Time — Paper 1 · IGCSE Mathematics 0580

19 In New Zealand, a bus leaves New Plymouth at 8.10 am and arrives in Wellington at 2.55 pm. For Examiner's (a) How long, in hours and minutes, does the journey take? Use Answer(a) h min [1] (b) The distance from New Plymouth to Wellington is 355 kilometres. Calculate, in kilometres per hour, the average speed for the journey. Answer(b) km/h [3]

4 marks

Mark scheme: 19 (a) 6 (hours) 45 (minutes) 1 16 (b) rounds to 52.6 or 52 3f.t. 3 27 B1 for 6.75 or 6 oe used or 4 his time correctly converted to hours. M1 for 355 ÷ his time. (any form) (55.0…or 0.87….ww implies M1) A1 f.t. provided his (a) correctly converted to hours.

This question in 0580/11 Oct/Nov 2004

22 For Examiner's DISTANCE 15 Use FROM HOME (km) 14 13 School 12 11 10 9 8 7 6 Friend's House 5 4 3 2 1 Home 0 7 30 8 00 8 30 9 00 TIME (am) Ricardo rode to his friend’s house. He waited for his friend to get ready. Then they cycled together to school. Ricardo’s journey is shown on the grid. (a) Work out the speed at which Ricardo cycled to his friend’s house. Answer (a) km/h [2] (b) How long did he wait for his friend? Answer (b) min [1] (c) Ricardo’s brother left home at 8 00 am. For He cycled directly to school at a constant speed of 15 kilometres per hour. Examiner's Draw his journey on the grid opposite. Use [1] (d) How many minutes earlier than Ricardo did his brother arrive at school? Answer (d) min [1]

5 marks

Mark scheme: 22 (a) 10 2 M1 for use of distance ÷ time with figures. 5/0.5, 5/30, 5/6, 5/0.30 only. Not 5/8.00, 5/0.3 (b) 20 1 (c) on the graph 1 ruled single line from 8.00 am home continued to school, 12 km line. Ignore beyond 12 km line must cross within square (d) 12 1ft ft their intended single ‘straight’ line (need not be (allow 10 < time < 15) ruled) and within a square, not on the boundary (allow 12 from unless actually on a boundary calculation)

This question in 0580/11 May/June 2005

14 (a) Pierre arrives at school at 08 40 and leaves at 15 30. How long, in hours and minutes, is he in school? Answer(a) h min [1] (b) Each day, Pierre gets up at 07 00 and goes to bed at 22 00. What percentage of each day is he in bed? Answer(b) % [2]

3 marks

Mark scheme: 14 (a) 6 (h) 50 (min) 1 (b) 37.5 (%) 2 B1 for 9 (hours) seen or M1 for c’s 9 ÷ 24 x 100

This question in 0580/11 May/June 2006

18 100 B 80 60 Distance from A 40 (km) 20 A 10 00 11 00 12 00 13 00 14 00 15 00 Time of day (a) Carla drives from town A to a supermarket. At 11 00 she continues her journey to town B, driving at 80 km/h. The first part of the journey is shown on the grid above. (i) How many minutes is Carla at the supermarket? Answer(a) (i) min [1] (ii) Draw the rest of her journey to town B on the grid. [1] (b) Carla spends 1 hour in town B and then drives back to town A, at a constant speed, arriving at 14 30. Show this information on the grid. [2]

4 marks

Mark scheme: 18 (a)(i) 30 1 (ii) Straight line from (11 00, 20) to (11 45, 80) 1 Ignore all beyond (11 45, 80) (b) ‘Correct’ horizontal line 1 Horizontal line @ 80, 4 units long. ‘Correct’ return journey line 1 Line to (14 30, 0) 19 IGCSE - OCT/NOV 2006 0580, 0581 1

This question in 0580/11 Oct/Nov 2006

11 For Examiner's City centre 11 15 12 30 13 10 13 40 Use Heatherton 11 25 12 40 13 20 13 50 Rykneld 11 29 12 44 13 24 13 54 The table above is part of a bus timetable. (a) The 11 15 bus left the City centre on time and arrived at Rykneld 2 minutes early. How many minutes did it take to reach Rykneld? Answer(a) min [1] (b) Paulo walked to the bus stop at Heatherton and arrived at 12 56. The next bus arrived on time. How many minutes did Paulo wait for the bus? Answer(b) min [1]

2 marks

Mark scheme: 11 (a) 12 1 (b) 24 1

This question in 0580/11 Oct/Nov 2008

9 A train sets off at 11 53 on a journey to Mumbai. The journey takes 2 hours 30 minutes. (a) Write down the time when the train arrives in Mumbai. Answer(a) [1] (b) The distance to Mumbai is 235 kilometres. Calculate the average speed of the train. Answer(b) km/h [2]

3 marks

Mark scheme: 9 (a) 14 23 isw or 2.23 pm isw. 1 Not 02 23 or 2 23 alone. Not 14h(ours)23 (b) 94 2cao M1 for 235 ÷ 2.5 (or 2h 30min or 150) Method mark is for formula with values.

This question in 0580/11 Oct/Nov 2009

9 A train sets off at 10 48 on a journey to Mumbai. The journey takes 4 hours 30 minutes. (a) Write down the time when the train arrives in Mumbai. Answer(a) [1] (b) The distance to Mumbai is 441 kilometres. Calculate the average speed of the train. Answer(b) km/h [2]

3 marks

Mark scheme: 9 (a) 15 18 isw or 3.18 pm isw. 1 Not 03 18 or 3 18 alone. Not 15h(ours)18 (b) 98 2cao M1 for 441 ÷ 4.5 (or 4h 30min or 270) Method mark is for formula with values.

This question in 0580/12 Oct/Nov 2009

1 A ferry to Crete leaves at 07 30. Examiner's The journey takes 2 hours and 48 minutes. Use Work out the time when the ferry arrives in Crete. Answer [1]

1 marks

Mark scheme: Qu. Answers Mark Part Marks 1 10 18 (am) 1 4 2 (a) 41% 0.43 1 accept decimals 9 1 (b) 0.3 < only 1 3 3 21

This question in 0580/11 May/June 2010

5 Examiner's North Use NOT TO SCALE North 107° M P The bearing of P from M is 107°. Work out the bearing of M from P. Answer [2]

2 marks

Mark scheme: 5 287° 2 W1 for 73 or 107 marked in correct position at P or M1 107 + 180

This question in 0580/11 May/June 2010

5 A plane from Hong Kong to New Zealand leaves at 18 10 on Monday. The time in New Zealand is 4 hours ahead of the time in Hong Kong. (a) Write down the time in New Zealand when the plane leaves Hong Kong. Answer(a) [1] (b) The plane arrives in New Zealand at 09 45 on Tuesday. How long, in hours and minutes, does the journey take? Answer(b) h min [1]

2 marks

Mark scheme: 5 (a) 22 10, 22:10, 22.10, 10 10pm 1 (b) 11(h) 35(min) 1ft Follow through time period from their (a) to 09 45

This question in 0580/12 May/June 2010

2 A train to Paris leaves at 06 30. The journey takes 3 hours and 56 minutes. Work out the time when the train arrives in Paris. Answer [1]

1 marks

Mark scheme: 2 10 26 (am), 10:26, 10.26 1

This question in 0580/13 May/June 2010

20 Examiner's Use 100 Garage 90 80 70 Distance (kilometres) 60 50 Café 40 30 20 10 Factory 0 0 1 2 3 4 5 6 7 8 9 Time (hours) The travel graph shows part of the journey of a truck driver. The driver leaves a factory to deliver tyres to a garage. After unloading the tyres, the driver returns to the factory, but stops at a café for 1 hour. He then completes the journey at an average speed of 80 km/h. (a) Calculate the average speed of the truck on its journey from the factory to the garage. Answer(a) km/h [1] (b) Write down the length of time the truck stays at the garage. Answer(b) hours [1] (c) Complete the travel graph. [2]

4 marks

Mark scheme: 20 (a) 45 1 (b) 1.5 o.e. 1 Allow 1 h(our) 30(min) or 1:30 (c) horizontal line from 1 (5.5, 40) to (6.5, 40) diagonal line from their 1ft Independent (x, 40) to (x + ½ , 0) √ 2 2 √

This question in 0580/13 May/June 2010

14 A train leaves Barcelona at 21 28 and takes 10 hours and 33 minutes to reach Paris. (a) Calculate the time the next day when the train arrives in Paris. Answer(a) [1] (b) The distance from Barcelona to Paris is 827 km. Calculate the average speed of the train in kilometres per hour. Answer(b) km/h [3]

4 marks

Mark scheme: 14 (a) (0)8(.)01(am) 1 Not 8.01 pm (b) 78.4 or 78.38 to 78.39 3 M2 for 827 ÷ 10.55 or M1 for figs 827 ÷ their time

This question in 0580/11 May/June 2011

15 (a) The table shows part of a railway timetable. For Examiner's Use arrival time 12 58 13 56 14 54 15 52 Peartree Station departure time 13 07 14 05 15 03 16 01 (i) Each train waits the same number of minutes at Peartree Station. Write down how many minutes each train waits. Answer(a)(i) min [1] (ii) Janine is at Peartree Station at 3 pm. At what time does the next train depart? Answer(a)(ii) [1] (b) The average temperature each month in Moscow and Helsinki is recorded. The table shows this information from January to June. January February March April May June Temperature in −16 −14 −8 1 8 11 Moscow (°C) Temperature in −9 −10 −7 −1 4 10 Helsinki (°C) (i) Find the difference in temperature between Moscow and Helsinki in January. Answer(b)(i) °C [1] (ii) Find the increase in temperature in Helsinki from March to June. Answer(b)(ii) °C [1]

4 marks

Mark scheme: 15 (a) (i) 9 1 (ii) 15 03, 3.03pm 1 (b) (i) 7 or −7 1 (ii) 17 1

This question in 0580/11 May/June 2011

11 The table shows the opening and closing times of a café. For Examiner's Use Mon Tue Wed Thu Fri Sat Sun Opening time 0600 0600 0600 0600 0600 (a) 0800 Closing time 2200 2200 2200 2200 2200 2200 1300 (a) The café is open for a total of 100 hours each week. Work out the opening time on Saturday. Answer(a) [2] (b) The owner decides to close the café at a later time on Sunday. This increases the total number of hours the café is open by 4%. Work out the new closing time on Sunday. Answer(b) [1]

3 marks

Mark scheme: 11 (a) (0)700 or 7 am 2 M1 100 – (5 × their(22 – 6) + their(13 – 8)) or better soi (b) 1700 or 5 pm 1 IGCSE – May/June 2011 0580 12

This question in 0580/12 May/June 2011

19 (a) The travel graph on the opposite page shows Joel’s journey to his school. For He walks to the bus stop and waits for the bus, which takes him to the school. Examiner's Use (i) How long did Joel wait for the bus? Answer(a)(i) min [1] (ii) Find the distance from the bus stop to the school. Answer(a)(ii) km [1] (b) Joel’s sister, Samantha, leaves home 14 minutes later than Joel to cycle to the same school. She cycles at a constant speed and arrives at the school at 08 16. (i) On the grid, show her journey. [1] (ii) At what time did the bus pass Samantha? Answer(b)(ii) [1] (iii) How far from the school was she when the bus passed her? Answer(b)(iii) km [1] (iv) How many minutes after Joel did Samantha arrive at the school? Answer(b)(iv) min [1] 10 For Examiner's Use School 9 8 7 6 Distance 5 (km) 4 3 2 1 Home 0 07 00 07 10 07 20 07 30 07 40 07 50 08 00 08 10 08 20 Time

6 marks

Mark scheme: 19 (a) (i) 8 (min) 1 (ii) 7.8 (km) 1 (b) (i) Ruled line from 1 Ignore line continued above school. (07 20, 0) to (08 16, 9.4) (ii) (0)7 38 to (0)7 40 1ft Follow through their graph (iii) 5.8 (km) to 6.4 (km) 1ft Follow through their graph. (iv) 17 to 19 (min) 1ft Follow through their graph

This question in 0580/12 May/June 2011

3 Write down the time and date which is 90 hours after 20 30 on May 31st. Answer Time Date [2]

2 marks

Mark scheme: 3 14 30 or (0) 2:30 pm 1 June 4th oe 1

This question in 0580/13 May/June 2011

20 For School 900 Examiner's Use 800 700 600 500 Distance (metres) 400 300 Friend’s house 200 100 Home 0 08 00 08 05 08 10 08 15 08 20 08 25 08 30 Time The graph shows part of Ali’s journey from home to his school. The school is 900 m from his home. He walks 200 m to his friend’s house and waits there. He then takes 20 minutes to walk with his friend to their school. (a) Complete the travel graph showing Ali’s journey. [1] (b) How long does he wait at his friend’s house? Answer(b) min [1] (c) Calculate the average speed for Ali’s complete journey from home to his school. Give your answer in kilometres per hour. Answer(c) km/h [4]

6 marks

Mark scheme: 20 (a) Straight ruled line from 1 (08 10, 200) to (08 30, 900) (b) 5 1 (c) 1.8 4 M1 for total distance ÷ total time M1 for converting time to hours M1 for converting metres to km

This question in 0580/13 May/June 2011

3 A bus leaves a port every 15 minutes, starting at 09 00. The last bus leaves at 17 30. How many times does a bus leave the port during one day? Answer [2]

2 marks

Mark scheme: 3 3 35 2 M1 for 4 × 8 + 3 or 4 × 8 4 1 525 510 or 4 × 8 + 1 or or + 1 2 15 15 SC1 for answer 34

This question in 0580/12 Oct/Nov 2011

3 Work out the number of minutes from 18 27 on Tuesday to 03 19 on Wednesday. Answer min [2]

2 marks

Mark scheme: 3 532 2 M1 for 5(h)33(min) + 3(h)19(min)

This question in 0580/11 May/June 2012

20 For Distance from Examiner's Lola’s house (km) Use 14 Sarah’s house 12 10 8 6 4 2 Lola’s house 0 14 00 14 30 15 00 15 30 16 00 16 30 17 00 17 30 Time The travel graph shows Lola’s journey from her house to Sarah’s house. (a) Lola stopped at a shop on the way to Sarah’s house. For how many minutes did she stop? Answer(a) min [1] (b) Write down the time she arrived at Sarah’s house. Answer(b) [1] (c) Calculate Lola’s average speed from leaving the shop to arriving at Sarah’s house. Give your answer in kilometres per hour. Answer(c) km/h [2] (d) Lola stayed at Sarah’s house for 1 hour 20 minutes. She then cycled home without stopping. Her journey took 50 minutes. Complete the travel graph. [2]

6 marks

Mark scheme: 20 (a) 10 1 (b) 15 10 1 2 (c) 9 [km/h] 2 M1 for 6 ÷ or 6 ÷ 40 or better 3 (d) horizontal line from (15 10, 12) 1 ‘their 16 30’ + 50 minutes to (16 30, 12) line from (16 30, 12) to (17 20, 0) 1 ft

This question in 0580/11 Oct/Nov 2012

14 A shop is open during the following hours. Monday to Friday Saturday Sunday Opening time 06 45 07 30 08 45 Closing time 17 30 17 30 12 00 (a) Write the closing time on Saturday in the 12-hour clock time. Answer(a) [1] (b) Calculate the total number of hours the shop is open in one week. Answer(b) h [2]

3 marks

Mark scheme: 14 (a) 5 30 pm 1 (b) 67 2 M1 for 10h 45min and 3h 15min, oe seen or 53.75 and 3.25 or 53.45 and 3.15

This question in 0580/12 Oct/Nov 2012

4 Calculate the number of seconds in 3 hours. Answer … s [1] _____________________________________________________________________________________

1 marks

Mark scheme: 4 10800 1

This question in 0580/12 May/June 2013

3 The time in Lisbon is the same as the time in Funchal. A plane left Lisbon at 08 30 and arrived in Funchal at 10 20. It then left Funchal at 12 55 and returned to Lisbon. The return journey took 15 minutes more. What time did the plane arrive in Lisbon? Answer … [2] _____________________________________________________________________________________

2 marks

Mark scheme: 3 1500 or 3 pm 2 B1 for 1h50 or 2h[0]5 or SC1 for 1255 + their 1h 50 + 15mins correctly evaluated 4 30 k oe www 2 M1 for 30 seen or seen 300 300

This question in 0580/13 May/June 2013

20 A bus company in Dubai has the following operating times. Starting Finishing Day time time Saturday 06 00 24 00 Sunday 06 00 24 00 Monday 06 00 24 00 Tuesday 06 00 24 00 Wednesday 06 00 24 00 Thursday 06 00 24 00 Friday 13 00 24 00 (a) Calculate the total number of hours that the bus company operates in one week. Answer(a) … h [3] (b) Write the starting time on Friday in the 12-hour clock. Answer(b) … [1] __________________________________________________________________________________________

4 marks

Mark scheme: 20 (a) 119 3 M2 for 18 × 6 + 11 oe or B1 for 18 or 11 or 108 (b) [0]1 [00] pm cao 1 2

This question in 0580/11 May/June 2014

12 Colin is travelling from Sydney, Australia, to Auckland, New Zealand. (a) Colin’s bus leaves for Sydney airport at 12 38. The bus arrives at the airport at 13 24. How many minutes does the bus journey take? Answer(a) … min [1] (b) Colin’s fl ight from Sydney to Auckland leaves at 14 45 local time and takes 3 hours 20 minutes. The time in Auckland is 2 hours ahead of the time in Sydney. What is the local time in Auckland when his fl ight arrives? Answer(b) … [2] __________________________________________________________________________________________

3 marks

Mark scheme: 12 (a) 46 1 (b) 20 05 or 8 05 pm 2 M1 for adding 3 h 20 min and 2 hours to 14 45 or B1 for 18 05 or 6 05 pm or 16 45 or 4 45 pm or 20 h [0]5 or 20 05 pm or 20 05 am IGCSE – May/June 2014 0580 12

This question in 0580/12 May/June 2014

25 William Toby Town 4 3 Distance 2 (km) 1 Home 0 10 00 10 04 10 08 10 12 10 16 10 20 10 24 10 28 10 32 Time Toby and William cycled into town. Their journeys are shown on the travel graph. (a) For how many minutes did Toby stop on his journey into town? Answer(a) … min [1] (b) Explain what happened at 10 20. Answer(b) … [1] (c) Work out how long William took to cycle into town. Answer(c) … min [1] (d) Calculate William’s speed in km/h. Answer(d) … km/h [2] __________________________________________________________________________________________

5 marks

Mark scheme: 25 (a) 6 1 (b) They are at the same place at the same time 1 (c) 16 1 (d) 15 cao 2 M1 FT for 4 × 60 oe their ( c ) IGCSE – May/June 2014 0580 13

This question in 0580/13 May/June 2014

15 (a) A parcel is in the shape of a cuboid of length 18 cm, width 10 cm and height 8 cm. Calculate the volume of the parcel. Answer(a) … cm3 [2] (b) The mass of the parcel is 1.7 kilograms. Change 1.7 kilograms to grams. Answer(b) … g [1] __________________________________________________________________________________________

3 marks

Mark scheme: 15 (a) 1440 2 M1 for 18 × 10 × 8 (b) 1700 1

This question in 0580/13 Oct/Nov 2014

1 There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015? Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: Qu Answer Mark 1 Sunday 1

This question in 0580/11 May/June 2015

20 (a) Maria travels by bus to the shopping mall. She leaves home at 11 50 and arrives at the shopping mall at 12 17. How many minutes does it take Maria to travel from home to the shopping mall? Answer(a) … min [1] (b) Shopping mall 5 4 3 Distance from home (km) 2 1 Home 0 14 00 14 15 14 30 14 45 15 00 15 15 15 30 15 45 16 00 Time Maria walks home from the shopping mall. The travel graph shows part of her journey. (i) Maria stops at her friend’s house on the way home. How far from the shopping mall does her friend live? Answer(b)(i) … km [1] (ii) Maria leaves her friend’s house at 14 55. She walks the rest of the way home at a constant speed of 4 km/h. Complete the travel graph. [2] __________________________________________________________________________________________

4 marks

Mark scheme: 20 (a) 27 1 (b) (i) 2 1 3 (ii) Ruled line from 14 55 to 2 B1 for or 0.75 or 45 [min] or 15 40 or 3:40 4 15 40

This question in 0580/11 Oct/Nov 2015

4 Find the number of minutes between 17 53 and 7.26 pm. … min [1]

1 marks

Mark scheme: 4 93 1

This question in 0580/12 Feb/March 2016

1 A train leaves Zurich at 22 40 and arrives in Vienna at 07 32 the next day. Work out the time taken. … h … min [1]

1 marks

Mark scheme: Question Answer Mark Part marks 1 8(h) 52 (min) 1

This question in 0580/11 May/June 2016

23 10 Sports 8 centre 6 Distance (km) 4 2 Home 0 15 30 15 45 16 00 16 15 16 30 16 45 17 00 17 15 17 30 17 45 Time Sonali cycles from home to the sports centre. The travel graph shows her journey. (a) At what time does she arrive at the sports centre? … [1] (b) Work out Sonali’s cycling speed in kilometres per hour. … km/h [2] (c) Sonali stays at the sports centre for 45 minutes. She then takes 30 minutes to cycle home. Complete the travel graph. [2]

5 marks

Mark scheme: 23 (a) 16 10 or 4 10 pm 1 (b) 12 2 M1 for 8 ÷ 40 or better (c) Line from (16 10, 8) to (16 55, 8) 1 Line from (16 55, 8) to (17 25, 0) 1FT FT line from their (16 55, 8) to ((their 16 55 + 30 mins), 0)

This question in 0580/12 May/June 2016

17 The table shows the opening hours of a doctor’s surgery. Day Opening hours Monday 09 00 – 14 00 Tuesday 09 00 – 14 00 Wednesday 09 00 – 16 30 Thursday 09 00 – 14 00 Friday 09 00 – 18 30 Saturday 08 30 – 12 30 Sunday CLOSED Work out the total number of hours the surgery is open during a week. … hours [3]

3 marks

Mark scheme: 17 36 3 M2 for 5 × 3 + 7.5 + 9.5 + 4 oe or M1 for two of 5, 7.5, 9.5 and 4 2 

This question in 0580/13 Oct/Nov 2016

4 Green Lane School ends each day at 3.45 pm. (a) Show this time on the clock. 12 11 1 10 2 9 3 8 4 7 5 6 [1] (b) Write 3.45 pm using the 24-hour clock. … [1]

2 marks

Mark scheme: 4(a) Time correctly drawn on clock face 1 4(b) 15 45 1

This question in 0580/13 May/June 2017

1 Ahmed drives his car from London to Cambridge. He leaves London at 07 45 and arrives in Cambridge at 10 17. Work out the time, in hours and minutes, that he takes to drive from London to Cambridge. … h … min [1]

1 marks

Mark scheme: Question Answer Marks Partial marks 1 2h 32 min 1

This question in 0580/13 Oct/Nov 2017

1 One morning, Marcia works from 08 20 to 11 15. Find how long she works for. Give your answer in hours and minutes. … h … min [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 2[h] 55[min] 1

This question in 0580/12 May/June 2018

7 The bearing of a lighthouse from a coastguard station is 113°. Work out the bearing of the coastguard station from the lighthouse. … [2]

2 marks

Mark scheme: 7 293° 2 M1 for 113 + 180 oe or a sketch with the correct angle identified

This question in 0580/12 May/June 2018

14 Shohan cycles from home to the library. He stops at the post office on the way. The travel graph shows his journey. 10 Library 8 Distance 6 from home (km) 4 2 Home 0 10 00 10 15 10 30 10 45 11 00 11 15 11 30 11 45 12 00 Time (a) Write down the time Shohan arrives at the post office. … [1] (b) Shohan stays at the library for 25 minutes. He then cycles home at a constant speed of 18 km/h. Complete the travel graph. [2]

3 marks

Mark scheme: 14(a) 10 25 1 14(b) Graph completed correctly 2 B1 for line from (10 55, 9) to (11 20, 9) B1 FT for line from (their 11 20, 9) to (their 11 20 + 30 min, 0)

This question in 0580/11 Oct/Nov 2018

1 A mathematics lesson starts at 11 05. The lesson lasts for 75 minutes. Work out the time that the lesson ends. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 12 20 1

This question in 0580/12 Feb/March 2019

21 The travel graph shows Michael’s journey from his home to the beach. Beach 12 10 8 Distance (km) 6 4 2 Home 0 08 00 08 30 09 00 09 30 10 00 10 30 11 00 Time (a) At what time did he start his journey? … [1] (b) On the journey he stopped for a rest. (i) Find the distance he was from home when he stopped for a rest. … km [1] (ii) For how many minutes did he stop? … min [1] (c) Explain how the graph shows that Michael travelled faster before he stopped than after he stopped. … [1]

4 marks

Mark scheme: 21(a) [0]8 10 1 21(b)(i) 8 1 21(b)(ii) 30 1 21(c) Line is steeper 1 accept any correct reason

This question in 0580/11 May/June 2019

22 Gerry and Alain run around a running track. To run around the track once • Gerry always takes 90 seconds • Alain always takes 105 seconds. They start together at the same point. After how many minutes are they next together at that point? … min [3]

3 marks

Mark scheme: 22 10.5 oe isw 3 B2 for 630 or M1 for 630k or B1 for 3 correct multiples of each

This question in 0580/12 May/June 2019

6 Sara walks from home to school. The travel graph shows her journey. 3 School 2 Distance (km) 1 Home 0 08 00 08 10 08 20 08 30 08 40 08 50 09 00 Time (a) Sara stops at a shop on her way to school. Find the distance of the shop from her home. … km [1] (b) School starts at 08 55. Find the number of minutes between the time Sara arrives at school and the time school starts. … min [1]

2 marks

Mark scheme: 6(a) 1.2 1 6(b) 10 1

This question in 0580/12 Oct/Nov 2019

1 (a) Write 3.25 pm in the 24-hour clock. … [1] (b) Work out the time 7 hours and 36 minutes before 13 26. … [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 15 25 1 1(b) 05 50 1

This question in 0580/12 Feb/March 2020

6 The month of July has 31 days. Calculate the number of seconds in the month of July. … seconds [2]

2 marks

Mark scheme: 6 2 678 400 2 M1 for [31 × ] 24 × 60 × 60 or for 31 × 24 [× 60][× 60] s

This question in 0580/12 Feb/March 2020

6 (a) Diego flies from Madrid to Buenos Aires. His flight leaves at 20 55 and arrives at 03 50 local time. The local time in Buenos Aires is 5 hours behind the local time in Madrid. Work out, in hours and minutes, the time the flight takes. … h … min [2] (b) Diego changes 200 euros into Argentine Peso. The exchange rate is 1 euro = 24.8 pesos. Work out how many pesos he receives. … pesos [1] (c) The distance between Madrid and Buenos Aires is 10 050 km. Diego’s return flight takes 12 hours 30 minutes. Calculate the average speed, in km/h, for the return flight. … km/h [1]

4 marks

Mark scheme: 6(a) 11[h] 55[min] 2 B1 for 08 50 or 15 55 or 6[h] 55[min] seen 6(b) 4960 1 6(c) 804 1

This question in 0580/11 May/June 2020

4 A train from Woodton to Northley takes 6 hours 25 minutes. The train leaves Woodton at 19 46. Work out the time the train arrives at Northley. … [1]

1 marks

Mark scheme: 4 02 11 1

This question in 0580/13 May/June 2020

7 Hua cycles from her home to the library. The travel graph shows this journey. Library 12 11 10 9 8 Distance from home 7 (km) 6 5 4 3 2 1 Home 0 10 00 10 30 11 00 11 30 12 00 Time (a) At what time does she start her journey? … [1] (b) (i) Find her distance from home when she stops for a rest. … km [1] (ii) How long does she stop for a rest? … min [1] (c) Hua stays at the library for 10 minutes. She then cycles home at a constant speed of 24 km/h. Complete the travel graph. [2]

5 marks

Mark scheme: 7(a) 10 10 [am] 1 7(b)(i) 8 1 7(b)(ii) 20 1 7(c) Line from 2 B1 for either line correct (11 10, 12) to (11 20, 12) and ruled line from (their11 20, 12) If zero scored, B1 for to (their11 20 + 30, 0) 30 [min] or half an hour or 0.5 [hours]

This question in 0580/11 Oct/Nov 2020

13 (a) Write 18 as the product of its prime factors. … [2] (b) At a bus stop • a red bus arrives every 18 minutes and • a blue bus arrives every 24 minutes. At 10 47 a red bus and a blue bus arrive. Find the next time when a red bus and a blue bus arrive together. … [3]

5 marks

Mark scheme: 13(a) 2 × 32 or 2 × 3 × 3 2 B1 for 2, 3, 3 may be seen in a factor tree or table 13(b) 11 59 3 B2 for 23 × 32 soi by 72 or 1[h] 12[min] or correct times of both buses to 11 59 or B1 for correct times of one bus to 11 59 or M1 for 23 × 3 or for 18, 36, 54 [...] and 24, 48 [...] or listing times of next 4 red buses and next 3 blue buses, follow through max 1 error or omission in each list

This question in 0580/11 Oct/Nov 2020

5 Work out the number of hours in 3 days. … hours [1]

1 marks

Mark scheme: 5 72 1

This question in 0580/12 Oct/Nov 2020

6 (a) Change 2.7 kilometres into metres. … m [1] (b) Find the number of hours in 5 days. … h [1]

2 marks

Mark scheme: 6(a) 2700 1 6(b) 120 1

This question in 0580/11 Oct/Nov 2021

7 Hank flies from Los Angeles to Shanghai. (a) The flight departs on Friday 22 July at 21 40. The flight takes 13 hours 35 minutes. The local time in Shanghai is 15 hours ahead of the local time in Los Angeles. Find the day, date and time in Shanghai when Hank’s flight arrives. Day … , Date … , Time … [3] (b) The cost of the flight is $920. The exchange rate is $1 = 6.87 Chinese yuan. Find the cost of the flight in yuan. … yuan [1]

4 marks

Mark scheme: 7(a) Sunday 24 [July] 0215 3 B1 for Sunday 24th [July] as final answer B2 for 02 15 oe as final answer or B1 for sight of any of these 12 40 oe, 11 15 oe, 28h 35min, 50 15, 35 15 or 02 15 oe spoilt or M1 for departure time + 13h35min + 15h evaluated as a time with one interval correctly added 7(b) 6320.4[0] 1

This question in 0580/11 Oct/Nov 2021

15 Change 2.15 hours into minutes. … min [1]

1 marks

Mark scheme: 15 129 1

This question in 0580/12 Oct/Nov 2021

3 Find the number of minutes in 4 12 hours. … min [1]

1 marks

Mark scheme: 3 270 1

This question in 0580/13 Oct/Nov 2021

7 (a) Write 5.26 pm using the 24-hour clock. … [1] (b) A journey starts at 21 15 one day and ends at 04 33 the next day. Calculate the time taken, in hours and minutes. … h … min [1] (c) Change 10 260 seconds into hours. … hours [2]

4 marks

Mark scheme: 7(a) 1726 1 7(b) 7 [h] 18 [min] 1 7(c) 2.85 2 10260 M1 for 60 × 60 or B1 for 3600 seconds = 1 hour oe soi or 171

This question in 0580/12 Feb/March 2022

10 Jason starts a run at 10.05 am and finishes at 1.02 pm. Work out the time Jason takes to complete the run. … h … min [1]

1 marks

Mark scheme: 10 2 [h] 57 [m] 1

This question in 0580/11 May/June 2022

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

1 marks

Mark scheme: 2 40 1

This question in 0580/13 Oct/Nov 2022

6 Marco starts work at 20 45 and finishes at 02 08 the next day. Find the length of time, in hours and minutes, he works. … h … min [1]

1 marks

Mark scheme: 6 5[h] 23[min] 1

This question in 0580/13 Oct/Nov 2022

22 (a) 120 = 2 m # 3 # 5 Find the value of m. m = … [1] (b) One traffic light changes to red every 120 seconds. Another traffic light changes to red every 144 seconds. Both change to red at 10 00. Find the time at which they next change to red together. … [3]

4 marks

Mark scheme: 22(a) 3 cao 1 22(b) 10 12 3 B2 for 720 or 12 mins OR M1 for 720k or 2  2  2  2  3  3  5 or [144 =] 2  2  2  2  3  3 and [120 =] 2  2  2  3  5 or correct factor trees or tables of both 120 and 144 OR M2 for listing times/multiples of both 120 and 144 to at least 720 or 10 12 or M1 for listing at least 3 of each or one full list

This question in 0580/13 Oct/Nov 2022

14 An exam starts at 11 50 and lasts for 2 hours. 4 Work out the time that the exam finishes. … [1]

1 marks

Mark scheme: 4 14 05 1

This question in 0580/12 Feb/March 2023

6 Work out the number of seconds in 5 hours. … s [2]

2 marks

Mark scheme: 6 18 000 2 M1 for 5 × 60 × 60

This question in 0580/12 Feb/March 2023

1 Work out the number of months in 5 years. … months [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 60 1

This question in 0580/11 May/June 2023

6 A train journey starts at 21 43. It takes 8 hours and 32 minutes. Find the time the journey finishes. … [1]

1 marks

Mark scheme: 6 06 15 or 6:15am 1

This question in 0580/11 May/June 2023

20 Buses at a station go to the port or to the town. Buses leave every 28 minutes for the port. Buses leave every 48 minutes for the town. At 10 18 a bus for the port and a bus for the town leave the station together. Find the next time when a bus for the port and a bus for the town leave the station together. … [3]

3 marks

Mark scheme: 20 15 54 or 3 54 pm 3 B2 for 336 or 5 hr 36 mins or M1 for 336k or 2×2×2×2×3×7 or [28=] 2×2×7 and [48=] 2×2×2×2×3 or correct factor trees/tables of both 28 and 48 OR M2 for listing times/multiples of both 28 and 48 to at least 1554 or 336 or M1 for listing at least next 3 of each or one full list

This question in 0580/12 May/June 2023

11 A film lasts for 2 hours 50 minutes. The film ends at 23 05. Find the time the film starts. … [1]

1 marks

Mark scheme: 11 20 15 or [0]8.15pm 1

This question in 0580/13 May/June 2023

23 Bell A rings every 22 minutes. Bell B rings every 14 minutes. Both bells ring at 09 00. Work out the next time both bells ring together. … [3]

3 marks

Mark scheme: 23 11 34 3 B2 for 154 or 2h 34 mins or M1 for 154k or 2 × 7 × 11 or for [22 = ]11 × 2 and [14 =] 7 × 2 or two correct factor trees/tables of both 22 and 14 OR M2 for listing times or multiples for both bells to at least 11 34 or 154 or M1 for listing 3 of each or one full list

This question in 0580/12 Oct/Nov 2023

5 Tara goes on a journey by train. The train leaves at 06 48. The journey takes 12 hours and 35 minutes. Find the time when Tara arrives. … [1]

1 marks

Mark scheme: 5 19 23 or 7 23 pm 1

This question in 0580/13 Oct/Nov 2023

5 A night bus runs from 21 50 to 05 18 the next day. Work out the number of hours and minutes that the night bus runs. … h … min [1]

1 marks

Mark scheme: 5 7h 28min 1

This question in 0580/12 Feb/March 2024

3 The travel graph shows the journey of a bus. 14 12 10 8 Distance (km) 6 4 2 0 14 00 14 30 15 00 15 30 16 00 Time (a) Find the distance the bus travels in the first 50 minutes. … km [1] (b) Find how long, in minutes, the bus is stationary. … min [1]

2 marks

Mark scheme: 3(a) 10 1 3(b) 40 1

This question in 0580/11 May/June 2024

1 Jacob is 10 years 8 months old. Amy is 15 months younger than Jacob. Find how old Amy is. … years … months [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 9 5 1

This question in 0580/11 Oct/Nov 2024

4 A concert starts at 19 50 and finishes 2 hours 42 minutes later. Work out the time the concert finishes. … [1]

1 marks

Mark scheme: 4 22 32 or 10 32pm 1

This question in 0580/11 Oct/Nov 2024

9 A film starts at 19 35. The film lasts for 70 minutes. Work out the time the film finishes. … [1]

1 marks

Mark scheme: 9 2045 1

This question in 0580/12 Feb/March 2025

5 Complete this statement. 10 weeks is … days. [1]

1 marks

Mark scheme: 5 70 1

This question in 0580/12 May/June 2025

14 These are the ages, in months, of each of 12 children. 11 27 8 10 26 17 28 12 9 13 22 12 (a) Complete the stem-and-leaf diagram to show this information. 0 1 2 Key: 1 | 7 represents 17 months [2] (b) Find the number of children over 2 years old. … [1] (c) Show that the median is 12.5 . [1]

4 marks

Mark scheme: 14(a) 2 B1 for a correct ordered diagram with 0 8 9 one error or omission or for a correct but unordered stem-and- 1 0 1 2 2 3 7 leaf diagram 2 2 6 7 8 14(b) 3 1 14(c) 12 + 13 1 oe leading to 12.5 nfww 2

This question in 0580/11 Oct/Nov 2025

7 A journey starts at 10 55 and ends at 16 10. Find how long the journey takes. Give your answer in hours and minutes. … h … min [1]

1 marks

Mark scheme: 7 5[hours] 15[minutes] cao 1

This question in 0580/13 Oct/Nov 2025