Percentages — Paper 3 · IGCSE Mathematics 0580

1 Juana is travelling by plane from Spain to England. For Examiner's (a) Her case weighs 17.2 kilograms. Use The maximum weight allowed is 20 kilograms. By how much is the weight of her case below the maximum allowed? Answer (a) kg [1] (b) She changes 150 euros (€) into pounds (£). The exchange rate is €1 = £0.71. Calculate how much she receives. Answer (b) £ [1] (c) She travels from her home to the airport by train. She catches a train at 09 55 and the journey takes 45 minutes. (i) Write down the time she arrives at the airport. Answer (c)(i) [1] (ii) She has to wait until 12 10 to get on her plane. Work out how long she has to wait. Answer (c)(ii) h min [1] (d) The plane takes off at 12 40 Spanish time, which is 11 40 English time. 1 The flight takes 2 4 hours. What is the time in England when she arrives? Answer (d) [1] (e) The plane has seats for 420 passengers. 15% of the seats are empty. How many passengers are on the plane? Answer (e) [3]

8 marks

Mark scheme: Question Answer Marks Comments 1 (a) 2.8 1 ignore minus sign, accept 2800 g (b) 106.5(0) 1 107 is X (but remember to look back for 106.5) (c) (i) 10 40 1 accept 10.40, 10:40, 10.40 am (ii) 1 (hour) 30 (mins) 1 f.t. f.t. from (c)(i) [f.t. is (c)(i) > 12 10] accept 1 ½ (hours), 1.5 (hours), 90 (mins) (d) 13.55 1 accept 1.55 (pm) but 01 55 and 1.55 am are X (e) 357 3 M2 for 420 – 15 x 420/100, 420 x 85/100 o.e. or M1 for 15 x 420/100 o.e. answer of 63 is M1 implied 8

This question in 0580/31 May/June 2005

3 For Examiner's Use Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum temperature 4 6 0 −2 −4 2 oC Maximum temperature 8 10 5 7 2 7 oC The table shows the minimum and maximum temperatures on six days of a week. (a) (i) On Sunday the minimum temperature was 5 °C lower than on Saturday. The maximum temperature was 2 °C higher than on Saturday. Use this information to complete the table. [2] (ii) Find the difference between the minimum and maximum temperatures on Thursday. Answer(a)(ii) oC [1] (b) Use the table to complete the graphs below for all seven days. 10 Maximum temperature 8 6 4 Temperature oC 2 0 Monday Tuesday Wednesday Thursday Friday Saturday Sunday –2 Minimum temperature –4 –6 [2] (c) Use your graphs to find For (i) on how many days the temperature fell below −1 °C, Examiner's Use Answer(c)(i) [1] (ii) which day had the largest difference between minimum and maximum temperatures. Answer(c)(ii) [1] (d) The formula for changing degrees Celsius (C) to degrees Fahrenheit (F) is 9C F = + 32 . 5 Use the formula to change 6 degrees Celsius to degrees Fahrenheit. Show all your working. Answer(d) [2]

9 marks

Mark scheme: 3 (a) (i) –3 1 9 1 (ii) 9 1 ignore minus sign (b) correct max drawn 1 f.t. } f.t. is from (a)(i) [Sunday] correct min drawn 1 f.t. } allow Sunday (only) to be 1 square out horizontally } allow freehand straight lines IGCSE – JUNE 2005 0580/0581 3 (c) (i) 3 1 f.t. f.t. is 3 if Sunday negative otherwise 2 allow 3 out of 7 (ii) Sunday 1 f.t. f.t. if not Sunday is Thursday (d) 42.8 2 M1 for 9 x 6/5 + 32 or better e.g. 54/5 + 32, 10.8 + 32 answer of 43 is M1 implied 9

This question in 0580/31 May/June 2005

6 For Examiner's 20 cm Use NOT TO 10 cm SCALE brick face Part of the wall (a) A builder estimates the number of bricks in a wall by dividing the area of the wall by the area of the face of a brick. A brick wall is 10 metres long and 1.5 metres high. Each brick is 20 centimetres long and 10 centimetres high. Calculate how many bricks the builder estimates are in the wall. Show all your working. Answer(a) bricks [3] (b) Another wall will need 720 bricks. The builder adds an extra 5% to this number to allow for mistakes. (i) Calculate how many bricks the builder needs to buy. Answer(b) (i) bricks [2] (ii) Bricks are sold in packs of 100 which can not be split. How many packs should the builder buy? Answer(b) (ii) packs [1] (c) The builder mixes sand and cement in the ratio 5:2 to make mortar. He wants 14 buckets of mortar. (i) How many buckets of sand and how many buckets of cement does he need? Answer(c) (i) He needs buckets of sand and buckets of cement. [2] (ii) One bag of cement fills 3.5 buckets. How many bags of cement must the builder buy? Answer(c) (ii) bags [1]

9 marks

Mark scheme: 6 (a) 750cao 3 M1 Figs 10 ÷ figs 20 and figs 15 ÷ figs 10. OR M1 Figs 10 x Figs 15 and Figs 20 x Figs 10 M1 dep bricks in length × bricks in height. M1 dep. area of wall ÷ area of brick. If MO then SC1 for Figs 75 (b) (i) 756 2 M1 for 720 × 1.05 oe (ii) 8 1ft Their (b)(i) rounded up to the number of hundreds (c) (i) 10 1 4 1 (ii) 2 1ft Their cement buckets ÷ 3.5 and rounded up to next whole number 9

This question in 0580/31 Oct/Nov 2006

4 r 2r 5πr 2 The area of the shape is given by the formula A = . 2 (a) Calculate the area when r = 3 cm. Answer(a) A = cm2 [2] (b) Calculate the value of r when A = 200 cm2. Answer(b) r = cm [3] (c) Make r the subject of the formula. Answer(c) [3]

8 marks

Mark scheme: 4 (a) 70.7 art B2 M1 for 5 x π x 3² / 2 or better (b) 5.05 art B3 M1 for 200 = 5 x π x r² / 2 oe M1 for (r² =) 400 / 5π oe (c) (r =) √2A/5π B3 M1 for any correct x or ÷ of 1 term 2A = 5πr² MA1 for r² = 2A / 5π M1 for square root at end [8]

This question in 0580/31 Oct/Nov 2007

1 Alphonse, his wife and child fly from Madrid to the Olympic Games in Beijing. For The adult plane fare is 450 euros. Examiner's The child fare is 68% of the adult fare. Use (a) Show that the total plane fare for the family is 1206 euros. Show all your working clearly. Answer (a) [3] (b) The ratio of the money spent on plane fares : accommodation : tickets = 6 : 5 : 3. Calculate the total cost. Answer(b) euros [3] (c) Alphonse changes 500 euros into Chinese Yuan at a rate of 1 euro = 9.91 Chinese Yuan. How many Chinese Yuan does he receive? Answer(c) Yuan [2] (d) Their plane leaves Madrid at 05 45. The journey takes 11 hours 35 minutes. Beijing time is 6 hours ahead of Madrid time. Find the time in Beijing when they arrive. Answer(d) [2]

10 marks

Mark scheme: 1 (a) 0.68 x 450 M1 = 306 A1 2 x 450 + 306 (= 1206) M1 dep allow 900 or 450 + 450 SCM3 for 2.68 x 450 (= 1206) (b) 2814 B3 M1 for 1206 ÷ 6 (implied by 201) or 450 ÷ 6 or 306 ÷ 6 M1 dep for x (6 + 5 + 3) implied by 14 SCM2 for 1206 + 1005 + 603 (c) 4955 B2 M1 for 500 x 9.91 implied by figs 4955 (d) 2320 or 11 20 pm B2 SC1 for 1720 or 1120 seen SC1 for any arrival time + 6 soi [10]

This question in 0580/31 May/June 2008

1 Aida, Bernado and Cristiano need $30 000 to start a business. For Examiner's 2 Use (a) (i) They borrow of this amount. 5 Show that they still need $18 000. Answer (a)(i) [1] (ii) They provide the $18 000 themselves in the ratio Aida : Bernado : Christiano = 5 : 4 : 3. Calculate the amount each of them provides. Answer(a)(ii)Aida $ Bernado $ Cristiano $ [3] (b) (i) Office equipment costs 35 % of the $30 000. Calculate the cost of the equipment. Answer(b)(i)$ [2] (ii) Office expenses cost another $6500. Write this as a fraction of $30 000. Give your answer in its lowest terms. Answer(b)(ii) [2] (iii) How much remains of the $30 000 now? Answer(b)(iii)$ [1] (c) They invest $12 500. After one year this has increased to $15 500. Calculate this percentage increase. Answer(c) % [3]

12 marks

Mark scheme: Qu Answers Mark Part Marks 1 (a) (i) 3 × 30 000 M1 Must see evidence of fractions 5 or 30 000 − 52 × 30 000 (ii) Aida $7500 5 or 4 or 3 W3 M1 for 5+ 4 + 3 × 18000 Bernado $6000 A1 for 1 correct answer Christiano $4500 (b) (i) 10 500 W2 M1 for 10035 × 30 000 or 0.35 × 30 000 (ii) 13 6500 60 W2 W1 for 30000 seen or other ‘correct’ fraction. (iii) ($)13 000 W1ft 15500 (c) 24 W3cao M1 for 15 500 − 12500 or 12500 × 100 M1 for 12500' 3000 ' × 100 or ‘124’− 100

This question in 0580/31 Oct/Nov 2008

2 Francis earns $150 per week. Examiner's He has $132 left after he pays his tax. Use (a) Calculate what percentage of his $150 he pays in tax. Answer(a) % [3] (b) He divides the $132 between expenses, savings and family in the ratio Expenses : Savings : Family = 15 : 7 : 11. Calculate his expenses. Answer(b) $ [3] (c) His rent is $24 per week. What fraction of the $132 is this? Give your answer as a fraction in its simplest form. Answer(c) [2] (d) His earnings of $150 per week increase by 8%. Calculate his new earnings. Answer(d) $ [2]

10 marks

Mark scheme: 2 (a) 12 3 Either M1 for 150 − 132 soi M1 for ‘18’ ÷ 150 × 100 or M1 for 132/150×100 M1 for 100 – ‘88’ (b) 60 3 M1 for 15 + 7 +11 M1dep for 15 ÷‘33’ × 132, 132÷‘33’×15, 4×15 SC2 for 60:28:44 (c) 11 2 cao 2 W1 for 1266 or 448 or 336 or 224 (d) ($)162 2 M1 for 108 ÷ 100 × 150 or 150 + (8 ÷ 100 × 150) IGCSE – May/June 2010 0580 32

This question in 0580/32 May/June 2010

1 A bookshop sold a total of 2750 books in January. Examiner's Use (a) The ratio hardback books sold : paperback books sold was 4 : 7. Calculate how many paperback books were sold. Answer(a) [2] (b) 24% of the 2750 books sold were non-fiction. Calculate how many non-fiction books were sold. Answer(b) [2] (c) 330 cookery books were sold. Write 330 as a fraction of 2750 in its lowest terms. Answer(c) [2] (d) In February, the bookshop sold 14% more than the 2750 books sold in January. Calculate the number of books sold in February. Answer(d) [3] (e) The total value of the books sold in January was $9480 correct to the nearest 10 dollars. Write down the lower bound for this amount. Answer(e) $ [1] (f) 35000 books were sold in a year. Write this number in standard form. Answer(f) [1]

11 marks

Mark scheme: Qu. Answers Mark Part Marks 771 (a) 1750 2 M1 × 2750 oe 4 + 7 24× 2750 (b) 660 2 M1 100 3 (c) 2 W1 for equivalent fractions 25 114 (d) 3135 cao 3 M2 × 2750 oe 100 14 If M0 then M1 for × 2750 or 385 seen 100 (e) 9475 1 cao (f) 3.5 × 104 1 cao

This question in 0580/33 May/June 2010

5 A shopkeeper buys cheese for $3.75 per kilogram and sells it for $5.10 per kilogram. For Examiner's (a) Calculate his percentage profit. Use Answer(a) % [3] (b) Mrs Garcia buys cheese from the shopkeeper. Calculate the number of grams of cheese she can buy for $2.04 . Answer(b) g [2] (c) The shopkeeper sells 7 kg of cheese and has 3 kg left. (i) He reduces his selling price of $5.10 per kilogram by 70%. Calculate the reduced price. Answer(c)(i) $ [2] (ii) He sells the 3kg of cheese at the reduced price. Calculate the total amount of money he receives by selling all the cheese. Answer(c)(ii) $ [2]

9 marks

Mark scheme: 1.5 − .375 5 (a) 36 (%) 3 M2 for × 100 .375 1.5 M1 for or 136% or 1.36 or .375 5.1 – 3.75 implied by 1.35 (b) 400 2 M1 for 2.04 ÷ 5.1 implied by figs 4 (c) (i) 1.53 2 M1 for (1 – 0.7) × 5.1 oe or 5.10 – (5.10 × 0.70) (ii) 40.29 cao 2 M1 for 7 × 5.1 + 3 × their (c)(i) or 35.7 + (3 × their (c)(i) evaluated)

This question in 0580/31 Oct/Nov 2010

1 A drink consists of water and fruit juice. For Examiner's (a) 24% of the drink is water. Use Show that there is a total of 760 cm3 of fruit juice in one litre of the drink. Answer(a) [2] (b) What fraction of one litre of the drink is fruit juice? Give your answer in its simplest form. Answer(b) [2] (c) The 760 cm3 of fruit juice in one litre of the drink is made from apple, mango and peach in the following ratio. Apple : Mango : Peach = 6 : 15 : 17 Calculate the amount of apple juice. Answer(c) cm3 [2] (d) A shopkeeper buys bottles of the drink for 65 cents each. He sells them for 80 cents each. Calculate the percentage profit he makes on each bottle he sells. Answer(d) % [3]

9 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 0.76 × 1000 = 760 oe 2 B1 0.76 × 1000 or 1000 – 0.24 × 1000 19 760 76 38 (b) cao 2 B1 for or or 25 1000 100 50 (c) 120 2 M1 for 6 × 760 ÷ (6 + 15 + 17) or 6 ÷ (6 + 15 + 17) or 760 ÷ (6 + 15 + 17) or 20 (d) 23 or art 23.1 3 M1 for 80 – 65 (= 15) and M1 dep for ‘15’ ÷ 65 × 100

This question in 0580/32 Oct/Nov 2010

1 Mr and Mrs Clark and their three children live in the USA and take a holiday in Europe. For Examiner's (a) Mr Clark changes $500 into euros (€) when the exchange rate is €1 = $1.4593. Use Calculate how much he receives. Give your answer correct to 2 decimal places. Answer(a) € [2] (b) Tickets for an amusement park cost €62 for an adult and €52 for a child. Work out the cost for Mr and Mrs Clark and their three children to visit the park. Answer(b) € [3] (c) Mr Clark sees a notice: SPECIAL OFFER! Family ticket €200 Work out €200 as a percentage of your answer to part (b). Answer(c) % [1] (d) Mrs Clark buys 6 postcards at €0.98 each. For She pays with a €10 note. Examiner's Use Calculate how much change she will receive. Answer(d) € [2] (e) Children under a height of 130 cm are not allowed on one of the rides in the park. Helen Clark is 50 inches tall. Use 1 inch = 2.54 cm to show that she will not be allowed on this ride. Answer(e) [1]

9 marks

Mark scheme: Qu. Answers Mark Part Mark 1 (a) 342.63 2 M1 for 500 ÷ 1.4593 (b) 280 3 M1 for 2 × 62 + 3 × 52 B1 for 124 or 156 seen (c) 71.4 or 71.42 to 71.43 1ft (d) 4.12 2 B1 for 6 × 0.98 seen B1 for 5.88 or 4 + 6 × 0.02 (e) correct working 1 50 × 2.54 = 127 oe or 130 ÷ 2.54 = 51.2 or better

This question in 0580/31 May/June 2011

1 Falla buys 3000 square metres of land for a house and garden. For The garden is divided into areas for flowers, vegetables and grass. Examiner's Use He divides the land in the following ratio. house : flowers : vegetables : grass = 4 : 7 : 8 : 5 (a) (i) Show that the area of land used for flowers is 875 m2. Answer(a)(i) [2] (ii) Calculate the area of land used for the house. Answer(a)(ii) m2 [2] (b) Write down the fraction of land used for vegetables. Give your answer in its simplest form. Answer(b) [2] (c) During the first year Falla plants flowers in 64% of the 875 m2. For Examiner's Calculate the area he plants with flowers. Use Answer(c) m2 [2] (d) Falla sells some of the vegetables he grows. These vegetables cost $85 to grow. He sells them for $105. Calculate his percentage profit. Answer(d) % [3] (e) To buy the land Falla borrowed $5000 at a rate of 6.4% compound interest for 2 years. Calculate the total amount he pays back at the end of the 2 years. Give your answer correct to the nearest dollar. Answer(e) $ [3]

14 marks

Mark scheme: Qu. Answers Mark Part Marks 77 1 (a) (i) 3000 ÷ ( 4 + 7 + 8 + 5) 2 M2 for × 3000 24 and multiply by 7 M1 for 3000 ÷ (24 or their clear attempt at total) (ii) 500 www cao 2 M1 for 4 ÷ their 24 × 3000 oe or 74 × 875 1 8 4 2 2 (b) 2 B1 for or or oe seen or SC1 3 24 12 6 5 (c) 560 2 M1 for 64 ÷ 100 × 875 or 0.64 × 875 oe (d) 23.5 or 23.52 to 23.53 3 W1 for 105 − 85 implied by 20 M1dep for their (105 − 85) ÷ 85 × 100 (e) 5660 3 B2 for 5660.48 or 5660.5 or 660 4.6 4.6 If B0 then M1 for 5000 × 1( + ) × 1( + ) or 100 100 better

This question in 0580/32 May/June 2011

1 (a) Write twenty five million in figures. For Examiner's Answer(a) [1] Use (b) Write the following in order of size, starting with the smallest. 2 65% 0.6 3 Answer(b) I I [1] (c) In a sale a coat costing $250 is reduced to $200. Find the percentage decrease in the cost. Answer(c) % [3] (d) Basketball NOT TO SCALE 90° 150° Football Tennis 120 students are asked to choose their favourite sport. The results are shown in the pie chart. Calculate the number of students who chose (i) basketball, Answer(d)(i) [1] (ii) football. Answer(d)(ii) [2]

8 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 25 000 000 cao 1 2 (b) 0.6 < 65% < 1 3 their 50 (c) 20% 3 B1 for 50 seen M1 for × 100 250 or B1 for 0.8 or 80 seen M1 for 1 – their 0.8 or 100 – their 80 (d) (i) 30 1 (ii) 40 2 M1 for 360 – (90 + 150) implied by 120 seen

This question in 0580/31 Oct/Nov 2011

10 For Examiner's Use x m 2 m 10 m NOT TO SCALE 5 m The diagram shows a ramp in the form of a triangular prism. The cross-section is a right-angled triangle of length 5 m and height 2 m. (a) Find the value of x. Give your answer correct to 1 decimal place. Answer(a) x = [3] (b) Find the area of the cross-section. Answer(b) m2 [2] (c) The ramp is 10 m long. Calculate the volume of the ramp. Answer(c) m3 [1] (d) Calculate the total surface area of all five faces of the ramp. For Examiner's Use Answer(d) m2 [3] (e) Each face of the ramp is painted. Paint costs $2.25 per square metre. Calculate the total cost of the paint. Answer(e) $ [1] Question 11 is printed on the next page.

10 marks

Mark scheme: 10 (a) 5.4 cao 3 M1 for 22 + 52 (= x2) implied by 29 A1 5.38(51..) or 29 or 5.39 B1 indep for rounding their answer to 1 decimal place (b) 5 2 M1 for 0.5 × 5 × 2 oe (c) 50 1ft 10 × their (b) (d) 134 3ft M2 for 2 × their (b) + 10 × their (a) + 2 × 10 + 5 × 10 or better M1 for any 3 faces correct (e) 301.5(0) 1ft Their (d) × 2.25

This question in 0580/31 Oct/Nov 2011

2 Aminata buys a business costing $23 000. For Examiner's (a) She pays part of this cost with $12 000 of her own money. Use Calculate what percentage of the $23 000 this is. Answer(a) % [1] (b) Aminata’s brother gives her 32% of the remaining $11 000. Show that $7 480 is still needed to buy the business. Answer(b) [2] (c) Aminata borrows the $7 480 at a rate of 3.5 % per year compound interest. Calculate how much money she owes at the end of 3 years. Answer(c) $ [3] (d) In the first year Aminata spent $11 000 on salaries, equipment and expenses. 2 of this money was spent on salaries, 0.45 of this money was spent on equipment and the 5 remainder was for expenses. Calculate how much of the $11 000 was spent on (i) salaries, Answer(d)(i) $ [1] (ii) equipment, Answer(d)(ii) $ [1] (iii) expenses. Answer(d)(iii) $ [1] (e) The three items in part (d) are in the ratio salaries : equipment : expenses = 0.4 : 0.45 : 0.15 . Write this ratio in its simplest form. Answer(e) : : [2]

11 marks

Mark scheme: 2 (a) 52.2(%) or 52.17… 1 (b) 11000 − (32 ÷ 100 × 11000) M1 or (68 ÷ 100 × 11000) (=) 7480 E1 Must see this for the second mark. (c) 8293 or 8290 or 8293.2 3 Either M1 for 7480 × 1.0352 oe or 8293.21 as final answer or M1 for 7480 × 1.035 = 7741.8 and their 7741.8 × 1.035 (M1 implied by 8012.76...) Then M1 dep for completion of method for the third year If zero SC1 for answer 813.(2…) (d) (i) 4 400 1 (ii) 4 950 1 (iii) 1 650 1ft 11 000 − their (d)(i) − their (d)(ii) (e) 8 : 9 : 3 cao 2 B1 for 40 : 45 : 15 oe seen or correct non-integer ratio IGCSE – October/November 2011 0580 32 ( ) (i) ( ) −2 

This question in 0580/32 Oct/Nov 2011

1 Caroline goes to a shop. For Examiner's The shopping bill shows the items she buys. Use Item Cost ($) 1 packet of cereal 1.20 3 bottles of water at $0.45 each 1.35 2 cartons of milk at $0.82 each 4 kg of rice at $0.90 per kg 0.7 kg of apples at $2.40 per kg (a) Complete the shopping bill. [3] (b) (i) Calculate the total amount of money Caroline spends at the shop. Answer(b)(i) $ [1] (ii) Caroline pays with a $10 note. Calculate how much change she receives. Answer(b)(ii) $ [1] (c) Caroline arrived at the shop at 09 48. For She was in the shop for 18 minutes. Examiner's She then took 5 minutes to walk to a café. Use She was in the café for 20 minutes. (i) At what time did Caroline leave the café? Answer(c)(i) [2] (ii) Caroline then went to the library. She was in the library for 45 minutes. Work out the ratio time in the shop : time in the library. Give your answer in its simplest form. Answer(c)(ii) : [2] (d) When Caroline left home she had $36.50. She returned home with $12.74. Calculate $12.74 as a percentage of $36.50. Answer(d) % [1]

10 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 1.64 B1 3.6(0) B1 1.68 B1 (b) (i) 9.47 ft 1ft ft their table (ii) 0.53 ft 1ft ft their (i) (c) (i) 10 31 2 B1 for 43 seen (ii) 2 : 5 cao 2 B1 for 18 : 45 oe (d) 34.9 1

This question in 0580/33 Oct/Nov 2011

1 (a) Indira buys 1250 square metres of land to build a hotel. For Each square metre of land costs $12 . Examiner's Use Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel. Answer(b) $ [2] (c) The hotel has 84 rooms. The types of room are in the ratio family : double : single = 3 : 5 : 4 . Calculate the number of double rooms. Answer(c) [2] (d) Each single room is a cuboid, 4.5 m long, 3.2 m wide and 2.8 m high. Calculate the volume of a single room. Answer(d) m3 [2] (e) The total hotel income for the first year was $992 000 . For 3 Examiner's (i) The hotel spent of the total hotel income on staff wages. Use 8 Calculate the staff wages. Answer(e)(i) $ [1] (ii) The hotel also spent $420 000 on food. Calculate how much of the total hotel income was left. Answer(e)(ii) $ [2] (iii) Calculate $420 000 as a percentage of $992 000 . Give your answer correct to 1 decimal place. Answer(e)(iii) % [2] (f) To make improvements, Indira borrows $3 500 at a rate of 6% per year simple interest. She pays back all the amount at the end of 3 years. Calculate the total amount she needs to repay. Answer(f) $ [3]

15 marks

Mark scheme: Qu. Answers Mark Part Mark 1 (a) ($) 15 000 1 (b) ($) 500 000 2ft M1 for their 15 000 ÷ 3 × 100 (c) 35 2 M1 for 84 ÷ ( 3 + 5 + 4) or 84 ÷ 12 (d) 40.32 or 40.3 2 M1 for 4.5 × 3.2 × 2.8 (e) (i) ($) 372 000 1 (ii) ($) 200 000 2ft M1 for 992 000 − (their (e)(i) + 420 000) (iii) 42.3 cao 2 M1 for 420 000 ÷ 992 000 × 100 or better (f) ($) 4130 3 M1 for 3500 × 3 × 6 ÷ 100 oe A1 for 630 soi After M1A0 then SCB1 for their 630 + 3500

This question in 0580/32 May/June 2012

4 (a) In a café the price of an adult’s meal is $24 and the price of a child’s meal is $16. For A 12% service charge is added to the costs of the meals. Examiner's Use Calculate the total cost of meals for 2 adults and 3 children. Answer(a) $ [3] (b) On a Saturday night the adult meal price of $24 is increased by 20%. Calculate the increased price of this meal. Answer(b) $ [2] (c) The price of a large cup of coffee increases from $3.00 to $3.42 . Calculate the percentage increase in the price. Answer(c) % [3]

8 marks

Mark scheme: 4 (a) 107.52 3 M1 2×24 + 3×16 or 96 M1 for their 96 × 1.12 oe (b) 28.8(0) 2 M1 for 24 × 1.2(0) oe (c) 14 3 B1 for 42(c) or ($ 0).42 42 .042 M1 for their oe (× 100) or (× 100) 300 3 .342 342 alt. method : M1 (× 100) or (× 100) 3 300 M1 their 114 – 100

This question in 0580/33 May/June 2012

2 (a) Luka earns $475 each week. For Examiner's Use (i) He works for 38 hours each week. How much does he earn for each hour he works? Answer(a)(i) $ [1] (ii) Luka pays $175 in rent each week. Write the amount he pays in rent as a fraction of his weekly earnings. Give your answer in its lowest terms. Answer(a)(ii) [2] 7 (iii) He spends of his weekly earnings on bills. 20 How much money does he have left after paying rent and bills? Answer(a)(iii) $ [2] (b) Luka’s weekly earnings of $475 are increased by 6%. Calculate his new weekly earnings. Answer(b) $ [2] (c) Luka has saved $350. He invests this for 2 years at a rate of 4% per year compound interest. How much interest does he receive after 2 years? Answer(c) $ [3]

10 marks

Mark scheme: 2 (a) (i) 12.5(0) 1 7 175 (ii) 2 B1 for oe seen 19 475 7 (iii) 133.75 2 M1 for × 475 20 (b) 503.5(0) 2 M1 for 106 ÷ 100 × 475 Or 475 + (6 ÷ 100 × 475) (c) 28.56 3 M1 for 350 × 1.042 oe dep M1 for ‘their 378.56’ – 350 Or M1 for (350 × 0.04) (imp by 14) and (350 + ‘their 14’) × 0.04 (imp by 14.56) dep M1 ‘their 14’ + ‘their 14.56’ IGCSE – October/November 2012 0580 31

This question in 0580/31 Oct/Nov 2012

3 Mrs Ali sold her house for $600 000. For Examiner's Use 2 (a) She gives of the money to her son. 5 Work out how much her son receives. Answer(a)$ [1] (b) Mrs Ali gives $2400 to her grandchildren Elize, Sam and Juan in the ratio Elize : Sam : Juan = 8 : 3 : 5 . Calculate how much they each receive. Answer(b) Elize $ Sam $ Juan $ [3] (c) Mrs Ali invests $200 000 for 3 years at a rate of 4% per year compound interest. Calculate the total amount of money she will have at the end of the 3 years. Give your answer correct to the nearest dollar. Answer(c) $ [3] (d) Mrs Ali spends a total of $9000 on the following items. For Examiner's Use Amount spent ($) Angle in pie chart Holiday 4050 162° Television 90° Clothes 1800 72° Computer (i) Complete the table. [3] (ii) Complete the pie chart. Label each of your sectors. Holiday [2]

12 marks

Mark scheme: 3 (a) 240000 1 (b) 1200, 450, 750 3 SC2 for all three correct in wrong order seen SC1 for 2400 ÷ 16 implied by 150 (c) 224973 3 M2 224972.8 or 200000 × 1.043 or 224793.0(0) if M0 M1 200000 × 1.042 or 216320 SC1 for their answer correctly rounded to nearest dollar (d) (i) 2250 1,1,1 If first B0,B0 then SC1 for adding to 3150 900 36 (ii) 2 correct sectors 1 correct labels 1 Must only be 4 sectors in total

This question in 0580/33 Oct/Nov 2012

8 Ben and Ruth own a company. For Examiner′s Use (a) The company’s profi ts of $43 680 are shared in the ratio Ben : Ruth = 2 : 5 . Calculate Ruth’s share of the profi ts. Answer(a) $ … [2] (b) Ruth invests $15 000 at a rate of 4% per year simple interest. Calculate how much her investment is worth at the end of 3 years. Answer(b) $ … [3] (c) The company employs 450 people. 14% of these people work in sales. Calculate the number of people who work in sales. Answer(c) … [2] (d) Every year Ben travels 32 000 km on business. For Examiner′s Use (i) Car-rent Cost ($) = 600 + 0.35d where d is the distance travelled in kilometres Calculate the cost of hiring a car from Car-rent to travel 32 000 km. Answer(d)(i) $ … [2] (ii) Drive-easy Cost = $100 plus $4 for every 10 km travelled Calculate the cost of hiring a car from Drive-easy to travel 32 000 km. Answer(d)(ii) $ … [2] _____________________________________________________________________________________

11 marks

Mark scheme: 8 (a) 31 200 2 M1 for (43 680 ÷ 7) × 5 or 6240 × 5 (b) 16 800 3 M2 for 15 000 + 15 000 × 0.04 × 3 oe or M1 for 15 000 × 0.04 × 3 oe, imp by 1800 (c) 63 2 M1 for 450 × [0].14 oe (d) (i) 11 800 2 M1 for 600 + 0.35 × 32 000 or better (ii) 12 900 2 M1 for 100 + 4 × 32 000 ÷ 10 or better IGCSE – May/June 2013 0580 31

This question in 0580/31 May/June 2013

9 A family of 2 adults and 3 children are on holiday. For Examiner′s They each hire a mountain bike from the hotel. Use Large mountain bike Small mountain bike First hour Each extra hour First hour Each extra hour $6 $2 $3.60 $1.20 (a) The family hire 2 large and 3 small mountain bikes for 5 hours. (i) Work out the total cost. Answer(a)(i) $ … [3] (ii) The hotel gives the family a discount of 15% on the total cost. Work out how much the family pays. Answer(a)(ii) $ … [2] (b) A wheel of a large bike has a radius of 32 cm. (i) Calculate the circumference of a wheel of a large bike. Answer(b)(i) … cm [2] (ii) The family cross a bridge which is 24 m long. For Examiner′s Use Calculate how many complete turns a wheel of a large bike makes to cross the bridge. Answer(b)(ii) … [2] (c) The diagram shows part of a wheel of a large bike. There is an angle of 9° between two metal spokes. Each spoke is 29 cm long. 9° NOT TO SCALE Calculate the total length of metal, in metres, needed to make the spokes for one wheel. Answer(c) … m [3] _____________________________________________________________________________________ Question 10 is printed on the next page.

12 marks

Mark scheme: 9 (a) (i) 53.2[0] 3 SC2 for 60.80 M2 for 2 × (6 + 4 × 2) + 3 × (3.60 + 4 × 1.20) or better or for 2 × 6 + 3 × 3.60 + 4(2 × 2 + 3 × 1.20) or better if M0 then B1 for 28 or 25.20 or 22.80 or 22.40 or 30.40 or 12 and 10.80 or 16 and 14.40 or 14 and 8.40 seen (ii) 45.22 2ft M1ft for ‘their ai’ × 0.85 oe (b) (i) 201 or 201.06 to 201.1 or 2.01m 2 M1 for 2 × π × 32 oe 2400 (ii) 11 final answer 2 M1ft for both in cm their bi 24 or both in m their bi or SC1 for figs ‘119……’ 360 (c) 11.6 3 M1 for × 29 or better, implied by 9 1160 and M1 indep for ‘their 1160’ / 100 soi or 0.29 seen

This question in 0580/32 May/June 2013

1 (a) Kasem earns $900 each month. For Examiner′s 14% of this amount is deducted for tax and insurance. Use Show that he receives $774 each month. Answer(a) [2] 2 (b) He pays of the $774 in rent. 9 Calculate the amount of rent he pays. Answer(b) $ … [1] (c) Kasem spends $480 each month on food, entertainment and clothes. He shares this in the ratio food : entertainment : clothes = 9 : 3 : 4. Calculate how much he spends on food each month. Answer(c) $ … [2] (d) Kasem saves the rest of his money. Work out the amount he saves as a percentage of $774. Answer(d) … % [2] _____________________________________________________________________________________

7 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 900 × 86 ÷ 100 = 74 2 M1 for 900 × 14 ÷ 100 A1 for 900 – 126 = 774 (b) [$] 172 1 (c) [$] 270 2 M1 for 480 ÷ (9 + 3 + 4) (d) 15.8 or 15.76(...) 2ft B1 for 774 – their (b) – 480 B1 Or 294 – their (b) SC1 for 38 or 37.9

This question in 0580/33 May/June 2013

5 (a) The cost, $C, of a party for n people is calculated using the following formula. For Examiner′s Use C = 130 + 4n (i) Calculate C when n = 25. Answer(a)(i) … [2] (ii) Eurdley has a party which costs $1138. How many people is this party for? Answer(a)(ii) … [2] (b) Solve the following equations. (i) 3x = 27 Answer(b)(i) x = … [1] (ii) 8y – 4 = 24 Answer(b)(ii) y = … [2] (iii) 4(5q – 2) = 72 Answer(b)(iii) q = … [3] (c) Solve the simultaneous equations. 6x + 8y = –31 14x – 5y = 46 Answer(c) x = … y = … [4] _____________________________________________________________________________________

14 marks

Mark scheme: 5 (a) (i) 230 2 M1 for 130 + 4 × 25 or better (ii) 252 2 M1 for 4n = 1138 – 130 or better Or (1138 – 130) / 4 or better (b) (i) 9 1 (ii) 3.5 2 M1 for 8y = 24 + 4 or better Or y – 4/8 = 24/8 or better (iii) 4 3 M1 for first correct step M1FT for second correct step (c) x = 1.5 or 3/2 4 M1 for correctly equating one set of y = –5 coefficients. M1 for correct method to eliminate one variable. A1 for x = 1.5 A1 for y = –5

This question in 0580/31 Oct/Nov 2013

2 Ravi sells cars. For Examiner′s Use (a) He has a total of 144 cars for sale. (i) 64 of these cars are 3 or more years old. What fraction of the cars are less than 3 years old? Give your answer in its simplest form. Answer(a)(i) … [2] (ii) Some of the 144 cars use petrol, some use diesel and some are electric cars. The ratio of petrol to diesel to electric cars is 6 : 5 : 1 . Work out the number of these cars that use diesel. Answer(a)(ii) … [2] (b) Lola buys a car from Ravi. There are two ways she can pay for the car. Option 1: one payment of $5200 . 2 Option 2: a payment of of $5200 plus 24 monthly payments, each of $175 . 5 Work out how much more Lola pays using Option 2 than Option 1. Answer(b) $ … [3] (c) For one week, Ravi reduces all his car prices by 15%. The price of a car was $3450. Show that the reduced price of the car is $2932.50 . Answer(c) [2] (d) Ravi buys a car for $2500 . He sells it for $3300 . Calculate his percentage profi t. Answer(d) … % [3] _____________________________________________________________________________________

12 marks

Mark scheme: 5 80 2 (a) (i) 2 B1 for or better or 0.556 or 0.555… or 9 144 4 answer 9 (ii) 60 2 M1 for 144 ÷ (6+5+1) or 144÷12 (b) 1080 3 M1 for 2 ÷ 5 × 5200 soi by 2080 And M1 for their 2080 + 24×175 – 5200 or better (c) 0.85 × 3450 2 B1 for 0.85 or for 0.15 × 3450 Or 3450 – 0.15 × 3450 3300 − 2500 (d) 32 3 M2 for × 100 oe 2500 3300 or ( – 1 ) × 100 oe 2500 Or 3300 − 2500 3300 B1 for 800 or or or 2500 2500 1.32 or 132 or 0.32

This question in 0580/32 Oct/Nov 2013

5 (a) Jasmine works for 38 hours each week and she earns $12.15 each hour. (i) Calculate her earnings in one week. Answer(a)(i) $ … [1] (ii) Jasmine pays 14% of her earnings in tax. Calculate how much money she has left after tax is paid. Answer(a)(ii) $ … [2] 1 (iii) She pays of the money she has left after tax in rent. 3 Calculate how much rent she pays in one year (52 weeks). Answer(a)(iii) $ … [2] (iv) In one week she spends $140 on food and electricity in the ratio food : electricity = 3 : 2 . Calculate how much she spends on food. Answer(a)(iv) $ … [2] (b) Jasmine buys a watch for 10 000 Japanese Yen (¥). The exchange rate is $1 = ¥ 80.4 . Calculate the cost of this watch in dollars, giving your answer correct to the nearest dollar. Answer(b) $ … [3] __________________________________________________________________________________________

10 marks

Mark scheme: 5 (a) (i) 461.7(0) cao 1 (ii) 397.06 or 397.1 or 397 or 2FT M1FT for their (a)(i) × 0.86 oe soi 397.062 (iii) 6880 or 6882 or 6882.(…) 2FT M1FT for their (a)(ii) ÷ 3 soi or their (a)(ii) × 52 soi (iv) 84 2 M1 for 140 × 3 ÷ (3 + 2) (b) 124 cao 3 B2 for 124.3(…….) or 124.4 if B0 then M1 for 10 000 ÷ 80.4 B1 for rounding their answer, if decimal, to the nearest integer

This question in 0580/32 May/June 2014

1 A building company buys 4 square kilometres of land. On the land the company builds houses, shops and a school. (a) Show that 4 square kilometres is equivalent to 4 000 000 square metres. Answer(a) [1] (b) The company uses 5% of the land for roads and paths. Show that the remaining area of land is 3 800 000 m2. Answer(b) [1] (c) The 3 800 000 m2 of land is divided in the ratio houses : shops : school = 11 : 5 : 3. (i) Show that the area for the school is 600 000 m2. Answer(c)(i) [2] (ii) Calculate the area for houses. Answer(c)(ii) … m2 [1] (iii) 140 m2 is needed for each house. Calculate, correct to the nearest 10, the number of houses that can be built. Answer(c)(iii) … [2] 3 1 (d) of the school area is for classrooms and is for other rooms. 5 8 The remainder is for sporting facilities. (i) Without using a calculator, and showing all your working, fi nd the fraction of the school area for sporting facilities. Answer(d)(i) … [3] (ii) The school has an area of 600 000 m2. Work out the area for sporting facilities. Answer(d)(ii) … m2 [1] (e) To pay for materials, the building company borrows $250 000 from a bank for 3 years. The bank charges compound interest at a rate of 4% per year. Calculate the total amount the company must pay back at the end of 3 years. Answer(e) $ … [3] __________________________________________________________________________________________

14 marks

Mark scheme: 1 (a) 4 × 1000 × 1000 or 4 × 10002 1 (b) 0.95 × 4 000 000 oe 1 (c) (i) 3 ÷ 19 × 3 800 000 2 M1 for 3 ÷ (11 + 5 + 3) or 3 800 000 ÷ (11 + 5 + 3) (ii) 2 200 000 1 (iii) 15 710 2FT M1FT for their 2 200 000 ÷ 140  24 5  24 5 3 × 8 1 × 5 (d) (i) 1 −  +  M2 M1 for or or or  40 40  40 40 5 × 8 8 × 5 11 11 k or final answer A1 If zero scored, 40 40 k 275 SC3 for 1 – (0.6 + 0.125) = 0.275 = = 1000 11 11 k [ or ] 40 40 k or 275 SC2 for 1 – (0.6 + 0.125) = 0.275 = 1000 followed by incorrect fraction 11 11 k SC1 for or final answer 40 40 k (ii) 165 000 1FT FT their (d)(i) × 600 000 (e) 281 216 cao 3 M2 for 250 000 × 1.043 oe or M1 for 250 000 × 1.042 oe If zero scored, SC1 for 31 216

This question in 0580/32 Oct/Nov 2014

9 Adriano hires a car. The cost of hiring the car is $36 per day plus 24 cents for each kilometre travelled. He hires the car for 5 days and travels a total of 660 km. (a) (i) Calculate the cost to hire the car. Answer(a)(i) $ … [3] (ii) 15% tax is then added to this cost. Calculate the total cost of hiring the car including tax. Answer(a)(ii) $ … [2] (b) The car uses one litre of fuel to travel 11 km. Fuel costs $1.80 per litre. (i) Work out the number of litres used to travel the 660 km. Answer(b)(i) … litres [1] (ii) Work out the cost of this fuel. Answer(b)(ii) $ … [1] (iii) Find the total cost of hiring the car including tax and the fuel used. Answer(b)(iii) $ … [1] (c) During the 5 days Adriano earns $1600. What percentage of his earnings is your answer to part (b)(iii)? Give your answer correct to the nearest whole number. Answer(c) … % [2]

10 marks

Mark scheme: 9 (a) (i) 338.4[0] 3 M2 for 5 × 36 + 660 × 0.24 or better or M1 for 5 × 36 or 660 × 0.24 or better (ii) 389.16 2FT M1FT for 1.15 × their (a)(i) oe (b) (i) 60 1 (ii) 108 1FT 1.8 × their (b)(i) (iii) 497.16 1FT FT their (a)(ii) + their (b)(ii) their (b)(iii) (c) 31 nfww 2FT M1FT for × 100 1600

This question in 0580/32 Oct/Nov 2014

5 All the children in a school are asked to choose their favourite colour. The pie chart shows the results. Green Red Blue Yellow (a) Write down the least favourite colour chosen. Answer(a) … [1] (b) 27 children choose yellow as their favourite colour. Work out the total number of children in the school. Answer(b) … [3] (c) Work out the percentage of the children in the school who choose red. Answer(c) … % [2] __________________________________________________________________________________________

6 marks

Mark scheme: 5 (a) green 1 (b) 72 3 B1 for 135° ± 2° seen 360 × 27 M1 for oe their 135 (c) 22.2 2 80 ± 2 M1 for × 100 360 or their red M1FT for × 100 their total

This question in 0580/31 May/June 2015

2 (a) Simplify. 7e – 5f + 4e – f Answer(a) … [2] (b) Find the value of 8g – 9h when g = 5 and h = –3. Answer(b) … [2] (c) Solve the equation. 4x – 7 = 29 Answer(c) x = … [2] (d) Simplify. k 4 ÷ k 11 Answer(d) … [1] (e) Pens cost p cents and pencils cost w cents. (i) Aisha buys 3 pens and 5 pencils for $2.20 . Complete the equation representing this cost in cents. Answer(e)(i) 3p + 5w = … [1] (ii) Bishen buys 4 pens and 10 pencils for $3.50 . Write down an equation representing this cost in cents. Answer(e)(ii) … [1] (iii) Solve your equations to find the value of p and the value of w. Answer(e)(iii) p = … w = … [3] __________________________________________________________________________________________

12 marks

Mark scheme: 2 (a) 11e – 6f as final answer 2 B1 for either 11e or –6f in their final answer (b) 67 2 B1 for 8 × 5 – 9 × –3 or 40 or +27 (c) 9 2 M1 for algebraic first step correct 4x = 29 + 7 7 29 or x – = or better 4 4 (d) k–7 oe 1 (e) (i) 220 1 (ii) 4p + 10w = 350 1 (iii) [p =] 45, [w =] 17 3 M1FT for correct elimination of one variable from their equations A1 for p = 45 A1 for w = 17 If zero scored, SC1FT for 2 values satisfying one of their original equations

This question in 0580/32 May/June 2015

3 One day Raphael asked 90 people at a station the reason for their train journey. (a) (i) Complete the table which shows the angles for the sectors in a pie chart. Reason Frequency Angle Work 24 96° Holiday 16 64° Shopping 19 Other 31 [2] (ii) Complete the pie chart to show this information. Work Holiday [1] (b) Raphael selects one person at random. Write down the probability that this person is going to work. Give your answer as a fraction in its simplest form. Answer(b) … [2] (c) 405 people used the station that day. Using Raphael’s information, calculate how many of the 405 people are likely to be going on holiday. Answer(c) … [2]

7 marks

Mark scheme: 3 (a) (i) 76, 124 2 B1 for each or SC1 for two angles adding to 200 (ii) pie chart with two correct sectors 1 FT their table providing two angles adding to 200 4 96 24 (b) final answer cao 2 M1 for or isw oe 15 360 90 405× 64 405× 16 (c) 72 2 M1 for or oe 360 90

This question in 0580/33 May/June 2015

8 (a) (i) A = 4πr2 Work out the value of A when r = 5.6 . Give your answer correct to 1 decimal place. Answer(a)(i) A = … [2] (ii) Simplify the expression. 2a – b + 5a – 3b Answer(a)(ii) … [2] (iii) Solve the equation. x = 6 3 Answer(a)(iii) x = … [1] (iv) Solve the equation. x – 2 = 9 Answer(a)(iv) x = … [1] (b) Solve the simultaneous equations. You must show all your working. 2x + 3y = 4 3x – 4y = 23 Answer(b) x = … y = … [4]

10 marks

Mark scheme: 8 (a) (i) 394.1 cao 2 M1 for 394[. …] or 4 × π × 5.62 (ii) 7a − 4b final answer 2 B1 for either 7a or −4b in their final answer (iii) 18 1 (iv) 11 1 (b) [x =] 5 4 M1 for correctly equating one set of [y =] –2 coefficients M1 for correct method to eliminate one Working must be shown variable A1 for [x =] 5 A1 for [y =] −2 If zero scored SC1 for 2 values satisfying one of the original equations SC1 if no working shown but 2 correct answers

This question in 0580/33 May/June 2015

3 (a) Luis buys a season ticket to watch his local football team. The season ticket costs $595. (i) Luis buys the season ticket online and gets a 5% discount on the $595. Work out how much Luis pays for the season ticket online. Answer(a)(i) $ … [2] (ii) A ticket to watch one match costs $38. Luis watches 16 matches. How much did Luis save by buying a season ticket online instead of 16 tickets at $38 each? Answer(a)(ii) $ … [2] (b) The football stadium has 26 272 seats. The number of people who attend one match is 23 854. Calculate the percentage of the 26 272 seats that are empty. Answer(b) … % [2] (c) The total number of people attending matches at the stadium last season was 506 762. Write 506 762 in standard form, correct to 3 significant figures. Answer(c) … [2] (d) Last season the team played a total of 45 matches. The table shows the results of these matches. Result Number of matches Pie chart sector angle Won 20 160° Drawn 15 Lost 10 (i) Complete the table. [3] (ii) Complete the pie chart. Won [1] (e) The table shows the total attendance figures for all the teams in the league for two seasons. Season Total attendance A 9.76 × 106 B 1.36 × 107 Work out how much greater the attendance was in season B than in season A. Give your answer in standard form. Answer(e) … [2] __________________________________________________________________________________________

14 marks

Mark scheme: 3 (a) (i) 565.25 2 M1 for − 1 5  × 595 oe  100  (ii) 42.75 2FT 2FT if positive difference (ie (a)(i) < 608) M1 for 38 × 16 (or 608) – their (a)(i) (b) 9.2[0…] 2 M1 for  26272 − 23854  × 100 oe or  26272  − 1 23854  × 100 oe or  26272  23854 100 − × 100 oe 26272 (c) 5.07 × 105 cao 2 B1 for figs 507 or for a × 105 (a ≠ 0) (d) (i) 120° 3 B2 for one correct 80° 15 10 160 or M1 for × 360 or × 360 or × 15 45 45 20 160 or × 10 or better 20 (ii) Pie chart correct 1FT FT if their angles add to 200° (e) 3.84 × 106 2 B1 for answer figs 384

This question in 0580/31 Oct/Nov 2015

6 A sweet shop sells lots of different types of sweets. (a) (i) Each large bag of mixed sweets is divided in the ratio mints : jellies : toffees = 5 : 2 : 8. Each large bag has a total of 180 sweets. Calculate the number of sweets of each type in a large bag. Answer(a)(i) Mints = … Jellies = … Toffees = … [3] (ii) The mass, m grams, of a small bag of sweets is 75 g, correct to the nearest gram. Complete the statement about the value of m. Answer(a)(ii)…………….  m  ………….. [2] (b) There are 156 g of sugar in a 240 g bar of chocolate. (i) Write 156 as a percentage of 240. Answer(b)(i) … % [1] (ii) Work out the number of grams of sugar in a 1.2 kilogram bar of chocolate. Answer(b)(ii) … g [2] (iii) Another bar of chocolate is made. The mass is 35% greater than the 240 g bar. Work out the mass of this chocolate bar. Answer(b)(iii) … g [2] (c) A girl buys a large piece of fudge. She eats 103 herself and divides the rest equally between 4 friends. Work out the fraction of this fudge that each friend receives. Answer(c) … [2] (d) Gabriella and Max buy some bags of mints and some bags of toffees from the shop. The cost of one bag of mints is m cents and the cost of one bag of toffees is t cents. (i) Gabriella buys 3 bags of mints and 5 bags of toffees for $4.70 . Complete the equation. 3m + 5t = … [1] (ii) Max buys 4 bags of mints and 3 bags of toffees for $3.70 . Write this information as an equation. Answer(d)(ii) … = … [2] (iii) Solve your two equations to find the cost of a bag of mints and the cost of a bag of toffees. You must show all your working. Answer(d)(iii) Cost of a bag of mints = … cents Cost of a bag of toffees = … cents [4]

19 marks

Mark scheme: 6 (a) (i) 60, 24, 96 3 180 M2 for × k where k is 5, 2 or 8 (5 + 2 + 8) or better 180 or M1 for or better (5 + 2 + 8) If zero scored SC1 for all correct answers in incorrect order (ii) 74.5 1 SC1 for both answers correct but reversed 75.5 1 (b) (i) 65 1 (ii) 780 2 M1FT for their 65 156 × 2.1 × 1000 or × 2.1 × 1000 oe 100 240 If zero scored SC1 for figs 78 (iii) 324 2 M1 for 240 × 1.35 oe 7 k 3  (c) 2 M1 for − 1  ÷ 4 oe 40 k  10  (d) (i) 470 1 (ii) 4m + 3t = 370 2 B1 for 4m + 3t seen (iii) Correct working and 4 M1FT for correctly equating one set of [m] 40 coefficients [t] 70 M1FT for correct method to eliminate one variable A1 for m = 40 A1 for t = 70 If zero scored SC1 for either: 2 correct answers given or 2 values satisfying one of their original equations

This question in 0580/32 Oct/Nov 2015

2 Kylie, Rio and Choi buy a horse for $21 600. (a) They pay for the horse in the ratio Kylie : Rio : Choi = 2 : 3 : 4. Calculate the amount that they each pay. Answer(a) Kylie $ … Rio $ … Choi $ … [3] (b) It costs $14 000 to keep the horse for one year. (i) Food costs 30% of the $14 000. Calculate the cost of the food. Answer(b)(i) $ … [2] (ii) Stable fees are $8000. Write this as a fraction of the $14 000. Give your answer in its lowest terms. Answer(b)(ii) … [2] (iii) It costs $600 for vets’ fees and the rest of the $14 000 is spent on equipment. Work out how much is spent on equipment. Answer(b)(iii) $ … [2] (c) They later sell the horse for $17 280. Calculate the percentage loss on the $21 600 they paid for the horse. Answer(c) … % [3] (d) Rio invests $5500 for 3 years at a rate of 2.5% per year compound interest. Calculate how much interest he receives after the 3 years. Answer(d) $ … [3] __________________________________________________________________________________________

15 marks

Mark scheme: 2 (a) 4800 M2 for 1 correct value in correct place 7200 3 M1 for 21600 ÷ (2 + 3 + 4) or better 9600 If zero scored SC1 for all correct values in incorrect order (b) (i) 4200 2 M1 for 0.3 × 14000 oe 4 8000 (ii) cao 2 B1 for correct fraction other than 7 14000 (iii) 1200 2 FT M1FT for (14000 – their (b)(i) – 8000 – 600)

This question in 0580/33 Oct/Nov 2015

7 Burton City is a football team. (a) Burton City has 1732 supporters who want to travel to the next game. The football club hires some buses. Each bus seats 52 supporters. (i) Work out the number of buses needed to take these supporters to the game. … [2] (ii) The cost of the buses will be shared equally amongst these supporters. Each bus costs $198 to hire. Work out the amount that each supporter must pay. Give your answer correct to the nearest 10 cents. $ … [3] (b) Adam and Mabel are two supporters. The scale drawing shows the positions of Adam’s home, A, and Mabel’s home, M. The scale is 1 centimetre represents 500 metres. North A North Scale: 1 cm to 500 m M (i) Work out the distance in kilometres from A to M. … km [2] (ii) Burton City’s football ground is on a bearing of 105° from A and on a bearing of 068° from M. Mark the position of the football ground on the scale drawing. [3] (c) Teams are given points for winning or drawing games. A win is given w points and a draw is given d points. No points are given when the team loses. (i) Burton City has 24 points after winning 2 games and drawing 5 games. Complete the equation. 2w + 5d = … [1] (ii) Sowton Rovers is another football team. Sowton Rovers has 29 points after winning 3 games and drawing 4 games. Write this information as an equation. … = … [2] (iii) Solve your two equations to find the number of points for a win and the number of points for a draw. You must show all your working. w = … d = … [4] (iv) Another team, Cranbrook United, has played 12 games. It has won 4 games, drawn 5 games and lost 3 games. Work out the number of points Cranbrook United has after 12 games. … [1]

18 marks

Mark scheme: 1732 7 (a) (i) 34 2 M1 for 52 198 ×their 34 (ii) 3.90 3FT M1FT for 1732 A1FT 3.88 to 3.89 A1FT their answer rounded to nearest 10c (b) (i) 3.9 2 M1 for 7.8 If zero scored SC1 for figs 38 to 40 (ii) football ground indicated in 3 B1 for bearing of 105° from A correct position B1 for bearing of 068° from M B1FT for indication of the football ground’s position, dpt on at least one B1

This question in 0580/32 Feb/March 2016

3 Paul and Mary go on a 14 night cruise in the Mediterranean. (a) The price of the cruise is $237 per person per night. A tax of 6% is added to this price. Find the total amount Paul and Mary pay for this cruise. $ … [3] (b) At a port Mary buys 2 bottles of sun cream. Each bottle costs $7.89 . Work out the change she receives from $20. $ … [2] (c) Paul and Mary leave the ship at 09 23 to tour Pisa. 3 The tour lasts for 6 hours. 4 Find the time when the tour finishes. … [2] (d) The ship leaves at 18 40 to sail to the next port. It sails 270 km at an average speed of 32.4 km/h. Find the time when the ship arrives. … [3] (e) There are 1800 passengers on the ship. They are in the ratio males : females = 5 : 4. Work out the number of male passengers. … [2]

12 marks

Mark scheme: 3 (a) 7034.16 3 M2 for 14 × 237 × 2 × 1.06 oe or M1 for 14 × 237 × 2 oe or 237 × 1.06 oe or 237 × 2 × 1.06 oe or 237 × 1.06 × 14 oe (b) 4.22 2 M1 for 20 – 2 × 7.89 (c) 16 08 or 4 08 pm 2 B1 for 45 min soi (d) 03 00 or 3 am 3 M1 for 270 ÷ 32.4 or 8.33[…] or 8 (h) 20 (min) M1dep for 18 40 + their 8.33 (e) 1000 2 M1 for 18004 + 5 [×5] oe

This question in 0580/31 May/June 2016

8 Jared is building a house. (a) 11.8 m NOT TO SCALE 7.5 m 2.8 m 3.2 m 3.2 m The diagram shows the plan of the floor of the house. (i) Find the area of the floor. … m2 [3] (ii) For every square metre of floor area, it costs $2175 to build the house. Calculate the cost of building the house. Give your answer correct to 3 significant figures. $ … [2] (b) NOT TO SCALE 1.8 m x° 1.75 m The diagram shows a section of the roof. Using trigonometry, calculate the value of x. x = … [2] (c) Jared invests $50 000 for three years at a rate of 2% per year compound interest. Calculate the total amount Jared receives at the end of the three years. $ … [3] (d) Jared also built an apartment for $180 000. He sells it for $198 000. Calculate the percentage profit that he makes. … % [3]

13 marks

Mark scheme: 8 (a) (i) 73.38 3 B1 for 5.4 or 4.7 soi M1 for a completely correct method (ii) 160 000 2FT B1FT for their (a)(i) × 2175 or 159601.5[0] (b) 45.8 or 45.80 to 45.81 2 M1 for tan [ =] 1.8 ÷ 1.75 (c) 53 060.4[0] 3 M2 for 50 000 × 1.023 oe or M1 for two years compound interest eg 50 000 × 1.022 oe implied by 52 020

This question in 0580/31 May/June 2016

1 A wildlife park covers an area of 18 hectares. (a) The 18 hectares is divided between enclosures, paths and buildings in the ratio enclosures : paths : buildings = 11 : 14 : 5. (i) Show that the area for enclosures is 6.6 hectares. [1] (ii) Calculate the area for paths and the area for buildings. Paths … hectares Buildings … hectares [2] 7 (b) Of the 6.6 hectares for enclosures, 11 is for mammals and 30% is for reptiles. Calculate the area for mammals and the area for reptiles. Mammals … hectares Reptiles … hectares [2] (c) The table shows the opening times of the wildlife park. Days Opening times Monday to Friday 09 30 to 17 15 Saturday and Sunday 10 00 to 18 30 (i) Work out how long, in hours and minutes, the wildlife park is open on a Wednesday. … h … min [1] (ii) Calculate the total time, in hours and minutes, that the wildlife park is open in one week. … h … min [2] (d) This table shows the ticket prices for the wildlife park. Adult $11.00 Senior (age 65 and over) $9.25 Child (age 4 to 16) $7.50 Child (age 3 and under) Free Mr Lu visits the wildlife park with his wife, their children (aged 6 and 2) and his parents (both aged 67). (i) Work out the total cost of the tickets for this visit. $ … [2] (ii) Mr Lu has a voucher for the wildlife park that reduces the total cost of the tickets to $42. Calculate the percentage saving. … % [3]

13 marks

Mark scheme: Question Answer Mark Part marks 1 (a) (i) 11 ÷ (11 + 14 + 5) × 18 1 (ii) [paths] 8.4 1 [buildings] 3[.0] 1 (b) [Mammals] 4.2 1 [Reptiles] 1.98 1 (c) (i) 7 [h] 45 [min] 1 (ii) 55 [h] 45 [min] 2FT B1 for 55.75 seen or 38 [h] 45 [min] or 17 [h] soi or M1FT for 5 × their (c)(i) + 2 × 8 [h] 30 [min] or better (d) (i) [$] 48[.00] 2 M1 for 2 × 11 + 2 × 9.25 + 7.50 or better If M0 then SC1 for 55.50 (ii) 12.5 3FT M2 for their ( d )(i ) − 42[×100] or their ( d )(i )  42   100 − ( × 100)   their ( d )(i )  or 42 M1 for or figs 875 their ( d )(i ) or B1 for their (d)(i) – 42 or their 6 seen

This question in 0580/33 May/June 2016

7 (a) Mei is paid $15.25 for each hour she works. (i) Work out how much she is paid when she works for 8 hours. $ … [1] (ii) Mei gets a pay increase. She is paid 8% more for each hour she works. Mei works for 38 hours each week. Work out how much Mei earns each week after the pay increase. $ … [3] (b) Xia works in France. She is paid 425 euros each week. The exchange rate between euros (€) and dollars is €1 = $1.45 . Work out who earns more each week, Mei or Xia, and by how much. Give your answer in dollars. … earns more by $ … [3] (c) Mei invests $500 in a bank at a rate of 3.5% per year compound interest. Calculate the total amount of money she will receive at the end of 3 years. $ … [3]

10 marks

Mark scheme: 7 (a) (i) 122 1 (ii) 625.86 cao 3 M2 for 15.25 × 1.08 × 38 oe soi by 626 or 625.9 or M1 for 15.25 × 1.08 soi by 16.47 or for 15.25 × 38 soi by 579.5 If zero scored, SC1 for 131.76 or 5006.88 (b) Mei 9.61 cao 3 M1 for 425 × 1.45 M1FT for ±(their 625.86 – their 616.25) If zero scored, SC1 for [€] 6.62 to 6.63 (c) 554.36 3 M2 for 500 ×1.0353 oe or M1 for 500 × 1.035k , k ≠ 1, 3 If zero scored, SC1 for answer of 54.36 or 54.35 or 54.4 or 54.358… 54.359

This question in 0580/32 Oct/Nov 2016

1 (a) Juan takes his car to a garage for repairs. Complete his bill. Item Price ($) Service 475.00 3 tyres at $86 each … 4.5 litres of oil at $5.68 per litre … __________________________ Total … [3] (b) Juan buys a van costing $4400. He pays a deposit of $3740. (i) Work out $3740 as a percentage of $4400. … % [1] (ii) He borrows the rest of the money for one year at a rate of 12% per year simple interest. Work out how much he pays back at the end of one year. $ … [3] (c) Juan pays $321 for insurance. He makes 12 equal payments. Work out each payment. $ … [1] (d) Juan’s car travels 12.4 km and uses 1 litre of fuel. His van travels 1 km and uses 0.0792 litres of fuel. Using 1 litre of fuel, which vehicle travels further? Explain how you decide. … travels further because … … [2] (e) In 2015 the total cost of repairs and fuel for his van was $4200. These costs are in the ratio repairs : fuel = 1 : 2. Find the cost of the fuel. $ … [2]

12 marks

Mark scheme: Question Answer Mark Part marks 1 (a) 258[.00] 1 25.56 1 758.56 1FT FT 475 + their two previous answers (b) (i) 85 1 (ii) 739.2[0] 3 M1 for 4400 – 3740 or soi by 660 M1 for their 660 × 1.12 oe (c) 26.75 cao 1 (d) Van and 12.6 > 12.4 oe 2 B1 for 12.6[…] or 0.0806[…] or 0.982[…] or 0.0792 < 0.0806 or 0.982 < 1 (e) 2800 2 M1 for [2×] 4200 ÷ (1 + 2) oe or soi by 1400

This question in 0580/33 Oct/Nov 2016

3 Mrs Singh and Mr Patel are teachers. They take their two classes to the theatre to see a play. (a) (i) Mrs Singh has 20 girls in her class. The ratio of girls : boys = 5 : 3. Show that Mrs Singh has 32 students in her class. [2] (ii) Mr Patel has 40 students in his class. The ratio of girls : boys = 3 : 2. For the 72 students in the two classes, work out the ratio of total number of girls : total number of boys. Give your answer in its simplest form. … : … [4] (b) Ticket price Student $5.75 Teacher $8.25 For every 25 students, one teacher receives a free ticket. Four teachers go to the theatre with the 72 students. Calculate the total cost of the tickets. $ … [3] (c) The play is in three parts. Each part lasts for 45 minutes. There is a 20 minute interval between each part. The first part starts at 13 30. Work out the time that the play ends. … [2] (d) Mr Patel pays $3.60 for a programme. Last year, the price of a programme was $3.20 . Calculate the percentage increase in the price of a programme. … % [3] (e) The probability that a student loses their theatre ticket is 181 . (i) Write down the probability that a student does not lose their ticket. … [1] (ii) Work out how many of the 72 students you would expect to lose their ticket. … [1]

16 marks

Mark scheme: 20 20 203 (a) (i) × ( 5 + 3 ) or × 8 M2 M1 for 5 5 5 (ii) 11 : 7 4 B2 for [girls=]24 and [boys=]16 or B1 for 24 or 16 40 or M1 for 5 B1FT for 44:28 or their24+ 20: their16+ their (32–20) Only FT provided total is 72 before simplifying (b) 430.5[0] 3 M2 for 72 × 5.75 + 2 × 8.25 oe or M1 for 72 × 5.75 or 2 × 8.25 (c) 16 25 or 4.25pm 2 M1 for 45 × 3 + 2 × 20 3.6 − 3.2 (d) 12.5 3 M2 for × [100 ] oe 3.2 3.6 or M1 for 3.6 − 3.2 or [×100] or better 3.2 17 (e) (i) oe 1 18 (ii) 4 1

This question in 0580/32 Feb/March 2017

1 Camilla joins a soccer club. The total cost of joining is made up of membership, kit and travel. (a) The ratio membership : kit : travel = 3 : 5 : 6. The cost of membership is $78. (i) Show that the total cost of joining is $364. [1] (ii) Calculate the cost of the kit and the cost of the travel. Kit = $ … Travel = $ … [3] 10 (b) Camilla’s father pays of the $364. 13 Camilla pays the rest. Calculate how much she pays. $ … [2] (c) Camilla’s brother joins the soccer club. He receives a 12% discount on the $364 because he is younger than Camilla. Calculate the total cost of joining for him. $ … [2] (d) During the year, Camilla’s team played 24 matches. The table gives some information about the results of these matches. Played Won Drawn Lost 24 W 6 L (i) Write down an equation, in terms of W and L, for the number of matches played. … [1] (ii) Points are given when a team wins or draws a match. The points are Match won 3 points Match drawn 1 point Match lost 0 points. The team has a total of 54 points. Write down an equation, in terms of W, for the total points given. … [1] (iii) Work out the value of W and the value of L. W = … L = … [3]

13 marks

Mark scheme: Question Answer Marks Part marks 1(a)(i) 78 ÷ 3 × (3 + 5 + 6) [= 364] 1 1(a)(ii) [kit] 130 3 M1 for 364 ÷ (3 + 5 + 6) × 5 (or × 6 if travel first) [travel] 156 or 78 ÷ 3 × 5 (or × 6 if travel first) A1 for one of kit or travel correct If zero scored, SC1 for kit + travel = 286 1(b) 84 2 M1 for 3 ÷ 13[ × 364] or 364 – (10 ÷ 13 × 364) or B1 for 280 1(c) 320.32 final answer 2 M1 for (100 – 12) ÷ 100 [× 364] or B1 for 43.68 1(d)(i) W + 6 + L = 24 oe 1 1(d)(ii) 3W + 6 = 54 isw 1 1(d)(iii) [W=] 16 2 M1 for 3W = 54 – 6 or W + 2 = 18 or better or correct first step from an equation in W only [L=] 2 1FT FT is 18 – their W If zero scored, SC1 for both correct but reversed

This question in 0580/31 May/June 2017

1 Here is part of the menu in a café. Item Price Tea … $2.40 Coffee … $2.80 Fruit juice … $1.85 Pizza … $4.15 Vegetable pasty ... $3.60 Chicken curry … $5.20 Ice cream … $2.80 Cake … $3.25 Yoghurt … $1.40 (a) Jenna buys 3 coffees and 2 cakes. Work out how much she spends altogether. $ … [3] (b) Find the maximum number of pizzas Harry can buy for $20. Work out the change he receives from a $20 note. Number of pizzas = … Change = $ … [3] (c) Priti’s meal costs $7.60 . She gives the waitress 15% extra for service. Work out the total amount she pays. $ … [2] (d) Elena and Maria are waitresses in the café. One day they receive $96 for service. They share the $96 in the ratio Elena : Maria = 3 : 1. Work out how much Elena receives. $ … [2] (e) The café’s opening hours are shown below. Day Opening hours Monday CLOSED Tuesday 11 00 to 15 00 and 17 00 to 22 00 Wednesday 11 00 to 15 00 and 17 00 to 22 00 Thursday 11 00 to 15 00 and 17 00 to 22 00 Friday 11 00 to 15 00 and 17 00 to 22 00 Saturday 10 30 to 23 00 Sunday 09 30 to 21 00 (i) Find the number of hours the café is open during one week. … hours [2] (ii) During opening hours the café needs 3 people on duty. Each person works 36 hours in a week. Find the number of people the café needs in a week. … [3] (f) The café owner pays rent. The monthly rent is $6.40 for each square metre of floor area. The floor area is 72.5 m2. Calculate the total rent the café owner pays in one year. $ … [3]

18 marks

Mark scheme: Question Answer Mark Part marks 1(a) 14.9[0] 3 M2 for 3 × 2.8[0] + 2 × 3.25 or better or B1 for 8.4[0] or 6.5[0] 1(b) 4 1 3.4[0] 2 M1 for 20 – (their 4 × 4.15) 1(c) 8.74 2 M1 for 7.60 × 1.15 oe 1(d) 72 2 M1 for 96 ÷ 4 [× 3] 1(e)(i) 60 2 B1 for two from 9 or 36, 12.5, 11.5 1(e)(ii) 5 nfww 3 M2 for (their 60 × 3) ÷ 36 or better or M1 for their 60 × 3 or better or their 60 ÷ 36 1(f) 5568 3 M2 for 6.4[0] × 72.5 × 12 or better or M1 for 6.4[0] × 72.5 or 6.4[0] × 12

This question in 0580/32 May/June 2017

3 The McVay family go to the cinema. (a) The cinema has 510 seats. (i) The first 6 rows each have 18 seats. The next 8 rows each have 20 seats. All the other rows each have 22 seats. Work out the total number of rows of seats in the cinema. … [3] (ii) 70% of the 510 seats are occupied. Work out how many seats are occupied. … [1] (b) The McVay family has 2 adults and 2 children. Ticket Prices Adult $7.95 Child $5.95 Family Ticket (2 Adults and 2 Children) $24 Work out how much they save by buying a family ticket rather than a ticket for each person. $ … [2] (c) The film starts at 14 15 and lasts for 116 minutes. Work out the time that the film ends. … [2] (d) Popcorn is sold in tubs. Large Medium Small 135g 100g 70g $3.15 $2.30 $1.60 Work out which tub of popcorn is the best value for money. You must show your working. … [3]

11 marks

Mark scheme: 3(a)(i) 25 3 510 − ( 6 × 18 + 8 × 20 ) M2 for soi 22 or M1 for 6 × 18 + 8 × 20 soi 3(a)(ii) 357 1 3(b) 3.8[0] 2 M1 for 2 × 7.95 + 2 × 5.95 or better 3(c) 16 11 or 4.11 pm 2 M1 for conversion to 1 hour and 56 mins or a complete correct method 3(d) Complete correct method M2 M2 for 2.28… or 2.29, 2.3, 2.33… [c/g] oe or 43.75, 43.47… or 43.48, 42.85… or 42.86 [g/$] oe or M1 for one correct calculation small A1

This question in 0580/33 May/June 2017

7 36 Wegmouth 32 28 Distance (km) 24 20 Tyneland 16 12 8 4 Seatown 0 11 00 11 30 12 00 12 30 13 00 Time The diagram shows the travel graph for a bus travelling between three towns. (a) (i) For how many minutes does the bus stop at Wegmouth? … minutes [1] (ii) Write down the time the bus leaves Wegmouth. … [1] (iii) The speed of the bus from Tyneland to Wegmouth is 96 km/h. Change 96 km/h to metres per second. … m/s [2] (b) On the journey back from Wegmouth, the bus stops for 15 minutes in Tyneland. It then travels at a constant speed of 64 km/h to Seatown. Complete the travel graph. [3] (c) A cyclist leaves Seatown at 11 15 and travels at a constant speed to Wegmouth. She arrives in Wegmouth at 12 30. (i) On the travel graph, draw this journey. [1] (ii) Write down the time when the cyclist meets the bus. … [1] (iii) How far is the cyclist from Wegmouth when she meets the bus? … km [1] (d) Mrs Jones travels on the bus to Wegmouth. The probability that she stands on the bus is 0.4 . (i) Write down the probability that she does not stand on the bus. … [1] (ii) Mrs Jones travels on the bus 85 times. Work out the expected number of times that she stands on the bus. … [1] (e) In one week, a bus driver works five days. On four days he works from 9 am to 5 pm. On one day he works from 3 pm to 10 pm. (i) Find the total number of hours he works in this week. … hours [2] (ii) Each day he is paid $18 per hour before 7 pm. After 7 pm he is paid 25% extra per hour. Calculate how much the bus driver is paid for this week. $ … [3]

17 marks

Mark scheme: 7(a)(i) 20 1 7(a)(ii) 11 55 1 7(a)(iii) 2 2 96 26 or 26.7 or 26.66 to 26.67 M1 for 96 × 1000 or oe 3 3600 or B1 for figs 267 or better 7(b) Ruled horizontal line from 1 (12 20, 16) to (12 35,16) Ruled line from 2 16 M1 for [ × 60 ] (their 12 35, 16) to 64 (their 12 35+15, 0) 7(c)(i) Ruled line from 1 (11 15, 0) to (12 30, 32) 7(c)(ii) 12 09 1FT FT their graph 7(c)(iii) 9 1FT FT their graph 7(d)(i) 0.6 oe 1 7(d)(ii) 34 1 7(e)(i) 39 2 B1 for 32 or 7 and 8 seen 7(e)(ii) 715.5[0] 3 M2 for (their e(i) – 3) × 18 + 3 × 18 × 1.25 oe or M1 for (their e(i) – 3) × 18 or [3] × 18 × 1.25 or [3] × 18 × 0.25 oe

This question in 0580/33 May/June 2017

2 Jeff owns a clothes shop. (a) Shirt Tie Coat $24 $12.50 $46 A customer buys 3 shirts, 5 ties and 1 coat. Calculate the total cost. $ … [3] (b) A jacket has a price of $64. Jeff increases this price by 8%. Calculate the new price. $ … [2] (c) Jeff also increases the price of a dress from $250 to $280. Calculate the percentage increase in the price of the dress. … % [3] (d) The shop has a rectangular floor measuring 5.5 m by 8.5 m. The floor covering costs $12 per square metre. Calculate the cost of the floor covering. $ … [3] (e) Jeff invests $3600 for 3 years at a rate of 6% per year compound interest. Work out the value of the investment at the end of the 3 years. $ … [3]

14 marks

Mark scheme: 2(a) 180.5[0] 3 M2 for 3 × 24 + 5 × 12.50 + 46 oe or M1 for 3 × 24 or 5 × 12.50 or better, soi by 72 or 62.5 2(b) 69.12 2 M1 for 64 × 1.08 oe 2(c) 12 3 M2 for ( 280250 – 1) × 100 or 280250− 250 × 100 oe or M1 for 280250 – 1 or 280250 × 100 or 280250− 250 oe 2(d) 561 3 M1 for 5.5 × 8.5 soi by 46.75 M1 for their 46.75 × 12 2(e) 4287.66 3 M2 for 3600 × (1 + 1006 )3 oe or M1 for 3600 × (1 + 1006 )2 oe soi by 4044.96 If zero scored, SC2 for 687.6576, 687.658, 687.66, 687.65, 687.7, 688 or 690

This question in 0580/31 Oct/Nov 2017

4 Leo, Kim and Priya own a shop. (a) (i) Pens cost $1.45 each. Andre has a $10 note. Find the greatest number of pens that he can buy and how much change he receives. Number of pens = … Change = $ … [3] (ii) The price of a pack of printer paper is $5.60 . In a sale this price is reduced by 15%. Calculate the sale price. $ … [2] (b) Each day, Kim records the number of people who buy a pen. The results for 10 days are shown below. 40 7 19 25 18 19 32 57 12 47 Find the median. … [2] (c) The shop makes a profit of $7000. The profit is shared in the ratio Leo : Kim : Priya = 6 : 3 : 5. Calculate the amount they each receive. Leo = $ … Kim = $ … Priya = $ … [3] (d) Leo changed $1400 into pounds (£). The exchange rate was £1 = $1.54 . Work out how many pounds Leo received. £ … [2] (e) Priya invested $2000 for 3 years at a rate of 2.6% per year compound interest. Calculate the value of her investment at the end of the 3 years. $ … [3]

15 marks

Mark scheme: 4(a)(i) 6 pens and 1.3[0] 3 10 M1 for 1.45 M1 for k × 1.45 where k is an integer 4(a)(ii) 4.76 2 15 M1 for 5.60 × ( 1 − ) oe 100 4(b) 22 2 M1 for ordered list of first 6 or last 6 or B1 for 19 and 25 both identified 4(c) 3000 3 7000 M2 for × k or better, where k is 6 or 3 1500 6 + 3 + 5 2500 or 5 7000 or M1 for or better implied by 500 6 + 3 + 5 If no working M2 implied by one correct answer in correct place If zero scored, M1 for all correct answers in wrong order 4(d) 909.09 or 909.1[0] or 909.0 or 909 2 1400 M1 for 1.54 4(e) 2160.09 or 2160.1[0] or 2160.0 or 3 2.6 M2 for 2000 ( 1 + )3 oe 2160 100 2.6 or M1 for 2000 ( 1 + )2 soi by 2105.35 100

This question in 0580/32 Oct/Nov 2017

5 Nico asked each of 900 students at her school what their favourite subject is. The students only chose Science, Art, Mathematics, History or Geography. The pie chart shows some of this information. Science 18° Art Mathematics (a) Show that 225 students chose Science. [1] (b) Find how many students chose Art. … [2] (c) 125 students chose History and 140 chose Geography. Complete the pie chart to show this information. [2] (d) One of the 900 students is selected at random. (i) Write down the probability that their favourite subject is French. … [1] (ii) Find the probability that their favourite subject is Art. Give your answer as a fraction in its lowest terms. … [2] (e) The total number of students in the school is 2520. Estimate how many students you would expect to choose History as their favourite subject. … [2]

10 marks

Mark scheme: 5(a) 90 1 × 900 [= 225] 360 5(b) 45 2 18 M1 for × 900 oe 360 5(c) Correct pie chart 2 B1 for 56° or 50° soi 5(d)(i) 0 1 5(d)(ii) 1 18 their(b) cao 2 M1 for or oe 20 360 900 5(e) 350 2 125 50 M1 for × 2520 or × 2520 oe 900 360

This question in 0580/32 Oct/Nov 2017

3 Three boys each have $600. (a) Victor spends 40% of his $600. He spends the money in the ratio clothes : books : music = 10 : 2 : 3. (i) Work out how much he spends on music. $ … [3] (ii) Work out how much more he spends on clothes than books. $ … [2] (b) Walter invests his $600 for 3 years at a rate of 4.5% per year compound interest. Calculate the interest Walter receives at the end of the 3 years. $ … [3] (c) Xavier goes on holiday to Europe and changes his $600 into euros (€). He spends €325 whilst he is on holiday. When he gets home he changes the euros he has left back into dollars. The exchange rate is $1 = €0.864 . Work out how many dollars he has left after his holiday. Give your answer correct to the nearest cent. $ … [3]

11 marks

Mark scheme: 3(a)(i) 48 3 B1 for 240 [ their 240 M1 for ][× 3] soi by 16 10 + 2 + 3 3(a)(ii) 128 2 k M1 for × their 240 oe where k = 2, 10 or 8 15 or for their (a)(i) ÷3 ×k oe where k = 2, 10 or 8 3(b) 84.7[0] or 84.69 to 84.7 3 3  4.5  M2 for 600 ×  1 +  oe  100   4.5  2 or M1 for 600 ×  1 +  oe  100  3(c) 223.84 3 600 × 0.864 − 325 M2 for oe or better 0.864 or 325 M1 for 600×0.864 or 0.864

This question in 0580/31 May/June 2018

6 Georgiana is travelling by train from Redtown to Teignley. (a) The price of a ticket is $13.50 . Georgiana’s ticket price is reduced by one-third because she is a student. Work out how much she pays for her ticket. $ … [2] (b) Georgiana travels on two trains. The first train goes from Redtown to Southford. The second train goes from Southford to Teignley. She has written down some information about the times of her trains. First train Redtown departs 13 45 Southford arrives 16 39 Second train Southford departs 17 12 (i) Write 13 45 using the 12-hour clock. … [1] (ii) Work out how long the first train should take to travel from Redtown to Southford. Give your answer in hours and minutes. … h … min [1] (iii) The first train arrives at Southford 46 minutes late. By how many minutes has Georgiana missed her second train? … min [2] (c) While Georgiana waits for the next train, she buys a cup of hot chocolate. NOT TO SCALE Extra large Large Regular $2.85 $2.35 $2.05 500 ml 400 ml 330 ml Work out which cup of hot chocolate is the best value. Show all your working. … [3] (d) The next train from Southford to Teignley is at 18 12. The journey is 76 km and the train travels at an average speed of 48 km/h. Work out the time that the train arrives in Teignley. … [3]

12 marks

Mark scheme: 6(a) 9 2  1  M1 for  1 −  × 13.5 oe  3   1  or for 13.5 −  × 13.5  oe  3  or B1 for 4.5[0] 6(b)(i) 1 45 pm 1 6(b)(ii) 2 [h] 54 [min] 1 6(b)(iii) 13 2 M1 for 16 39 + 46 – 17 12 oe or B1 for 17 25 or 33 seen 6(c) Complete correct method M2 M2 for 0.62... and 0.58… or 0.59 and 0.57 [c/ml] oe or 1.60…or 1.61 and 1.70… and 1.75… [ml/c] oe or M1 for one correct calculation or correct value Extra large A1 6(d) 19 47 3 76 M1 for soi or for 18 12 + their time 48 A1 for 1 [h] 35 [min] or 95 [min] seen

This question in 0580/31 May/June 2018

3 A car company has three sales people, Anna, Mustapha and Joshua. (a) During March, Anna sold 21 cars, Mustapha sold 12 cars and Joshua sold 15 cars. Write down and simplify the ratio of the number of cars they sold during March. Anna : Mustapha : Joshua = … : … : … [2] (b) Each month, they receive a bonus which is proportional to the number of cars they sell. The total bonus in March is $1248. (i) Show that Anna receives a bonus of $546. [1] (ii) Calculate the bonuses received by Mustapha and Joshua. Mustapha $ … Joshua $ … [2] 3 (c) The total bonus of $1248 is of the total profit in March. 7 Calculate the total profit in March. $ … [2] (d) Ella wants to buy a car with a price of $13 500. The company reduces this price by 16%. Ella then pays a deposit of $500. Show that the amount left for her to pay is $10 840. [2] (e) Ella borrows $10 840 from a bank. She pays this back over 3 years at a rate of $340 per month. (i) Show that the total amount she pays back during the 3 years is $12 240. [1] (ii) Calculate the percentage increase from $10 840 to $12 240. … % [3]

13 marks

Mark scheme: 3(a) 7 : 4 : 5 2 B1 for any correct ratio other than 21 : 12 : 15, not in simplest form 3(b)(i) 7 B1 oe × 1248 16 3(b)(ii) [Mustapha] 312 2 B1 for each [Joshua] 390 or 1248 M1 for × k where k = 12 or 15 21 + 12 + 15 1248 or × k oe where their 7 + their 4 + their 5 k = their 4 or their 5 3(c) 2912 2 M1 for 1248 ÷ 3 [× 7] 3(d) 13 500 – 0.16 × 13 500 − 500 M2 M1 for 0.16 × 13 500 or 0.84 × 13 500 seen or 0.84 × 13 500 − 500 3(e)(i) 3 × 12 × 340 B1 3(e)(ii) 12.9 or 12.91 to 12.92 3 12240 − 10840 M2 for [× 100 ] 10840 12240 or × 100 [ − 100 ] or 10840  12240   − 1  [× 100 ]  10840  12240 or M1 for 12240 – 10840 or oe 10840

This question in 0580/32 May/June 2018

3 (a) A museum’s opening times are shown in this table. Day Opening times Monday to Thursday 09 00 to 17 00 Friday 08 30 to 18 00 Saturday 09 00 to 19 00 Sunday Closed Work out how many hours in a week the museum is open for. … hours [3] (b) The table shows the cost of tickets for the museum. Cost Adult $4.20 Senior (aged over 60) $2.80 Child (aged 5 to 15 ) $1.80 Child (aged under 5) Free The Reeve family visit the museum. Mrs Reeve is aged 36, her father is 67, her mother is 65, and her three children are 2, 7 and 12. Work out the total cost for these six people to visit the museum. $ … [3] (c) Mrs Reeve buys 6 ice creams. Each ice cream costs $1.30 . How much change does she receive from $10? $ … [2] (d) Last year, the museum had twenty seven thousand and fifty three visitors. Write this number in figures. … [1] (e) In 2015, there were 12 400 visitors to the museum. In 2016, there were 14 100 visitors to the museum. Calculate the percentage increase in the number of visitors from 2015 to 2016. … % [3] (f) The door to the museum has an 8-digit code to unlock it. • The next odd number after 35 gives digits 1 and 2. • The next prime number after 23 gives digits 3 and 4. • The square root of 225 gives digits 5 and 6. • The value of 26 gives digits 7 and 8. Use this information to complete the door code. Digits 1 and 2 have been completed for you. Digit 1 2 3 4 5 6 7 8 Code 3 7 [3]

15 marks

Mark scheme: 3(a) 51.5 3 M2 for 4 × 8 + 9.5 + 10 oe or B1 for two from 8 or 32, 9.5 and 10 3(b) 13.4[0] 3 M2 for 4.2[0] + 2 × 2.8[0] + 2 × 1.8[0] oe or M1 for two correct categories 3(c) 2.2[0] 2 M1 for 6 × 1.3[0] implied by 7.8[0] 3(d) 27 053 1 3(e) 13.7 or 13.70 to 13.71 3 14100 − 12400 M2 for [ × 100] or 12400 14100  14100  × 100 [–100] or  − 1  [× 100] 12400  12400  14100 or M1 for 14100 – 12400 or oe 12400 3(f) 2 9 1 5 6 4 3 B1 for each pair of 29, 15 and 64

This question in 0580/33 May/June 2018

1 Lena owns a café. (a) One day, Lena records the drinks she sells in one hour. Tea Tea Coffee Juice Milkshake Milkshake Coffee Coffee Milkshake Coffee Tea Juice Tea Coffee Tea Juice Milkshake Tea Milkshake Tea Coffee Tea Milkshake Coffee (i) Complete the frequency table. You may use the tally column to help you. Drink Tally Frequency Coffee Juice Milkshake Tea Total 24 [2] (ii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency 0 Coffee Juice Milkshake Tea [3] (b) This table shows the opening hours of the café. Day Opening hours Monday to Thursday 08 30 to 17 00 Friday and Saturday 08 30 to 19 00 Sunday 09 00 to 18 00 (i) Work out the total number of hours the café is open in one week. … hours [2] (ii) Lena is in the café for 40 hours each week. Ron is in the café when Lena is not there. Calculate the percentage of the total opening hours that Ron is in the café each week. … % [2] (c) Saddak buys 3 cups of tea and 2 cookies for $6.95 . A cup of tea costs $1.75 . Work out the cost of one cookie. $ … [2] (d) The price of a cake is $2.60 . At the end of the day, Lena reduces the price of each cake by 35%. Calculate the reduced price of a cake. $ … [2]

13 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 7, 3, 6, 8 2 B1 for 3 correct in frequency column or for 2 correct if they all sum to 24 or for all correct tallies if frequency column blank or for 7, 3, 6, 8 seen in tally column with frequency column blank or incorrect. 1(a)(ii) Correct bar chart with scaled 3 B1 for correctly scaled frequency axis frequency axis B1FT all heights correct B1 equal width bars and gaps 1(b)(i) 64 2 B1 for two from 8.5, 10.5 and 9 soi 1(b)(ii) 37.5 2 their ( b )( i ) − 40 M1 for oe their ( b )( i ) If 0 scored, SC1 for answer 62.5 1(c) [0].85 2 M1 for 6.95 – 3 × 1.75 oe 1(d) 1.69 2  35  M1 for 2.6 ×  1 −  oe  100 

This question in 0580/31 Oct/Nov 2018

7 Nora makes a birthday cake. (a) Nora has a packet containing 250 g of cherries. 7 She uses of the cherries in the cake. 10 Find the mass of cherries she has left. … g [2] (b) The cake is made by putting a small cylinder of cake on top of a large cylinder of cake. The radius of the large cylinder is 15 cm. 8 cm The radius of the small cylinder is 8 cm. The height of each cylinder is 10 cm. NOT TO 10 cm SCALE 10 cm 15 cm (i) Calculate the total volume of the cake. … cm3 [3] (ii) Nora wraps a ribbon around the large cylinder. The ribbon is 4 cm longer than needed to go all the way around this cylinder. Calculate the length of this ribbon. … cm [3] (c) The mass, m grams, of the cake is 1250 g, correct to the nearest 10 g. Complete this statement about the value of m. … G m 1 … [2]

10 marks

Mark scheme: 7(a) 75 2 7  M1 for − 1  × 250 oe  10  or B1 for answer 175 7(b)(i) 9080 or 9079 to 9081 3 M2 for π × 82 × 10 + π × 152 × 10 soi or M1 for π × 8 2 [× 10 or × 20 ] soi or π × 15 2 [× 10 or × 20 ] soi 7(b)(ii) 98.2 or 98.3 3 M1 for 2 × π × 15 soi or 98.24 to 98.26 M1 for their circumference + 4 7(c) 1245, 1255 2 B1 for one correct or both values correct but reversed

This question in 0580/31 Oct/Nov 2018

1 Three people pick strawberries. The strawberries are sold in boxes. (a) (i) On Wednesday, they pick a total of 89 kg of strawberries. The mean mass of each strawberry is 22 g. Work out the number of strawberries they picked. Give your answer correct to the nearest 10. … [3] (ii) On Thursday, they pick a total of 4650 strawberries. They fill each box with 35 strawberries. How many boxes do they fill? … [2] (b) On Saturday, they sell 208 boxes of strawberries at $3.25 for each box. Work out how much money they receive. $ … [1] (c) On Monday, they receive $390 for their boxes of strawberries. They share this money in the ratio Alison : Bob : Jenny = 7 : 3 : 2. Work out how much money they each receive. Alison $ … Bob $ … Jenny $ … [3] (d) In 2016, they picked a total of 3500 kg of strawberries. In 2017, they picked a total of 3080 kg of strawberries. Work out the percentage decrease in the mass of strawberries they picked from 2016 to 2017. … % [3] (e) An open box in the shape of a cuboid is 7 cm long, 5 cm wide and 4 cm high. Complete the net of the box. The base of the box has been drawn for you. [2]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 4050 3 figs 89 M1 for figs 22 5 A1 for 4045[. …] or 4045 11 B1 for their answer seen (but not a multiple of 10) correctly rounded to the nearest ten, provided does not round to zero 1(a)(ii) 132 2 M1 for 4650 ÷ 35 1(b) 676[.00] 1 1(c) 227.5[0] 3 M2 for 390 ÷ (7 + 3 + 2) × k or better where 97.5[0] k is 7, 3 or 2 65[.00] or M1 for 390 ÷ (7 + 3 + 2) or better, implied by 32.5[0] 1(d) 12 3 3500 − 3080 M2 for [× 100] or 3500 3080 3080 (1 − ) [× 100] or [100 −] × 100 3500 3500 3080 or M1 for or 3500 – 3080 3500 1(e) Fully correct net 2 B1 for at least two correct faces drawn in the correct place

This question in 0580/32 Oct/Nov 2018

2 (a) The bar chart shows the number of different films shown at a cinema in each of four months. 9 8 7 6 Number of films 5 4 3 2 1 0 Jan Feb Mar Apr May June Month (i) In May, 6 films were shown and in June, 4 films were shown. Complete the bar chart. [1] (ii) How many more films were shown in March than were shown in January? … [1] (b) The cinema is open from 13 30 to 23 15 every day. Work out how long the cinema is open in one week. Give your answer in hours and minutes. … h … min [3] (c) One Monday afternoon, the cinema sells 24 adult tickets, 16 child tickets and 8 senior tickets. Work out the total amount of money received for these tickets. Ticket prices Adult $10.50 Child $ 6.25 Senior $ 9.00 $ … [3] (d) One Tuesday, there are 24 children out of the 80 people in the cinema. Find the percentage of these people that are children. … % [1] (e) (i) A film lasts for 85 minutes. It starts at 19 40. Find the time when the film ends. … [1] (ii) Another film lasts for 2 hours 45 minutes. It finishes 10 minutes before the closing time of 23 15. Find the time that it starts. … [2] (f) In the cinema café, Harry buys a cup of tea for $1.85 and a cake for $1.70 . Work out the change he receives from a $5 note. $ … [2] (g) In the café, the fridge has a temperature of 4 °C and the freezer has a temperature of −17 °C. (i) Work out the difference in these temperatures. … °C [1] (ii) The temperature in the freezer rises by 3 °C. Work out the new temperature in the freezer. … °C [1]

16 marks

Mark scheme: 2(a)(i) Two correct bars 1 2(a)(ii) 3 1 2(b) 68 [h] 15 [min] 3 3 B1 for 9 [h] 45 [m] or 9 or 9.75 or 585 seen 4 3 M1 for their (9 [h] 45 [m], 9 , 9.75 or 585) × 7 4 soi 2(c) 424 3 M2 for 24 × 10.5 + 16 × 6.25 + 8 × 9 soi or M1 for two of 24 × 10.5, 16 × 6.25, 8 × 9 2(d) 30 1 2(e)(i) 21 05 or 9.05 pm 1 2(e)(ii) 20 20 or 8.20 pm 2 M1 for 23 15 [− (10 min)] − (2 h 45 m) soi by 20 30 2(f) 1.45 2 M1 for [5 −] (1.85 + 1.70) or 3.55 2(g)(i) 21 1 2(g)(ii) –14 1

This question in 0580/32 Oct/Nov 2018

5 (a) Stef buys 3.5 kilograms of bananas. (i) Bananas cost $1.24 per kilogram. Stef pays with a $5 note. Work out how much change she receives. $ … [2] (ii) Write 3.5 kilograms in grams. … g [1] (b) Oranges cost 85 cents each. Leo has a $10 note. Work out the maximum number of oranges he can buy. … [2] (c) 87% of the mass of a pineapple is water. A pineapple has a mass of 700 g. Work out the mass of water in this pineapple. … g [2] (d) The number of melons sold in a shop each day for 7 days is shown below. 18 5 23 40 28 19 17 Work out the mean number of melons sold. … [2] (e) Rio and Chi go to a fruit shop. Rio buys 4 apples and 2 plums for $1.96 . Chi buys 7 apples and 3 plums for $3.24 . Write down a pair of simultaneous equations and solve them to find the cost of 1 apple and the cost of 1 plum. You must show all your working. Apple $ … Plum $ … [6]

15 marks

Mark scheme: 5(a)(i) [0].66 2 M1 for 1.24 × 3.5 5(a)(ii) 3500 1 5(b) 11 2 M1 for 10 ÷ [0].85 oe soi by 11.7[6]... 5(c) 609 2 M1 for [0].87 × 700 oe 5(d) 21.4 or 21.42 to 21.43 2 18 + 5 + 23 + 40 + 28 + 19 + 17 M1 for 7 or 150 ÷ 7 5(e) 2 correct simultaneous equations B2 Allow equations working in cents or e.g. dollars 4a + 2p = 1.96 and 7a + 3p = 3.24 B1 for one correct equation Correctly equating one set of coefficients M1 FT their equations Correct method to eliminate one variable M1 FT their equations Dependent on the coefficients being the same for one of the variables. Correct consistent use of addition or subtraction using their equations [apple =] 0.3[0] A1 [plum =] 0.38 A1 If M0M0 scored SC1 for 2 correct answers given or SC1 for 2 values satisfying one of their two original equations.

This question in 0580/33 Oct/Nov 2018

1 (a) 60 boys are asked to name their favourite sport. The results are shown in the pie chart. Judo Hockey 30° 48° Tennis Running 90° 72° 120° Swimming (i) Write down the most popular sport. … [1] (ii) Write down the fraction of boys who choose Running. … [1] (iii) Work out how many boys choose Judo. … [2] (iv) One of the boys is chosen at random. Work out the probability that his favourite sport is not Judo. … [1] (v) Complete this statement. Three times as many boys choose … than choose … [1] (b) Two of the boys in part (a) then change their choice from Running to Swimming. Complete the pie chart after this change. The Tennis, Judo and Hockey sectors have been drawn for you. Judo Hockey 30° 48° Tennis 90° [2] (c) 60 girls are asked to name their favourite sport. Their results are shown in the bar chart below. 20 16 Number 12 of girls 8 4 0 Hockey Running Swimming Tennis Judo Using your pie chart in part (b) and the bar chart above, write down one similarity and one difference between the girls’ results and the boys’ results. Similarity … Difference … [2]

10 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Swimming 1 1(a)(ii) 72 1 oe 360 1(a)(iii) 5 cao 2 30 60 M1 for [× 60 ] or [× 30 ] 360 360 360 or for soi by 6 60 1(a)(iv) 55 1 60 − their (a)(iii) oe FT oe 60 60 1(a)(v) Tennis, Judo 1 1(b) 2 sectors drawn: 2 M1 for use of 12° implied by 60° or 132° Running 60° seen or for 10 [boys] or 22 [boys] seen Swimming 132° 1(c) A valid correct similarity and 2 B1 for each difference

This question in 0580/32 Feb/March 2019

3 (a) Maia shares $3000 between her three children. She gives the eldest child $1200, the second eldest child $1000 and the rest to the youngest child. Write this information as a ratio in its simplest form. … : … : … [2] eldest youngest (b) Yani’s house is for sale. She decides to reduce the selling price of $240 000 by 15%. Calculate the new selling price. $ … [2] (c) Hawa invests $750 at a rate of 3.5% per year compound interest. Calculate the value of his investment at the end of 3 years. $ … [3]

7 marks

Mark scheme: 3(a) 6 : 5 : 4 2 M1 for 1200 : 1000 : 800 or better 3(b) 204 000 2  15  M1 for 240000 ×  1 −  oe  100  3(c) 832 or 831.5 or 831.53 or 831.54 or 3 3  3.5  831.538… M2 for 750×  1 +  oe  100   3.5  2 or M1 for 750×  1 +  oe  100 

This question in 0580/32 Feb/March 2019

4 A car park has 880 parking spaces. (a) Some of the spaces are reserved. The ratio of reserved spaces : not reserved spaces = 1 : 10. Work out the number of spaces that are not reserved. … [2] (b) 25% of the 880 spaces are on the top floor. Work out the number of spaces that are on the top floor. … [1] (c) At 06 00 one morning, 401 of the 880 spaces are filled. By 06 30, no cars have left the car park but another 15 of the 880 spaces are filled. Work out the fraction of the 880 spaces that are empty at 06 30. … [3] (d) The cost of each visit to the car park is shown in the table. Length of visit Cost ($) Up to 20 minutes Free More than 20 minutes and up to 2 hours 2.50 More than 2 hours and up to 4 hours 4.50 More than 4 hours and up to 8 hours 8.50 More than 8 hours and up to 24 hours 12.00 (i) Samarth arrives at 11 40 and leaves at 15 30. Find the cost of his visit. $ … [1] (ii) Radhika leaves the car park at 17 50 and pays $8.50 . (a) Work out the earliest time she could have arrived at the car park. … [1] (b) Work out the change she receives from a $20 note. $ … [1] (iii) Dhruv bought a weekly car park ticket for $26. That week, he visited the car park four times. These are the lengths of time he parked his car for. 17 minutes 6 12 hours 11 hours 9 14 hours Work out how much he saved by buying a weekly ticket. $ … [3]

12 marks

Mark scheme: 4(a) 800 2 10 880 M1 for [× 880 ] or [× 10 ] oe 10 + 1 10 + 1 4(b) 220 1 4(c) 31 3  1 1  or equivalent fraction M2 for 1 −  +  oe 40  40 5  1 1 or M1 for + oe 40 5 OR B2 for 682 1 or M1 for × 880 soi by 22 40 1 or × 880 soi by 176 5 4(d)(i) 4.5[0] 1 4(d)(ii)(a) 09 50 1 4(d)(ii)(b) 11.5[0] 1 4(d)(iii) 6.5[0] 3 B2 for 32.5 or M2 for ([0] + 8.5 + 12 + 12) – 26 or M1 for [0] + 8.5 + 12 + 12

This question in 0580/32 Feb/March 2019

3 Mr Lester has a fruit and vegetable shop. (a) Apples cost 32 cents each. Suki buys 6 apples. Work out the change Mr Lester gives Suki when she pays with a $10 note. $ … [2] (b) Green grapes cost $3.10 per kilogram. Red grapes cost $2.80 per kilogram. Work out the total cost of buying 0.6 kg of green grapes and 34 kg of red grapes. $ … [3] (c) George spends $12 on fruit each week. The total amount he spends on food is $75. Work out the percentage of the $75 he spends on fruit. … % [1] (d) Mr Lester buys pineapples for $1.50 each. He makes 60% profit when he sells them. Work out the selling price of a pineapple. $ … [2] (e) The table shows the number of bananas bought by the last 50 customers. Number of Frequency bananas bought 0 14 1 0 2 2 3 5 4 11 5 8 6 10 (i) Find the range. … [1] (ii) Work out the median. … [1] (iii) Calculate the mean. … [3]

13 marks

Mark scheme: 3(a) 8.08 2 B1 for 192 or 1.92 or 808 or M1 for 10 −×6 0.32 or 1000 −×6 32 3(b) 3.96 3 3 M2 for 0.6 × 3.1 + 2.8 × oe 4 3 or M1 for 0.6 × 3.1 oe or 2.8 × oe 4 3(c) 16 1 3(d) 2.4[0] 2 60 M1 for [1.5 +] 1.5 × oe 100 3(e)(i) 6 1 3(e)(ii) 4 1 3(e)(iii) 3.26 3 M1 for ∑ fx M1 dep for ∑ fx ÷ 50

This question in 0580/32 May/June 2019

1 (a) Write this number in figures. One million three hundred and two thousand five hundred and ninety-six. … [1] (b) (i) Two numbers are added together to give the number in the box immediately above. 2 5 – 3 – 4 Complete the diagram. [2] (ii) Two numbers are multiplied together to give the number in the box immediately above. 5 – 3 – 4 Complete the diagram. [3] (c) Write these in order of size, starting with the smallest. 5 -1 18.4% .183 # 10 5-1 27 … 1 … 1 … 1 … [2] smallest (d) Work out 142 as a percentage of 304. … % [1] (e) (i) Find the highest common factor (HCF) of 28 and 98. … [2] (ii) Find the lowest common multiple (LCM) of 28 and 98. … [2] (f) The average distance from Earth to Mars is .225 # 108 km. A space ship travels from Earth to Mars at an average speed of .58 # 104 km/h. Find how long, in hours, the journey takes. … hours [2]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 1 302 596 1 1(b)(i) −5 2 B1 for −7 −7 B1FT for 2 + their −7 1(b)(ii) −180 3 B1 for −15 −15 12 B1 for 12 and B1FT for their −15 × their 12 1(c) 5 2 M1 for 3 in correct order or for 1.83 × 10−1 18.4% 5−1 27 5 three of [ =]0.185 … , [18.4% =] 0.184, 27 [1.83 × 10−1 =] 0.183, [5−1=] 0.2 1(d) 46.7 or 46.71... 1 1(e)(i) 14 2 B1 for answer of 2 or 7 or 2 × 7 or 2 × 2 × 7 and 2 × 7 × 7 or list (28 =) 2, 2, 7 and (98 =)2, 7, 7 1(e)(ii) 196 2 B1 for 28, 56, 84, 112,… and 98, 196 or [1 ×]2 × 2 × 7 × 7 or 196k 1(f) 3880 or 3879[⋅…] 2 M1 for 2.25 × 108 ÷ 5.8 × 104 oe or 3.88(0...) × 103 or 3.879… × 103 or figs (388 or 3879…) as the answer

This question in 0580/33 May/June 2019

7 (a) Soraya makes rectangular flags. (i) On the rectangle, draw the lines of symmetry. [2] (ii) Each flag measures 1.2 m by 1.8 m. Calculate the area of one flag. … m2 [2] (b) Each flag costs $15 to make. Soraya sells one flag for $21. Calculate the percentage profit. … % [3] (c) Soraya makes 30 flags. 11 flags are pink, 7 are yellow, 5 are blue, 4 are silver and 3 are green. Soraya takes a flag at random. Find the probability that the flag she takes is (i) pink, … [1] (ii) not blue, … [1] (iii) red. … [1] (d) Soraya decides to make a mathematically similar flag. 1.8 m 2.4 m 1.2 m h NOT TO SCALE Calculate the height, h, of the new flag. h = … m [2] (e) NOT TO 25 m SCALE 8 m The diagram shows a flagpole in Soraya’s garden. The flagpole has height 25 m. A rope from the top of the flagpole is tied to the ground 8 m from its base. Calculate the length of this rope. … m [2]

14 marks

Mark scheme: 7(a)(i) Two correct lines drawn 2 B1 for one correct, no extras or two correct and one extra 7(a)(ii) 2.16 2 M1 for 1.2 × 1.8 7(b) 40 3 21 − 15 M2 for [× 100] or 15  21   − 1  [×100]  15  21 or × 100 [−100] oe 15 21 or M1 for or 21−15 15 7(c)(i) 11 1 oe 30 7(c)(ii) 25 1 oe 30 7(c)(iii) 0 1 7(d) 1.6 2 2.4 1.8 1.8 1.2 M1 for or or or soi 1.8 2.4 1.2 1.8 7(e) 26.2 or 26.24 to 26.25 2 M1 for 252 + 82 or better

This question in 0580/31 Oct/Nov 2019

8 (a) The scale drawing shows the positions of two buoys, A and B, in the sea. The scale is 1 centimetre represents 20 kilometres. North North B Land A Sea Scale : 1 cm to 20 km Land (i) Work out the actual distance between buoy A and buoy B. … km [2] (ii) Measure the bearing of buoy B from buoy A. … [1] (iii) Buoy C is 120 km from buoy B on a bearing of 300°. On the scale drawing, mark the position of buoy C. [2] (iv) Marco sails his boat so that he is always equidistant from buoy A and buoy B. On the scale drawing, use a straight edge and compasses only to construct the path of the boat. Show all your construction arcs. [2] (b) The amount of fuel, t litres, in the boat’s fuel tank is 135 litres, correct to the nearest litre. Complete the statement about the value of t. … G t 1 … [2] (c) Marco has ropes of four different colours. He takes a rope at random. Colour Brown White Red Green Probability 0.35 0.04 0.2 Complete the table. [2] (d) When Marco arrives at a port the temperature is 5 °C. At midnight the temperature has fallen by 7 °C. Find the temperature at midnight. … °C [1] (e) Last year the cost to keep a boat at the port was $14 per night. This year the cost has increased by 12%. Calculate the cost this year. $ … [2] (f) Marco watched 25 boats enter the port, of which 9 had a mast. There are a total of 200 boats in the port. Calculate an estimate of the number of boats in the port that have a mast. … [2] Question 9 is printed on the next page.

16 marks

Mark scheme: 8(a)(i) 220 2 M1 for 11 8(a)(ii) [0]80° 1 8(a)(iii) C in correct position 2 B1 for correct distance of 6 cm or bearing of 300° from B 8(a)(iv) Correct line drawn with 2 pairs of 2 B1 for correct line with no or incorrect arcs correct arcs or correct arcs but no line 8(b) 134.5, 135.5 2 B1 for one correct or both correct but reversed 8(c) 0.41 2 M1 for 1 – (0.35 + 0.04 + 0.2) 8(d) –2 1 8(e) 15.68 cao 2 12 M1 for (1+ ) ×14 oe 100 8(f) 72 2 9 M1 for × 200 oe 25

This question in 0580/31 Oct/Nov 2019

1 Nadira owns a clothes shop. (a) The pictogram shows the number of skirts that were sold each day in one week. Day Number of skirts Monday Tuesday Wednesday Thursday Friday Saturday Key: = 10 skirts (i) On which day were most skirts sold? … [1] (ii) How many skirts were sold on Wednesday? … [1] (iii) Work out how many more skirts were sold on Friday than on Thursday. … [1] (b) The shop is open for 6 days each week. On each day, the shop is open from 09 30 until 13 00 and from 14 15 until 20 30. Work out the total number of hours the shop is open in one week. … hours [2] (c) Nadira pays 6 people to work in the shop. In one week • 4 people each work for 38 hours • 2 people each work for 25 hours. They are each paid $11.40 for each hour they work. Calculate the total amount Nadira pays these 6 people in one week. $ … [2] (d) Nadira has some T-shirts that are either white or blue or green. The numbers of T-shirts are in the ratio white : blue : green = 5 : 4 : 1. 48 of the T-shirts are blue. Work out the total number of T-shirts. … [3] (e) Nadira buys a pack of 40 dresses and pays $500. She sells 35 of these dresses for $22 each. She sells the remaining 5 dresses for $14.50 each. Calculate the percentage profit she makes when she sells all 40 dresses. … % [4]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Friday 1 1(a)(ii) 25 1 1(a)(iii) 15 1 1(b) 58.5 2 B1 for 21 [hours] or 37.5 [hours] or 9.75 [hours] soi  1 1  or M1 for 6  3 + 6  oe  2 4  1(c) 2302.8[0] final answer 2 M1 for (4 × 38 + 2 × 25) × 11.40 oe 1(d) 120 3 48 M2 for × (5 + 4 + )1 oe 4 48 or M1 for soi by 12 4 1(e) 68.5 4 M1 for 35 × 22 + 5 × 14.5 oe their 842.50 − 500 M2 for [× 100] 500  their 842.50  or  − 1  [× 100]  500  their 842.50 or × 100 [ −100] 500 their 842.50 or M1 for or 500 their 842.50 −500

This question in 0580/32 Oct/Nov 2019

4 (a) 50 students each record the number of glasses of water they drink in one day. The results for 10 of the students are shown below. 2 5 1 3 2 1 0 0 1 1 (i) The results for the remaining 40 students are recorded in the table. Complete the table to show the results for all 50 students. Number of glasses of water Tally Frequency 0 | | | | | 1 | | 2 | | | | | | | 3 | | | | | | | | | 4 | | | | | | | 5 | | | | Total 50 [2] (ii) Write down the range. … [1] (iii) Find the median. … [2] (iv) Find the percentage of the 50 students who drink 4 glasses of water. … % [1] (v) One of the 50 students is chosen at random. Find the probability that this student drinks fewer than 2 glasses of water in one day. Give your answer as a fraction in its lowest terms. … [2] (b) Musa has a glass that holds 250 ml of water. He drinks 5 of these glasses of water. He fills his glass from a 2-litre bottle of water. Work out how much water is left in the bottle. Give your answer in millilitres. … ml [2] (c) The amount of water, w litres, in a jug is 1.5 litres, correct to the nearest 0.1 litre. Complete this statement about the value of w. … G w 1 … [2] (d) NOT TO 15 cm SCALE 7 cm Another glass is in the shape of a cylinder. The cylinder has height 15 cm and diameter 7 cm. Calculate the volume of the glass. … cm3 [3]

15 marks

Mark scheme: 4(a)(i) Table completed correctly 2 B1 for tallies correct or frequencies correct 0 ̸ ̸ ̸ 8 If 0 scored, SC1 for correct frequency for 1 ̸ ̸ 6 their tallies 2 ̸ ̸ ̸ ̸ 10 3 ̸ ̸ ̸ ̸ ̸ 12 4 ̸ ̸ ̸ 8 5 ̸ ̸ 6 4(a)(ii) 5 1 4(a)(iii) 3 2 B1 for 25[th] and 26[th] seen or these values identified 4(a)(iv) 16 1 FT their table (their 8 × 2) 4(a)(v) 7 2 their 8 + their 6 final answer B1FT for oe seen 25 50 4(b) 750 2 B1 for 0.75[litres] 2000 [ml] or 0.25 [litres] or 1250 [ml] or 1.25 [litres] soi 4(c) 1.45 , 1.55 2 B1 for one value correct or for both values correct but reversed 4(d) 577 or 577.2 to 577.3… 3 2  7  M2 for π ×   × 15  2   7  2 or M1 for π ×    2  If 0 scored, SC1 for π × 72 × 15

This question in 0580/32 Oct/Nov 2019

4 (a) A plane leaves Karachi at 15 30 to fly to Bangkok. The distance is 3840 km. The plane flies at an average speed of 720 km/h. The local time in Bangkok is 2 hours ahead of the local time in Karachi. Find the local time in Bangkok when the plane arrives. … [4] (b) In Bangkok a watch costs 2610 baht. The exchange rate is $1 = 34.8 baht. Find the cost of the watch in dollars. $ … [2] (c) The price of another watch increases from $18 to $19.17 . Find the percentage increase in the price of this watch. … % [3] (d) Raoul makes a profit when he sells his watch for $36. The ratio of the price Raoul paid for the watch and the profit he makes is price paid : profit = 7 : 2. Work out the profit that Raoul makes. $ … [2]

11 marks

Mark scheme: 4(a) 22 50 4 M1 for 3840 ÷ 720 A1 for 5[h] 20[m] M1dep for 15 30 + their 5[h] 20[m] [+2] or 17 30 + their 5[h] 20[m] 4(b) 75 2 M1 for 2610 ÷ 34.8 4(c) 6.5 3 19.17 − 18 M2 for [× 100] oe 18  19.17  or  − 1  [× 100] oe  18  19.17 or × 100 [– 100] oe 18 19.17 or M1 for or 19.17 – 18 18 4(d) 8 2 36 M1 for 2 + 7

This question in 0580/33 Oct/Nov 2019

1 Navja works in a post office. (a) The table shows the costs of sending parcels by post. The cost depends on the mass, m grams, of the parcel. Type of parcel Mass (g) Cost ($) Small 0 1 m G 60 0.76 Medium 60 1 m G 100 0.95 Large 100 1 m G 250 2.20 Extra large 250 1 m G 1000 5.60 (i) Sai sends each of these four parcels by post. 875 g 250 g 55 g 0.3 kg He pays with a $20 note. Work out how much change he receives. $ … [4] (ii) On 1 April, the cost of sending any parcel increases by 5%. (a) Show that the increase in the cost of sending an Extra large parcel is $0.28 . [1] (b) Avani says “As the cost of an Extra large parcel increases by $0.28 then the cost of a Large parcel will also increase by $0.28 to $2.48.” Explain why Avani is incorrect. … … [1] (b) (i) Navja weighs a parcel with mass w kg on her scales. She uses the masses shown to balance the scales. 5 g 2 kg w kg 10 g 20 g Work out the value of w. w = … [3] (ii) Sometimes Navja uses an electronic weighing machine. The machine gives the mass, p kg, of a parcel as 12.4 kg, correct to the nearest 100 g. Complete this statement about the value of p. … G p 1 … [2]

11 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 5.84 4 B1 for [0].76, 5.6[0], 5.6[0], 2.2[0] M1 for their 4 costs added together M1 dep on M1 for 20 −(their (0.76 + 2.2 + 5.6 + 5.6)) soi 1(a)(ii)(a) 5 1 × 5.60 100 1(a)(ii)(b) Correct explanation 1 1(b)(i) 1.965 3 M1 for figs 2 = w + figs(0.005 + 0.01 + 0.02) oe and B1 for correct conversion of 2 kg = 2000 g or for 5 g,10 g and 20 g or 35 g correctly converted to kg 1(b)(ii) 12.35 12.45 2 B1 for each or B1 for both correct but reversed

This question in 0580/32 Feb/March 2020

3 Belle records the height, in centimetres, and the mass, in kilograms, of some goats. Some of her results are shown in the scatter diagram. 36 35 34 Mass (kg) 33 32 31 30 20 25 30 35 40 Height (cm) (a) The table shows four more results. Height (cm) 23 30 36 38 Mass (kg) 31.2 33.5 34.6 34.8 Plot these points on the scatter diagram. [2] (b) What type of correlation is shown in this scatter diagram? … [1] (c) (i) Draw a line of best fit on the scatter diagram. [1] (ii) Use your line of best fit to estimate the height of a goat with mass 32.5 kg. … cm [1] (d) Work out the percentage of the 12 goats that have a height between 26 cm and 35 cm. … % [3]

8 marks

Mark scheme: 3(a) 4 points correctly plotted 2 B1 for 2 or 3 points correctly plotted 3(b) Positive 1 3(c)(i) Ruled line of best fit 1 3(c)(ii) 25 to 27 1 FT their ruled line with positive gradient 3(d) 41.7 or 41.66 to 41.67 3 5 M2 for × 100 12 their 5 or M1 for × 100 12 or B1 for 5

This question in 0580/32 May/June 2020

4 Alexa, Ben and Chloe own a restaurant. (a) Alexa records some temperatures. Fridge 4 °C Cool box -3 °C Freezer -19 °C (i) Find the difference in temperature between the fridge and the cool box. … °C [1] (ii) Find the difference in temperature between the cool box and the freezer. … °C [1] (iii) The temperature in the cold room is 5 °C lower than the fridge. Find the temperature in the cold room. … °C [1] (b) Alexa, Ben and Chloe share the profits from their restaurant in the ratio 2 : 6 : 7. One year the restaurant makes a profit of $60 000. Work out how much each receives. Alexa = $ … Ben = $ … Chloe = $ … [3] (c) They invest $12 000 at a rate of n% per year simple interest. At the end of 3 years the value of the investment is $12 900. Find the value of n. n = … [3]

9 marks

Mark scheme: 4(a)(i) 7 1 4(a)(ii) 16 1 4(a)(iii) −1 1 4(b) 8000 3 B2 for one correct 24 000 60000 or M2 for × k 28 000 2 + 6 + 7 60000 or M1 for 2 + 6 + 7 4(c) 2.5 3 12900 − 12000 M1 for 3 their 300 M1dep for [× 100] 12000

This question in 0580/32 May/June 2020

11 (a) (i) Write down a fraction equivalent to . 15 … [1] 1 2 (ii) Find a fraction that is greater than but less than . 15 15 … [1] (b) (i) Write 15% as a decimal. … [1] (ii) Shade 15% of this grid. [1] (c) Write down all the factors of 15. … [2] (d) Find the value of 15. Give your answer correct to 3 decimal places. … [2] (e) (i) Write down the reciprocal of 15. … [1] (ii) Write down the value of 150. … [1] (iii) Write 0.015 in standard form. … [1]

11 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) k 1 cao 15k 1(a)(ii) a 1 a 2 1 , where < < b 15 b 15 1(b)(i) 0.15 cao 1 1(b)(ii) 6 squares shaded 1 1(c) 1, 3, 5, 15 2 B1 for 3 correct and no extras or 4 correct and one extra 1(d) 3.873 cao 2 B1 for 3.87 or 3.872... 1(e)(i) 1 1 15 1(e)(ii) 1 1 1(e)(iii) 1.5 × 10−2 cao 1

This question in 0580/33 May/June 2020

1 George, Louis and Beatriz have a café. (a) George records the number of each type of meal sold. He draws a pictogram to show his results. All rows are complete except for Salad. Type of meal Number of meals Meat curry Pasta Vegetarian Salad Fish Sandwich Key: = 8 meals (i) Six salads were sold. Complete the pictogram. [1] (ii) Write down which type of meal was sold most. … [1] (iii) Find the number of meals sold altogether. … [1] (b) The café also sells drinks. Drinks Cup of tea $2.20 Cup of coffee $2.80 Bottle of juice $1.50 Bottle of water $1.35 Johan buys 2 cups of tea, 1 bottle of juice and 1 bottle of water. Calculate the change he receives from a $10 note. $ … [2] (c) These are the opening times of the café. Monday to Friday 8 am to 6 pm Saturday 9.30 am to 3 pm Sunday Closed Work out the total number of hours the café is open in one week. … hours [2] (d) One week the café makes a profit of $1027. George, Louis and Beatriz share this profit in the ratio George : Louis : Beatriz = 7 : 4 : 2. Calculate the amount of money they each receive. George $ … Louis $ … Beatriz $ … [3] (e) In 2019 the rent for the café was $7275. In 2020 the rent is $7566. Calculate the percentage increase in the rent. … % [2] (f) George drives 315 km from the café to the airport. The journey takes 3 hours 30 minutes. Calculate his average speed. … km/h [1]

13 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 3 1 of rectangle marked on diagram 4 1(a)(ii) Pasta 1 1(a)(iii) 68 1 1(b) 2.75 2 M1 for [10 –] (2.20 + 2.20 + 1.50 + 1.35) oe 1(c) 55.5 oe 2 M1 for (10 × 5 + 5.5) oe 1(d) 553 3 M2 for 1027 ÷ (7 + 4 + 2) × k or better 316 where k is 7, 4 or 2 158 M1 for 1027 ÷ (7 + 4 + 2) oe 1(e) 4 nfww 2 7566 − 7275 M1 for [× 100] 7275  7566  or  − 1  [× 100]  7275  7566 or × 100 [ −100] 7275 1(f) 90 1

This question in 0580/32 Oct/Nov 2020

1 (a) A cruise ship travels 2067 km. (i) Write 2067 in words. … [1] (ii) Write 2067 correct to the nearest hundred. … [1] (b) When full, the cruise ship carries 880 guests and 360 crew. Write the ratio guests : crew in its simplest form. … : … [1] (c) There are 480 cabins on the ship. On one cruise, 456 of these cabins were used. Find the percentage of cabins that were used. … % [1] (d) Last year the cost of a cruise was $4600. This year the cost of the same cruise is $4784. Work out the percentage increase in the cost. … % [2] (e) The cost of building the ship was $153 000 000. Write 153 000 000 in standard form. … [1] (f) There are 480 cabins on the ship. There are four types of cabin: Ocean-view, Balcony, Interior and Suite. Hannah starts to draw a pie chart to show the numbers of each type of cabin. Ocean-view 144° Balcony (i) Show that there are 120 Ocean-view cabins on the ship. [1] (ii) The table shows information about each type of cabin. Type of cabin Number of cabins Sector angle in a pie chart Ocean-view 120 90° Balcony 192 144° Interior 68 Suite 100 (a) Complete the table. [2] (b) Complete the pie chart. [1]

11 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Two thousand [and] sixty-seven 1 1(a)(ii) 2100 1 1(b) 22 : 9 1 1(c) 95 1 1(d) 4 nfww 2 4784 − 4600 M1 for [× 100] 4600  4784  or  − 1  [× 100]  4600  4784 or × 100 [– 100] oe 4600 1(e) 1.53 × 108 1 1(f)(i) 90 1 × 480 [= 120] oe 360 1(f)(ii)(a) 51 2 68 100 M1 for either × 360 or × 360 oe 75 480 480 or better 1(f)(ii)(b) Correct pie chart 1 FT dep on their 51° and their 75° adding to 126°

This question in 0580/33 Oct/Nov 2020

4 (a) The diagram shows the plan of part of Rachel’s garden. 14.6 m 3.2 m NOT TO SCALE 10.9 m 8.5 m Calculate the area. … m2 [3] (b) Rachel has a pond in her garden in the shape of a circle. The circumference of the pond is 4.25 m. Calculate the diameter of the pond. Give your answer in centimetres. … cm [3] (c) A plant pot is a cylinder with radius 15 cm and height 24 cm. Calculate the volume of the pot. … cm3 [2] (d) The diagram shows two mathematically similar plant pots. h NOT TO 21.6 cm SCALE 27 cm 33 cm The smaller pot has height 21.6 cm and diameter 27 cm. The larger pot has diameter 33 cm. Find the height, h, of the larger pot. h = … cm [2] (e) A shop sells bags of compost in three different sizes. Small Medium Large 30 litres 50 litres 75 litres $5.82 $9.45 $14.50 Work out which size of bag gives the best value. Show how you decide. … [3]

13 marks

Mark scheme: 4(a) 112.17 3 M2 for 14.6 × 10.9 – (14.6 – 8.5) × (10.9 – 3.2) oe or M1 for a correct method to find one of the six areas or B1 for 7.7 or 6.1 soi 4(b) 135 or 135.26 to 135.3 3 4.25 M1 for oe π B1 for their answer in metres seen correctly converted to cm or 425 [cm] seen 4(c) 17 000 or 16 960 to 16 970 2 M1 for π × 152 × 24 oe 4(d) 26.4 2 21.6 27 M1 for = oe or better h 33 4(e) Medium 3 M2 for 3 correct consistent divisions shown With correct comparisons made of the but either not evaluated to enough accuracy 3 bags with suitable accuracy shown or wrong bag selected or M1 for 2 correct consistent divisions shown for 2 bags

This question in 0580/33 Oct/Nov 2020

2 A family go on a skiing holiday to America. (a) The hotel has 840 rooms. 735 rooms are occupied. Calculate the percentage of rooms that are occupied. … % [1] (b) The temperature in the hotel is 21 °C. The temperature in the hotel is 26.7 °C warmer than at the top of the mountain. The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain. Work out the temperature at the bottom of the mountain. … °C [2] (c) Hire cost ($) Equipment 3 days 4 days 7 days Ski equipment 80.80 94.60 128.00 Adult Snowboard equipment 96.80 112.60 151.20 Helmet 12.80 15.20 20.70 Ski equipment 47.60 55.40 75.80 Child Snowboard equipment 59.00 70.20 94.60 Helmet 10.40 12.00 16.70 There are two adults and one child in the family. They hire all their equipment. The child skis for 3 days and snowboards for 4 days. Both adults ski for 7 days. All three of them hire a helmet for 7 days. Work out the total cost of the equipment hire for the family. $ … [2] (d) A ski lift, when full, takes 4000 passengers per hour. This lift works for 10 hours a day. One day, this lift is 90% full for 3 hours and 75% full for 7 hours. Work out the number of passengers who take the lift that day. … [3] (e) The family buy their lift passes before the holiday for a total of 51 400 rupees. In America, the passes cost a total of $684. The exchange rate is 1 rupee = $0.0129 . Show that the family save 1620 rupees, correct to the nearest 10 rupees, by buying the passes before their holiday. [3] (f) The height, h metres, of the mountain is 2642 m, correct to the nearest metre. Complete this statement about the value of h. … G h 1 … [2]

13 marks

Mark scheme: 2(a) 87.5 1 2(b) −2.5 2 M1 for 21 − 26.7 or 26.7 − 3.2 2(c) 431.9[0] 2 M1 for 47.6 + 70.2 + 16.7 oe or 2 × 128 + 2 × 20.7 oe or B1 for 134.5, 148.7, 297.4, 58.1 or 373.8 or 283.2 2(d) 31 800 3 90 M2 for 3 × × 4000 oe 100 75 or 7 × × 4000 oe 100 90 or M1 for × 4000 oe 100 75 or × 4000 oe 100 2(e) 684 M1 or 684 − 51400 × 0.0129 0.0129 53023 − 51400 M1 20.94 or 0.0129 1623 A1 2(f) 2641.5 2642.5 2 B1 for each If 0 scored, SC1 for answers correct but reversed

This question in 0580/32 Feb/March 2021

8 (a) A baker puts some cakes in the oven at 5.50 pm. The cakes take 20 minutes to bake. 12 11 1 10 2 9 3 8 4 7 5 6 Complete the clock diagram to show the time when the cakes are baked. [1] (b) A recipe uses 550 g of flour to make 8 cakes. Work out the amount of flour needed to make 360 cakes. Give your answer in kilograms. … kg [3] (c) NOT TO Bag A Bag B Bag C SCALE 850 g 950 g 1250 g 55 cents 60 cents 80 cents Work out which bag of flour is the best value. Show all your working. Bag … [3] (d) One cake costs 24 cents to make. The baker sells each cake for 65 cents. Calculate the percentage profit the baker makes on each cake. … % [2] (e) The baker asks some customers if they like lemon cake (L) and if they like chocolate cake (C). The Venn diagram shows the results. L C Kab Bel Yesa Jai Haji Var Rea Nera Esh Ada Chir Taj (i) Complete the statement. n() = … [1] (ii) Work out the fraction of the customers who like lemon cake or chocolate cake but not both. … [1] (iii) Use set notation to complete the statement. {Jai, Nera} = … [1] (iv) What does the Venn diagram show about Taj? … [1]

13 marks

Mark scheme: 8(a) 10 past 6 shown on clock face 1 diagram 8(b) 24.75 3 550 × 360 M2 for oe 8 × 1000 550 × 360 or M1 for oe 8 or B1 for figs 2475 or figs 248 8(c) B 3 M2 for 3 correct divisions shown but either With correct comparisons made of not evaluated to enough accuracy or wrong the 3 bags with suitable accuracy bag selected shown or M1 for 2 correct divisions shown for 2 bags 8(d) 171 or 170.8… 2 65 − 24 M1 for [×100] 24 65 or × 100 [−100] 24 65 or −[×100]1 24 8(e)(i) 12 1 8(e)(ii) 3 1 or equivalent fraction 4 8(e)(iii) L ∩ C 1 8(e)(iv) Correct statement 1

This question in 0580/32 Feb/March 2021

1 (a) Strawberries cost $4.20 per kilogram and cream costs $8.56 per litre. Venus buys 1.2 kg of strawberries and 125 ml of cream. Work out the total cost. $ … [3] (b) Ravi has $20. A pineapple costs $1.45 . Work out the largest number of pineapples Ravi can buy and the change he receives. Number of pineapples … Change $ … [3] (c) Abraham has a box of 72 biscuits. 2 He gives of the biscuits to his grandmother. 9 3 He then gives of the biscuits that are left to his cousin. 7 Work out how many biscuits Abraham has now. … [3] (d) Flo makes 84 cakes. She sells 35 of these cakes. Calculate the percentage of the cakes that she sells. … % [1] (e) A bag contains 132 sweets. The sweets are shared between Beatrix and Volker in the ratio Beatrix : Volker = 5 : 7. Work out the number of sweets they each receive. Beatrix … Volker … [2] (f) Jed sells desserts for $24 each. Each dessert costs $12.80 to make. (i) Work out his percentage profit. … % [2] (ii) The cost to make each dessert increases to $13.60 . Jed wants to make the same percentage profit. Work out the new selling price. $ … [2]

16 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 6.11 3 M2 for 1.2 × 4.2 + 0.125 × 8.56 oe or M1 for 1.2 × 4.2 oe or figs125 × 8.56 or B1 for 0.125 1(b) 13 1.15 3 20 M1 for 1.45 M1 for 20 − 1.45 × k where k integer ⩽13 1(c) 32 3 7 4 M2 for × × 72 9 7 OR 2 7 M1 for 9× 72 or 9 × 72 4 and M1dep for × their 56 7 3 or × their 56 7 1(d) 41.7 or 41.66 to 41.67 1 1(e) 55 77 2 132 M1 for × k oe where k is 1 or 5 or 5 + 7 7 1(f)(i) 87.5 2 24 M1 for × 100 [ − 100 ] or 12.8 24 − 12.8 24 [× 100 ] or − 1[ × 100 ] 12.8 12.8 1(f)(ii) 25.5[0] nfww 2 FT their (f)(i)  their ( f )( i )  M1 for 13.6 ×  1 +  oe  100  or B1FT for 11.90 13.6 12.8 or M1 for = or better x 24

This question in 0580/31 May/June 2021

1 Alex is building a house. The materials cost 1 12 times the cost of the land. The wages cost 1 14 times the cost of the land. (a) Show that the ratio of costs, in its simplest form, is land : materials : wages = 4 : 6 : 5. [2] (b) The wages cost $47 500. Show that the total cost of land, materials and wages is $142 500. [2] (c) Work out the cost of (i) the land, $ … [2] (ii) the materials. $ … [1] (d) Alex borrows $28 000 for 6 years at a rate of 5.5% per year compound interest. Calculate the amount he repays at the end of the 6 years. Give your answer correct to the nearest dollar. $ … [3] (e) When Alex sells the house, he makes a profit of 27% on the $142 500. Calculate the selling price of the house. $ … [2]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 1 1 B1 1 : 1.5 : 1.25 or 1 : 1 :1 2 4 Working shown leading to 4 : 6 : 5 M1 1(b) 47 500 ÷ 5 × (4 + 6 + 5) M2 M1 for 47 500 ÷ 5 1(c)(i) 38 000 2 M1 for 142 500 ÷ 15 [× 4] or 47 500 ÷ 5 [× 4] oe soi 1(c)(ii) 57 000 1 FT for 95 000 – their (c)(i) 1(d) 38 608 cao 3 6  5.5  M1 for 28 000 ×  1 +  oe  100  A1 for 38 607.5… or 38 607.6 or 38 607 or 38 610 or 38 600 B1 for their correctly rounded answer 1(e) 180 975 2  27  M1 for 142 500 ×  1 +  oe  100  or B1 for 38 475

This question in 0580/32 May/June 2021

1 Ray owns an electrical shop. (a) The table shows the opening times of the shop. Sunday Closed Monday Closed Tuesday 08 00 to 12 30 and 13 30 to 17 00 Wednesday 08 00 to 12 30 and 13 30 to 17 00 Thursday 08 00 to 12 30 and 13 30 to 17 00 Friday 08 00 to 12 30 and 13 30 to 17 00 Saturday 08 00 to 13 00 and 14 00 to 19 00 Work out how many hours the shop is open in one week. … hours [3] (b) Saeed buys 2 ovens costing $440 each, 4 grills costing $184 each and 3 fridges costing $1280 each. Calculate the total cost. $ … [3] (c) Alice buys 3 batteries costing $2.85 each. Work out how much change she receives from $10. $ … [2] (d) Cherie works 32 hours one week and she is paid $8.48 per hour. In another week she works 37 hours. For each hour over 32 hours she works, she is paid 1.25 times her hourly rate. Calculate her pay for the week she works 37 hours. $ … [4] (e) Ray buys a toaster for $36. When he sells it he makes a profit of 40%. Calculate the selling price of this toaster. $ … [2]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 42 3 M1 for 4.5 + 3.5 or 9 – 1 M1 for 5 + 5 or 11 – 1 or M1 for 4.5 × 4 + 5 or 18 + 5 oe M1 for 3.5 × 4 + 5 or 14 + 5 oe 1(b) 5456 3 B2 for 880, 736 and 3840 or B1 for one of these or M1 for 2 × 440 or 4 × 184 or 3 × 1280 1(c) 1.45 2 M1 for 10 – 3 × 2.85 1(d) 324.36 cao 4 M1 for 32 × 8.48 M1 for 8.48 × 1.25 oe M1 for (37 – 32) × their 10.6[0] Accept alternative methods 1(e) 50.4[0] 2 M1 for 36 × 1.4 oe or B1 for 14.4[0]

This question in 0580/33 May/June 2021

3 (a) The diagram shows a scale drawing of Joel’s rectangular garden. The scale is 1 centimetre represents 8 metres. Scale: 1 cm to 8 m Find the actual area of his garden. … m2 [3] (b) The diagram shows a rectangular gate, FGHJ, in Joel’s garden. F J NOT TO SCALE G H GJ = 2.1 m and FG = 0.85 m. Find FJ. FJ = … m [3] (c) 85 m NOT TO SCALE patio grass 24 m The diagram shows Brenda’s rectangular garden. There is a patio in the shape of a quarter-circle. She wants to grow grass in the shaded part of the garden. She needs 40 g of grass seed per square metre. Grass seed is sold in 1 kg bags which cost $6.80 per bag. Calculate the cost of the grass seed she needs to buy. $ … [6]

12 marks

Mark scheme: 3(a) 3840 3 B1 for 5.8 to 6.2 or 9.8 to 10.2 or 4050 or 3637.76 to 4047.36 M1 for their length × their width or for use of 82 3(b) 1.92 or 1.920… 3 M2 for 2.12 − 0.852 or better or M1 for 2.12 = FJ2 + 0.852 or better 3(c) 435.2[0] cao 6 M1 for 85 × 24 M1 for π × 242 ÷ 4 oe M1 for their 2040 – their 452 M1 for their area × 100040 oe M1 for their 64 × 6.8[0]

This question in 0580/33 May/June 2021

7 Rita and Henry own an investment business. (a) They share the profit in the ratio Rita : Henry = 3 : 5. In one year they make a profit of $2 400 000. Calculate Rita’s share of the profit. $ … [2] (b) Henry invests $160 000 at a rate of 2.5% per year compound interest. Calculate the value of this investment at the end of 3 years. $ … [2] (c) Rita invests $12 000 at a rate of r % per year. The value of her investment at the end of one year is $12 408. Work out the value of r. r = … [2] (d) Rita and Henry decorate their office. The cost, $c, is $10 800, correct to the nearest hundred dollars. Complete this statement about the value of c. … G c 1 … [2]

8 marks

Mark scheme: 7(a) 900 000 2 2400000 M1 for × k 3 + 5 7(b) 172 302.5[0] cao 2 M1 for 160 000 × (1 + 1002.5 ) 3 oe 7(c) 3.4 2 12408 − 12000 M1 for [× 100] oe 12000 12408 or − 1 [ × 100 ] oe 12000 12408 or × 100 [ −100 ] oe 12000 7(d) 10 750 10 850 2 B1 for each If 0 scored, SC1 for both correct but reversed

This question in 0580/33 May/June 2021

2 (a) In one year, a theatre sells four hundred and ninety-six thousand and fifty tickets. Write this number in figures. … [1] (b) The theatre is used for performances of operas, plays, concerts and musicals. The pie chart shows information about the number of each type of performance. Operas 27° Musicals Plays Concerts (i) Complete these statements. The type of performance shown the most is … . The sector angle for this type of performance is … degrees. [2] (ii) Write down the percentage of performances that are plays. … % [1] (iii) The theatre is used for 320 performances in the year. Calculate the number of opera performances. … [2] (iv) The number of concert performances is in the ratio classical music : popular music = 7 : 5. There are 56 classical music concerts. Find the number of popular music concerts. … [2] (c) The table shows the prices of a child ticket and a senior ticket for a play. Adult Child Senior $ … $15.50 $35 Alex buys tickets for 2 adults, 3 children and 1 senior. He pays a total of $159.50 . Complete the table. [2] (d) Last week the cost of a ticket for a musical was $65. This week the same ticket costs $55.90 . Find the percentage reduction in the cost of this ticket. … % [2]

12 marks

Mark scheme: 2(a) 496 050 1 2(b)(i) Musicals 2 B1 for each 135 2(b)(ii) 25 1 2(b)(iii) 24 2 27 320 M1 for [× 320 ] oe or [× 27 ] oe 360 360 2(b)(iv) 40 2 56 M1 for [×k ] oe where k = 5 or 12 7 2(c) 39 2 M1 for 159.50 −×3 15.5 − 35 or better 2(d) 14 2 65 − 55.9 [ 0 ] M1 for [× 100] oe 65  55.9 [ 0 ]  or  1 −  [× 100 ] oe  65  55.9 [ 0 ] or [100 –] × 100 oe 65

This question in 0580/31 Oct/Nov 2021

1 (a) In a café at a train station, a cup of coffee costs $3.25 and a glass of cola costs $2.15 . Gary buys 2 cups of coffee and 4 glasses of cola. Work out how much change he receives from a $20 note. $ … [3] (b) Roy spends $37.80 in the café on food and drink in the ratio food : drink = 7 : 2. Work out how much he spends on food. $ … [2] (c) The price of a $48 train ticket is increased by 12%. Find the new price of the ticket. $ … [2] (d) Here is part of the timetable for trains from Washby to Dunstley. All trains take the same time to travel from Washby to Dunstley. Washby 09 18 11 05 Dunstley 10 03 … Complete the timetable. [2] (e) On one day, Washby station sells 28 senior tickets, 192 adult tickets and some child tickets. Senior tickets 42° Complete the pie chart to show this information. [3]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 4.9[0] cao 3 M2 for 20 − (2 × 3.25 + 4 × 2.15) oe or M1 for 2 × 3.25 or 4 × 2.15 1(b) 29.4[0] cao 2 37.8 M1 for [× k] where k = 1, 2 or 7 7 + 2 1(c) 53.76 cao 2  12  M1 for 48 ×  1 +  oe  100  or B1 for 5.76 1(d) 11 50 2 B1 for 45 [min], 1 h 47 [min] or 107 [min] 1(e) Correct pie chart drawn 3 42 M2 for 192 × oe 28 or 42 M1 for oe 28

This question in 0580/32 Oct/Nov 2021

5 (a) A cuboid measures 4 cm by 2 cm by 2 cm. (i) On the 1 cm2 grid, draw an accurate net of this cuboid. One face has been drawn for you. [3] (ii) Calculate the surface area of the cuboid. … cm2 [2] (iii) A factory makes 5000 of these cuboids. 25 of the cuboids are checked and 3 of these cuboids are faulty. How many of the 5000 cuboids are expected to be faulty? … [2] (b) The surface area of a cube is 294 cm2. Calculate the volume of the cube. … cm3 [3] (c) The length, l cm, of a line is measured as 24 cm, correct to the nearest centimetre. Complete the statement about the value of l. … G l 1 … [2]

12 marks

Mark scheme: 5(a)(i) Fully correct net 3 B2 for 4 more correct faces in correct position or B1 for 2 or 3 more correct faces in correct position 5(a)(ii) 40 2 M1 for 4 (4 × 2) + 2(2 × 2) oe 5(a)(iii) 600 2 M1 for 3 ÷ 25 [× 5000] oe 5(b) 343 3 M2 for (294 ÷ 6) 3 oe or M1 for 294 ÷ 6 or better 5(c) 23.5 2 B1 for each 24.5 If 0 scored, SC1 for both correct but reversed

This question in 0580/33 Oct/Nov 2021

1 (a) One day, Mahika records the number of teachers and students who cycle to school. Tally Frequency Teachers | | | | Students | | | | | | | | | | | | | | | | | | | (i) Complete the frequency column in the table. [1] (ii) Work out the percentage of people who cycle that are students. … % [2] (b) Mahika records how 120 students from Year 1 and Year 2 travel to school. Each student walks, cycles or travels by bus. • 48 students are in Year 1. • 77 students walk. • 5 students in Year 2 cycle. • 36 students travel by bus. 4 • of the students who travel by bus are in Year 1. 9 (i) Complete the table. Walk Cycle Bus Total Year 1 Year 2 Total 120 [3] (ii) One of the 120 students is chosen at random. Work out the probability that this student does not travel by bus to school. … [2] (c) There have been 24 complaints about one of the buses. The complaints are: • The bus is late. • The price is too high. • The bus is crowded. (i) Complete the table. Pie chart Complaint Frequency sector angle Late 10 Price 6 Crowded 8 [2] (ii) Complete the pie chart. [2]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 5 23 1 1(a)(ii) 82.1 or 82.14… 2 FT their (a)(i) their 23 M1 for [× 100 ] soi their 5 + their 23 1(b)(i) 30 2 16 48 3 B2 for 9 or 10 correct 47 5 20 72 or B1 for 5, 6, 7 or 8 correct 77 7 36 [120] 1(b)(ii) 7 2 120 − 36 oe M1 for oe 10 120 or B1 for 84 or for their77 +their 7 1(c)(i) 150, 90, 120 2 B1 for one correct sector angle 360 or M1 for × k k =1, 6, 8 or 10 24 1(c)(ii) Correct pie chart drawn 2 FT their table if angles add up to 360 B1FT for one sector correctly drawn

This question in 0580/32 Feb/March 2022

3 Sachin, his wife and three children go on a coach holiday. (a) Each adult ticket costs $375 and each child ticket costs $194. Work out the total cost of the tickets. $ … [2] (b) A meal costs $110 plus a service charge of 18%. Calculate the total cost of the meal. $ … [2] (c) One day, the temperature at midday is 16 °C. At midnight the temperature has fallen by 23 °C. Work out the temperature at midnight. … °C [1] (d) Sachin spends $768 on holiday. 3 He spends of this amount on presents. 8 Find how much he spends on presents. $ … [1] (e) There are 604 passengers on the holiday. (i) The coach company uses coaches which can carry 46 passengers. Work out the number of coaches needed. … [2] (ii) 268 of the 604 passengers are women. Find the percentage of the passengers that are women. … % [1] (f) A coach travels at an average speed of 54 km/h. Find how long, in hours and minutes, this coach takes to travel 126 km. … h … min [3]

12 marks

Mark scheme: 3(a) 1332 2 M1 for 2  375 + 3  194 oe 3(b) 129.8[0] 2 M1 for 110  (1  10018 ) oe or B1 for 19.8[0] 3(c) −7 1 3(d) 288 1 3(e)(i) 14 2 M1 for 604 ÷ 46 or 13.1[3…] 3(e)(ii) 44.4 or 44.37… 1 3(f) 2 (h) 20 (min) 3 M1 for 126 ÷ 54 A1 for 2.33… or 140 mins If A0 scored, SC1 for their (decimal time) correctly changed to hours and minutes

This question in 0580/31 May/June 2022

9 Ahmed owns a company. (a) (i) Each year he earns $56 000 plus 3% of the year’s profit. Calculate the amount he earns in a year when the profit is $320 600. $ … [2] (ii) In the following year the profit is $347 851. Calculate the percentage increase in the profit. … % [2] (b) Ahmed employs three people, Budi, Citra and Dian. Budi earns $17 000, Citra earns $13 600 and Dian earns $6800. Find the ratio of their earnings in its simplest form. Budi : Citra : Dian = … : … : … [2] (c) Ahmed buys materials from China costing 7560 yuan. Work out the cost of the materials in dollars when the exchange rate is $1 = 7.06 yuan. Give your answer correct to the nearest dollar. $ … [2] (d) Ahmed borrows $8 000 for 3 years at a rate of 5% per year compound interest. Calculate the amount of interest he will pay at the end of the 3 years. $ … [3]

11 marks

Mark scheme: 9(a)(i) 65 618 2 3 M1 for × 320 600 oe 100 9(a)(ii) 8.5 2 347851  320600[ 100] M1 for 320600 347851 or 1[ 100] 320600 347851 or  100 [− 100] 320600 9(b) 5 : 4 : 2 2 B1 for any correct partial simplification of the ratio 9(c) 1071 cao 2 M1 for 7560 ÷ 7.06 If zero scored, SC1 for their decimal answer correctly rounded to the nearest dollar 9(d) 1261 cao 3 B2 for 9261 as final answer or  5  3 M2 for 8000  1   8000 oe    100  or  5  3 M1 for 8000  1  oe    100 

This question in 0580/33 May/June 2022

1 Helga buys some items to do some knitting. (a) Complete Helga’s bill from one shop. Item Cost ($) 2 pairs of knitting needles at $4.95 a pair 6 buttons at $0.65 each 1 knitting pattern at $3.60 3.60 Total [3] (b) Helga also buys 8 balls of wool from another shop. Each ball costs $3.12 . Helga pays with a $50 note. Work out the amount of change she receives. $ … [2] (c) Helga knits some squares. Each square is either white, pink or blue. The number of squares are in the ratio white : pink : blue = 5 : 3 : 2. 30 squares are blue. Show that Helga knits 150 squares. [2] (d) Helga uses some of the squares to make a rectangular blanket. The blanket is 6 squares long and 4 squares wide. (i) Calculate the percentage of the 150 squares she uses to make this blanket. … % [2] (ii) Each square has side length 15 cm. Work out the perimeter of this blanket. Give your answer in metres. … m [3]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 9.9[0] 2 B1 for each 3.9[0] 17.4[0] 1 FT their table 1(b) 25.04 2 M1 for 50 – (8  3.12) or B1 for 24.96 1(c) 30 2 30 5 + 3 + 2  (5 + 3 + 2) M1 for or 2 2 2 1(d)(i) 16 2 M1 for 6  4 soi by 24 1(d)(ii) 3 3 M2 for 2(6  15 + 4  15) oe or 2(6  0.15 + 4  0.15) oe or M1 for 6  15 or 4  15 oe or 6  0.15 or 4  0.15 oe or 2  (6 + 4) oe

This question in 0580/31 Oct/Nov 2022

9 (a) Sami buys a new car. (i) She pays a deposit of $2250 and 36 equal monthly payments of $437.50 . Show that she pays a total amount of $18 000. [2] (ii) Sami later sells the car for $13 680. Calculate the percentage loss. … % [2] (b) Sami invests $12 750 for 6 years at a rate of 1.8% per year compound interest. Calculate the value of her investment at the end of the 6 years. $ … [2]

6 marks

Mark scheme: 9(a)(i) 2250 + 437.5  36 [= 18 000] 2 M1 for 437.5  36 9(a)(ii) 24 2 18000 –13680 M1 for  100  oe 18000  13680  or 1 –   [ 100] oe  18000  or 100 − 13680  100 oe 18000 9(b) 14 200 or 14 190 2  1.8  6 M1 for 12 750  1 +  oe or 14 190.5 or 14 190.47…  100 

This question in 0580/31 Oct/Nov 2022

4 Mr and Mrs Perez and their 3 children go on holiday to Tokyo. (a) The holiday costs $3800 for an adult and $2400 for a child. 8% tax is then added to the cost of the holiday. Find the total cost of the holiday, including tax, for the Perez family. $ … [4] (b) The plane takes 11 hours 40 minutes to fly from Los Angeles to Tokyo. The plane leaves on Wednesday at 10 35 local time. The local time in Tokyo is 17 hours ahead of the local time in Los Angeles. (i) Find the day and local time in Tokyo when the plane arrives. Day … Time … [3] (ii) The distance the plane flies is 8820 km. Calculate the average speed of the plane. … km/h [2] (c) The diagram shows a conversion graph between dollars and Japanese yen. 4500 4000 3500 3000 2500 Yen 2000 1500 1000 500 0 0 5 10 15 20 25 30 35 40 Dollars A watch costs $100. Find the cost of this watch in yen. … yen [2] (d) The family go to a restaurant. The total cost of the food and drinks is $154. The ratio cost of food : cost of drinks = 21 : 4. Work out the cost of drinks. $ … [2]

13 marks

Mark scheme: 4(a) 15 984 cao 4 8 M3 for (2×3800 + 3×2400) × (1+ ) oe 100 8 or M2 for [2×]3800 × (1+ ) oe 100 8 or [3×]2400 × (1+ ) oe 100 8 or (2 × 3800 + 3 × 2400) × oe 100 or M1 for 2 × 3800 + 3 × 2400 oe 8 or [k×]3800 × oe 100 8 or [k×]2400 × oe 100 where k is any integer 8 If 0 scored, SC1 for j × (1+ ) 100 where j is any value 4(b)(i) Thursday and 15 15 or 3 15 pm 3 B1 for Thursday as final answer B2 for 15 15 as final answer or B1 for 22 15, [0]3 35, 28h 40, 39 15 If 0 scored, SC1 for 10 35 + 11 40 + 17 4(b)(ii) 756 2 M1 for 8820 ÷ their time 4(c) 11 000 or 10 875 to 11 125 2 B1 for 10 000 to 12 000 as answer or M1 for 110 × 100 or for a valid method e.g. look up ‘40’ × 2.5 4(d) 24.64 cao 2 154 M1 for × k where k is 1, 4 or 21 oe 21 + 4

This question in 0580/32 Oct/Nov 2022

3 (a) The population of Alaska is 735 720. (i) Write this number in words. … … [1] (ii) The land area of Alaska is 1 477 300 square kilometres. Work out the average number of people per square kilometre. … [1] (iii) In Alaska, the city with the highest population is Anchorage with 291 830 people. What percentage of the population of Alaska live in Anchorage? … % [1] (b) The length, L km, of a race is 1569 km, correct to the nearest kilometre. Complete this statement about the value of L. … G L 1 … [2] (c) The table gives some information about two mountains. The temperatures are taken at the top of each mountain on the same day. Maximum Minimum Height in metres temperature temperature Highest mountain Denali 6190 -9 °C -20 °C in Alaska Highest mountain Everest 8849 … °C -38 °C in the world (i) Find the difference between the height of Denali and the height of Everest. … m [1] (ii) Find the difference between the maximum temperature and the minimum temperature at the top of Denali. … °C [1] (iii) The maximum temperature at the top of Everest was 27 °C colder than the maximum temperature at the top of Denali. Complete the table. [1]

8 marks

Mark scheme: 3(a)(i) Seven hundred [and] thirty-five thousand, 1 seven hundred [and] twenty 3(a)(ii) 0.498 or 0.4980… 1 3(a)(iii) 39.7 or 39.66 to 39.67 1 3(b) 1568.5, 1569.5 2 B1 for each If 0 scored, SC1 for both values correct but reversed 3(c)(i) 2659 1 3(c)(ii) 11 1 3(c)(iii) –36 1

This question in 0580/33 Oct/Nov 2022

1 (a) The table shows some information about the opening hours of a café. The café opens 4 days a week. Number of Day Opening time Closing time hours open Thursday 8 am 4.30 pm Friday 8.30 am 7 12 Saturday 9.30 am 5.30 pm 8 Sunday 3.30 pm 5 Total number of 29 hours open Complete the table. [3] (b) (i) A waiter works 29 hours a week in the café. He is paid $9.50 per hour. He is paid for 52 weeks of the year. Work out his total pay for the year. $ … [2] (ii) The chef is paid 32% more than the waiter per hour. Work out how much the chef is paid per hour. $ … [2] (c) Here is part of the café’s menu. MENU Cup of coffee $2.50 Slice of pizza $3.70 Cup of tea $2.30 Raj buys 2 cups of coffee, 1 cup of tea and 3 slices of pizza. Calculate the change he receives from $20. $ … [3] (d) The chef records the types of baguettes the café sells in one day. salad cheese salad salad egg cheese cheese salad cheese egg salad cheese salad salad egg cheese salad salad egg salad cheese salad (i) Complete the frequency table to show this information. You may use the tally column to help you. Type of Tally Frequency baguette Cheese Egg Salad [2] (ii) On the grid, draw a bar chart to show this information. 12 11 10 9 8 7 Frequency 6 5 4 3 2 1 0 Cheese Egg Salad Type of baguette [2]

14 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 1 3 B1 for each 10.30 am, 4[.00] pm, 8 2 1(b)(i) 14 326 2 M1 for 29 × 9.5 × 52 or B1 for 1508 or 275.5 seen 1(b)(ii) 12.54 2 100 + 32 M1 for  9.5 oe 100 or B1 for 3.04 1(c) 1.6[0] 3 M2 for 20 − ( 2  2.5 + 2.3 + 3  3.7 ) oe or M1 for 2  2.5 + 2.3 + 3  3.7 oe or B1 for 5 and 11.1 seen 1(d)(i) 7, 4, 11 2 B1 for one or two correct frequencies If 0 scored, SC1 for all 3 tallies correct if frequency column blank or for all correct frequencies but in the tally column 1(d)(ii) Correct bar chart 2 FT their 1(d)(i) provided 3 positive integer values each less than 13 B1 for one bar correct or for one bar correct FT from their table

This question in 0580/32 Feb/March 2023

3 These are the test scores of 16 students. 15 26 9 45 36 20 41 39 40 23 32 18 41 34 37 31 (a) Complete the stem-and-leaf diagram. 0 1 2 3 4 Key: 1 5 represents 15 [2] (b) Find the mode. … [1] (c) Find the median. … [1] (d) Find the range. … [1] (e) Complete the bar chart for the test scores of the 16 students. 7 6 5 4 Number of students 3 2 1 0 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 Test score [2] (f) Work out the percentage of students with a test score of 40 or more. … % [1]

8 marks

Mark scheme: 3(a) 2 B1 for 3 fully correct rows 0 9 or for a fully correct unordered stem-and-leaf diagram 1 5 8 2 0 3 6 3 1 2 4 6 7 9 4 0 1 1 5 3(b) 41 1 3(c) 33 1 3(d) 36 1 3(e) Correct bar chart 2 FT their stem-and-leaf diagram B1FT for 3 correct or follow through heights 3(f) 25 1 their k FT × 100 from the bar 16 chart or from their stem-and-leaf diagram

This question in 0580/31 May/June 2023

5 Antonio buys a restaurant for $240 000. 5 This is of the amount he has available to spend. 8 (a) Show that he has $144 000 left after buying the restaurant. [2] (b) Some of the $144 000 is spent on expenses. Expenses are wages, equipment and supplies in the ratio wages : equipment : supplies = 9 : 5 : 8. The amount spent on wages is $45 000. (i) Find the amount spent on (a) equipment $ … [2] (b) supplies. $ … [1] (ii) Work out the amount Antonio has left now. $ … [2] (c) Antonio borrows $25 400 for 6 years at a rate of 5% per year simple interest. Calculate the total amount he repays at the end of the 6 years. $ … [3] (d) In one week, the number of customers in the restaurant was 560. In the next week, the number of customers in the restaurant was 656. Calculate the percentage increase. … % [2]

12 marks

Mark scheme: 5(a) 240 000 ÷ 5 × 8 – 240 000 M2 M1 for 240 000 ÷ 5 × 8 3 or 240 000 × 5 5(b)(i)(a) 25 000 2 M1 for 45 000 ÷ 9 oe 5(b)(i)(b) 40 000 1 5(b)(ii) 34 000 2 FT 99 000 – (their 25 000 + their 40 000) M1 for 144 000 – 45 000 – (their 25 000 + their 40 000) oe 5(c) 33 020 3 B2 for 7620 or M2 for 25400 5 6 25 400 + oe 100 25400 5 6 or M1 for oe 100 5(d) 17.1 or 17.1[4…] 2 656 560 M1 for  100  oe 560  656  100  oe or   100     560   656  100  oe or  1    560 

This question in 0580/31 May/June 2023

4 Fidel gives different amounts of water to some plants. The scatter diagram shows the height (cm) and the amount of water (ml) for each of 15 plants. 50 45 40 35 30 Height (cm) 25 20 15 10 5 0 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 Amount of water (ml) (a) Plot these two results on the scatter diagram. Amount of water (ml) 60 85 Height (cm) 27 41 [1] (b) What type of correlation is shown in the scatter diagram? … [1] (c) One of the plants had a lower height than expected for the amount of water given. On the scatter diagram, put a ring around the point for this plant. [1] (d) (i) On the scatter diagram, draw a line of best fit. [1] (ii) Another plant is given 65 ml of water. Use your line of best fit to estimate the height of this plant. … cm [1] (e) Find the percentage of these 17 plants that have a height of more than 24 cm. Give your answer correct to 1 decimal place. … % [3]

8 marks

Mark scheme: 4(a) Two points accurately plotted 1 4(b) Positive 1 4(c) (60, 7) indicated 1 4(d)(i) Accurate straight line of best fit 1 4(d)(ii) 24 to 32 1 FT their straight line with positive gradient with tolerance ± 1 square 4(e) 47.1 3 B2 for 47.05 or 47.06 or 47.05…. or 8 their 8 M1 for × 100 or × 100 oe 17 17 B1 for their answer to more than 1 dp correctly rounded to 1 dp

This question in 0580/32 May/June 2023

2 A shop sells food and drink. (a) Bananas cost $1.20 per kilogram and apples cost $2.25 per bag. Work out the total cost of 3.5 kg of bananas and 2 bags of apples. $ … [3] (b) Students receive a 10% discount on their shopping. Before the discount, the cost of a student’s shopping is $16.80 . Work out the amount of the discount. $ … [1] (c) The cost of a cabbage increases by 15%. Calculate the new price if the original price is $1.80 . $ … [2] (d) Some customers have their shopping delivered to their home. The cost is $5 plus $1.50 for each kilometre travelled from the shop to their home. (i) Show that the cost for a customer living 10 km from the shop is $20. [1] (ii) 25 20 15 Cost ($) 10 5 0 0 1 2 3 4 5 6 7 8 9 10 Distance travelled (km) On the grid, draw a line to show the cost of having shopping delivered. [2] (e) A bottle of water costs $1.55 . Suki has $20. Work out the maximum number of bottles Suki can buy and the change she receives. Maximum number of bottles … Change $ … [3] (f) A farmer delivers eggs to the shop in trays of 50. The eggs are then put into boxes of 12. There are no eggs left in the trays and all of the egg boxes are full. Work out the smallest possible number of eggs that the farmer delivers. … [2] (g) The shop sells bottles of orange juice in three different sizes. Bottle A Bottle B Bottle C 0.5 litres 1.2 litres 2 litres $1.30 $3.20 $5.25 Work out which bottle is the best value. Show how you decide. Bottle … [3]

17 marks

Mark scheme: 2(a) 8.7[0] 3 M2 for 3.5  1.2  2  2.25 oe or B2 for 4.2[0] and 4.5[0] or M1 for 3.5  1.2 oe or 2  2.25 oe 2(b) 1.68 cao 1 2(c) 2.07 cao 2  15  M1 for  1    1.8 oe  100  or B1 for 0.27 2(d)(i) 5  10  1.5 [=20] 1 2(d)(ii) Ruled line from (0, 5) to (10, 20) 2 B1 for one correct point plotted 2(e) 12 3 M2 for 20  12  1.55 oe 1.4[0] or B2 for 18.6 20 or M1 for soi by 12.9… 1.55 or 12 in the answer space 2(f) 300 2 B1 for 300k as final answer or M1 for [12 =] 2 × 2 × 3 and [50 =] 2 × 5 × 5 or 2 correct factor trees/lists/tables or a list of multiples of both 12 and 50 with at least 3 of each or 2 × 2 × 3 × 5 × 5 or 2,2,3,5,5 12 or 50  oe 50  (12  4) 2(g) A 3 M2 for 3 correct comparable With correct comparisons made of the 3 values, or for a correct method to bottles with suitable accuracy shown compare 3 bottles shown but not evaluated to enough accuracy or M1 for 2 correct comparable values or for a correct method to compare 3 bottles but not evaluated

This question in 0580/33 May/June 2023

8 (a) The length, l m, of a piece of wire is 18.7 metres, correct to the nearest 10 centimetres. Complete the statement about the value of l. … G l 1 … [2] (b) 850 metres of wire has a mass of 130.5 kilograms. Work out the length of wire, in metres, that has a mass of 900 grams. … m [3] (c) Aluminium is used to make the wire. The mass of 1 cm 3 of aluminium is 2.7 grams. Work out the mass, in grams, of 6000 cm 3 of aluminium. Give your answer in standard form. … g [2] (d) A 12 metre length of wire increases in length to 12.017 metres when its temperature rises. Calculate the percentage increase in the length of the wire. … % [2]

9 marks

Mark scheme: 8(a) 18.65 18.75 2 B1 for each If 0 scored, SC1 for both correct but reversed or 1865  l  1875 8(b) 5.86 or 5.862… 3 900 M2 for  850 oe 130500 OR B1 for a correct conversion 130.5 kg=130500 [g] or 900 g =0.9 [kg] figs 9 or M1 for  850 figs130.5 8(c) 1.62  10 4 cao 2 M1 for 2.7  6000 or their number correctly converted to standard form 8(d) 0.142 or 0.1416 to 0.1417 2 12.017  12 M1 for  100  12  12.017  100  or   1    12  12.017 or  100   100  12

This question in 0580/33 May/June 2023

5 Heidi records the colour of each of 500 cars crossing a bridge. The pie chart shows some of this information. Grey Red Other (a) How many cars are red? … [1] (b) 35 cars are grey. Show, by calculation, that the sector angle for grey is 25.2°. [1] (c) 175 cars are white and 150 cars are black. Complete the pie chart to show this information. [2] (d) Find the probability that a car chosen at random is not grey. Give your answer as a fraction in its simplest form. … [2] (e) Another 320 cars cross the bridge. How many of these 320 cars are expected to be white? … [2] (f) Heidi also records the number of people in each car crossing the bridge for one hour. Number of people Frequency 1 20 2 6 3 0 4 15 5 8 6 12 Calculate the mean. … [3]

11 marks

Mark scheme: 5(a) 125 1 5(b) 35 M1  360 500 5(c) Correct pie chart 2 B1 for 126º or 108º 5(d) 93 2 500 – 35 360 – 25.2 cao M1 for oe or oe 100 500 360 7 If 0 scored, then SC1 for final answer of 100 5(e) 112 2 175 126 M1 for  320 oe or  320 oe 500 360 5(f) 21 3 M1 for (1  20) + (2  6) + [3  0] + (4  15) + 3.34 or 3.344… or 3 61 (5  8) + (6  12) M1dep for their  fx  ( 20 + 6 + 0 + 15 + 8 +12 ) oe

This question in 0580/32 Oct/Nov 2023

1 (a) Tom has a restaurant bill. Soup $ … Pasta $ 13.30 Ice cream $ 4.80 Drinks $ 3.81 Total cost $ 25.40 (i) Complete the bill to show the cost of soup. [2] (ii) Find the cost of drinks as a percentage of the total cost. … % [1] 2 (b) (i) Work out of $2400. 5 $ … [1] (ii) Decrease $3450 by 18%. $ … [2] (c) Amelia invests $14 000 at a rate of 1.6% per year compound interest. Calculate the value of her investment at the end of 5 years. Give your answer correct to the nearest dollar. $ … [3] (d) This conversion graph can be used to change between dollars and Swiss francs. 200 160 120 Swiss francs 80 40 00 40 80 120 160 200 Dollars (i) Use the graph to change (a) $80 to Swiss francs … Swiss francs [1] (b) 108 Swiss francs to dollars. $ … [1] (ii) Explain how you can use the graph to change $360 to Swiss francs. … … [1]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 3.49 2 M1 for 25.4[0] – (13.3[0] + 4.8[0] + 3.81) oe 1(a)(ii) 15 1 1(b)(i) 960 1 1(b)(ii) 2829 2  18  M1 for 3450 ×  1 −  oe  100  or B1 for 621 1(c) 15156 cao 3 5  1.6  M1 for 14000 ×  1 +  oe  100  A1 for 15156.4…, or 15156 or 15160 or 15200 If A0 scored, SC1 for correctly rounding their decimal answer to the nearest dollar 1(d)(i)(a) 72 1 1(d)(i)(b) 120 1 1(d)(ii) Correct explanation, using any correct 1 combination of values between 0 and 200 to reach 360 oe

This question in 0580/33 Oct/Nov 2023

5 (a) Zena records the number of letters she posts on each of 12 days. 3 7 3 8 7 1 0 6 5 1 7 2 (i) Write down the mode. … [1] (ii) Find the median. … [2] (b) Zena posts 6 parcels. • The lightest parcel has a mass of 4.6 kg. • The heaviest parcel has a mass of 6.2 kg. • The other 4 parcels have a mean mass of 5.01 kg. Calculate the mean mass of the 6 parcels. … kg [3] (c) Zena pays 105 euros to post a parcel. The exchange rate is $1 = 0.84 euros. Work out the cost in dollars to post the parcel. $ … [1] (d) The cost to post a box increases from $22.68 to $44. Work out the percentage increase in the cost. … % [2] (e) The diagram shows a parcel in the shape of a cuboid. NOT TO SCALE 3 cm 2 cm 6 cm (i) Complete the net of the parcel on the 1 cm 2 grid. Two faces have been drawn for you. [2] (ii) Find the volume of the parcel. … cm3 [1]

12 marks

Mark scheme: 5(a)(i) 7 1 5(a)(ii) 4 2 M1 for an ordered list of at least the first 7 or last 7 values or B1 for 3 and 5 both identified 5(b) 5.14 3 M2 for (4 × 5.01 + 4.6 + 6.2) ÷ 6 oe or M1 for 4 × 5.01 + 4.6 + 6.2 or B1 for 20.04 5(c) 125 1 5(d) 94 or 94.00… 2 44 − 22.68 M1 for [×100] 22.68  44  or  − 1  [×100]  22.68  44 or ×100 [– 100] 22.68 5(e)(i) Fully correct net 2 B1 for 2 or 3 correct extra faces in correct places 5(e)(ii) 36 nfww 1

This question in 0580/33 Oct/Nov 2023

2 (a) Fuel Fuel Garage A Garage B $1.41 per litre $1.50 per litre (i) Tiya buys 55 litres of fuel from garage A. Work out the change she receives from $100. $ … [2] (ii) Work out how much cheaper it is to buy 20 litres of fuel from garage A than from garage B. $ … [2] (iii) These are the amounts that 6 people spend on fuel at garage A. $63 $84.50 $72.23 $46 $54.10 $80 Calculate the mean number of litres that they buy. … litres [3] (iv) The cost of fuel at garage B increases from $1.50 to $1.53 . Calculate the percentage increase. … % [2] 2(b) The fuel tank of a car is full. 5 It takes 39 more litres of fuel to fill the tank. Work out the number of litres of fuel in a full tank. … litres [3] (c) (i) Use 1 litre = .022 gallons to complete this conversion graph. 30 25 20 Gallons 15 10 5 0 0 10 20 30 40 50 60 70 80 90 100 Litres [2] (ii) Use 1 litre = .022 gallons to complete this statement. 1 gallon = … litres. [1] (d) A cylindrical tank for storing fuel has radius 1.5 metres and height 8 metres. Calculate the volume of the tank in litres. … litres [3]

18 marks

Mark scheme: 2(a)(i) 22.45 2 M1 for 100 − 55 1.41 oe or B1 for 77.55 2(a)(ii) 1.8[0] 2 M1 for (1.50 − 1.41)  20 oe or B1 for 30 and 28.2[0] seen 2(a)(iii) 47.3 or 47.26… 3 M2 for 63 + 84.5 + 72.23 + 46 + 54.10 + 80 oe 6  1.41 or M1 for 63 + 84.5 + 72.23 + 46 + 54.10 + 80 oe 1.41 63 + 84.5 + 72.23 + 46 + 54.10 + 80 or oe 6 2(a)(iv) 2 2 1.53 − 1.50 M1 for  100  oe 1.50 1.53 or  100  −100 oe 1.50  1.53  or  − 1   100  oe  1.50  2(b) 65 3 5 M2 for 39  oe 3 3 or M1 for 39 is equivalent to or for 5 39 3 5 if 0 scored then SC1 for 39  oe 2 2(c)(i) A straight line through (0,0) and (100,22) 2 B1 for a straight line drawn through the origin or for 2 correct points plotted 2(c)(ii) 4.55 or 4.545… 1 2(d) 56500, 56600 or 56540 to 56560…. 3 M2 for  1.5 2 ×8×1000 oe or  150 2 ×800÷1000 oe or M1 for  1.5 2 ×8 oe or  150 2 ×800 oe or B1 for final answer figs 565 to 566 If 0 scored, SC1: for their volume in m3 1000 or for their volume in cm3 1000 or for stating clearly 1m3=1000l or 1000 cm3=1l

This question in 0580/32 Feb/March 2024

8 (a) 120 people teach in a university mathematics department. Some information is shown in the table. Lecturers Professors Total Part-time 11 Full-time Total 120 One fifth of the people are professors. 30% of the people are part-time. Work out the number of full-time lecturers. … [4] (b) % = {children in a school} F = {children who like fruit} V = {children who like vegetables} 24 children like vegetables but do not like fruit. 8 children do not like fruit and do not like vegetables. n ( F + V ) = 9 n ( F ) = 3 # n ( V ) F V … … … … (i) Complete the Venn diagram. [3] (ii) Work out n ( F , V ) . … [1]

8 marks

Mark scheme: 8(a) 71 nfww 4 B3 for 13 and 84 or for 25 and 96 OR B1 for 24 or 96 B1 for 36 or 84 8(b)(i) 3 If answer incorrect can score a maximum of 2 from: F V B1 for 24 and 8 correctly placed 90 9 24 B1 for 9 correctly placed B1FT for their n(F)= 3×their n(V) 8 8(b)(ii) 123 1 B1FT for their n(F V)

This question in 0580/32 Feb/March 2024

1 (a) The cost of a cinema ticket is $6.30 . (i) Work out the total cost of 4 tickets. $ … [1] (ii) The cinema sells 10 tickets for the price of 9 tickets. A group of 10 people go to the cinema. Work out how much each person must pay. $ … [2] (b) The cinema has 650 seats. (i) There are 26 seats in each row. Work out the number of rows. … [1] (ii) 84% of the seats are occupied. Work out how many seats are not occupied. … [2] (c) Suki buys a bag of popcorn and a bottle of water. A bag of popcorn costs twice as much as a bottle of water. She receives $3.55 change from $10. Work out the cost of a bag of popcorn and the cost of a bottle of water. Bag of popcorn $ … Bottle of water $ … [3] (d) (i) A film lasts for 155 minutes. Write 155 minutes in hours and minutes. … hours … minutes [1] (ii) Another film starts at 14 45 and lasts for 2 hours and 20 minutes. Work out the time that this film finishes. … [1] (e) The table shows the hours that Trevor works in the cinema each week. Monday No hours Tuesday No hours Wednesday 18 00 to 22 00 Thursday 18 00 to 22 00 Friday 12 00 to 17 30 Saturday 12 00 to 17 30 Sunday 13 00 to 18 00 Trevor is paid $11.50 per hour for the time he works before 18 00. He is paid 30% more for the time he works after 18 00. Work out how much Trevor is paid each week. $ … [4]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 25.2[0] 1 1(a)(ii) 5.67 2 M1 for 9  6.3   10  oe 1(b)(i) 25 1 1(b)(ii) 104 2  84  M1 for 650   1   oe  100  or B1 for 546 1(c) 4.3[0] 2.15 3 B2 for 4.3[0] or 2.15 in correct place or for both correct in the reverse order. 10  3.55 or M1 for k  oe k  1 or 2 3 1(d)(i) 2 [hours] 35 [minutes] 1 1(d)(ii) 1705 1 1(e) 303.6[0] 4 M3 for (4+4+5.5+5.5+5)×11.5 30 + (4+4)× (  11.5 ) oe 100 OR B2 for 59.8 (or 119.6) or 63.25 (or 126.5) or 57.5 or 184 or 276 or 27.6 seen OR M1 for 4 + 4 + 5.5 + 5.5 + 5 oe or 4 + 4 oe and 5.5 + 5.5 + 5 oe and 30 M1 for  11.5 oe 100  30  or  1    11.5 oe  100 

This question in 0580/31 May/June 2024

2 (a) Chen asks some people if they prefer a beach, cruise, lake or mountain holiday. The pie chart shows the results. Mountain Beach 120° 135° 75° 30° Lake Cruise (i) Find the fraction of people who prefer a mountain holiday. Give your answer in its simplest form. … [2] (ii) Find the percentage of people who prefer a beach holiday. … % [1] (iii) Find the ratio of people who prefer each type of holiday in the form beach : cruise : lake : mountain. Give your answer in its simplest form. … : … : … : … [2] (iv) One person is chosen at random. Find the probability that this person prefers a cruise or a lake holiday. … [2] (v) 675 people prefer a beach holiday. Show that the total number of people Chen asks is 1800. [1] (vi) (a) Complete the table. Type of holiday Pie chart sector angle Frequency Beach 135° 675 Cruise 30° 150 Lake 75° Mountain 120° [2] (b) Complete the bar chart, including the scale on the frequency axis. Frequency 0 Beach Cruise Lake Mountain [3] (b) Mr Gibb pays $2208 for a holiday. Mr Shah pays 2050 euros for the same holiday. The exchange rate is 1 euro = $1 .15 . Work out how much more, in euros, Mr Shah pays for the holiday than Mr Gibb. … euros [2]

15 marks

Mark scheme: 2(a)(i) 1 2 120 cao M1 for oe 3 360 2(a)(ii) 37.5 1 2(a)(iii) 9 : 2 : 5 : 8 cao 2 B1 for 135 : 30 : 75 : 120 or better 2(a)(iv) 105 2 75  30 oe M1 for oe 360 360 2(a)(v) 675  360 1   1800  135 2(a)(vi)(a) 375 2 B1 for each 600 2(a)(vi)(b) A correct bar chart drawn with 3 B1 for an appropriate linear scale written linear scale labelled. with at least 2 more numbers. AND B2FT their table for 4 bars drawn correctly or B1FT their table for two or three bars drawn correctly 2(b) 130 2 2208 2050  1.15  2208 M1 for oe or oe 1.15 1.15

This question in 0580/31 May/June 2024

3 (a) Here is part of the timetable for trains from Hinton to Jarmouth. All trains take the same time to travel from Hinton to Jarmouth. Hinton 10 47 … Jarmouth 11 15 12 35 (i) Complete the timetable. [2] (ii) Marge arrives at Hinton station exactly 20 minutes before the 10 47 train leaves. 12 11 1 10 2 9 3 8 4 7 5 6 Complete the clock diagram to show the time she arrives at Hinton station. [1] (b) Each day, a bus leaves Texford to travel to Cranbrook every 45 minutes. The first bus leaves Texford at 07 10. The last bus leaves Texford at 22 10. Work out the number of buses that travel from Texford to Cranbrook each day. … [3] (c) The cost of a bus pass increases every year. On 1st January 2022 a bus pass costs $50. On 1st January 2023 the cost of the bus pass increases by 10%. On 1st January 2024 the cost of the bus pass increases by 5%. Calculate the cost of the bus pass on 1st January 2024. $ … [3] (d) The Venn diagram shows information about the number of workers in a hotel who travel to work by bus (B) and train (T). B T 31 9 85 107 (i) Work out the number of workers in the hotel. … [1] (ii) Work out n ( B , T ) . … [1] (iii) Explain in words what the number 85 in the Venn diagram represents. … [1] (iv) One of the workers is chosen at random. Find the probability that this worker travels to work by bus and train. … [1] (e) The hotel has single and double bedrooms in the ratio single | double = 3 | 8 . There are 75 more double rooms than single rooms. Work out the number of single rooms. … [2]

15 marks

Mark scheme: 3(a)(i) 12 07 2 B1 for 1 [hour] 20 [min] or 80[min] or 28 [min] seen 3(a)(ii) 10 27 drawn correctly on clock 1 face. 3(b) 21 3 B2 for 20 as final answer 22:10  07:10 or M2 for  60 oe 45 or M1 for  22:10  07:10   60 oe 3(c) 57.75 3  10  5  M2 for 50   1   1   oe  100  100  or B2 for 1.155  10  or M1for 50   1   oe  100   5  or 50   1   oe  100   5  or their 55   1   oe  100   10  5  or  1   1   oe  100  100  3(d)(i) 232 1 3(d)(ii) 125 1 3(d)(iii) The number of workers who travel 1 to work by train but who do not travel on a bus oe. 3(d)(iv) 9 1 FT their 3(d)(i) in denominator. oe 232 3(e) 45 2 75 M1 for  k oe k  1, 3, 8 8  3

This question in 0580/31 May/June 2024

4 The stem-and-leaf diagram shows the ages of the 16 workers in a shop on 1st January 2022. 2 3 5 7 3 4 6 6 6 9 4 1 1 7 5 0 7 7 8 6 1 Key: 2 5 represents 25 (a) (i) Work out the range. … [1] (ii) Write down the mode. … [1] (iii) Work out the median. … [1] (iv) Work out the percentage of workers that are older than 40 but younger than 60. … % [2] (b) On 1st January 2023 the shop has the same 16 workers. Write down the range, the mode and the median on 1st January 2023. Range … Mode … Median … [2] (c) On 1st January 2024 the oldest worker leaves. His replacement is a new worker born on 12th November 1970. There are no other changes to the workers. Complete the stem-and-leaf diagram for 1st January 2024. 2 5 7 9 3 6 8 8 8 4 5 6 Key: 2 5 represents 25 [2] (d) The shop owner is x years old. x is a prime number. x + 2 is a square number. x - 2 is a multiple of 9. Find the value of x. x = … [2]

11 marks

Mark scheme: 4(a)(i) 38 1 4(a)(ii) 36 1 4(a)(iii) 40 1 4(a)(iv) 43.75 2 7 M1 for 16 their 7 or correctly converted to a %. 16 4(b) 38 2 FT their (a)(i), (a)(ii) + 1, (a)(iii) + 1 37 B1FT for one or two correct 41 4(c) 2 B1 for 53 seen 2 [5 7 9] or for stem and leaf with no more than 2 errors or omissions. 3 [6 8 8 8] 4 1 3 3 9 5 2 3 9 9 6 0 4(d) 47 2 B1 for a final answer satisfying 2 of the 3 conditions.

This question in 0580/31 May/June 2024

7 The area of some land is in the ratio park : gardens : playground = 11 : 2 : 3. The park has an area of 4620 m 2. (a) Work out the area of the gardens and the area of the playground. Gardens … m2 Playground … m2 [3] (b) The park area of 4620 m 2 is made up of paths and grassland. 18% of the park area is paths. (i) Show that the grassland area is 3788.4 m 2. [1] (ii) Seed for the grassland is sold in bags. The seed in one bag covers an area of 280 m 2. The bags cost $72 each for the first 5 bags and then $58 each for any extra bags. Calculate the cost of the seed needed to cover the grassland. $ … [4] (c) The owners of the land buy new equipment for the playground. They borrow $8500 for 4 years at a rate of 6.5% per year compound interest. Calculate the amount they repay at the end of the 4 years. Give your answer correct to the nearest dollar. $ … [3] (d) The café in the park sells water in bottles A, B and C. NOT TO SCALE Bottle A Bottle B Bottle C 330 ml 500 ml 750 ml $1.98 $3.20 $5.10 Work out which bottle is the best value. You must show all your working. Bottle … [3]

14 marks

Mark scheme: 7(a) 840 3 B2 for 1 correct answer in correct place 1260 or answers reversed or M1 for 4620 ÷ 11 × k (k = 1, 2, or 3) 7(b)(i) (100  18) M1 18  4620 accept 4620 –  4620 100 100 18 or 4620 ( 1 – ) 100 7(b)(ii) [$]882 4 B3 for 854.74, 853, 824 OR M3 for 5 × 72 + (their 14 – 5) × 58 oe or B2 for 14 [bags] or M1 for 3788.4 ÷ 280 OR M3 for 5 × 72 + (their 9 ) × 58 oe or B2 for 9 [bags] or M1 for (3788.4 – 5  280) ÷ 280 oe OR if 0 scored SC2 for 1056 or SC1 for 1027 or 998 7(c) [$]10935 cao 3 4  6.5  M1 for 8500 × 1  oe    100  A1 for 10934.96…… If A0 scored SC1 for their answer correct to at least 1 decimal place correctly rounded to nearest whole number. 7(d) A 3 With correct comparisons made of the 3 M2 for 3 correct comparable values bottles with suitable accuracy shown or for a correct method to compare 3 bottles shown but not evaluated to enough accuracy. or M1 for 2 correct comparable values or for a correct method to compare 3 bottles but incorrect or not evaluated.

This question in 0580/32 May/June 2024

3 Jack does a survey about cycling. (a) The bar chart shows the percentage of people in each age group who use a bicycle. 100% 80% 60% Percentage of people 40% 20% 0% 0–9 10–19 20–29 30–39 40–49 50–59 60–69 70+ Age in years (i) Write down the percentage of people aged 60 to 69 who use a bicycle. … % [1] (ii) 980 people in the survey are in the 30–39 age group. Work out how many of these people use a bicycle. … [2] (b) Jack makes 18 cycling trips in one year. Each cycling trip lasts 23 minutes. Find the total time Jack spends cycling in this year. Give your answer in hours and minutes. … h … min [2] (c) The table shows where 240 people cycle the most. Pie chart Number of people sector angle Roads 84 126° Cycle paths 72 Parks 48 Other 36 (i) Complete the table. [2] (ii) Complete the pie chart to show this information. Roads 126° [2] (d) A bicycle costs $720. Carlo pays one-fifth of the cost as a deposit. He pays the rest of the money in equal monthly payments of $16. Work out how many monthly payments Carlo makes. … [3]

12 marks

Mark scheme: 3(a)(i) 30 1 3(a)(ii) 392 2 40 M1 for  980 oe 100 3(b) 6 hours 54 mins 2 M1 for 18 × 23 oe 3(c)(i) 108 2 B1 for 1 correct angle in correct place 72 or M1 for 126[k ] where k = 1, 72, 48 54 84 or 36 or for 360[m ] where m = 1, 72, 48 or 36 240 3(c)(ii) Correct pie chart 2 FT their table if angles add up to 360 B1FT for one sector drawn correctly 3(d) 36 nfww 3  4  M2 for   720   16 oe  5  4 720 or M1 for  720 or oe 5 5 or k ÷ 16 , k ≠ 720

This question in 0580/31 Oct/Nov 2024

6 (a) This is a recipe to make ice cream for 6 people. 270 ml cream 270 ml milk 100 g sugar 4 egg yolks Tom makes ice cream for 10 people. (i) Work out how much milk he uses. … ml [2] (ii) The mass of all the ingredients Tom uses is 1100 g. After Tom heats the mixture, this mass reduces by 15%. Find the mass of the mixture after heating. … g [2] (iii) Tom lets the mixture cool to 5°C. He then puts it into a freezer to cool to -18°C. Find the difference in these temperatures. … °C [1] (b) (i) In a factory, a machine fills 25 920 tubs of ice cream in 8 hours. Work out the number of tubs the machine fills in 1 minute. … [1] (ii) A pack of ice cream contains 6 tubs. There are 120 packs on a tray. There are 24 trays on a truck. Work out how many tubs of ice cream are on the truck. … [1] (c) Mario sells ice creams in five flavours. The table shows the relative frequency of some of the ice cream flavours Mario sells. Vanilla Chocolate Strawberry Coconut Banana Relative 0.34 0.18 0.12 frequency Mario sells three times as many chocolate ice creams as banana ice creams. (i) Complete the table. [3] (ii) One week Mario sells 450 ice creams. Find how many strawberry ice creams Mario expects to sell. … [1] (iii) The probability that any customer is an adult is 0.7 . First customer Second customer Adult 0.7 Adult 0.7 … Child Adult 0.7 … Child … Child (a) Complete the tree diagram. [1] (b) Find the probability that the first two customers are adults. … [2]

14 marks

Mark scheme: 6(a)(i) 450 2 M1 for 270[10] oe 6 6(a)(ii) 935 2  15  M1 for 1100 ×  1 −  oe  100  or B1 for 165 6(a)(iii) 23 1 6(b)(i) 54 1 6(b)(ii) 17 280 1 6(c)(i) 0.27 oe 3 B2 for either 0.27 oe or 0.09 oe in any 0.09 oe position in the table or M1 for 1 – ( 0.34 + 0.18 + 0.12) oe or better 6(c)(ii) 81 1 6(c)(iii)(a) Correct complete tree diagram: 1 0.3 0.3 0.3 6(c)(iii)(b) [0].49 oe 2 M1 for [0].7 × [0].7 oe

This question in 0580/31 Oct/Nov 2024

1 (a) Onions cost $1.85 per kilogram and potatoes cost $2.34 per kilogram. Sophie buys 2.4 kg of onions and 4.5 kg of potatoes. Work out how much change she receives from $20. $ … [3] (b) Sophie gets on a bus at 10 47 and she gets off the bus 36 minutes later. Work out the time she gets off the bus. … [1] (c) Sophie uses two-thirds of a litre of milk each day. Milk is sold in 2-litre bottles. Show that she needs at least 3 bottles to have enough milk for 7 days. [2] (d) One month, Helen sells phones and computers in the ratio number of phones : number of computers = 3 : 5. She sells 40 computers. Work out how many phones she sells. … [2] (e) In 2022 Helen sells 520 phones. In 2023 she sells 35% more phones than in 2022. Calculate the number of phones she sells in 2023. … [2] (f) A television costs $840 in the USA. The same television costs 3549 ringgits in Malaysia. The exchange rate is $1 = 4.2 ringgits. In which country is the television cheaper and by how many dollars? Cheaper in … by $ … [2]

12 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 5.03 3 B2 for 14.97 OR M2 for 20 – (2.4 × 1.85 + 4.5 × 2.34) oe or M1 for 2.4 × 1.85 or 4.5 × 2.34 soi 1(b) 11 23 1 1(c) Accept any correct method M1 2 2 14 Alt. method 2 ÷ = 3 [days] e.g. 7 3 = 3 3 e.g. their 143  2 = 73 [bottles] A1 1 Alt. method 7 ÷3 = 2 so 3 [bottles 1 3 2 so 3 [bottles needed] needed] 3 1(d) 24 nfww 2 40 M1 for [×k] , where k is 1,3 or 8 oe 5 1(e) 702 2 M1 for 520 × (1 + 10035 ) oe OR B1 for 182 1(f) USA 5 2 M1 for 3549 ÷ 4.2 oe or (3549 – (840 × 4.2)) ÷ 4.2 oe

This question in 0580/32 Oct/Nov 2024

7 (a) % = {students in a group} M = {students who pass the mathematics test} S = {students who pass the science test} 142 students are in the group. 105 students pass the mathematics test. 82 students pass the mathematics test and pass the science test. 17 students do not pass the mathematics test and do not pass the science test. M S (i) Complete the Venn diagram. [2] (ii) Find n ( M , S ). … [1] (iii) One of these students is picked at random. Find the probability that this student passes the science test but does not pass the mathematics test. … [1] (b) A B Use set notation to describe the shaded region. … [1] (c) In a town, the number of students, n, who take the science test is 10 600, correct to the nearest hundred. Complete this statement about the value of n. … G n 1 … [2] (d) The table shows the number of students in another town who took the science test in 2022 and 2023. Year 2022 2023 Number of students 15 800 17 064 Calculate the percentage increase in the number of students from 2022 to 2023. … % [2] (e) The number of students who took the mathematics test in 2022 is 18 400. The ratio number of students who passed : number of students who did not pass is 4 : 1. Work out the number of students who passed. … [2]

11 marks

Mark scheme: 7(a)(i) 2 B1 for 2 or 3 numbers in the correct places 7(a)(ii) 125 1 FT their diagram with one value in each of the 3 regions of M and S, providing total <142 7(a)(iii) 20 1 their 20 oe FT providing their 20 < 142 142 142 7(b) A ∩ B 1 7(c) 10 550 10 650 2 B1 for one correct or SC1 for both correct and reversed 7(d) 8 nfww 2 17 064 − 15 800 M1 for [× 100] 15 800  17 064  or  − 1  [× 100]  15 800  17 064 or  100 [- 100] oe 15 800 7(e) 14 720 2 18400 M1 for [× k] (where k = 1 or 4) oe 1 + 4

This question in 0580/32 Oct/Nov 2024

6 (a) 8 m NOT TO SCALE 11 m 6 m 15 m The diagram shows a plan of Zak’s garden. Find the perimeter of the garden. … m [2] (b) Zak records the temperature in his garden each night for one week. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 4 °C 1 °C -2 °C 2 °C -5 °C 3 °C -4 °C (i) Which night was coldest? … [1] (ii) Find the difference in temperature between Friday night and Saturday night. … °C [1] (c) Zak buys pea plants, bean plants and sunflower plants in the ratio peas : beans : sunflowers = 7 : 5 : 2. He buys 45 bean plants. Show that the total number of plants he buys is 126. [2] (d) Zak has a water barrel. On Monday the barrel contains 120 litres of water. On Friday the barrel contains 43.2 litres of water. Calculate the percentage decrease of the water in the barrel. … % [2] (e) Zak drives to a shop. 1 The journey takes 1 hours. 4 He drives at an average speed of 57 km/h. Calculate the distance he drives. … km [2] (f) Machine hire charges 1st day $22.60 Each additional day $11.80 Zak pays $69.80 to hire a machine. Calculate the number of days he hires it for. … days [3]

13 marks

Mark scheme: 6(a) 52 2 M1 for 15 – 8 and 11 – 6 or 2 × 11 + 2 × 15 oe or 11 + 8 + (11 − 6 ) + (15 − 8 ) + 6 + 15 oe 6(b)(i) Thursday 1 6(b)(ii) 7 1 6(c) 45 ÷ 5 × (7 + 5 + 2) [=126] M2 M1 for 45 ÷ 5 6(d) 64 2 120 − 43.2 M1 for [×100] 120 43.2 or [100−] ×100 120  43.2  or  1 −  [×100]  120  6(e) 71.25 2 M1 for their time × 57 oe 6(f) 5 nfww 3 69.80 – 22.60 M2 for oe 11.80 or M1 for 69.80 – 22.60 or 22.60 + 11.80 + 11.80 +. or better

This question in 0580/33 Oct/Nov 2024

4 30 31 32 33 34 35 36 37 38 39 From this list, write down the number that is (a) a multiple of 13 … [1] (b) a factor of 140 … [1] (c) the largest prime number … [1] (d) divisible by an even cube number … [1] (e) 20% of 190. … [1]

5 marks

Mark scheme: 4(a) 39 1 4(b) 35 1 4(c) 37 1 4(d) 32 1 4(e) 38 1

This question in 0580/32 Feb/March 2025

18 (a) Clare invests $12 000 for 3 years at a rate of 8% per year compound interest. Calculate the value of her investment at the end of the 3 years. Give your answer correct to the nearest $10. $ … [3] (b) Zak invests $560 for one year. After one year his investment is worth $630. Calculate the percentage increase. … % [2]

5 marks

Mark scheme: 18(a) 15 120 3 B2 for 15100, 15110 or 15116 to 15117 OR  8 3 M1 for 12000  1 + oe    100  B1 for rounding their seen answer correct to the nearest 10 18(b) 12.5 2 630 − 560 M1 for 100  oe 560 630 or 100  −100  oe 560  630   100  oe or  − 1    560 

This question in 0580/32 Feb/March 2025

22 (a) Anil invests $2000 and Baz invests $7500. Write the ratio money invested by Anil : money invested by Baz in its simplest form. … : … [1] (b) Kamil and Lavik share some money in the ratio Kamil : Lavik = 5 : 9. Lavik receives $72 more than Kamil. Calculate the total amount of money they share. $ … [2] (c) Vanisha invests $4000 for 5 years at a rate of 3.5% per year compound interest. Calculate the total interest earned during the 5 years. $ … [3]

6 marks

Mark scheme: 22(a) 4 : 15 cao 1 22(b) 252 cao 2 72 M1 for × k, k = 1, 5, 9 or 14 oe 9 − 5 22(c) 751 or 750.7… 3 B2 for 4750 or 4751 or 4750.7… 3.5 5 or M2 for 4000  (1 + 100) − 4000 oe 3.5 5 or M1 for 4000  (1 + ) oe 100

This question in 0580/31 May/June 2025

23 The population of an island increases from 18 400 to 19 780. Calculate the percentage increase. … % [2]

2 marks

Mark scheme: 23 7.5 2 19 780 − 18 400 M1 for [× 100] oe 18 400 19 780 or × 100 [– 100] oe 18 400 780 or (19 – 1) [× 100] oe 18 400

This question in 0580/31 May/June 2025

5 A student scores 58 out of 80 in a test. Calculate their percentage score. … % [1]

1 marks

Mark scheme: 5 72.5 1

This question in 0580/32 May/June 2025

6 Calculate 57% of 45. … [2]

2 marks

Mark scheme: 6 25.65 2 57 M1 for  45 oe 100

This question in 0580/32 May/June 2025

13 In May a shop makes a profit of $542. In June the shop makes a profit of $600. (a) Calculate the percentage increase in the profit from May to June. … % [2] 2 (b) The shop gives of the profit from May to a charity. 5 Find the amount the shop gives to the charity. $ … [1] (c) The shop spends 38% of the profit from June on a fridge. Find the amount the shop spends on the fridge. $ … [1]

4 marks

Mark scheme: 13(a) 10.7 or 10.70… 2 600 − 542 M1 for 100  oe 542  600  or   100   −100  oe  542   600  or  − 1   100  oe  542  13(b) 216.8[0] 1 13(c) 228 1

This question in 0580/33 May/June 2025

11 (a) Naz pays $76.25 per day to hire a car. He hires this car for 7 days. He also pays $146 for fuel. Calculate the total amount Naz pays. $ … [2] (b) Li pays $1400 to hire a car. $364 of this is insurance. Calculate the insurance as a percentage of the $1400. … % [1]

3 marks

Mark scheme: 11(a) 679.75 cao 2 M1 for 76.25 × 7 + 146 oe or B1 for 533.75 11(b) 26 1

This question in 0580/31 Oct/Nov 2025

19 Jo invests $500 at a rate of 2% per year compound interest. Calculate the amount of interest earned at the end of 7 years. $ … [3]

3 marks

Mark scheme: 19 74.3 or 74.34… 3 B2 for 574 or 574.3…  2  7 or M2 for 500  1 +  - 500 oe  100   2  7 or M1 for 500  1 +  oe  100 

This question in 0580/31 Oct/Nov 2025

12 The table shows the results of a survey about the colour of 90 cars in a car park. Colour of car Frequency Pie chart sector angle Black 16 White 34 Other 40 (a) Complete the table. [2] (b) Complete the pie chart. [2]

4 marks

Mark scheme: 12(a) 64 2 B1 for 1 correct 136 160 360 or M1 for × k (k = 1, 16, 34 or 40) oe 90 12(b) Accurate pie chart 2 B2FT if their angles add up to 360° or B1FT for one correct sector or one correct FT sector (may or may not add up to 360°)

This question in 0580/32 Oct/Nov 2025

14 (a) Ada works from Monday to Friday. Her working hours each day are 08 00 to 12 30 and 13 30 to 17 00. Find the number of hours she works in 5 days. … hours [2] (b) Ada is paid $15.20 per hour. Work out her pay for these 5 days. $ … [1] 1 (c) On Saturday she is paid 1 times her normal hourly rate. 2 Work out her hourly rate of pay for Saturday. $ … [1] (d) Ada changes 370 euros into dollars. The exchange rate is $1 = 0.925 euros. Work out the amount she receives. $ … [1]

5 marks

Mark scheme: 14(a) 40 2 1 1 B1 for 8 or 22 or 17 2 2 if 0 scored SC1 for 45 as final answer 14(b) 608 1 FT their (a) × 15.20 correct to at least 3sf 14(c) 22.8[0] 1 14(d) 400 1

This question in 0580/32 Oct/Nov 2025

16 Find 57% of $128. $ … [1]

1 marks

Mark scheme: 16 72.96 1

This question in 0580/32 Oct/Nov 2025

22 NOT TO SCALE 16 m 10 m The diagram shows a garden. The garden has a circular pond and the shaded area is grass. The width of the grass area is equal to the diameter of the pond. (a) Find the area of the pond. … m2 [2] (b) Find the area of the grass. … m2 [2] (c) Find the percentage of the garden that is grass. … % [2]

6 marks

Mark scheme: 22(a) 78.5 or 78.6 or 78.53 to 78.55 2 2  10  M1 for π ×   oe  2  22(b) 121 or 120.7 to 120.8 2 FT 1 M1FT for 10 × 16 − × their (a) oe 2 22(c) 60.4 to 60.8 2 their ( b ) M1FT for [100] oe 1 10  16 + their ( a ) 2 their ( b ) or [100] oe their ( b ) + their ( a )

This question in 0580/32 Oct/Nov 2025

28 Ali invests $2950 in an account paying 12% compound interest. Bob invests $3000 in an account paying 12% simple interest. Show that after 3 years Ali has a larger investment than Bob. [5]

5 marks

Mark scheme: 28 For showing Ali and Bob’s final 5 B2 for final value of the compound interest investment values to compare investment for comparison e.g. 4140 or 4144 to 4145 e.g. 4140 or 4144 to 4145 and 4080 e.g.174000 or 174449 to 174450 e.g. 174000 or 174449 to 174450 and 15960 12 k or M1 for 2950 × (1 + ) 100 where k = 3, 12, 36 or a time frame clearly shown in the working. AND B3 for final value of the total simple interest investment for comparison e.g. 4080 e.g.15960 or B2 for value of simple interest e.g.1080 e.g.12960 3000 12 k or M2 for 3000 + oe 100 where k = 3, 12, 36 or a time frame clearly shown in the working. 3000 12 k  or M1 for oe 100 where k = 3, 12, 36 or a time frame clearly shown in the working.

This question in 0580/32 Oct/Nov 2025

11 Calculate 19% of $46.25 . Give your answer correct to the nearest cent. $ … [2]

2 marks

Mark scheme: 11 8.79 cao 2 19 M1 for × 46.25 oe 100 or B1 for correctly rounding their more accurate answer

This question in 0580/33 Oct/Nov 2025

23 (a) Jo buys a candle for $3.20 . She sells the candle for $4.64 . Find the percentage profit on the candle. … % [2] (b) The candle is in the shape of a cone. The volume of the candle is 900 cm3. The height of the candle is 8 cm. Calculate the radius of the candle. … cm [3]

5 marks

Mark scheme: 23(a) 45 2 4.64 −3.2 M1 for [×100] oe 3.2 4.64 or ×100[–100] oe 3.20 4.64 or – 1 [×100] oe 3.20 23(b) 10.4 or 10.36… 3 900  3 M2 for oe 8π or 900  3 M1 for [r2 =] oe 8π 1 2 or for 900 = πr  8 oe and a correct first 3 step

This question in 0580/33 Oct/Nov 2025