Money — Paper 3 · IGCSE Mathematics 0580

2 Marguerite earns $336 per month. For She divides her earnings between bills, food, savings and personal spending. Examiner's Use (a) Her bills take 2 of her earnings. 7 Show that $240 is left for her other items. Answer(a) [2] (b) She divides the $240 between food, savings and personal spending in the ratio 5 : 3 : 4. Calculate how much she spends on food. Answer(b) $ [2] (c) She saves the same amount each month. Show that she saves $720 in one year. Answer(c) [2] (d) She invests the $720 in a bank which pays 6% per year compound interest. How much will this be worth after 2 years? Answer(d) $ [3]

9 marks

Mark scheme: 2 5 2 (a) 336 − × 336 or × 336 M1 7 7 (=) 240 E1 240 must be seen for this mark (b) 5 ÷ their(5 + 4 + 3) × 240 M1 100 A1cao www 2 1 3 (c) 3 ÷ their(5 + 4 + 3) × 240 × 12 M1 Allow 2880 for 240 × 12 and for . 4 12 (=) 720 E1 720 must be seen for this mark (d) 720 × 1.06 2 oe M2 Implied by 88.99(2) or 89(total interest)seen M1 for 720 × 1.06 (implied by 763.2 seen) 808.99(2) or 809 A1 SC1 for 806.(4) (Simple Interest) www 3 for 808.99(2) or 809 [9] IGCSE – May/June 2007 0580/0581 03 1

This question in 0580/31 May/June 2007

1 (a) Roberto owns 6000 square metres of land. For He divides it between himself and his two children, Stefano and Tania, in the ratio Examiner's Use Roberto : Stefano : Tania = 7 : 5 : 3. (i) Show that Roberto now has 2800 square metres of land. Answer(a)(i) [2] (ii) Calculate the area of land that Stefano and Tania each have. Answer(a)(ii) Stefano m2 Tania m2 [2] (b) Roberto receives a rent of $1.40 per month for each square metre of his land. (i) Calculate the rent he receives in one year from his 2800 square metres of land. Answer(b)(i) $ [2] 3 (ii) Roberto uses of this amount to buy more land. 5 Calculate the amount that he uses to buy more land. Answer(b)(ii) $ [2] (c) Stefano builds a house on his land. For He borrows $5000 from a bank at 8% per year simple interest. Examiner's Find the total amount of interest he will have paid at the end of 3 years. Use Answer(c) $ [2] (d) Tania sells her land for $12 000. She invests the money for 3 years at 6% per year compound interest. Calculate the total amount of money she will have at the end of the 3 years. Give your answer to the nearest dollar. Answer(d) $ [4]

14 marks

Mark scheme: Qu Answers Mark Part marks 1 (a) (i) 6000 ÷ (7 + 5 + 3) 1 M1 6000 ÷ clear attempt at total Multiply by 7 1 M1 Dependent on first mark. (ii) (Stephano) 2000 www 1 Must be clearly Stephano. (Tania) 1200 www 1 Must be clearly Tania. (b) (i) ($)47040 2 M1 1.40 × 12 × 2800 (ii) ($)28224 2ft M1 3 × ‘47040’ or 0.6 × ‘47040’ 5 (c) ($)1200 2 M1 5000 × 8 × 3 ÷ 100 SC1 for final answer 6200 (d) ($) 14292 4 M2 12000 × (1.06)3 Or M1(12000+12000 × 0.06) × 0.06 M1 dep. Correct method for the next 2 years A1cao ($)14292(.19(2)) W1ft Their answer rounded to the nearest dollar. If M0 then maximum SC2 for ($) 2292 or SC1 for ($) 2292.2 or ($) 2292.19(2) or ($) 2300 IGCSE – May/June 2009 0580, 0581 03 2 (a) One-third of 360 oe 1

This question in 0580/31 May/June 2009

8 In this question give all your answers to 2 decimal places. Examiner's Use (a) Ankuri lends her brother $275 for 4 years at a rate of 3.6% per year simple interest. Calculate the total amount her brother owes after 4 years. Answer(a) $ [3] (b) Monesh invests $650 in a bank which pays 4% per year compound interest. Calculate the amount Monesh will have after 2 years. Answer(b) $ [3] (c) Theresa and Ian have 400 euros (€) each. (i) Theresa changes her €400 for pounds (£) when the exchange rate is €1= £ 0.7857. Calculate the amount she receives. Answer(c)(i) £ [2] (ii) Ian changes his €400 for dollars ($) when the exchange rate is $1= € 0.6374. Calculate the amount he receives. Answer(c)(ii) $ [3]

11 marks

Mark scheme: 275 × 4 × 6.3 8 (a) 314.60 3 M1 for or 39.6 100 M1 dep for their interest added to 275 (b) 703.04 3 M2 for 650 × 1.042 or M1 for 650 × 1.04 oe (implied by 676) and M1 dep for second year (c) (i) 314.28 2 M1 for 400 × 0.7857 (ii) 627.55 or 627.54 3 M1 for 400 ÷ 0.6374 soi A1 627.54…, 628, 627.5 B1 indep for their visible answer corrected to 2dp Penalise accuracy only once in the question

This question in 0580/31 May/June 2010

11 Roberto earns a total of $p per week. For He works for t hours each week and is paid a fixed amount per hour. Examiner's He also receives a bonus of $k every week. Use The formula for p is p = 8t + k. (a) Write down how much Roberto is paid per hour. Answer(a) $ [1] (b) (i) Find how much Roberto earns in a week when he works for 40 hours and his bonus is $35. Answer(b)(i) $ [2] (ii) Find how many hours Roberto works in a week when he earns $288 and his bonus is $24. Answer(b)(ii) h [3] (c) Make t the subject of the formula. Answer(c) t = [2]

8 marks

Mark scheme: 11 (a) 8 1 (b) (i) 355 2 M1 for 8 × 40 + 35 seen or better ( 288 − 24) (ii) 33 3 M2 for 8 or B1 for 264 seen p − k (c) t = 2 B1 mark for a correct step 8

This question in 0580/31 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

4 (a) Using the exchange rates For Examiner's $1 = 0.70 Euros and $1 = 90 Yen Use change (i) $100 to Euros, Answer(a)(i) Euros [1] (ii) 100 Yen to dollars. Answer(a)(ii) $ [2] (b) Tania went on holiday to Switzerland. The exchange rate was $1 = 1.04 Swiss francs (CHF). She changed $1500 to Swiss francs and paid 1% commission. (i) How much commission, in dollars, did she pay? Answer(b)(i) $ [1] (ii) Show that she received CHF 1544.40. Answer (b)(ii) [2] (c) Tania spent CHF 950 on her holiday. She converted the remaining Swiss francs back into dollars. She paid CHF 10 to make the exchange. Calculate the amount, in dollars, Tania received. Answer(c) $ [3]

9 marks

Mark scheme: 4 (a) (i) 70 cao 1 1 (ii) 1.11(11…) 2 B1 for 100 ÷ 90, 10 ÷ 9, 1 9 (b) (i) 15 cao 1 (ii) (1500 – 15) × 1.04 2 B1 for × 1.04, 1560, 15.60 (c) 561.92 3 M1 for 1544.40 – 950 – 10 (584.40) oe M1 indep for ÷ 1.04 4 rise

This question in 0580/31 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

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 Adam owns a farm. For Examiner′s Use (a) He plans to keep twenty hens. He works out what he thinks this will cost. Complete the following table. Item Cost ($) Equipment 500 20 hens costing $12 each 3 years supply of feed costing $25 per month TOTAL [3] (b) The equipment actually costs $600. The ratio of costs is equipment : hens : feed = 5 : 3 : 9 . (i) Show that the total cost is now $2040. Answer(b)(i) [2] (ii) Adam actually buys more than 20 hens, each costing $12. How many hens does he buy? Answer(b)(ii) … [2] (c) Adam makes $2920 from selling his hens’ eggs. For Examiner′s Use Calculate his percentage profi t on the $2040. Answer(c) … % [2] (d) Adam borrows $1500 for 3 years at a rate of 5.5% per year compound interest. Calculate the interest he will pay, correct to the nearest cent. Answer(d) $ … [3] _____________________________________________________________________________________

12 marks

Mark scheme: Qu. Part Answers Mark Part Marks 1 (a) 240 900 1,1 [Total] 1640 1FT 500 + their 2 costs (b) (i) 600 ÷ 5 × 17 M2 M1 for 600 ÷ 5 or 17 ÷ 5 (ii) 30 2 M1 for 2040 ÷ 17 × 3 Or 120 × 3, soi by 360 2920 − 2040 (c) 43.1 2 M1 for × 100 oe 2040 2920 or ( − )1 × 100 oe 2040 2920 or × 100 − 100 oe 2040 (d) 261.36 cao 3 M1 for 1500 × 1.0553 oe M1FT for their 1761.36 – 1500 If only 1 scored SC1 for correctly rounding to 2 decimal places from at least 3 decimal places SC2 if only 1761.36 seen

This question in 0580/33 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

3 The Wong family spend the day at the zoo. (a) The Wong family has 2 adults and 3 children aged 2, 5 and 11 years old. Admission Adults $8.50 Children 11-16 years $6.00 Children 3-10 years $4.50 Children under 3 years FREE Mr Wong pays for his family to go into the zoo using a $50 note. Work out the change he receives. Answer(a) $ … [3] (b) The dolphin show fi nishes at 11 05. It lasts for 1 hour and 20 minutes. Write down the time the dolphin show starts. Answer(b) … [1] (c) Torty the tortoise was born on 27 December 1898. Work out how many years old she was on 3 January 2003. Answer(c) … years [1] (d) Last year, the ratio snakes : lizards = 3 : 5 . There were 45 lizards. (i) Work out how many snakes there were last year. Answer(d)(i) … [2] (ii) This year, there are 3 more snakes and the same number of lizards. Write down the new ratio snakes : lizards. Give your answer in its simplest form. Answer(d)(ii) … : … [2] (e) Mr Wong hires a vehicle to drive around the zoo. The cost is $25 for the fi rst hour and $7.50 for every extra half hour. He pays $85 altogether. For how long does he hire the vehicle? Answer(e) … hours [3] (f) Mrs Wong wants to buy some food for the giraffes. Small Bag Medium Bag Large Bag 225g 250g 325g 60 cents 70 cents 90 cents Work out which bag is the best value for money. Show how you decide. Answer(f) … [3] (g) The diagram shows a map of the zoo. The scale is 1 centimetre represents 50 metres. North Entrance Scale: 1 cm to 50 m Flamingos North Exit (i) Measure the bearing of the fl amingos from the entrance. Answer(g)(i) … [1] (ii) Xanthe looks after all the animals within 200 m of the exit. Draw accurately the locus of points inside the zoo which are 200 m from the exit. [2] (iii) A shop, S, is on a bearing of 212° from the entrance and a bearing of 293° from the exit. Mark the point S on the map. [3] __________________________________________________________________________________________

21 marks

Mark scheme: 3 (a) 22.5[0] 3 M1 for (2 × 8.5 + 6 + 4.50) M1 for 50 – their total (b) [0]9 45 1 (c) 104 1 45 (d) (i) 27 2 M1 for × 3 5 (ii) 2 : 3 cao 2 M1 for (their 27 + 3) : 45 or better If zero SC1 for 3 : 2 85− 25 (e) 5 3 M1 for soi by 8 7.50 their 8 M1 for + 1 2 (f) 3.75, 3.57... 3.61... [g / c] 3 M1 for 1 correct division, not evaluated small [bag] M1 for 2 further consistent correct divisions, not evaluated (g) (i) 105 1 (ii) correct locus drawn 2 M1 for any arc centre exit (iii) S marked correctly 3 B1 for indication of bearing of 212° B1 for indication of bearing of 293°

This question in 0580/33 May/June 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 Indira makes a playground for children. (a) She borrows $40 000 for 5 years at a rate of 3.6% per year simple interest. Calculate the total amount she will owe at the end of 5 years. Answer(a) $ … [3] (b) Bandhura works at the playground for 28 hours. She is paid $15.85 per hour. Calculate the total amount Bandhura is paid. Answer(b) $ … [1] (c) To visit the playground each adult pays $1.25 and each child pays $3.50 . One day 24 adults and 32 children visit the playground. Calculate how much they pay altogether. Answer(c) $ … [3] (d) On another day 180 people visit the playground. These people are in the ratio adults : boys : girls = 3 : 2 : 7. Calculate the numbers of adults, boys and girls. Answer(d) Adults = … Boys = … Girls = … [3] (e) The opening hours for the playground are shown below. Monday Closed Tuesday 08 30 to 17 15 Wednesday 08 30 to 17 15 Thursday 08 30 to 17 15 Friday 08 30 to 18 00 Saturday 08 30 to 17 15 Sunday 09 00 to 17 00 Calculate the total number of hours that the playground is open in the week. Answer(e) … hours [2] (f) Indira introduces a family ticket for $7.95 . 21 families buy this ticket. By rounding both numbers to 1 significant figure, estimate how much Indira receives. Show clearly how you worked out your estimate. Answer(f) $ … [2]

14 marks

Mark scheme: 40 000 × 6.3 × 5 5 (a) 47 200 3 M2 for 40 000 + 100 40 000 × 6.3 × 5 or M1 for or 7200 100 (b) 443.8[0] cao 1 (c) 142 3 M2 for 24 × 1.25 + 32 × 3.5 or 30 + 112 or M1 for either 24 × 1.25 or 32 × 3.5 or 30 or 112 (d) 45 3 180 M2 for 3 (or 2 or 7) × or better 30 3 + 2 + 7 105 180 or M1 for or better 3 + 2 + 7 If zero scored SC2 for the correct answers in the incorrect places (e) 52.5 2 M1 for 2 of 8[h] 45[m], 9[h] 30[m] and 8[h] oe (f) 8 × 20 = 160 2 B1 for 8 or 20 seen

This question in 0580/33 May/June 2015

6 The travel graph shows a journey of a train from A to C, stopping at B. C 125 100 75 Distance from A (km) 50 25 A 0 09 00 10 00 11 00 12 00 Time (a) Write down the time that the train leaves A. Answer(a) … [1] (b) Write down the time that the train stops at B. Answer(b) … [1] (c) For how many minutes did the train stop at B? Answer(c) … min [1] (d) Work out the average speed of the train between A and C. Answer(d) … km/h [3] (e) Another train leaves C at 09 50 and arrives at A at 11 40 without stopping. It travels at a constant speed. (i) On the grid, draw the travel graph for this train. [1] (ii) At what time do the two trains pass each other? Answer(e)(ii) … [1] (f) A ticket from A to C costs 2345 rupees. The exchange rate is 1 rupee = $0.024 . Calculate the cost of the ticket in dollars. Answer(f) $ … [1]

9 marks

Mark scheme: 6 (a) 09 20 1 (b) 10 00 1 (c) 20 1 (d) 50 3 M1 for use of 125 ÷ their time B1 for time = 2.5 (e) (i) points (09 50, 125) and (11 40, 0) 1 plotted and joined with a ruled continuous line (ii) 10 40 to 10 50 1FT FT their line (f) 56.28 final answer cao 1

This question in 0580/33 May/June 2015

4 (a) A farmer has 45 horses and 20 cows. (i) Write this as a ratio horses : cows. Give your answer in its simplest form. … : … [1] (ii) The farmer wants the ratio horses : cows to equal 5 : 3. He keeps his 45 horses but buys some more cows. Work out the number of cows he must buy. … [2] (b) Three years ago the farmer invested $3750 at a rate of 4% per year compound interest. (i) Calculate the total value of his investment after the 3 years. $ … [3] (ii) The farmer wants to spend his investment on buying goats. Goats cost $126 each. Work out the maximum number of goats he can buy and how much money is left over. Number of goats … Amount of money left over $ … [4] (c) The farmer grows carrots. In 2014 the selling price for carrots was $96 per tonne. In 2015 this selling price increased by 18%. Work out the increase in the selling price from 2014 to 2015. $ … [1] (d) The farmer has 20 female sheep. Each sheep has 0, 1, 2 or 3 lambs. The table shows this information. Number Number of of lambs sheep 0 1 1 4 2 12 3 3 (i) Calculate the mean number of lambs per sheep. … [3] (ii) The farmer takes 1 lamb away from each of the sheep with 3 lambs. These lambs are given to 3 of the 4 sheep that have 1 lamb. Complete the table after the farmer has done this. Number Number of of lambs sheep 0 1 2 3 0 [2] (iii) Explain why the mean number of lambs per sheep does not change. … [1]

17 marks

Mark scheme: 4 (a) (i) 9 : 4 1 3 (ii) 7 2 M1 for 5× 45 or 45 : 3 × 9 (b) (i) 4218.24 cao 3 M2 for 3750 × 1.043 oe or M1 for 3750 × 1.042 oe If zero scored SC2 for 468.24 4218.24 (ii) 33 2FT M1FT for their 126 60.24 2FT M1FT for their 4218.24 – 126 × their 33 4218.24 or (their – their33)×126 126 (c) 17.28 1 (d) (i) 1.85 3 M1 for 0 × 1 + 1 × 4 + 2 × 12 + 3 × 3 their 37 M1dep for 20 (ii) 1 2 B1 for 1 answer correct and total number of 1 sheep = 20 18 or 18 [0] (iii) Same total number of sheep and 1 same total number of lambs oe

This question in 0580/32 Feb/March 2016

2 Javier went to a carnival with his friends. (a) He played five games of darts. These are his scores. 160 58 45 82 125 (i) Work out his mean score. … [2] (ii) Find the range. … [1] (b) The 5000 tickets for the carnival are different colours. The table shows the number of tickets of each colour. Colour of ticket Red Green Blue Pink White Number of tickets 370 560 1800 1320 950 A ticket is picked at random. Find the probability that this ticket is Blue. … [1] (c) Five different types of food are sold at the carnival. Javier chooses one of these types of food. The table shows the probability that he chooses each type of food. Type of food Curry Fries Pasta Burger Salad Probability 0.15 0.23 0.4 0.07 Complete the table. [2] (d) Javier hires a four-seater bike. The hire cost is $8.50 for the first hour and then $7.75 for each extra hour. Calculate the cost of hiring the bike for 5 hours. $ … [2] (e) The table shows the number of drinks sold by one stall at the carnival. Drink Number sold Tea 70 Orange 60 Water 120 Coffee 180 Smoothie 40 Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Tea Orange Water Coffee Smoothie [3]

11 marks

Mark scheme: 160 + 58 + 45 + 82 + 125 470 2 (a) (i) 94 2 M1 for or 5 5 (ii) 115 1 1800 (b) oe isw 1 5000 (c) [0].15 oe 2 M1 for 1 – ( 0.15 + 0.23 + 0.4 + 0.07) or 1 – 0.85 (d) 39.5[0] 2 M1 for [8.50 +] (7.75 × 4) soi by 31 If zero scored, SC1 for 47.25 (e) Correct bar chart 3 B1 for any correct linear scale starting at zero soi B2 for all bars correct height and equal width, with equal gaps or no gaps or B1 for all bars correct height with unequal widths and/or gaps or at least three bars correct height with equal width, with equal gaps or no gaps

This question in 0580/31 Oct/Nov 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

9 Francesca owns a business. One year she has a total of $6000 to spend on rent, furniture and office equipment. (a) (i) The rent is $400 per month. Work out how much Francesca spends on rent in this year. $ … [1] (ii) Desks cost $58.50 each and chairs cost $15 each. Francesca buys 2 desks and 5 chairs. Work out how much Francesca spends on furniture. $ … [2] (iii) Francesca also spends $800 on office equipment. Work out how much remains of the $6000. $ … [2] (iv) She spends this remaining amount on boxes of paper. Paper costs $4.95 per box. Work out how many boxes she buys. … boxes [2] (b) Francesca needs to buy computer equipment. She borrows $2000 from a bank for 3 years at a rate of 5% per year compound interest. Calculate the total amount she pays back at the end of the 3 years. $ … [3]

10 marks

Mark scheme: 9(a)(i) 4800 1 9(a)(ii) 192 2 M1 for 2 × 58.5 + 5 × 15 or B1 for 117 or 75 seen 9(a)(iii) 208 2FT M1 for [6000 – ] (their (a)(i) + their (a)(ii) + 800) oe 9(a)(iv) 42 2FT M1 for their (a)(iii) ÷ 4.95 9(b) 2315.25 cao 3 M2 for 2000 × 1.053 oe or M1 for 2000 × 1.052 oe If zero scored, SC1 for 315.25

This question in 0580/31 May/June 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

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

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

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

9 Zach goes on holiday. (a) The mass, m kilograms, of his suitcase is 23.5 kg, correct to the nearest 500 g. Complete this statement about the value of m. … G m 1 … [2] (b) The ratio of the costs flights : hotels = 3 : 8. The cost of the flights is $861. Work out the total cost of flights and hotels. $ … [2] (c) $1 = 0.88 euros £1 = 1.15 euros Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds (£) to spend in England. Work out how many pounds he receives. £ … [4]

8 marks

Mark scheme: 9(a) 23.25 23.75 2 B1 for each If 0 scored, SC1 for both correct and in reverse order 9(b) 3157 2 861 M1 for × oe  ( 3 + 8 ) or × 8  3 9(c) 242 4 M1 for changing to euros M1FT for 45% or 55% calculated M1FT for changing to pounds or M1 for 45% or 55% calculated M1FT for changing to euros M1FT for changing to pounds

This question in 0580/32 May/June 2019

3 The music teacher at a school forms an orchestra. The instruments in the orchestra are 36 string, 15 woodwind and 12 brass. (a) Write the ratio string : woodwind : brass in its simplest form. … : … : … [2] (b) The 36 string instruments are violins, cellos and double basses in the ratio violins : cellos : double basses = 9 : 2 : 1. (i) Show that the number of violins is 27. [1] (ii) Work out the number of cellos and the number of double basses. Cellos … Double basses … [2] (c) The 15 woodwind instruments are oboes, flutes and clarinets. 20% of these instruments are oboes. There are twice as many flutes as clarinets. Find the number of flutes. … [2] 1 (d) Of the 12 brass instruments, are trumpets, 3 are trombones and the remainder are horns. 3 Find the number of horns. … [2] (e) The music teacher needs to buy all the instruments for the orchestra. Number of Price of each Cost ($) instruments instrument ($) String 36 131 4716 Woodwind 15 217 Brass 12 221 (i) Complete the table. [1] (ii) Find the total cost of all the instruments. $ … [1] (f) The school is given 65% of the total cost of all the instruments. Find how much more money is needed. $ … [2]

13 marks

Mark scheme: 3(a) 12 : 5 : 4 2 B1 for 36 : 15 : 12 oe 3(b)(i) 9 1 × 36 (9 + 2 + 1) 3(b)(ii) [Cellos] 6 2 B1 for each [Double basses] 3 3(c) 8 2 B1 for 3 [oboes] seen 3(d) 5 2 B1 for 4 [trumpets] seen 3(e)(i) [Woodwind] 3255 1 [Brass] 2652 3(e)(ii) 10 623 1 FT their (e)(i) 3(f) 3718.05 2 M1 for (1 – 0.65) × their (e)(ii) oe

This question in 0580/33 May/June 2019

2 Henry decorates a room. (a) Complete Henry’s shopping bill. Item Cost ($) 3 tins of paint at $15.95 each 2 brushes at $7.50 each 1 roll of tape at $2.90 2.90 Total [2] (b) 5.3 m 1.8 m NOT TO 3.2 m SCALE 2.4 m The diagram shows the floor of the room. (i) Calculate the area of the floor. … m2 [2] (ii) Henry buys varnish for the floor of the room. 500 ml of varnish covers 8 m2 of floor. Calculate the amount of varnish Henry needs. … ml [2] (c) This scale drawing shows the window in the room. The scale is 1 centimetre represents 40 centimetres. Scale: 1 cm to 40 cm Work out the actual length and height of the window. Length = … cm Height = … cm [2] (d) NOT TO SCALE 2.6 m 1.9 m 1.8 m The diagram shows one wall of the room. Calculate the area of the wall. … m2 [2] (e) Henry buys a circular mirror for the room. The diameter of the mirror is 80 cm. Calculate the circumference of the mirror. … cm [2]

12 marks

Mark scheme: 2(a) 47.85 2 B1 for one of first two values correct 15[.00] 65.75 2(b)(i) 12.9 2 M1 for 1.8 × 5.3 + 2.4 × (3.2 – 1.8) oe or 3.2 × 2.4 + 1.8 × (5.3 – 2.4) oe or 5.3 × 3.2 − (5.3 – 2.4) × (3.2 – 1.8) oe 2(b)(ii) 806.25 2 FT their (b)(i) × 62.5 M1 for their (b)(i) ÷ 8 × 500 oe 2(c) 160 2 B1 for each 100 or for 4 and 2.5 seen 2(d) 4.05 2 1 M1 for × (9.1 + 6.2 ) × 8.1 oe 2 2(e) 251 or 251.3 to 251.4 2 M1 for π × 80 oe

This question in 0580/32 Oct/Nov 2019

11 (a) Write as a decimal. 4 … [1] 36 (b) Write as a fraction in its lowest terms. 124 … [1] 5 (c) Work out of 128. 8 … [1] (d) Write down all the factors of 24. … [2] (e) Find the highest common factor (HCF) of 24 and 108. … [2] (f) Write down an irrational number between 3 and 9. … [1] (g) Write down the value of 250. … [1] (h) $8400 is invested for 2 years at a rate of 3.5% per year compound interest. Work out the total amount of interest earned by the end of the 2 years. $ … [3] 1 4(i) Without using a calculator, work out 2 + . 3 5 You must show all your working and give your answer as a mixed number in its simplest form. … [3]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) [0].25 1 1(b) 9 1 cao 13 1(c) 80 1 1(d) 1, 2, 3, 4, 6, 8, 12, 24 2 B1 for 6 or 7 correct factors and no extras or 8 correct factors and at most one extra 1(e) 12 2 B1 for 2, 3, 4 or 6 as final answer or 2 × 2 × 3 or for 2 × 2 × 2 × 3 and 2 × 2 × 3 × 3 × 3 1(f) Accept any irrational number between 1 3 and 9 1(g) 1 1 1(h) 598.29 cao 3 2  3.5  M2 for 8400 × 1 + oe    100  OR  3.5  2 M1 for 8400 ×  1 +  oe  100  A1 for 8998.29 1(i) 5 12 35 B1 allow denominators with multiples of 15 or or 35k 5 k 15 15 15 e.g. , 15k 15 k 5 12 35 12 M1 allow other common denominators [ 2 ] [+] or [+] 15 15 15 15 [2]17 or 47 leading to 2 cao A1 with no errors or omissions seen 15 15 315

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

2 (a) 66 football players each take five penalties. The number of penalties that each player scores is recorded. The results are shown in the bar chart. 20 18 16 14 12 Frequency 10 8 6 4 2 0 0 1 2 3 4 5 Number of penalties scored (i) Write down the mode. … [1] (ii) Write down the range. … [1] (iii) Calculate the mean. … [3] (b) The attendance at a football match is 11 678. (i) Write 11 678 in words. … [1] (ii) Write 11 678 correct to the nearest 100. … [1] (c) In a football stadium there are 15 000 seats. 10 650 of these seats are occupied. Find the percentage of the 15 000 seats that are occupied. … % [1] (d) A ticket to a football match costs $20. Calculate the cost of the ticket in rupees when the exchange rate is 1 rupee = $0.016 . … rupees [2]

10 marks

Mark scheme: 2(a)(i) 1 1 2(a)(ii) 5 1 2(a)(iii) 1.62 or 1.621… 3 M1 for ([0 × 16] + 1 × 19 + 2 × 14 + 3 × 10 + 4 × 5 + 5 × 2) soi by 107 M1dep for their 107 ÷ 66 2(b)(i) Eleven thousand six hundred (and) 1 seventy-eight 2(b)(ii) 11 700 1 2(c) 71 1 2(d) 1250 2 20 M1 for 0.016

This question in 0580/32 Feb/March 2020

2 (a) Jeremy goes on holiday. He parks his car in the airport car park from 10 00 on Tuesday 17 July to 17 00 on Saturday 28 July. The car park charges are shown below. Monday to Friday $14 per day Saturday and Sunday $8 per day Part days are charged as full days Find the total cost of parking his car. $ … [3] (b) At the airport, Jeremy buys a ring for $53 and a watch for $65. Work out how much change he receives from $120. $ … [2] (c) The plane flies from Melbourne to Tokyo at an average speed of 783 km/h. The distance from Melbourne to Tokyo is 8352 km. The plane leaves Melbourne at 09 52 local time. The local time in Tokyo is 2 hours behind the local time in Melbourne. Find the local time in Tokyo when the plane arrives. … [4] (d) In Tokyo, Jeremy buys a bracelet for 2050 yen. The exchange rate is 1 yen = $0.0125 . Calculate the price of the bracelet in dollars. Give your answer correct to the nearest dollar. $ … [2] (e) The plane ticket costs $680 plus a tax of 16%. Find the total cost of this ticket. $ … [2]

13 marks

Mark scheme: 2(a) 150 3 M2 for 9 × 14 + 3 × 8 oe or M1 for 9 × 14 or 3 × 8 oe 2(b) 2 2 M1 for 120 – (53 + 65) oe 2(c) 18 32 4 M1 for 8352 ÷ 783 A1 for 10 h 40 min M1 for the correct adjustment of the 2 hours 2(d) 26 2 M1 for 2050 × 0.0125 soi 25.625 2(e) 788.8[0] 2 16 M1 for 680 × (1 + ) oe 100

This question in 0580/32 May/June 2020

3 (a) 8 15 18 33 39 41 51 57 60 81 From this list, write down (i) a factor of 54, … [1] (ii) a multiple of 19, … [1] (iii) a prime number. … [1] (b) Write down the reciprocal of 64. … [1] (c) (i) Write .481 # 10 - 3 as an ordinary number. … [1] (ii) Write 75 000 in standard form. … [1] .63 # 10 2 (iii) Calculate - 3 . 7 # 10 Write your answer in standard form. … [2] (d) (i)  = {2, 4, 8, 16, 32, 64} A = {square numbers} B = {cube numbers} Use this information to complete the Venn diagram. A B [2] (ii) On this Venn diagram, shade the region P , Q . P Q [1]

11 marks

Mark scheme: 3(a)(i) 18 1 3(a)(ii) 57 1 3(a)(iii) 41 1 3(b) 1 1 64 3(c)(i) [0].00481 cao 1 3(c)(ii) 7.5 × 104 1 3(c)(iii) 9 × 104 2 B1 for figs 9 3(d)(i) 2 B1 for 4 or 5 numbers in the correct place 3(d)(ii) 1

This question in 0580/31 Oct/Nov 2020

9 (a) Simplify. 4x + 3y + 2x - 8y … [2] (b) A pen costs 60 cents and a ruler costs 29 cents. Write down an expression for the total cost, in cents, of x pens and y rulers. … cents [2] (c) Solve. 5 ( 2x + 4) = 85 x = … [3] (d) (i) 2 8 # 2 m = 2 6 Work out the value of m. m = … [1] (ii) 5 n ' 5 4 = 5 6 Work out the value of n. n = … [1] (e) A plant costs p dollars and a bush costs b dollars. Ana buys 2 plants and 4 bushes for $42. Paola buys 7 plants and 9 bushes for $107. Write down a pair of simultaneous equations and solve them to find the value of p and the value of b. You must show all your working. p = … b = … [6] Question 10 is printed on the next page.

15 marks

Mark scheme: 9(a) 6x – 5y final answer 2 B1 for 6x or – 5y in final answer or for 6x – 5y seen then spoilt 9(b) 60x + 29y final answer 2 B1 for 60x or 29y in final answer or for 60x + 29y seen then spoilt or for 60p + 29r or [$] 0.60x + 0.29y 9(c) 6.5 oe 3 M1 for a first correct step e.g. 10x + 20 = 85 or 2x + 4 = 17 M1FT for a second correct step e.g. 10x = 65 or 2x = 13 9(d)(i) –2 cao 1 9(d)(ii) 10 cao 1 9(e) 2p + 4b = 42 and 7p + 9b = 107 B2 B1 for each Correctly equating one set of M1 FT coefficients Correct method to eliminate one M1 FT variable Dependent on the coefficients being the same for one of the variables. Correct consistent use of addition or subtraction using their equations [p =] 5 A1 [b =] 8 A1 If M0 scored, SC1 for 2 values satisfying one of the/their original equations or SC1 if no working, but 2 correct answers

This question in 0580/32 Oct/Nov 2020

3 Pierre travels from his home in Lyon to Singapore. (a) He travels by train from Lyon to Paris. The train leaves Lyon at 9.05 am and arrives in Paris at 1.30 pm. (i) Write 1.30 pm in the 24-hour clock system. … [1] (ii) Work out, in hours and minutes, the time the train journey takes. … h … min [1] (b) He then travels by plane from Paris to Singapore. The plane leaves Paris at 16 35 on Thursday and arrives in Singapore 13 hours and 45 minutes later. The local time in Singapore is 6 hours ahead of the local time in Paris. Work out the day and time in Singapore when the plane arrives. Day … Time … [3] (c) The distance from Paris to Singapore is 10 736 kilometres. Work out the average speed of the plane. … km/h [2] (d) Pierre buys a watch for 400 Singapore dollars. The exchange rate is 1 Singapore dollar = 0.658 euros. Work out the cost of the watch in euros. … euros [1] (e) Pierre stays at a hotel in Singapore for 5 nights. The cost per night of the room is $170. His total hotel bill is $975.40 . Calculate how much Pierre spends on other hotel items. $ … [2]

10 marks

Mark scheme: 3(a)(i) 13 30 1 3(a)(ii) 4 [h] 25 [min] 1 3(b) Friday 3 B1 for Friday, as final answer 12 20 B2 for 12 20, as final answer or B1 for [0]6 20 or 22 35 or 19h 45 min or 12 20 seen then spoilt or M1 for their arrival time of flight + 6 hours 3(c) 780.8 2 M1 for 10 736 ÷ time of flight 3(d) 263.2[0] cao 1 3(e) 125.4[0] cao 2 M1 for 975.4 – 5 × 170 or better

This question in 0580/32 May/June 2021

2 (a) The bar chart shows the number of cars sold by a garage in each of six months. 16 14 12 10Number of cars sold 8 6 4 2 0 Jan Feb Mar Apr May Jun Jul Month (i) In July, 11 cars were sold. Complete the bar chart. [1] (ii) How many more cars were sold in March than in May? … [1] (b) These are the opening times of the garage. Monday to Friday 8.30 am to 5.30 pm Saturday 8.30 am to 1.00 pm Sunday Closed Work out how many hours the garage is open in one week. … h [2] (c) Mohammed works at the garage. He works for 36 hours from Monday to Friday and for 2 hours on Saturday. He is paid $10.50 per hour from Monday to Friday. On Saturday he is paid 1 12 times this rate. Calculate how much Mohammed is paid for this week. $ … [3] (d) Viktor is saving to buy a car. He invests $8000 for 5 years at a rate of 2.4% per year compound interest. Calculate the value of Viktor’s investment at the end of the 5 years. Give your answer correct to the nearest dollar. $ … [3] (e) At the garage, Pierre, Luigi and Freda sell cars. They share a bonus of $12 000 in the ratio Pierre : Luigi : Freda = 8 : 4 : 3. Calculate the amount they each receive. Pierre $ … Luigi $ … Freda $ … [3]

13 marks

Mark scheme: 2(a)(i) Bar at height 11 1 2(a)(ii) 9 1 2(b) 49.5 2 M1 for 5 × 9 + 4.5 oe 2(c) 409.5[0] cao 3 M2 for 36 × 10.5 + 10.5 × 1.5 × 2 oe or M1 for 36 × 10.5 or 10.5 × 1.5 × 2 or 36 + 1.5 × 2 oe 2(d) 9007 cao nfww 3 B2 for 9007.[...] 2.4 or M1 for 8000 × (1 + )5 oe 100 If M0 or M1 scored, SC1 for their decimal answer correctly rounded to the nearest dollar 2(e) 6400 3 B2 for one correct answer in the correct 3200 place 2400 or M1 for 12 000 ÷ (8+4+3) [× k] where k is 8, 4, 3 or 1

This question in 0580/33 Oct/Nov 2021

7 (a) Write the number six hundred and three thousand eight hundred and twenty-one in figures. … [1] (b) Pens cost 47 cents each. Aroha buys 8 pens. How much change does she receive from $5? $ … [2] (c) Find the value of (i) 81, … [1] (ii) 63, … [1] (iii) 30. … [1] (d) Write 130 as a product of its prime factors. … [2] (e) A tower has two bells, A and B. Bell A rings every 12 minutes. Bell B rings every 14 minutes. Both bells ring at 09 30. Find the next time both bells ring together. … [3]

11 marks

Mark scheme: 7(a) 603 821 1 7(b) 1.24 2 M1 for 5 – (0.47 × 8) oe 7(c)(i) 9 1 7(c)(ii) 216 1 7(c)(iii) 1 1 7(d) 2 × 5 × 13 2 B1 for 2, 5, 13 or M1 for correct factor tree/diagram/list/ table 7(e) 1054 3 B2 for 84 or 1 hr 24 mins or M1 for 84k or 2 × 2 × 3 × 7 or [12 =] 2 × 2 × 3 and [14 =] 2 × 7 or 2 correct factor trees / tables of both 12 and 14 OR M2 for listing times/multiples of both 12 and 14 to at least 1054 or 84 or M1 for listing at least 3 of each or one full list

This question in 0580/33 Oct/Nov 2021

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

5 (a) Apples cost $a per kilogram and bananas cost $b per kilogram. Lee buys 6 kg of apples and 8 kg of bananas. Write down an expression, in terms of a and b, for the total cost, in dollars, of the apples and the bananas. $ … [2] (b) Cara is one year older than twice Asher’s age. Brice is 22 years older than Asher. The total of their three ages is 167. Find the age of each person. Asher … years Brice … years Cara … years [4] (c) Solve the simultaneous equations. You must show all your working. 3x + 2y = 21 2x - 5y = 33 x = … y = … [4]

10 marks

Mark scheme: 5(a) 6a + 8b or 2(3a +4b) 2 B1 for 6a or 8b in final answer final answer or correct answer seen then spoilt 5(b) 36 4 B3 for [Asher]36 or [Brice]58 or [Cara]73 58 73 OR M2 for a correct equation which would lead to 4a + 23 = 167 or for (167 – 23) ÷ 4 oe or B1 for 2a + 1 or a + 22 seen or (167 – 23) oe M1 for 4a = 144 or for rearranging their equation to ka = j 5(c) Correctly equating one set of M1 coefficients Correct method to eliminate one M1 Dependent on the coefficients being the variable same for one of the variables Correct consistent use of addition or subtraction using their equations [x =] 9 A1 [y =] −3 A1 If M0 scored, SC1 for 2 values satisfying one of the original equations

This question in 0580/32 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

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

1 (a) The bar chart shows the number of goals scored by a team in each of 5 months. 22 20 18 16 14 12 Frequency 10 8 6 4 2 0 Sept Oct Nov Dec Jan Feb Month (i) In February, 12 goals are scored. Complete the bar chart. [1] (ii) How many more goals were scored in January than in October? … [1] (b) Find the range of the number of goals scored. … [1] (c) (i) The team shop is open from 09 00 to 17 15 on Monday to Friday only. Work out how long the shop is open each week. Give your answer in hours and minutes. … h … min [3] (ii) Bruno buys a shirt for $36 and a scarf for $12.25 . He pays with a $50 note. Work out how much change he receives. $ … [2] (d) Ticket prices Adult $35 Child $20 Senior $25 (i) Calculate the cost of 150 adult tickets, 70 child tickets and 30 senior tickets. $ … [3] (ii) Calculate the percentage of these tickets that are senior tickets. … % [2] (e) A game starts at 15 00. The team plays for 90 minutes. There is also a break of 15 minutes. Find the time the game ends. … [2]

15 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) Bar to 12 1 1(a)(ii) 11 1 1(b) 14 1 1(c)(i) 41 [h] 15 [min] 3 1 B2 for 41.25 or 41 or 40 hr 75 [mins] 4 1 or B1 for 8.25 or 8 or 8 h 15 [min] or 4 495 [min] or M1 for 7.25  5 oe or 9.25  5 oe OR SC2 for 57 [h] 45 [min] 1(c)(ii) 1.75 2 M1 for 50 – (36 + 12.25) oe or B1 for 48.25 1(d)(i) 7400 3 M2 for 35  150 + 20  70 + 25  30 oe or M1 for two of 35  150, 20  70 or 25  30 oe 1(d)(ii) 12 2 30 M1 for  100 oe 150 + 70 + 30 1(e) 16 45 or 4.45 pm 2 M1 for 15 00 + 90 [min] + 15 [min] oe

This question in 0580/32 Oct/Nov 2023

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

8 B 3.6 m A NOT TO SCALE 4.7 m E F 1.7 m C D 5.5 m The diagram shows a plan, ABCDE, of the floor of a room in Jo’s house. F is a point inside the room. (a) (i) Show that EF = 1.9 m . [1] (ii) Work out AF. AF = … m [1] (b) Calculate the area of the floor. … m2 [3] (c) A cupboard in the room is in the shape of a cuboid. The area of the base of the cupboard is 1.2 m2 and the height of the cupboard is 2.3 m. Calculate the volume of the cupboard. Give the units of your answer. … … [2] (d) Jo buys 275 floor tiles which cost $1.64 each. Calculate the total cost of the floor tiles. $ … [1] (e) Jo builds a patio in the shape of a semicircle with radius 2.3 m. Calculate the area of the patio. … m2 [2] Question 9 is printed on the next page.

10 marks

Mark scheme: 8(a)(i) 5.5 – 3.6 [= 1.9] 1 8(a)(ii) 3 1 8(b) 23 3 M2 for 4.7 × 3.6 + 1.9 × 1.7 + 0.5 × 1.9 × their (a)(ii) or 3.6 ×their(a)(ii) + 5.5 × 1.7 + 0.5 × 1.9 × their(a)(ii) or 5.5 × 4.7 − 0.5 × 1.9 × their (a)(ii) or 0.5  (3.6 + 5.5)  their (a)(ii) + 1.7  5.5 or 0.5  (1.7 + 4.7)  1.9 + 3.6  4.7 or M1 for 4.7 × 3.6 + 1.9 × 1.7 or 3.6 × their (a)(ii) + 5.5 × 1.7 or 0.5 × 1.9 × their (a)(ii) or 5.5 × 4.7 or 0.5  (3.6 + 5.5)  their (a)(ii) or 0.5  (1.7 + 4.7)  1.9 8(c) 2.76 1 m3 1 8(d) 451 1 8(e) 8.31 or 8.309 to 8.311 2 M1 for [0.5]π × 2.32 oe

This question in 0580/32 May/June 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

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

2 Div has $25 to buy some cups which cost $4.25 each. Calculate the maximum number of cups he can buy and the change he receives. Number of cups … Change $ … [3]

3 marks

Mark scheme: 2 5 3.75 3 B2 for 5 in answer space 25 or M1 for soi 4.25

This question in 0580/32 Feb/March 2025

18 Dara changes 5700 Thai baht to dollars. The exchange rate is $1 = 34 .18 Thai baht. Calculate the amount that Dara receives. $ … [1]

1 marks

Mark scheme: 18 166 or 167 or 166.7 to 166.8[0] 1

This question in 0580/31 May/June 2025

4 Apples cost $1.20 per kilogram and one banana costs 35 cents. (a) Work out the total cost, in dollars, of 3 kg of apples and 7 bananas. $ … [3] (b) Work out the change from $20. $ … [1]

4 marks

Mark scheme: 4(a) 6.05 cao 3 M2 for 3  1.2 0 + 7  0.35 oe or B2 for 605 or 6.05 seen then spoilt or B1 for 3.6[0] or 360 or 2.45 or 245 or M1 for 3 × 120 + 7 × 35 4(b) 13.95 1 FT 20 − their (a)

This question in 0580/32 May/June 2025

8 Mia changes $350 into euros. The exchange rate is $1 = 0.92 euros. Calculate the amount Mia receives. … euros [1]

1 marks

Mark scheme: 8 322 cao 1

This question in 0580/33 May/June 2025

14 Meg invests $2500 at a rate of 4.6% per year simple interest. Calculate the total amount of her investment at the end of 3 years. $ … [3]

3 marks

Mark scheme: 14 2845 3 B2 for 345 2500  4.6  3 or M2 for 2500 + oe 100 2500  4.6[3] or M1 for oe 100

This question in 0580/33 May/June 2025

2 Complete this shopping bill. 3.4 kg of flour at $4.60 per kg = $ … 2.75 kg of sugar at $ … per kg = $ 9. 90 Total = $ … [3]

3 marks

Mark scheme: 2 15.64 3 B1 for each 3.6[0] 25.54 FT their 15.64

This question in 0580/31 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