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Topical›Mathematics 0580›Number›Time›Paper 3

Time — Paper 3 · IGCSE Mathematics 0580

C1.15· 86 questions · 901 marks · 1081 min · 2005–2025· Structured questions

Every Cambridge IGCSE Mathematics Paper 3 question on time, laid out as 123 A4 pages with the mark scheme below. Nothing is left out. Free to read, no account.

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Questions123 pages

Question 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…1 / 123
Question 2: 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…2 / 123
Question 2 (continued)3 / 123
Question 3: 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 f…4 / 123
Question 4: For 210 km Examiner's L M Use North NOT TO 325 km SCALE R The diagram shows three islands, L, M and R. L is due west of M and R is due sout…5 / 123
Question 4 (continued)6 / 123
Question 5: Kim left school at 15 30 to walk home. For On the way home he remembered he had left a book at school. Examiner's He ran back to school and…7 / 123
Question 5 (continued)8 / 123
Question 6: Eduardo lives in Argentina and travels to Uruguay for a holiday. For Examiner's (a) His flight from Buenos Aires to Montevideo takes 55 min…9 / 123
Question 7: The distance between Geneva and Gstaad is 150 km. For Examiner's (a) Write 150 in standard form. Use Answer(a) [1] 1 (b) A car took 1 hours…10 / 123
Question 8: Mr and Mrs Sayed and their 3 children go on holiday. For They travel to the airport by train. Examiner's Use (a) The train departs at 16 20…11 / 123
Question 9: 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 …12 / 123
Question 9 (continued)13 / 123
Question 10: For Park 600 Examiner's Use 550 500 450 400 350 Distance from Bruce’s home 300 (metres) 250 200 Jason’s home 150 100 50 Bruce’s home 0 09 0…14 / 123
Question 11: Johno travelled from his home on the North Island of New Zealand to Blenheim on the South Island. For He left home at 06 30 and drove 50 km…15 / 123
Question 11 (continued)16 / 123
Question 12: (a) Angelica goes to watch a football match. For She entered the stadium at 19 20 and left at 22 05. Examiner's Use Work out the number of …17 / 123
Question 12 (continued)18 / 123
Question 13: (a) The travel graph shows Helva’s journey from her home to the airport. For Examiner's Use 200 airport 180 160 140 120 Distance from home …19 / 123
Question 13 (continued)20 / 123
Question 14: For Examiner′s Use 5 Sweet 4 shop 3 Distance (km) 2 1 Home 0 14 10 14 20 14 30 14 40 14 50 15 00 15 10 15 20 15 30 15 40 Time (a) Jono walk…21 / 123
Question 14 (continued)Question 15: 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 $8.5…22 / 123
Question 15 (continued)23 / 123
Question 15 (continued)24 / 123
Question 16: 600 550 500 Seville 450 400 Distance from Madrid (km) 350 Cordoba 300 250 200 150 100 50 Madrid 0 07 00 07 30 08 00 08 30 09 00 09 30 10 00…25 / 123
Question 16 (continued)Question 17: 40 Cawley 35 30 25 Distance from 20 Audley (km) 15 Brookland 10 5 Audley 0 09 00 09 30 10 00 10 30 11 00 Time The grid shows the travel gra…26 / 123
Question 17 (continued)Question 18: 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…27 / 123
Question 18 (continued)28 / 123
Question 18 (continued)Question 19: 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…29 / 123
Question 19 (continued)30 / 123
Question 20: The scale drawing shows two villages, A and B, joined by a straight road. The scale is 2 centimetres represents 1 kilometre. North A North …31 / 123
Question 20 (continued)Question 21: (a) Chip flies from New York to St Petersburg. The plane takes off at 02 30 and arrives in St Petersburg at 19 35. The local time in New Yo…32 / 123
Question 21 (continued)33 / 123
Question 21 (continued)Question 22: Whisper is a horse. (a) Whisper eats three apples every day. Work out how many apples she eats in 52 weeks. ...............................…34 / 123
Question 23: 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 …35 / 123
Question 24: (a) Here is part of a bus timetable. Town Hall 10 15 10 35 10 55 11 15 City Gate 10 32 10 52 11 12 11 32 Beacon Hill 10 58 11 18 11 38 11 5…36 / 123
Question 24 (continued)37 / 123
Question 25: The scale drawing shows a park, ABCDE. The scale is 1 centimetre represents 20 metres. B North A C D Scale: 1 cm to 20 m E (a) Measure the …38 / 123
Question 25 (continued)Question 26: (a) Juan and his family fly from London to Rio de Janeiro. (i) The plane departs at 10 20 and arrives in Rio de Janeiro 11 hours 40 minutes…39 / 123
Question 26 (continued)40 / 123
Question 27: 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.…41 / 123
Question 27 (continued)Question 28: A train departs from Green Hill, stops at Deep Valley for 5 minutes and then goes on to Clear Lake. The train timetable shows the times. St…42 / 123
Question 28 (continued)43 / 123
Question 28 (continued)44 / 123
Question 29: Eduardo goes to the Theatre. He leaves his house at twenty-five minutes to six in the evening. (a) Write down this time using the 24-hour c…45 / 123
Question 30: 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…46 / 123
Question 31: Here is part of the menu in a café. Item Price Tea ....................... $2.40 Coffee .................. $2.80 Fruit juice ............ $…47 / 123
Question 31 (continued)48 / 123
Question 32: (a) The diagram shows the positions of ports M, P, Q and R. North NOT TO SCALE Q 117 km 45 km North 118° M P R Port M and port P are due we…49 / 123
Question 32 (continued)Question 33: 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 seat…50 / 123
Question 33 (continued)51 / 123
Question 34: 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 fo…52 / 123
Question 34 (continued)53 / 123
Question 35: (a) Pablo leaves home at 07 35 and arrives at school at 08 20. (i) Find how many minutes it takes Pablo to get to school. .................…54 / 123
Question 35 (continued)Question 36: 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…55 / 123
Question 36 (continued)56 / 123
Question 36 (continued)Question 37: Louise leaves home at 09 55 and cycles the 5.6 km to the supermarket at a constant speed. She takes 15 minutes to complete the journey. (a)…57 / 123
Question 37 (continued)Question 38: (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…58 / 123
Question 38 (continued)59 / 123
Question 38 (continued)Question 39: Lena owns a café. (a) One day, Lena records the drinks she sells in one hour. Tea Tea Coffee Juice Milkshake Milkshake Coffee Coffee Milksh…60 / 123
Question 39 (continued)61 / 123
Question 39 (continued)Question 40: (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…62 / 123
Question 40 (continued)63 / 123
Question 40 (continued)Question 41: (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 receive…64 / 123
Question 41 (continued)65 / 123
Question 42: Mr Patel is travelling by train to the city. He is going to the library. 36 32 Library City station 28 24 Distance 20(km) 16 Lanay 12 stati…66 / 123
Question 42 (continued)Question 43: The scale drawing shows town A, town B and town C on a map. There is a straight road between town A and town B. The scale of the map is 1 c…67 / 123
Question 43 (continued)68 / 123
Question 44: Mr Razif travels by bus from Singapore to Kuala Lumpur with his wife and his four children. (a) Ticket Price Adult $32.40 Child $24.40 Fami…69 / 123
Question 45: 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 T…70 / 123
Question 45 (continued)71 / 123
Question 46: (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 …72 / 123
Question 47: (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 pa…73 / 123
Question 47 (continued)Question 48: 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. A…74 / 123
Question 48 (continued)75 / 123
Question 48 (continued)76 / 123
Question 49: (a) Sami travels to work by bus. The bus leaves the bus station at 07 35. (i) It takes Sami 23 minutes to walk from his house to the bus st…77 / 123
Question 50: The scale drawing shows the positions of Kendra’s house, K, and Latika’s house, L, on a map. North L North K (a) Jesminder’s house, J, is o…78 / 123
Question 50 (continued)Question 51: (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 diagra…79 / 123
Question 51 (continued)80 / 123
Question 51 (continued)Question 52: 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…81 / 123
Question 52 (continued)82 / 123
Question 53: 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 3…83 / 123
Question 53 (continued)84 / 123
Question 54: (a) The diagram shows the travel graph of a train journey from Wengen to Kleine Scheidegg. 7 Kleine Scheidegg 6 5 Wengernalp 4 Distance fro…85 / 123
Question 54 (continued)Question 55: (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…86 / 123
Question 55 (continued)87 / 123
Question 55 (continued)Question 56: Roberto and his family fly from London to Los Angeles on a holiday. (a) The flight takes 11 hours 15 minutes. (i) The flight leaves London …88 / 123
Question 56 (continued)89 / 123
Question 57: (a) Write the number six hundred and three thousand eight hundred and twenty-one in figures. ..............................................…90 / 123
Question 57 (continued)Question 58: Mr Zhang, his wife and three children go on a holiday from Shanghai to Auckland. (a) The flight for an adult costs $630. 5 The cost for a c…91 / 123
Question 58 (continued)Question 59: (a) Work out the number of days in seven weeks. ......................................... days [1] (b) The summit of Mount Everest is 8848 …92 / 123
Question 59 (continued)93 / 123
Question 60: Miguel works in an office. (a) It takes Miguel 40 minutes to drive to work. (i) He leaves home at 07 45. What time does he arrive at work? …94 / 123
Question 60 (continued)Question 61: 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 the…95 / 123
Question 61 (continued)96 / 123
Question 61 (continued)Question 62: (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 ti…97 / 123
Question 62 (continued)98 / 123
Question 63: Two friends, Diego and Javier, meet at a swimming pool. The travel graph shows Diego’s journey by bicycle from his home to the swimming poo…99 / 123
Question 63 (continued)Question 64: (a) A boat sails from A to B. The travel graph shows this journey. C 18 16 14 12 Distance 10 from A (km) 8 B 6 4 2 A 0 10 00 10 30 11 00 11…100 / 123
Question 64 (continued)101 / 123
Question 65: A railway line has three stations, Town, Port and Cove. Train A leaves Town for Cove and train B leaves Cove for Town. Both trains stop at …102 / 123
Question 66: (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…103 / 123
Question 66 (continued)Question 67: (a) Bayside, Millwater and Westbridge are towns beside a lake. The scale drawing shows the positions of Bayside (B) and Millwater (M). The …104 / 123
Question 67 (continued)105 / 123
Question 67 (continued)Question 68: (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. Hint…106 / 123
Question 68 (continued)107 / 123
Question 69: (a) Here is part of the timetable for buses from the station to the city centre. All buses take the same time to travel from the station to…108 / 123
Question 69 (continued)Question 70: 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% Percen…109 / 123
Question 70 (continued)110 / 123
Question 70 (continued)Question 71: (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…111 / 123
Question 71 (continued)112 / 123
Question 72: Samir leaves home at 2 pm. He jogs 6 km to a café at a constant speed of 8 km per hour. He stops to rest for 1 hour. He then walks back hom…Question 73: (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 …113 / 123
Question 73 (continued)114 / 123
Question 73 (continued)Question 74: (a) Write the number 845 024 in words. ....................................................................................................…115 / 123
Question 74 (continued)116 / 123
Question 75: (a) A wedding invitation is in the shape of a rectangle. Draw the lines of symmetry on this rectangle. [2] (b) There are 98 adults and 56 c…117 / 123
Question 76: 1 Taj is 3 years old. 4 Work out her age in months. ..................................... months [1]Question 77: Calculate the number of months in 5 years. ................................................. [1]Question 78: A plane leaves Seattle at 07 30 on Tuesday and arrives in Seoul 10 hours and 55 minutes later. The local time in Seoul is 16 hours ahead of…Question 79: Write 3.45 pm using the 24-hour clock. ................................................. [1]118 / 123
Question 80: A train leaves station A at 13 44. The train arrives at station B after 3 hours and 30 minutes. (a) Work out the time the train arrives at …Question 81: Tim drives home from work. The travel graph shows his journey. Work 36 30 Distance 24 from home (km) 18 12 6 Home 0 14 00 14 30 15 00 15 30…119 / 123
Question 82: 7 The local time in Japan is 3 hours ahead of the local time in India. 2 Find the time in Japan when it is 21 45 in India. ................…120 / 123
Question 83: Bob travels from town A to town B. The travel graph shows his journey. 600 500 400 Distance from town A (km) 300 200 100 0 08 00 09 00 10 0…121 / 123
Question 84: (a) A train to town P leaves a station every 20 minutes. A train to town Q leaves the same station every 35 minutes. Both trains leave at 0…122 / 123
Question 85: (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 i…Question 86: Work out the number of seconds in six and a half hours. .................................... seconds [1]123 / 123

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Mathematics 0580 · Time — Paper 3

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Q1 · Juana is travelling by plane from Spain to England 0580/31 May/June 2005

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

Q2 · For Examiner's Use Monday Tuesday Wednesday Thursday Friday Saturday Sunday Minimum… 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

Q3 · Alphonse, his wife and child fly from Madrid to the Olympic Games in Beijing 0580/31 May/June 2008

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

Q4 · For 210 km Examiner's L M Use North NOT TO 325 km SCALE R The diagram shows three… 0580/31 Oct/Nov 2010

9 For 210 km Examiner's L M Use North NOT TO 325 km SCALE R The diagram shows three islands, L, M and R. L is due west of M and R is due south of M. LM = 210 km and LR = 325 km. (a) Calculate the distance RM. Answer(a) RM = km [3] (b) (i) Use trigonometry to calculate angle LRM. Answer(b)(i) Angle LRM = [2] (ii) Find the bearing of L from R. Answer(b)(ii) [2] (c) (i) A ferry travels directly from M to L. For It leaves M at 06 15 and arrives at L at 13 45. Examiner's Use Calculate the average speed of the ferry in kilometres per hour. Answer(c)(i) km/h [2] (ii) The ferry then travels the 325 km from L to R at an average speed of 37 km/h. Calculate the time taken. Give your answer in hours and minutes, to the nearest minute. Answer(c)(ii) h min [3] (iii) The ferry leaves L at 14 00. Use your answer to part (c)(ii) to find the time it arrives at R. Answer(c)(iii) [1]

13 marks

Mark scheme: 9 (a) 248 art 3 M2 for 325 2 − 210 2 or better M1 for 325² = x² + 210² or better (b) (i) 40.3° art 2 M1 sin = 210 ÷ 325 or their (a) 210 cos = or tan = 325 their (a) (ii) 319.7(5)° or 320° 2ft M1 for 360 – their (b)(i) (c) (i) 28 2 B1 for (time =) 7.5 or 7.30 or M1 for 210 ÷ their 7.5 (ii) 8h 47min 3 M1 for 325 ÷ 37 A1 for 8.78(37…) B1 independent converting decimal time to minutes (iii) 22 47 or 10 47 pm 1ft ft 1400 + their (c)(ii)

This question in 0580/31 Oct/Nov 2010

Q5 · Kim left school at 15 30 to walk home 0580/32 Oct/Nov 2010

3 Kim left school at 15 30 to walk home. For On the way home he remembered he had left a book at school. Examiner's He ran back to school and arrived at 16 04. Use The travel graph shows his journey. School 4 3.5 3 2.5 Distance 2 (km) 1.5 1 0.5 Home 0 15 30 15 40 15 50 16 00 16 10 16 20 16 30 16 40 16 50 17 00 Time (a) Use the graph to answer the following questions. (i) At what time did Kim start to run back to school? Answer(a)(i) [1] (ii) How far was he from school at this time? Answer(a)(ii) km [1] (iii) How many minutes did he take to run back to school? Answer(a)(iii) min [1] (iv) What was his speed, in kilometres per hour, on his journey back to school? Answer(a)(iv) km/h [3] (b) Kim spent 6 minutes at school collecting his book. For He then walked home at a speed of 6 km/h. Examiner's Use (i) Complete the travel graph. [3] (ii) At what time did Kim arrive home? Answer(b)(ii) [1] (c) Kim’s sister, Julie, left the school at 15 48. She walked at a steady speed, without stopping, and arrived home 46 minutes later. (i) On the grid, draw the travel graph of Julie’s journey home from school. [2] (ii) Complete the sentence. arrived home first by minutes. [1]

13 marks

Mark scheme: 3 (a) (i) 15 50 cao 1 (ii) 1.6 (km) cao 1 (iii) 14 (mins) cao 1 (iv) art 6.86 (km/h) 3ft M1 for ‘1.6’ ÷ ‘14’ and M1ind for ‘14’ ÷ 60 soi (b) (i) (16 04, 4) to (16 10, 4) 1 Line must be horizontal (‘16 10’, 4) to (‘16 50’, 0) 2ft M1 for dealing with the time 4 ÷ 6 × 60 ft for a time period of 40 minutes only (ii) 16 50 1ft ft their time at home (c) (i) Straight line from 15 48 to 16 34 2 B1 for one end correct or both correct and line missing or not straight (ii) 16 1ft ft their time difference on x-axis

This question in 0580/32 Oct/Nov 2010

Q6 · Eduardo lives in Argentina and travels to Uruguay for a holiday 0580/33 Oct/Nov 2010

2 Eduardo lives in Argentina and travels to Uruguay for a holiday. For Examiner's (a) His flight from Buenos Aires to Montevideo takes 55 minutes. Use The plane departs at 17 35. (i) Write down the arrival time. Answer(a)(i) [1] (ii) The distance between Buenos Aires and Montevideo is 230 km. Calculate the average speed of the plane. Answer(a)(ii) km/h [3] (b) At the airport, Eduardo changed some Argentine pesos (ARS). He received 9121 Uruguay pesos (UYU). (i) The exchange rate was ARS 1 = UYU 6.515. Calculate how many Argentine pesos Eduardo changed. Answer(b)(i) ARS [2] (ii) Eduardo spent 1890 Uruguay pesos on meals. Calculate this as a percentage of the UYU 9121. Answer(b)(ii) % [1] (iii) At the end of his holiday, Eduardo has UYU 610 remaining. He changes this into Argentine pesos when the exchange rate is UYU 1 = ARS 0.149. Calculate how much Eduardo receives in Argentine pesos. Give your answer to the nearest whole number. Answer(b)(iii) ARS [2]

9 marks

Mark scheme: 2 (a) (i) 18 30 oe 1 (ii) 251 (250.9…) 3 M1 for distance ÷ time (any units) and M1 for 55 ÷ 60 oe (b) (i) 1400 2 M1 for 9121 ÷ 6.515 (ii) 20.7(2…) 1 (iii) 91 2 B1 for 90.89 or 90.9 or 90.8 or 610 × 0.149 or B1 (indep) for correct rounding to integer if from a decimal −5 

This question in 0580/33 Oct/Nov 2010

Q7 · The distance between Geneva and Gstaad is 150 km 0580/31 Oct/Nov 2011

2 The distance between Geneva and Gstaad is 150 km. For Examiner's (a) Write 150 in standard form. Use Answer(a) [1] 1 (b) A car took 1 hours to travel from Geneva to Gstaad. 2 Calculate the average speed of the car. Answer(b) km/h [1] (c) A bus left Gstaad at 10 15. It arrived in Geneva at 12 30. Calculate the time, in hours and minutes, that the bus took for the journey. Answer(c) h min [1] (d) Another bus left Geneva at 13 55. It travelled at an average speed of 60 km/h. Find the time it arrived in Gstaad. Answer(d) [2] (e) The distance of 150 km is correct to the nearest 10 km. Complete the statement for the distance, d km, from Geneva to Gstaad. Answer(e) Y d I [2]

7 marks

Mark scheme: 2 (a) 1.5(0) × 102 cao 1 (b) 100 cao 1 (c) 2 hours 15 minutes cao 1 (d) 16(:) 25 (pm) or (0)425 pm 2 M1 for 2.5 (oe), 2hrs 30 min (e) 145 ≤ d < 155 2 B1 for each value in correct place

This question in 0580/31 Oct/Nov 2011

Q8 · Mr and Mrs Sayed and their 3 children go on holiday 0580/32 Oct/Nov 2011

1 Mr and Mrs Sayed and their 3 children go on holiday. For They travel to the airport by train. Examiner's Use (a) The train departs at 16 20. (i) They leave home 45 minutes before the train departs. Find the time at which they leave home. Answer(a)(i) [1] (ii) Write 16 20 using the 12-hour clock. Answer(a)(ii) [1] (b) The train fare is $24 for an adult. 2 The train fare for a child is of an adult fare. 3 Find (i) the fare for a child, Answer(b)(i) $ [1] (ii) the total fare for Mr and Mrs Sayed and their 3 children. Answer(b)(ii) $ [2]

5 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) (i) 15 35 1 Accept 3.35 pm Condone 1535 pm (ii) (0)4 20 pm cao 1 (b) (i) 16(.00) 1 (ii) 96(.00) 2 M1 for 2 × 24 + 3 × their (b)(i) seen or implied

This question in 0580/32 Oct/Nov 2011

Q9 · Caroline goes to a shop 0580/33 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

Q10 · For Park 600 Examiner's Use 550 500 450 400 350 Distance from Bruce’s home 300 (metres)… 0580/33 Oct/Nov 2011

3 For Park 600 Examiner's Use 550 500 450 400 350 Distance from Bruce’s home 300 (metres) 250 200 Jason’s home 150 100 50 Bruce’s home 0 09 00 09 10 09 20 09 30 09 40 09 50 10 00 10 10 Time One morning, Bruce walked from his home to Jason’s home and the two boys walked to the park. The distance-time graph shows Bruce’s journey. (a) How many minutes was Bruce at Jason’s home? Answer(a) min [1] (b) How far from the park were Bruce and Jason at 09 20? Answer(b) m [2] (c) Work out the speed at which Bruce and Jason walked to the park. Give your answer in km/h. Answer(c) km/h [3] (d) Bruce stayed at the park for 35 minutes. He then walked home at a speed of 60 metres per minute. Complete the graph to show Bruce’s time at the park and his journey home. [3]

9 marks

Mark scheme: 3 (a) 5 1 (b) 150 2 B1 for 450 seen or implied .045 (c) 1.8 3 M2 for oe .025 (M1 for correct distance ÷ correct time) (d) Straight line (09 25, 600) to 1 (10 00, 600) Straight line (10 00, 600 to 10 10, 0) ft 2ft M1 for 600 ÷ 60 oe ft their graph 10 mins to time axis IGCSE – October/November 2011 0580 33

This question in 0580/33 Oct/Nov 2011

Q11 · Johno travelled from his home on the North Island of New Zealand to Blenheim on the South… 0580/32 Oct/Nov 2012

6 Johno travelled from his home on the North Island of New Zealand to Blenheim on the South Island. For He left home at 06 30 and drove 50 km to Wellington where he waited for the 08 20 ferry. Examiner's Use (a) Use information from the travel graph opposite to write down (i) the time Johno arrived at Wellington, Answer(a)(i) [1] (ii) the number of hours and minutes that he waited in Wellington for the 08 20 ferry. Answer(a)(ii) h min [1] (b) The ferry left Wellington at 08 20 and sailed 92 km to Picton on the South Island. The ferry arrived at 11 40. On the travel graph, show the ferry journey. [1] (c) Johno waited 20 minutes to get off the ferry. He then drove for 30 minutes at an average speed of 40 km/h to Blenheim. Complete the travel graph for his journey. [3] (d) Calculate his average speed, in km/h, for the whole journey from his home to Blenheim. Answer(d) km/h [2] (e) Another ferry left Picton at 10 10 and arrived at Wellington at 13 20. (i) On the travel graph, show the journey of this ferry. [2] (ii) How far were the two ferries from Wellington when they passed each other? Answer(e)(ii) km [1] For Examiner's 180 Use 170 160 Distance from home 150 (km) 140 130 120 110 100 90 80 70 60 Wellington 50 40 30 20 10 Home 0 06 00 07 00 08 00 09 00 10 00 11 00 12 00 13 00 14 00 Time

11 marks

Mark scheme: 6 (a) (i) (0)710 1 Accept (0)710 am (ii) 1 (h) 10 (min) 1 (b) Line from (08 20, 50) to 1 (11 40, 142) (c) Correct lines 1ft 1ft for a horizontal line from their (11 40, 142) To (1200, 142) of length two small squares. Then to (12 30, 162) 2ft 2ft is for line from end of their horizontal line 3 small squares across and 10 small squares up. B1 for line from end of their horizontal line 10 small squares up or M1 for 40 × 30 ÷ 60 (implied by 20 kilometres seen) (d) 27 2 M1ft for their total distance ÷ their time in hours SC1 for 36 or 24.9... (e) (i) Line (10 10, their 142) to 2 B1 for one of (10 10, their 142) or (13 20, 50) (13 20, 50) plotted. (ii) 70 to 72 (km) 1ft Ft is their intersection–50, half square accuracy.

This question in 0580/32 Oct/Nov 2012

Q12 · Angelica goes to watch a football match 0580/33 Oct/Nov 2012

1 (a) Angelica goes to watch a football match. For She entered the stadium at 19 20 and left at 22 05. Examiner's Use Work out the number of hours and minutes she was in the stadium. Answer(a) hours minutes [1] (b) The number of people watching the football match was 25 926. Write 25 926 correct to the nearest thousand. Answer(b) [1] (c) The football club buys lemonade in 5 litre bottles. Work out the number of 250 millilitre drinks that can be poured from one bottle. Answer(c) [2] (d) The table shows the number of goals scored in each match by Mathsletico Rangers. Number of goals scored Number of matches 0 4 1 11 2 6 3 3 4 2 5 1 6 2 (i) Draw a bar chart to show this information. For Complete the scale on the frequency axis. Examiner's Use Frequency 0 1 2 3 4 5 6 Number of goals scored [3] (ii) Write down the mode. Answer(d)(ii) [1] (iii) Calculate the mean. Answer(d)(iii) [3]

11 marks

Mark scheme: Qu. Part Answers Mark Part Marks 1 (a) 2 hours 45 minutes oe 1 (b) 26 000 1 (c) 20 2 M1 5 ÷ 0.25 or 5000 ÷ 250 (d) (i) fully correct bar chart 3 B1 correctly scaled frequency axis B2 correct height of bars ,width and spaces or B1 correct height of 5 or 6 bars or all bars correct height but unequal widths or gaps (ii) 1 1 (iii) 1.97 (1.9655….) 3 M1 attempt to multiply implied by 0, 11, 12, 9, 8, 5, 12 added implied by 57 M1 dep ft 57 ÷ their 29 or B2 1.96 or 2.103

This question in 0580/33 Oct/Nov 2012

Q13 · The travel graph shows Helva’s journey from her home to the airport 0580/33 Oct/Nov 2012

2 (a) The travel graph shows Helva’s journey from her home to the airport. For Examiner's Use 200 airport 180 160 140 120 Distance from home 100 (km) 80 60 40 20 home 0 08 00 10 00 12 00 14 00 16 00 Time (i) What happened at 09 30? Answer(a)(i) [1] (ii) Work out the time taken to travel from home to the airport. Give your answer in hours and minutes Answer(a)(ii) hours minutes [1] (iii) Calculate Helva’s average speed for the whole journey from home to the airport. Answer(a)(iii) km/h [2] (iv) Between which two times was Helva travelling fastest? Answer(a)(iv) and [1] (v) Helva’s husband left their home at 11 00 and travelled directly to the airport. He arrived at 15 30. Complete the travel graph for his journey. [1] (b) (i) Helva and her husband are flying from Finland to India. For Their plane takes off at 17 00 and arrives in India 7 hours 25 minutes later. Examiner's Use 1 The time in India is 3 hours ahead of the time in Finland. 2 What is the local time in India when the plane arrives? Answer(b)(i) [2] (ii) The temperature is O3°C in Finland and 23°C in India. Write down the difference between these two temperatures. Answer(b)(ii) °C [1] (c) Helva exchanged 7584 rupees for euros (€). The exchange rate was 1€ = 56 rupees. How many euros did Helva receive? Give your answer correct to 2 decimal places. Answer(c) € [2]

11 marks

Mark scheme: 2 (a) (i) stopped 1 (ii) 5 hours 30 mins or 5 ½ hours 1 (iii) 32.72 – 32.73 or 32.7 2 ft M1 180 ÷ their (a)(ii) ft correct to 3 sig figs (iv) 10(00) and 12(00) 1 (v) Line or curve from 1100,0 to 1530,180 1 (b) (i) (0)355 or 3.55 am 2 B1 0025 or 2030 seen SC1 2055 as answer or 3.55 pm as answer (ii) 26° or –26° 1 (c) 135.43 cao 2 M1 135 or 135.4 or 7854 ÷ 56, implied by 135.(428…) IGCSE – October/November 2012 0580 33

This question in 0580/33 Oct/Nov 2012

Q14 · For Examiner′s Use 5 Sweet 4 shop 3 Distance (km) 2 1 Home 0 14 10 14 20 14 30 14 40 14… 0580/32 May/June 2013

8 For Examiner′s Use 5 Sweet 4 shop 3 Distance (km) 2 1 Home 0 14 10 14 20 14 30 14 40 14 50 15 00 15 10 15 20 15 30 15 40 Time (a) Jono walked from his home to a sweet shop. Use the travel graph to calculate his walking speed in kilometres per hour. Answer(a) … km/h [2] (b) Jono stayed in the sweet shop for 20 minutes. He then ran home at a steady speed of 12 km/h. (i) On the grid above, complete the travel graph for Jono. [2] (ii) Write down the time Jono arrived home. Answer(b)(ii) … [1] (c) The sweet shop owner records how much time and how much money children spend in his shop. For Examiner′s Use Time in shop (min) 3 6 7 9 10 11 12 14 15 15 20 Money spent ($) 0.50 1.20 1.10 1.60 2.00 1.70 2.00 2.80 2.30 2.90 3.00 3 2 Money spent ($) 1 0 5 10 15 20 25 Time in shop (min) (i) Complete the scatter diagram. The fi rst seven points have been plotted for you. [2] (ii) What type of correlation does this scatter diagram show? Answer(c)(ii) … [1] (iii) On the grid, draw the line of best fi t. [1] (iv) A child spent $2.50 in the shop. Use your line of best fi t to estimate how long the child was in the shop. Answer(c)(iv) … min [1] _____________________________________________________________________________________

10 marks

Mark scheme: 4 8 (a) 6 2 M1 for [× 60] oe 40 (b) (i) Line from (1450,4) to (1510,4) 1 Line from (1510,4) to (1530,0) 1ft Ft is (their 1510,4) to (their 1510 + 20,0) (b) (ii) 1530 1ft (c) (i) 4 points plotted correctly 2 P1 for 3 correct (ii) Positive 1 (iii) Correct ruled line 1 (iv) 12< Ans <16 1ft IGCSE – May/June 2013 0580 32

This question in 0580/32 May/June 2013

Q15 · The Wong family spend the day at the zoo 0580/33 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

Q16 · 600 550 500 Seville 450 400 Distance from Madrid (km) 350 Cordoba 300 250 200 150 100 50… 0580/32 Oct/Nov 2014

4 600 550 500 Seville 450 400 Distance from Madrid (km) 350 Cordoba 300 250 200 150 100 50 Madrid 0 07 00 07 30 08 00 08 30 09 00 09 30 10 00 10 30 11 00 Time (a) A train leaves Madrid at 07 00. It arrives at Cordoba at 08 40 and stays at the station for 10 minutes. It then continues to Seville arriving at 09 40. (i) Show this journey on the grid opposite. [3] (ii) Write down, in hours and minutes, the total time for this journey. Answer(a)(ii) … h … min [1] (iii) Calculate, in kilometres per hour, the average speed for the whole journey. Answer(a)(iii) … km/h [2] (b) Another train leaves Seville at 07 45. It travels to Madrid without stopping at an average speed of 200 km/h. (i) Calculate, in hours and minutes, the time taken for this journey. Answer(b)(i) … h … min [2] (ii) Show this journey on the grid. [2] (c) How far from Madrid were the trains when they passed each other? Answer(c) … km [1] __________________________________________________________________________________________

11 marks

Mark scheme: 4 (a) (i) Line (0700, 0) to (08 40, 310) 1 Lines need not be ruled and could be curves Horizontal line 2 squares 1FT with positive gradients throughout. Line their (08 50, 310) to (09 40, 470) 1FT (ii) 2[h]40[min] 1 (iii) 176.25 2 M1FT for 470 ÷ their (a)(ii) (b) (i) 2[h]21[min] 2 M1 for 470 ÷ 200 soi (ii) Line from (07 45, 470) to (their 10 06, 2FT B1 for (07 45, 470) correctly plotted 0) or B1FT for (their 10 06, 0) correctly plotted (c) 290 to 300 1FT (Correct or follow through) FT from intersection on their graph.

This question in 0580/32 Oct/Nov 2014

Q17 · 40 Cawley 35 30 25 Distance from 20 Audley (km) 15 Brookland 10 5 Audley 0 09 00 09 30 10… 0580/31 May/June 2015

7 40 Cawley 35 30 25 Distance from 20 Audley (km) 15 Brookland 10 5 Audley 0 09 00 09 30 10 00 10 30 11 00 Time The grid shows the travel graph for a train travelling from Audley to Cawley, stopping at Brookland. (a) (i) Between which two towns is the train journey fastest? Give a reason for your answer. Answer(a)(i) From … to … is fastest because … [1] (ii) Calculate the speed of the train, in kilometres per hour, between Brookland and Cawley. Answer(a)(ii) … km/h [2] (b) When the train reaches Cawley, it waits for 10 minutes. It then returns to Audley without stopping at Brookland. The return speed of the train is 70 km/h. (i) Complete the travel graph for this train. [2] (ii) Write down the time this train arrives at Audley. Answer(b)(ii) … [1] (c) Trains leave Audley for Cawley every 100 minutes. The first train of the day is the 09 00 train. Write down the time that the fourth train leaves Audley for Cawley. Answer(c) … [2] __________________________________________________________________________________________

8 marks

Mark scheme: 7 (a) (i) Brookland to Cawley 1 and [gradient is] steeper oe 35 − 10 (ii) 100 2 M1 for oe time (b) (i) correct graph 2 B1 for horizontal line (0940, Cawley) to (0950, Cawley) B1FT for line (their 0950, Cawley) to (their 0950 + 30, Audley) (ii) 10 20 1FT (c) 1400 2 B1 for 300 or 5 h or 2:00 or 2 o’clock or any 2 of 10:40, 12:20(FT) or 14:00(FT)/2:00(FT) If zero scored, SC1 for 1540 or 3:40pm

This question in 0580/31 May/June 2015

Q18 · Indira makes a playground for children 0580/33 May/June 2015

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

Q19 · The travel graph shows a journey of a train from A to C, stopping at B 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

Q20 · The scale drawing shows two villages, A and B, joined by a straight road 0580/31 Oct/Nov 2015

5 The scale drawing shows two villages, A and B, joined by a straight road. The scale is 2 centimetres represents 1 kilometre. North A North B Scale: 2 cm to 1 km (a) (i) Work out the distance, in kilometres, from A to B. Answer(a)(i) … km [2] (ii) Measure the bearing of B from A. Answer(a)(ii) … [1] (b) Another village, C, is 3.2 km from A on a bearing of 310°. Mark and label the position of C on the diagram. [2] (c) In this part use a straight edge and compasses only and show your construction arcs clearly. Construct the perpendicular bisector of AB. [2] (d) A school is • closer to village A than to village B and • less than 3 kilometres from village B. On the diagram, shade the region in which the school must be. [3] (e) Nelson cycles from village B to the nearest town. He cycles a total distance of 12 km at an average speed of 15 km/h. He leaves village B at 10 15. Work out the time he arrives at the nearest town. Answer(e) … [3] __________________________________________________________________________________________

13 marks

Mark scheme: 5 (a) (i) 4.8 2 B1 for 9.6 seen (ii) 137 1 (b) Correct length and bearing 2 B1 for AC = 6.4 cm B1 for correct bearing 310° (c) Perpendicular bisector with 2 sets 2 B1 for correct line with some or no or incorrect of correct arcs arcs or B1 for 2 sets of correct arcs (d) Correct area shaded 3 B2 for arc centre B radius 6 cm touching their bisector twice or B1 for arc centre B, with radius 6 cm but incorrect length or for arc centre B, with incorrect radius (e) 11 03 3 M2 for 12 ÷ 15 × 60 or M1 for 12 ÷ 15 soi If zero scored, SC1 for their time added to 10 15 correctly

This question in 0580/31 Oct/Nov 2015

Q21 · Chip flies from New York to St Petersburg 0580/33 Oct/Nov 2015

1 (a) Chip flies from New York to St Petersburg. The plane takes off at 02 30 and arrives in St Petersburg at 19 35. The local time in New York is 8 hours behind the local time in St Petersburg. How long does the flight take? Answer(a) … hours … min [2] (b) Chip books a bus tour of St Petersburg. The cost is $290 for each adult and $163 for each child. There are 37 adults and 8 children on the bus. (i) Calculate how much is paid altogether. Answer(b)(i) $ … [3] (ii) The bus has 53 seats for passengers. Calculate the percentage of seats that are occupied. Answer(b)(ii) … % [2] (iii) Chip pays $290 for the bus tour. The exchange rate is $1 = 33.2 rubles. Work out the cost of the tour in rubles. Answer(b)(iii) … rubles [1] (c) St Isaac’s cathedral in St Petersburg is 101 m high, correct to the nearest metre. Complete the statement about the height, h metres, of St Isaac’s cathedral. Answer(c) …  h < … [2] (d) Chip went on a cruise ship from St Petersburg. It visited four other ports. 30 guests are asked which port they enjoyed the most. Each reply is listed below. Stockholm St Petersburg St Petersburg Helsinki Tallinn St Petersburg Tallinn Helsinki Tallinn Copenhagen Tallinn Copenhagen St Petersburg St Petersburg Stockholm St Petersburg Stockholm Helsinki Helsinki St Petersburg Tallinn Tallinn St Petersburg St Petersburg Stockholm Tallinn St Petersburg Helsinki Tallinn Copenhagen (i) Complete the frequency table. You may use the tally column to help you. Port Tally Frequency Copenhagen Helsinki St Petersburg Stockholm Tallinn Total 30 [2] (ii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency Copenhagen Helsinki St Petersburg Stockholm Tallinn [3] __________________________________________________________________________________________

15 marks

Mark scheme: Question Answer Mark Part marks 1 (a) 9 hours 5 minutes 2 B1 for 17 hrs 5 mins or using 10 30 or 11 35 (b) (i) 12034 3 M2 for 290 × 37 + 163 × 8 or M1 for either 290 × 37 or 163 × 8 (ii) 84.9 2 M1 for (37 + 8) ÷ 53 or better (iii) 9628 1 (c) 100.5 1 SC1 for correct but reversed 101.5 1 (d) (i) Copenhagen 3 2 B1 for 3 or 4 correct or fully correct tallies if frequency Helsinki 5 column blank or correct frequencies in tally column St Petersburg 10 Stockholm 4 Tallinn 8 (ii) Correct bar chart 3FT B3 All bars correct height same width and same gaps between bars and linear scale B2 for all bars correct height same width and same gaps between bars B1 for linear scale on y-axis B1 FT 3 or 4 correct heights

This question in 0580/33 Oct/Nov 2015

Q22 · Whisper is a horse 0580/32 Feb/March 2016

1 Whisper is a horse. (a) Whisper eats three apples every day. Work out how many apples she eats in 52 weeks. … [1] (b) Whisper is exercised twice a day. The first time is for 30 minutes. The second time is for 1 12 hours. (i) Write down the fraction of a day that Whisper is exercised. Write your answer in its simplest form. … [2] (ii) Write down the fraction of a day that she is not being exercised. … [1] (c) Whisper weighs 429 kg, correct to the nearest kilogram. Complete the statement about her weight, w kg. …  w  … [2]

6 marks

Mark scheme: Question Answer Mark Part marks 1 (a) 1092 1 1 2 120 (b) (i) cao 2 M1 for or oe 12 24 1440 11 1 (ii) oe 1FT FT is for 1– their 12 12 (c) 428.5 1 SC1 for both answers correct but reversed 429.5 1

This question in 0580/32 Feb/March 2016

Q23 · Paul and Mary go on a 14 night cruise in the Mediterranean 0580/31 May/June 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

Q24 · Here is part of a bus timetable 0580/32 May/June 2016

3 (a) Here is part of a bus timetable. Town Hall 10 15 10 35 10 55 11 15 City Gate 10 32 10 52 11 12 11 32 Beacon Hill 10 58 11 18 11 38 11 58 Kingswood Park 11 10 11 30 11 50 12 10 (i) Yana leaves home at 10 50. She takes 14 minutes to walk to the bus stop at City Gate. At what time does she reach the bus stop? … [1] (ii) She gets on the next bus to Kingswood Park. At what time does this bus arrive at Kingswood Park? … [1] (iii) Work out how many minutes the bus takes to get from City Gate to Kingswood Park. … min [1] (b) Ivan walks 1.5 km from his home to Kingswood Park. He takes 20 minutes. Work out Ivan’s average speed in kilometres per hour. … km/h [1] (c) The scale drawing shows a map of Kingswood Park. There are two straight paths and one circular path. The scale is 1 centimetre represents 200 metres. North North Gate East Gate West Gate Scale: 1 cm to 200 m South Gate (i) Yana walks along the straight path from East Gate to West Gate. Work out the distance she walks. Give your answer in kilometres. … km [2] (ii) Measure the bearing of South Gate from North Gate. … [1] (iii) The entrance to a children’s play area, P, is 500 metres from North Gate on a bearing of 195°. Mark the position of P on the map. [2] (iv) Ivan runs around the circular path once. Calculate the distance Ivan runs. … m [4]

13 marks

Mark scheme: 3 (a) (i) 11 04 1 (ii) 11 50 1FT (iii) 38 1 (b) 4.5 1 (c) (i) 2.2 2 B1 for 11 or 2200 seen (ii) 150° 1 (iii) Correct position 2 B1 for bearing 195° B1 for distance 2.5 cm (iv) 3770 or 3769.9 to 3770.4 4 B2 for diameter 1200 [metres] soi or B1 for diameter 6 [cm] soi M1 for π × their diameter soi

This question in 0580/32 May/June 2016

Q25 · The scale drawing shows a park, ABCDE 0580/33 May/June 2016

7 The scale drawing shows a park, ABCDE. The scale is 1 centimetre represents 20 metres. B North A C D Scale: 1 cm to 20 m E (a) Measure the bearing of B from A. … [1] All constructions in the following parts must be completed using a straight edge and compasses only. All construction arcs must be clearly shown. (b) A straight cycle path crosses the park from E to BC. The path bisects angle AED. (i) Construct the cycle path. [2] (ii) Work out the actual length, in metres, of the cycle path. … m [2] (iii) Alice cycles from E to BC along the path at a constant speed of 9 km/h. (a) Show that 9 km/h is equivalent to 2.5 m/s. [1] (b) Find the time she takes to cycle from E to BC. Give your answer in seconds. … s [2] (c) A straight footpath, equidistant from D and E, crosses the park from DE to AB. Construct the footpath. [2] (d) (i) Construct the locus of points 150 metres from A and inside the park. [2] (ii) A region for sports activities is less than 150 metres from A and closer to E than to D. Shade this region. [1]

13 marks

Mark scheme: 7 (a) 48 to 52 1 (b) (i) Correct ruled angle bisector with 2 B1 for accurate with no / one pair of arcs 2 pairs of correct arcs or M1 for 2 pairs of correct arcs with no / wrong line (ii) 270 to 278 2FT B1 for 13.5 ± 0.2 [cm] seen in working or B1FT for their line from E ± 0.2cm to outside (iii)(a) 9 × 1000 ÷ ( 60 × 60 ) 1 (iii)(b) 108 to 111.2 2FT M1FT for their (b)(ii) ÷ 2.5 (c) Correct ruled perpendicular 2 B1 for accurate with no / one pair of arcs bisector of DE with 2 pairs of or arcs M1 for correct intersecting arcs with no / wrong line (d) (i) Arc centre A, radius 7.5 2 B1 for centre A, incorrect radius from AB to AE or correct arc too short (ii) Correct region shaded 1FT follow through provided an area is possible

This question in 0580/33 May/June 2016

Q26 · Juan and his family fly from London to Rio de Janeiro 0580/31 Oct/Nov 2016

1 (a) Juan and his family fly from London to Rio de Janeiro. (i) The plane departs at 10 20 and arrives in Rio de Janeiro 11 hours 40 minutes later. The local time in Rio de Janeiro is 5 hours behind the local time in London. Work out the time in Rio de Janeiro when the plane arrives. … [2] (ii) The total cost of the plane tickets is 3500 pounds (£). The exchange rate is £1 = 4.45 Brazilian Real. Calculate the cost of the tickets in Brazilian Real. … Real [1] (b) (i) Juan and his family go to a soccer match. He buys 2 adult tickets and 2 child tickets. The price of an adult ticket is 660 Brazilian Real. 2 The price of a child ticket is 3 of the price of an adult ticket. Calculate the total cost of the tickets. … Real [2] (ii) The length, x metres, of the soccer pitch is 105 m, correct to the nearest metre. Complete the statement about the value of x. … G x 1 … [2] (c) The table shows how Juan and his family spent their time in Rio de Janeiro. Sector angle in a Activity Percentage of time pie chart Watching soccer 10 36° Sleeping 108° Shopping Beach 25 90° Other 15 54° (i) Complete the table. [3] (ii) Complete the pie chart. Watching soccer Other Beach [1]

11 marks

Mark scheme: Question Answer Mark Part marks 1 (a) (i) 1700 or 5pm 2 B1 for 2200 or [0]5 20 or 10pm or 5:20am or 6h 40 (ii) 15 575 1 (b) (i) 2200 2 B1 for 440 10 or M1 for 660 × 2 + their 440 × 2 or × 660 3 or better (ii) 104.5 1 SC1 for both correct but reversed 105.5 1 (c) (i) 30 1 20 72 1 1 (ii) Correct pie chart 1 160 + 58 + 45 + 82 + 125 470

This question in 0580/31 Oct/Nov 2016

Q27 · Mrs Singh and Mr Patel are teachers 0580/32 Feb/March 2017

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

Q28 · A train departs from Green Hill, stops at Deep Valley for 5 minutes and then goes on to… 0580/32 Feb/March 2017

5 A train departs from Green Hill, stops at Deep Valley for 5 minutes and then goes on to Clear Lake. The train timetable shows the times. Station Arrive Depart Green Hill - 10 30 Deep Valley 10 45 10 50 Clear Lake 11 14 - (a) (i) Complete this statement. The journey from Green Hill to Deep Valley takes … minutes. [1] (ii) Write your answer to part (a)(i) as a fraction of an hour. … [1] (b) The train travels the 18 km between Green Hill and Deep Valley at a constant speed. Calculate the speed, in km/h, for the train on this part of the journey. … km/h [1] (c) The train travels at a constant speed of 85 km/h between Deep Valley and Clear Lake. Work out the distance between Deep Valley and Clear Lake. … km [2] (d) Work out the total distance between Green Hill and Clear Lake. … km [1] (e) Complete the travel graph to show the whole journey from Green Hill to Clear Lake. 60 56 52 48 44 40 36 32 Distance (km) 28 24 20 Deep Valley 16 12 8 4 Green Hill 0 10 30 10 40 10 50 11 00 11 10 11 20 Time [3]

9 marks

Mark scheme: 5 (a) (i) 15 1 1 (ii) oe 1FT FT their (a)(i) / 60 4 (b) 72 1FT FT 18 / their (a)(ii) or 18 / their (a)(i) × 60 24 (c) 34 2 M1 for [ 85] × or 85 × 24 [ ÷60 ] or 60 85 ÷ 60 × [ 24 ] (d) 52 1FT FT is 18 + their 34 (e) ruled line from (10 30, 0) to 1 (10 45, 18) ruled line from (10 45, 18) to 1 (10 50, 18) ruled line from (10 50, 18) to 1FT FT (10 50, 18) to (11 14, their 52) (11 14, 52) 6

This question in 0580/32 Feb/March 2017

Q29 · Eduardo goes to the Theatre 0580/31 May/June 2017

6 Eduardo goes to the Theatre. He leaves his house at twenty-five minutes to six in the evening. (a) Write down this time using the 24-hour clock. … [1] (b) He travels to the Theatre by bus. Part of the timetable is shown below. Belmont Road 17 40 18 15 18 50 Railway Station 17 47 18 20 18 57 Leisure Centre 17 59 18 34 19 07 Theatre 18 05 18 40 19 12 Bus Station 18 16 18 48 19 22 It takes Eduardo 16 minutes to walk to the Railway Station from his house. (i) Find the time he arrives at the Railway Station. … [1] (ii) He gets on the next bus to the Theatre. Find the time he arrives at the Theatre. … [1] (iii) The 18 50 bus from Belmont Road takes the least time to travel to the Bus Station. Work out how many minutes quicker this journey is than the journey on the 17 40 bus. … min [2] (iv) The distance from Belmont Road to the Bus Station is 8.5 km. Calculate the average speed for the bus leaving Belmont Road at 17 40. Give your answer in kilometres per hour, correct to 1 decimal place. … km/h [4]

9 marks

Mark scheme: 6(a) 17 35 1 6(b)(i) 17 51 1FT B1 for their (a) + 16 minutes 6(b)(ii) 18 40 cao 1 6(b)(iii) 4 nfww 2 B1 for 36 minutes or 32 minutes 6(b)(iv) 14.2 cao 4 M2 for 8.5 ÷ their 36 × 60 soi or M1 for 8.5 ÷ their 36 or their 36 ÷ 60 soi or 8.5 ÷ time in mins × 60 A1 for 14.17 or 14.16 to 14.17 If A0 then SC1 for their answer ⩾ 2 decimal places rounded to 1 decimal place

This question in 0580/31 May/June 2017

Q30 · Francesca owns a business 0580/31 May/June 2017

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

Q31 · Here is part of the menu in a café 0580/32 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

Q32 · The diagram shows the positions of ports M, P, Q and R 0580/32 May/June 2017

7 (a) The diagram shows the positions of ports M, P, Q and R. North NOT TO SCALE Q 117 km 45 km North 118° M P R Port M and port P are due west of port R. Port M is due south of port Q. QM = 45 km and QR = 117 km. (i) Write down the bearing of port P from port R. … [1] (ii) Work out the bearing of port P from port Q. … [3] (iii) Work out the distance MR. MR = … km [3] (b) The interior angle of a regular polygon is 171°. Work out how many sides the polygon has. … [3]

10 marks

Mark scheme: 7(a)(i) 270 1 7(a)(ii) 152 3 M1 for 180 – 118 soi by 62 M1 for 180 – 90 – their 62 soi by 28 or better and 180 – their 28 or 90 + their 62 7(a)(iii) 108 3 2 2 M2 for 117 − 45 or better or M1 for […]2 + 452 = 1172 or better 7(b) 40 3 M1 for 180 – 171 soi by 9 M1 for 360 ÷ their 9

This question in 0580/32 May/June 2017

Q33 · The McVay family go to the cinema 0580/33 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

Q34 · 36 Wegmouth 32 28 Distance (km) 24 20 Tyneland 16 12 8 4 Seatown 0 11 00 11 30 12 00 12… 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

Q35 · Pablo leaves home at 07 35 and arrives at school at 08 20 0580/32 Oct/Nov 2017

1 (a) Pablo leaves home at 07 35 and arrives at school at 08 20. (i) Find how many minutes it takes Pablo to get to school. … min [1] (ii) The first lesson starts at 08 55 and ends 1 hour 15 minutes later. Find the time the first lesson ends. … [1] (iii) In one school week of 5 days, Pablo goes to and from school on the bus each day. He buys a 5-day ticket that costs $7.75 . A 1-day ticket costs $1.66 . Calculate how much Pablo saves by buying a 5-day ticket. $ … [2] (b) Pablo records the time, correct to the nearest minute, each student in his class spent on their homework. 30 42 56 12 15 10 50 8 58 24 34 41 11 36 18 9 21 48 35 42 27 44 52 15 56 19 22 54 41 30 (i) Find the range. … min [1] (ii) Complete the frequency table. You may use the tally column to help you. Time (minutes) Tally Frequency 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 Total 30 [2] (iii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency 0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 Time (minutes) [3] (iv) Write down the modal class interval. … to … [1]

11 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 45 1 1(a)(ii) 10 10 1 1(a)(iii) [0].55 2 M1 for (1.66 × 5) – 7.75 oe 1(b)(i) 50 1 1(b)(ii) 2, 7, 4, 5, 6, 6 2 B1 for 4 correct in frequency column or B1 for correct tallies if frequency column blank or B1 if 2, 7, 4, 5, 6, 6 seen in tally column with frequency column blank or incorrect 1(b)(iii) Correctly scaled frequency axis 1 all heights correct 1FT FT their table consistent width of bars 1 1(b)(iv) 10 [to] 19 1 FT their bar chart if 5 or 6 bars or their table if no bar chart

This question in 0580/32 Oct/Nov 2017

Q36 · Georgiana is travelling by train from Redtown to Teignley 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

Q37 · Louise leaves home at 09 55 and cycles the 5.6 km to the supermarket at a constant speed 0580/32 May/June 2018

7 Louise leaves home at 09 55 and cycles the 5.6 km to the supermarket at a constant speed. She takes 15 minutes to complete the journey. (a) Write down the time she arrives at the supermarket. … [1] (b) Calculate Louise’s average speed from her home to the supermarket (i) in kilometres per hour, … km/h [1] (ii) in metres per second, giving your answer correct to 1 decimal place. … m/s [2] (c) Louise stays at the supermarket for 23 minutes. On the grid opposite, draw the travel graph of her journey from home and her stay at the supermarket. [2] (d) Louise’s mother leaves home at 10 07 to meet Louise at the supermarket. She cycles at a constant speed of 28 km/h. (i) Work out how long she takes for the 5.6 km journey. Give your answer in minutes. … min [2] (ii) On the grid, show her mother’s journey. [1] (e) They cycle home together at a constant speed and arrive at 10 54. (i) On the grid, show their journey home. [1] (ii) Calculate, in km/h, their constant speed on the journey home. … km/h [2] 7 6 Supermarket 5 4 Distance from home (km) 3 2 1 Home 0 09 50 10 00 10 10 10 20 10 30 10 40 10 50 11 00 Time

12 marks

Mark scheme: 7(a) 10 10 1 7(b)(i) 22.4 1 7(b)(ii) 6.2 2 2FT their (b)(i) × 1000 ÷ (60 × 60) oe rounded to 1dp or M1 for their (b)(i) × 1000 ÷ (60 × 60) oe or 5600 ÷ (15 × 60) oe 7(c) Two correct ruled lines 2 B1FT for a line (09 55, 0) to (their 7(a), 5.6) B1FT for horizontal line (their 7(a), 5.6) to (their 7(a) + 23, 5.6) 7(d)(i) 12 2 M1 for 5.6 ÷ 28 [× 60] 7(d)(ii) Correct line 1 FT line from (10 07, 0) to (10 07 + their (d)(i), their 5.6) 7(e)(i) Correct line 1 FT line from (their 7(a) + 23, 5.6) to (10 54, 0) 7(e)(ii) 16 2 2FT 5.6 ÷ (their time in minutes) × 60 M1 for 5.6 ÷ 21 [× 60] soi or for 5.6 ÷ (their time in minutes)[× 60]

This question in 0580/32 May/June 2018

Q38 · A museum’s opening times are shown in this table 0580/33 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

Q39 · Lena owns a café 0580/31 Oct/Nov 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

Q40 · The bar chart shows the number of different films shown at a cinema in each of four months 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

Q41 · Stef buys 3.5 kilograms of bananas 0580/33 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

Q42 · Mr Patel is travelling by train to the city 0580/32 Feb/March 2019

6 Mr Patel is travelling by train to the city. He is going to the library. 36 32 Library City station 28 24 Distance 20(km) 16 Lanay 12 station 8 4 Keela 0 station 09 00 09 30 10 00 10 30 11 00 11 30 12 00 Time The travel graph shows his journey from Keela station to the library. (a) Write down the total time it takes Mr Patel to travel from Keela station to the library. … min [1] (b) Work out the speed of the train between Lanay station and City station in km/h. … km/h [2] (c) Use the following information to complete the travel graph for Mr Patel. • He spends 35 minutes at the library. • He walks back to City station at the same constant speed he walked to the library. • The train takes 20 minutes to travel from City station to Lanay station. • The train stops for 10 minutes at Lanay station. • The train travels at a constant speed of 48 km/h from Lanay station to Keela station. [4]

7 marks

Mark scheme: 6(a) 55 1 6(b) 108 2 18 M1 for × [ 60 ] oe 10 6(c) Correct graph 4 Ruled lines B1 for ruled lines (09 55, 31.5) to (10 30, 31.5) (09 55, 31.5) to (10 30, 31.5) and (10 30, 31.5) to (10 50, 30) (10 30, 31.5) to (10 50, 30) (10 50, 30) to (11 10, 12) B1 for ruled line from (their10 50, 30) to (their 10 50+20, 12) (11 10, 12) to (11 20, 12) B1 for ruled line from (their 11 10, 12) to (their 11 10+10, 12) (11 20, 12) to (11 35, 0) B1 for ruled line (their11 20, 12) to (their11 20+15, 0) or for 15 mins soi

This question in 0580/32 Feb/March 2019

Q43 · The scale drawing shows town A, town B and town C on a map 0580/32 May/June 2019

4 The scale drawing shows town A, town B and town C on a map. There is a straight road between town A and town B. The scale of the map is 1 centimetre represents 8 kilometres. North A North C North B Scale: 1 cm to 8 km (a) Measure the bearing of town A from town B. … [1] (b) Work out the actual distance, in kilometres, between town A and town B. … km [2] (c) Write the scale of the map in the form 1 : n. 1 : … [1] (d) A straight road from town C is on a bearing of 246°. It meets the road from town A to town B at point X. On the map, draw the road from town C to point X. Label the position of X. [1] (e) (i) Josie is at point X at 10 50. She arrives at town B 37 minutes later. Work out the time that she arrives at town B. … [1] (ii) Sammy leaves town A and travels to town B at a constant speed of 75 km/h. (a) Work out the time for this journey. Give your answer in hours and minutes, correct to the nearest minute. … h … min [3] (b) Sammy wants to arrive at town B at the same time as Josie. Work out the time that Sammy must leave town A. … [1]

10 marks

Mark scheme: 4(a) 322 1 4(b) 96 2 B1 for [AB =] 12 cm 4(c) 800 000 1 4(d) Ruled line CX drawn on map 1 4(e)(i) 11 27 1 4(e)(ii)(a) 1[h] 17 [min] 3 FT their(b) their (b) M2 for × 60 oe 75 their(b) or M1 for 75 4(e)(ii)(b) 10 10 1 FT their (e)(i) and their (e)(ii)(a)

This question in 0580/32 May/June 2019

Q44 · Mr Razif travels by bus from Singapore to Kuala Lumpur with his wife and his four children 0580/33 May/June 2019

9 Mr Razif travels by bus from Singapore to Kuala Lumpur with his wife and his four children. (a) Ticket Price Adult $32.40 Child $24.40 Family (2 adults and 3 children) $115.00 Work out how much Mr Razif saves if he buys a family ticket and one child ticket rather than six individual tickets. $ … [4] (b) The bus leaves Singapore at 12 40 and arrives in Kuala Lumpur at 17 35. Work out, in hours and minutes, the time this journey takes. … h … min [1] (c) Mr Razif changes some dollars into Malaysian ringgits. He receives 318 ringgits when the exchange rate is $1 = 4.24 ringgits. Work out how many dollars he changes. $ … [2]

7 marks

Mark scheme: 9(a) 23 4 M3 for 2 × 32.4 + 4 × 24.4 – 115 – 24.4 oe OR B2 for 162.4[0] or 2 × 32.4 + 4 × 24.4 oe or M1 for 2 × 32.4 or 4 × 24.4 B1 for 139.4[0] 9(b) 4 [h] 55[min] 1 9(c) 75 2 M1 for 318 ÷ 4.24

This question in 0580/33 May/June 2019

Q45 · Nadira owns a clothes shop 0580/32 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

Q46 · A plane leaves Karachi at 15 30 to fly to Bangkok 0580/33 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

Q47 · Jeremy goes on holiday 0580/32 May/June 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

Q48 · George, Louis and Beatriz have a café 0580/32 Oct/Nov 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

Q49 · Sami travels to work by bus 0580/32 Oct/Nov 2020

4 (a) Sami travels to work by bus. The bus leaves the bus station at 07 35. (i) It takes Sami 23 minutes to walk from his house to the bus station. Work out the latest time Sami can leave his house. … [1] (ii) The bus journey takes 41 minutes. Work out the arrival time of the bus. … [1] (b) The scale drawing shows the positions of two towns, A and B. The scale is 1 centimetre represents 10 kilometres. North A North B Scale : 1 cm to 10 km (i) Work out the actual distance between town A and town B. … km [2] (ii) Town C is 85 km from town A on a bearing of 100°. On the scale drawing, mark the position of town C. [2]

6 marks

Mark scheme: 4(a)(i) [0]7 12 1 4(a)(ii) [0]8 16 1 4(b)(i) 93 to 97 2 B1 for 9.3 to 9.7 4(b)(ii) C in correct position 2 B1 for correct distance of 8.5 cm or correct bearing of 100°

This question in 0580/32 Oct/Nov 2020

Q50 · The scale drawing shows the positions of Kendra’s house, K, and Latika’s house, L, on a… 0580/32 Feb/March 2021

4 The scale drawing shows the positions of Kendra’s house, K, and Latika’s house, L, on a map. North L North K (a) Jesminder’s house, J, is on a bearing of 036° from K and on a bearing of 284° from L. Mark the position of J on the map. [2] (b) The actual distance between K and L is 9600 metres. (i) Complete the scale of the map. 1 cm represents … metres [2] (ii) Kendra walks from K to L at a constant speed of 4.5 km/h. She leaves K at 10 15. Work out the time she arrives at L. … [3] (c) (i) Kendra and Latika leave Latika’s house at 15 00 to go to the cinema. (a) They walk for 20 minutes at a constant speed of 4.5 km/h. Work out the distance they walk. … km [1] (b) After walking for 20 minutes, they then run a distance of 6 km at a constant speed for 40 minutes. Draw their journey to the cinema on the travel graph. 10 9 8 7 6 Distance (km) 5 4 3 2 1 Latika’s house 015 00 16 00 17 00 18 00 19 00 Time [2] (ii) Kendra and Latika leave the cinema at 18 05. They travel back to Latika’s house in a taxi at a constant speed of 30 km/h. Complete the travel graph. [2]

12 marks

Mark scheme: 4(a) J marked in correct position 2 M1 for bearing 036 from K or bearing 284 drawn from L 4(b)(i) 800 2 9600 M1 for 11.8 ⩽ k ⩽ 12.2 soi k 4(b)(ii) 12 23 3 9.6 M1 for oe 4.5 or B1 for figs 213 or 2133.. A1 for 2h 8min If A0 scored, SC1 for 10 15 + their time correctly evaluated 4(c)(i)(a) 1.5 1 4(c)(i)(b) Ruled lines 2 B1FT for (15 00,0) to (15 20, their 1.5) (15 00,0) to (15 20,1.5) B1FT (15 20, their1.5) to (15 20,1.5) to (16 00,7.5) (16 00, their1.5+6) 4(c)(ii) Ruled lines 2 FT (their16 00, their7.5) (16 00,7.5) to (18 05,7.5) B1FT (their16 00, their7.5) to (18 05,7.5) to (18 20,0) (18 05, their7.5) B1FT line back to distance = 0 with correct gradient

This question in 0580/32 Feb/March 2021

Q51 · A baker puts some cakes in the oven at 5.50 pm 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

Q52 · Pierre travels from his home in Lyon to Singapore 0580/32 May/June 2021

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

Q53 · Ray owns an electrical shop 0580/33 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

Q54 · The diagram shows the travel graph of a train journey from Wengen to Kleine Scheidegg 0580/31 Oct/Nov 2021

6 (a) The diagram shows the travel graph of a train journey from Wengen to Kleine Scheidegg. 7 Kleine Scheidegg 6 5 Wengernalp 4 Distance from Wengen (km) 3 2 Allmend 1 Wengen 0 13 50 14 00 14 10 14 20 14 30 Time (i) Explain what happens between 14 09 and 14 10. … [1] (ii) Find the journey time from Allmend to Wengernalp in minutes. … min [1] (iii) Calculate the average speed for the train journey from Wengen to Kleine Scheidegg. Give your answer in km/h. … km/h [3] (iv) Another train travels from Kleine Scheidegg to Wengen. The table gives information about its journey. Station Arrival time Departure time Kleine Scheidegg 14 01 Wengernalp Train does not stop Allmend 14 18 14 20 Wengen 14 30 On the travel graph, draw the journey for this train. [3] (v) Write down the time when the two trains pass each other. … [1] (b) The temperature in Wengen at 5 am was -3 °C. At 4 pm the temperature has increased by 10 °C. Work out the temperature at 4 pm. … °C [1] (c) A formula to work out the temperature at different heights above Wengen is h T = 2 - 130 where T is the temperature in °C and h is the height, in metres, above Wengen. Kleine Scheidegg is 780 m above Wengen. Work out the temperature at Kleine Scheidegg. … °C [1]

11 marks

Mark scheme: 6(a)(i) [Train] stopped oe 1 6(a)(ii) 10 1 6(a)(iii) 15.36 3 B1 for 25 [mins] or 6.4 [km] or 0.416[6…][h] or 0.417[h] soi M1 for 6.4 ÷ their time 6(a)(iv) Three correct ruled lines 3 B1 for a line from (14 01, 6.4) to (14 18, 1.9) B1FT for a line from their (14 18, 1.9) to (their 14 18 + 2, their 1.9) B1FT for a line from (their (14 18 + 2), (their 1.9) to (14 30, 0) 6(a)(v) 14 09 1 FT their (a)(iv) 6(b) 7 1 6(c) –4 1

This question in 0580/31 Oct/Nov 2021

Q55 · In a café at a train station, a cup of coffee costs $3.25 and a glass of cola costs $2.15 0580/32 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

Q56 · Roberto and his family fly from London to Los Angeles on a holiday 0580/33 Oct/Nov 2021

1 Roberto and his family fly from London to Los Angeles on a holiday. (a) The flight takes 11 hours 15 minutes. (i) The flight leaves London at 15 40 local time. The local time in Los Angeles is 8 hours behind the local time in London. Work out the local time in Los Angeles that the plane arrives. … [2] (ii) The plane flies a total of 8760 km. Calculate the average speed of the plane. … km/h [3] (b) Roberto hires a car. (i) The cost of hiring a car is $56 per day, plus a fixed cost of $436. Write down a formula for the cost, C dollars, of hiring a car for d days. … [2] (ii) Roberto is given a car at random. There are four colours of car. Colour Red Silver Black White Probability 0.17 0.24 0.3 Complete the table. [2] (c) The family visit a national park which has an area of 4986 km2. (i) Write 4986 correct to the nearest hundred. … [1] (ii) Write 4986 in standard form. … [1] (d) A ticket for the park costs $17.50 plus 8% tax. Calculate the amount of tax paid. $ … [1] (e) The scale drawing shows the positions of two viewing points, A and B, in the park. The scale is 1 centimetre represents 5 kilometres. North North B A Scale : 1 cm to 5 km (i) Work out the actual distance between point A and point B. … km [2] (ii) Point C is 20 km from point A on a bearing of 072°. On the scale drawing mark the position of point C. [2]

16 marks

Mark scheme: Question Answer Marks Partial Marks 1(a)(i) 18 55 2 B1 for 07 40 or 02 55 or 3[h] 15 [min] or M1 for departure time + 11h 15 min −8h evaluated as a time with one interval correctly added 1(a)(ii) 779 or 778.6 to 778.7 3 8760 M2 for 8760 ÷ 11.25 oe × 60 675 or B1 for 11.25 or M1 for 8760 ÷ their time 1(b)((i) C = 56d + 436 cao 2 B1 for C = 56d + 436 seen and spoilt or 56d + 436 as final answer 1(b)(ii) 0.29 2 M1 for 1 – (0.17 + 0.24 + 0.3) oe or better 1(c)(i) 5000 1 1(c)(ii) 4.986 × 103 1 1(d) 1.4[0] 1 1(e)(i) 35 2 B1 for 7 1(e)(ii) Correct length and bearing 2 B1 for length 4 cm from A B1 for bearing 072° from A

This question in 0580/33 Oct/Nov 2021

Q57 · Write the number six hundred and three thousand eight hundred and twenty-one in figures 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

Q58 · Mr Zhang, his wife and three children go on a holiday from Shanghai to Auckland 0580/33 May/June 2022

3 Mr Zhang, his wife and three children go on a holiday from Shanghai to Auckland. (a) The flight for an adult costs $630. 5 The cost for a child is of the adult cost. 8 Show that the total cost of the flight for the family is $2441, correct to the nearest dollar. [3] (b) The plane leaves Shanghai at 20 05 local time on 13th November. The plane stops for 2 hours 30 minutes in Sydney. The plane lands in Auckland at 17 25 local time on 14th November. The local time in Auckland is 5 hours ahead of the local time in Shanghai. (i) Work out how long the plane is flying, in hours and minutes. … h … min [3] (ii) Write your answer to part (b)(i) in hours, correct to 3 decimal places. … h [1] (iii) The flight distance from Shanghai to Sydney is 7882 km. The flight distance from Sydney to Auckland is 2156 km. Find the total distance the plane flies. … km [1] (iv) Calculate the average speed of the plane when it is flying. … km/h [2] (c) The holiday expenses are in the ratio hotel : car hire : food = 8 : 5 : 6. The cost of the hotel is $2400. Show that the total of the holiday expenses is $5700. [2]

12 marks

Mark scheme: 3(a) 5 M2 5 2 × 630 + 3 ×  630 M1 for [3 ×]  630 8 8 2441.25 A1 3(b)(i) 13 [h] 50 [min] 3 B2 for 16[h] 20[min] or 18[h] 50[min] as final answer or 13[h] 50[min] not as final answer or 16[h] 20[min] with – 2[h] 30[min] attempted or 18[h] 50[min] with – 5[h] attempted or B1 for 21[h] 20[min] seen or 16[h] 20[min] or 18[h]50 [min] seen or 23[h] 50[min] as final answer or an attempt made to find a time of flight 3(b)(ii) 13.833 cao 1 FT their time correct to 3 decimal places 3(b)(iii) 10 038 1 3(b)(iv) 726 or 725.6 to 725.7 2 FT their (b)(iii) ÷ their (b)(ii) correctly evaluated M1 for their (b)(iii) ÷ their (b)(ii) 3(c) 2400 ÷ 8 × ( 8 + 5 + 6 ) [=5700] M2 M1 for 2400 ÷ 8

This question in 0580/33 May/June 2022

Q59 · Work out the number of days in seven weeks 0580/33 May/June 2022

5 (a) Work out the number of days in seven weeks. … days [1] (b) The summit of Mount Everest is 8848 metres above sea level. Ayding Lake is 154 metres below sea level. Work out the difference in height between these places. … m [1] (c) Find two integers that have a sum of - 12 and a product of 32. … and … [1] 3 (d) Write as 8 (i) a decimal, … [1] (ii) a percentage. … % [1] (e) Write down the reciprocal of 1. 9 … [1] (f) Find the value of (i) 45, … [1] (ii) 3 512 . … [1] (g) (i) Write 587 000 in standard form. … [1] (ii) Calculate 4.9 # 10 - 3 + 8.1 # 10 - 4 . Give your answer in standard form. … [1] (h) The height, h metres, of a fence post is 2.43 m, correct to the nearest centimetre. Complete the statement about the value of h. … G h 1 … [2]

12 marks

Mark scheme: 5(a) 49 1 5(b) 9002 1 5(c) −8 and −4 1 5(d)(i) [0].375 1 5(d)(ii) 37.5 1 5(e) 9 1 5(f)(i) 1024 1 5(f)(ii) 8 1 5(g)(i) 5.87 × 105 cao 1 5(g)(ii) 5.71 × 10−3 cao 1 5(h) 2.425 2.435 2 B1 for each If zero scored, SC1 for 242.5 ⩽ h < 243.5 or for both correct but reversed

This question in 0580/33 May/June 2022

Q60 · Miguel works in an office 0580/31 Oct/Nov 2022

3 Miguel works in an office. (a) It takes Miguel 40 minutes to drive to work. (i) He leaves home at 07 45. What time does he arrive at work? … [1] (ii) Miguel drives to work at an average speed of 57 km/h. Show that he drives 38 km. [2] (b) White paper costs w cents per sheet and pink paper costs p cents per sheet. Miguel uses 56 sheets of white paper and 21 sheets of pink paper. Write down an expression, in terms of w and p, for the total cost, in cents, of the paper he uses. … cents [2] (c) Miguel has a closed box of pens. The box is in the shape of a cuboid measuring 20 cm by 12 cm by 7 cm. Calculate the surface area of the box. … cm2 [3] (d) Miguel records the length of time of each telephone call he receives, correct to the nearest minute. 7 15 6 28 8 21 17 19 20 12 11 19 12 3 20 23 14 9 4 18 (i) Complete the frequency table. You may use the tally column to help you. Time (minutes) Tally Frequency 0 - 5 6 - 10 11 - 15 16 - 20 21 - 25 26 - 30 [2] (ii) Draw a bar chart to show this information. Complete the scale on the frequency axis. Frequency 0 0 – 5 6 – 10 11 – 15 16 – 20 21 – 25 26 – 30 Time (minutes) [3] (iii) Use the bar chart to write down the modal group. … — … [1]

14 marks

Mark scheme: 3(a)(i) 08 25 1 3(a)(ii) 40 2 40 57  [= 38] M1 for or 57  40 60 60 3(b) 56w + 21p final answer 2 B1 for 56w or 21p in final answer or for 56w + 21p seen then spoilt 3(c) 928 3 M2 for [2 ](20  12 + 20  7 + 12  7) oe or M1 for (20  12) or (20  7) or (12  7) 3(d)(i) 2 4 5 6 2 1 2 B1 for 4 or 5 correct frequencies If 0 scored SC1 for correct tallies if frequency column blank or all frequencies correct but not in the frequency column 3(d)(ii) Suitable scales on y-axis 1 Bars at correct height 1 FT their frequency Bars equal width 1 3(d)(iii) 16 – 20 1 FT their bar chart

This question in 0580/31 Oct/Nov 2022

Q61 · Mr and Mrs Perez and their 3 children go on holiday to Tokyo 0580/32 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

Q62 · The table shows some information about the opening hours of a café 0580/32 Feb/March 2023

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

Q63 · Two friends, Diego and Javier, meet at a swimming pool 0580/31 May/June 2023

8 Two friends, Diego and Javier, meet at a swimming pool. The travel graph shows Diego’s journey by bicycle from his home to the swimming pool. Javier’s 10 home 9 8 7 Swimming pool 6 5 Distance from Diego’s home (km) 4 3 2 1 Diego’s 0 10 00 10 30 11 00 11 30 12 00 12 30 13 00home Time (a) Calculate Diego’s speed for his journey from his home to the swimming pool. Give your answer in kilometres per hour. … km/h [2] (b) Diego stays at the swimming pool until 12 20. (i) On the grid, draw the line representing the time he stays at the swimming pool. [1] (ii) Work out how long, in hours and minutes, he is at the swimming pool. … h … min [1] (c) Javier leaves his home 15 minutes later than Diego. He walks to the swimming pool at a constant speed of 6 km/h. On the grid, show Javier’s journey from his home to the swimming pool. [3] (d) They both leave the swimming pool at 12 20 and return to their own homes, each at a constant speed. Diego arrives home at 12 45. Javier arrives home 5 minutes later than Diego. Complete the travel graph. [2]

9 marks

Mark scheme: 8(a) 9 2 M1 for 6 ÷ 40 [× 60] oe 8(b)(i) Ruled straight line from 1 (10 40, 6) to (12 20, 6) 8(b)(ii) 1 [h] 40 [min] 1 8(c) Ruled straight line from (10 15, 10) 3 B1 for (10 15, 10) marked to (10 55, 6) M1 for 4 ÷ 6 [× 60] If 0 scored, then SC1 for straight line from (10 15, 0) to (11 15, 6) 8(d) Ruled straight line from 2 FT (their12 20, 6) to (12 45, 0) B1 for each Ruled straight line from (their 12 20, 6) to (12 50, 10)

This question in 0580/31 May/June 2023

Q64 · A boat sails from A to B 0580/33 May/June 2023

4 (a) A boat sails from A to B. The travel graph shows this journey. C 18 16 14 12 Distance 10 from A (km) 8 B 6 4 2 A 0 10 00 10 30 11 00 11 30 12 00 12 30 13 00 Time (i) Write down the time that the boat leaves A. … [1] (ii) Work out how long, in minutes, it takes the boat to sail from A to B. … min [1] (iii) The boat stays at B for 20 minutes. The boat then sails to C at a constant speed of 8 km/h. Complete the travel graph. [2] (iv) Work out the average speed, in km/h, for the whole journey from A to C. … km/h [3] (b) The scale drawing shows the positions of two ports, X and Y. The scale is 1 cm represents 8 km. North Y North sea land X Scale: 1 cm to 8 km (i) Measure the bearing of Y from X. … [1] (ii) A boat, B, is 52 km from X and 80 km from Y. On the scale drawing, mark the position of B. [2] (iii) A ship, S, is on a bearing of 284° from X. Work out the bearing of X from S. … [2]

12 marks

Mark scheme: 4(a)(i) 10 20 1 4(a)(ii) 40 1 4(a)(iii) Ruled lines from 2 B1 for each line (11 00, 6) to (11 20, 6) If 0 scored, SC1 for and (11 20, 6) to (12 50, 18) (their11 20, 6) to 1 ( their11 20  1 h , 18 ) 2 4(a)(iv) 7.2 3 18 M2 for oe 30 2 60 OR M1 for their time at C – 10 20 correctly evaluated 18 M1 for using their journeytime 4(b)(i) [0]65 1 4(b)(ii) B correctly marked 2 B1 for their B 6.5 cm from X or 6.5 cm from X 10 cm from Y 10 cm from Y or 6.5 and 10 soi 4(b)(iii) 104 2 M1 for 284  180 oe or indicates correct angle on a sketch

This question in 0580/33 May/June 2023

Q65 · A railway line has three stations, Town, Port and Cove 0580/31 Oct/Nov 2023

5 A railway line has three stations, Town, Port and Cove. Train A leaves Town for Cove and train B leaves Cove for Town. Both trains stop at Port. 25 Cove B 20 Distance from Town (km) 15 Port 10 5 A Town 0 14 00 14 10 14 20 14 30 14 40 14 50 Time (a) Write down the time that train B leaves Cove. … [1] (b) Write down how long train A stops at Port. … min [1] (c) How many more minutes does train A take to complete the whole journey than train B? … min [2] (d) Write down the time that the two trains pass each other. … [1] (e) Work out the average speed of train A between Town and Cove in kilometres per hour. … km/h [3]

8 marks

Mark scheme: 5(a) 14 10 1 5(b) 4 1 5(c) 2 2 B1 for 40 or 38 5(d) 14 25 1 5(e) 34.5 3 23 M2 for  60 oe 40 23 or M1 for their time

This question in 0580/31 Oct/Nov 2023

Q66 · The bar chart shows the number of goals scored by a team in each of 5 months 0580/32 Oct/Nov 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

Q67 · Bayside, Millwater and Westbridge are towns beside a lake 0580/33 Oct/Nov 2023

2 (a) Bayside, Millwater and Westbridge are towns beside a lake. The scale drawing shows the positions of Bayside (B) and Millwater (M). The scale is 1 centimetre represents 2 kilometres. North B M Scale: 1 cm to 2 km (i) Find the actual distance between Bayside and Millwater. … km [2] (ii) Westbridge (W) is 17 km from Bayside on a bearing of 155°. On the scale drawing, mark the position of Westbridge. [2] (b) (i) A boat travels from Bayside to Westbridge. The table gives some information about its journey. Bayside departs 10 50 arrives 11 36 Millwater departs 11 45 Westbridge arrives 13 07 Work out how long the boat takes to travel from Millwater to Westbridge. Give your answer in hours and minutes. … h … min [1] (ii) The boat returns directly to Bayside. It takes 1 hour 20 minutes to travel the 17 km. Work out the average speed of this journey. … km/h [2] (c) Here are the ticket prices for a boat trip from Bayside to Westbridge. 1 person Group of 6 people Group of 15 people $9.80 $57.30 $138.75 (i) Calculate the cost per person for a group of 15 people. $ … [1] (ii) A group of 24 people buy tickets for the boat trip from Bayside to Westbridge. Calculate the least amount of money the group needs to pay. $ … [2]

10 marks

Mark scheme: 2(a)(i) 9 2 B1 for 4.5 or M1 for their 4.5 × 2 2(a)(ii) W correctly placed 2 B1 for correct bearing of 155 from B or for correct distance of 8.5 cm from B 2(b)(i) 1 hour 22 mins 1 2(b)(ii) 12.75 2 M1 for 17 ÷ their time 2(c)(i) 9.25 1 2(c)(ii) 225.45 cao 2 M1 for 3 × 9.8[0] + 57.3 + 138.75 oe or B1 for 9.55

This question in 0580/33 Oct/Nov 2023

Q68 · Here is part of the timetable for trains from Hinton to Jarmouth 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

Q69 · Here is part of the timetable for buses from the station to the city centre 0580/33 May/June 2024

2 (a) Here is part of the timetable for buses from the station to the city centre. All buses take the same time to travel from the station to the city centre. Station 09 24 11 06 City centre 10 03 … (i) Complete the timetable. [2] (ii) Beth walks 4 km from her home to the station at a speed of 6 km/h. She wants to travel on the 09 24 bus. Work out the latest time she can leave her home. … [3] (iii) 45 seats on the bus are occupied. 3 This is of the total number of seats on the bus. 5 Work out the total number of seats on the bus. … [2] (b) Beth buys 2.4 kg of onions costing $1.25 per kilogram and 4.5 kg of potatoes. The total cost is $11.64 . Find the cost of 1 kg of potatoes. $ … [3] (c) (i) One day 140 people enter a shop. The ratio adults : children = 3 : 2. Find the number of adults who enter the shop. … [2] (ii) The price of a television in this shop is $624. 37.5% of this price is profit. Calculate the profit on this television. $ … [1] (iii) The price of a phone in this shop is $420. This price increases by 12%. Calculate the new price. $ … [2]

15 marks

Mark scheme: 2(a)(i) 11 45 2 B1 for 39 [m] or 1 [h] 42 [m] or 102 [m] 2(a)(ii) 08 44 3 B2 for 40 [m] or M1 for 4 ÷ 6 [×60] oe 2(a)(iii) 75 2 45 M1 for [×5] oe 3 2(b) 1.92 3 M2 for (11.64 – 2.4 × 1.25) ÷ 4.5 oe or M1 for 2.4 × 1.25 oe 2(c)(i) 84 2 140 M1 for [× k] oe where k = 1, 2 or 3 2  3 2(c)(ii) 234 1 2(c)(iii) 470.40 cao 2  12  M1 for 420   1   oe  100  or B1 for 50.40

This question in 0580/33 May/June 2024

Q70 · Jack does a survey about cycling 0580/31 Oct/Nov 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

Q71 · This is a recipe to make ice cream for 6 people 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

Q72 · Samir leaves home at 2 pm 0580/31 Oct/Nov 2024

9 Samir leaves home at 2 pm. He jogs 6 km to a café at a constant speed of 8 km per hour. He stops to rest for 1 hour. He then walks back home at a constant speed and arrives at 4.36 pm. (a) On the grid, draw a travel graph to show Samir’s whole journey. 8 7 Café 6 Distance 5 from home (km) 4 3 2 1 0 2 pm 2.30 pm 3 pm 3.30 pm 4 pm 4.30 pm 5 pm Time [3] (b) Calculate Samir’s average speed for the whole journey. … km/h [3]

6 marks

Mark scheme: 9(a) Three correct ruled lines 3 B1 for a line from (2pm, 0) to (2 45, 6) B1FT for a line from (their 2 45, their 6) to (their 2 45 + 1, their 6) B1FT for a line from (their 2 45 + 1, their 6) to (4 36, 0) 9(b) 4.62 or 4.615… 3 12 M2 for  60 oe 156 or M1 for 12 ÷ their time

This question in 0580/31 Oct/Nov 2024

Q73 · Onions cost $1.85 per kilogram and potatoes cost $2.34 per kilogram 0580/32 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

Q74 · Write the number 845 024 in words 0580/33 Oct/Nov 2024

2 (a) Write the number 845 024 in words. … [1] (b) Write these numbers in order, starting with the smallest. 7 15 39% 0.388 18 40 … 1 … 1 … 1 … [2] smallest (c) Find the value of (i) 45 … [1] (ii) 60 … [1] (iii) 16 # 49 . … [1] (d) Solve. 6x + 5 = 29 x = … [2] (e) By writing each number in the calculation correct to 1 significant figure, find an estimate for the value of 2.7 # 42.4 . 8.6 - 4.3 You must show all your working. … [2] (f) 3 5 # 3 x = 3 20 Find the value of x. x = … [1] (g) Simplify ( x4 ) 3. … [1] (h) A boat to town A leaves a port every 16 minutes. A boat to town B leaves the same port every 34 minutes. Both boats leave the port at 07 30. Work out the next time both boats leave the port together. … [3]

15 marks

Mark scheme: 2(a) Eight hundred and forty five thousand 1 and twenty four 2(b) 15 7 2 0.388 39% 40 18 B1 for 3 in the correct order Or M1 for 0.389 or 0.3888 or 0.3889 and 0.39 and 0.375 2(c)(i) 1024 1 2(c)(ii) 1 1 2(c)(iii) 28 1 2(d) 4 2 5 29 M1 for 6x = 29 – 5 or x + = oe 6 6 2(e) 3  40 M1 9 – 4 24 A1 If 0 scored SC1 for 3 correct from 3, 40, 9 and 4 or for all correct but with trailing zeros 2(f) 15 1 2(g) x12 1 2(h) 12 02 3 B2 for 272 or 4 h 32 mins or M1 for 272k or 2  2  2  2  17 oe or [16 = ] 2  2  2  2 and [34 = ] 2  17 or 2 correct factor trees/tables of both 16 and 34 OR M2 for listing times/multiples of both 16 and 34 to at least 1202 or 272 or M1 for listing at least the next 2 of each or 1 full list

This question in 0580/33 Oct/Nov 2024

Q75 · A wedding invitation is in the shape of a rectangle 0580/33 Oct/Nov 2024

3 (a) A wedding invitation is in the shape of a rectangle. Draw the lines of symmetry on this rectangle. [2] (b) There are 98 adults and 56 children at the wedding. Find the fraction of people who are children. Give your fraction in its simplest form. … [2] (c) The wedding meal starts at 13 15 and lasts for 2 hours 50 minutes. Find the time the meal ends. … [1] (d) The probability that it will rain at the wedding is 0.12 . Find the probability that it will not rain. … [1] (e) (i) These are the ages of the staff at the wedding. 16 24 39 28 17 48 31 33 17 29 40 25 Complete the stem-and-leaf diagram. 1 2 3 4 Key: 1|6 represents 16 [2] (ii) Find the range. … [1]

9 marks

Mark scheme: 3(a) 2 correct lines only 2 B1 for one correct line with no extras or 2 correct and 1 extra 3(b) 4 2 M1 for 98 + 56 cao 11 3(c) 16 05 1 3(d) 0.88 1 3(e)(i) 1 6 7 7 2 B1 for two or three rows correct or a fully 2 4 5 8 9 correct unordered stem-and-leaf diagram 3 1 3 9 4 0 8 3(e)(ii) 32 1 FT their (e)(i) dep. on an ordered table

This question in 0580/33 Oct/Nov 2024

Q76 · 1 Taj is 3 years old 0580/32 Feb/March 2025

1 1 Taj is 3 years old. 4 Work out her age in months. … months [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 39 1

This question in 0580/32 Feb/March 2025

Q77 · Calculate the number of months in 5 years 0580/31 May/June 2025

4 Calculate the number of months in 5 years. … [1]

1 marks

Mark scheme: 4 60 1

This question in 0580/31 May/June 2025

Q78 · A plane leaves Seattle at 07 30 on Tuesday and arrives in Seoul 10 hours and 55 minutes… 0580/31 May/June 2025

11 A plane leaves Seattle at 07 30 on Tuesday and arrives in Seoul 10 hours and 55 minutes later. The local time in Seoul is 16 hours ahead of the local time in Seattle. Work out the day and time in Seoul when the plane arrives. Day … Time … [3]

3 marks

Mark scheme: 11 Wednesday and 10 25 3 B2 for 10 25 or B1 for one correct time calculation or M1 for 07 30 + 10 55 + 16 00

This question in 0580/31 May/June 2025

Q79 · Write 3.45 pm using the 24-hour clock 0580/32 May/June 2025

1 Write 3.45 pm using the 24-hour clock. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 15 45 1

This question in 0580/32 May/June 2025

Q80 · A train leaves station A at 13 44 0580/32 May/June 2025

7 A train leaves station A at 13 44. The train arrives at station B after 3 hours and 30 minutes. (a) Work out the time the train arrives at station B. … [1] (b) The distance between station A and station B is 210 km. Calculate the average speed of the train in km/h. … km/h [1]

2 marks

Mark scheme: 7(a) 17 14 1 7(b) 60 1

This question in 0580/32 May/June 2025

Q81 · Tim drives home from work 0580/33 May/June 2025

4 Tim drives home from work. The travel graph shows his journey. Work 36 30 Distance 24 from home (km) 18 12 6 Home 0 14 00 14 30 15 00 15 30 Time (a) Write down the time Tim leaves work. … [1] (b) Tim stops on the way home. (i) Find how far Tim travels before he stops. … km [1] (ii) Find how long Tim stops for. … min [1]

3 marks

Mark scheme: 4(a) 14 10 1 4(b)(i) 24 1 4(b)(ii) 20 1

This question in 0580/33 May/June 2025

Q82 · 7 The local time in Japan is 3 hours ahead of the local time in India 0580/33 May/June 2025

1 7 The local time in Japan is 3 hours ahead of the local time in India. 2 Find the time in Japan when it is 21 45 in India. … [1]

1 marks

Mark scheme: 7 01 15 1

This question in 0580/33 May/June 2025

Q83 · Bob travels from town A to town B 0580/31 Oct/Nov 2025

16 Bob travels from town A to town B. The travel graph shows his journey. 600 500 400 Distance from town A (km) 300 200 100 0 08 00 09 00 10 00 11 00 12 00 13 00 14 00 15 00 Time (a) Between which two times did Bob stop for a rest? Explain how you know. … and … because … … [2] (b) Calculate Bob’s average speed, in km/h, for the whole journey. … km/h [3]

5 marks

Mark scheme: 16(a) 10 30 and 11 15 1 line is horizontal oe 1 distance remains the same oe 16(b) 100 nfww 3 M2 for 625 ÷ 6.25 or M1 for 625 ÷ their time

This question in 0580/31 Oct/Nov 2025

Q84 · A train to town P leaves a station every 20 minutes 0580/31 Oct/Nov 2025

22 (a) A train to town P leaves a station every 20 minutes. A train to town Q leaves the same station every 35 minutes. Both trains leave at 09 30. Find the next time both trains leave together. … [3] (b) The distance, d km, between town P and town Q is 97 km, correct to the nearest kilometre. Complete the statement about the value of d. … G d 1 … [2]

5 marks

Mark scheme: 22(a) 11 50 3 B2 for 140 or 2 hr 20 mins or M1 for 140k or 2  2  5  7 or [20 =] 2  2  5 and [35 =] 5  7 or two correct factor trees/tables of both 20 and 35 OR M2 for listing correct times/multiples of both 20 and 35 to at least 1150 or 140 or M1 for listing at least 3 correct of each or one full list 22(b) 96.5 97.5 2 B1 for each in correct position If 0 scored SC1 for both correct but reversed

This question in 0580/31 Oct/Nov 2025

Q85 · Ada works from Monday to Friday 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

Q86 · Work out the number of seconds in six and a half hours 0580/33 Oct/Nov 2025

8 Work out the number of seconds in six and a half hours. … seconds [1]

1 marks

Mark scheme: 8 23 400 1

This question in 0580/33 Oct/Nov 2025