Time — Paper 2 · IGCSE Mathematics 0580

3 At 05 06 Mr Ho bought 850 fish at a fish market for $2.62 each. 95 minutes later he sold them all to a supermarket for $2.86 each. (a) What was the time when he sold the fish? Answer(a) [1] (b) Calculate his total profit. Answer(b) $ [1]

2 marks

Mark scheme: 3 (a) 06 41 1 Allow 6.41(am). 6:41 and 06:41 Not 6h41m or 641h or 6.41pm (b) $204 1

This question in 0580/21 May/June 2009

16 For Examiner's B Use North NOT TO 3 km North SCALE 3 km C 85° A A, B and C are three places in a desert. Tom leaves A at 06 40 and takes 30 minutes to walk directly to B, a distance of 3 kilometres. He then takes an hour to walk directly from B to C, also a distance of 3 kilometres. (a) At what time did Tom arrive at C? Answer (a) [1] (b) Calculate his average speed for the whole journey. Answer (b) km/h [2] (c) The bearing of C from A is 085°. Find the bearing of A from C. Answer (c) [1]

4 marks

Mark scheme: 16 (a) (0)810 or 8:10 etc. 1 (b) 4 2 M1 (3 + 3)/(1 + 0.5) (c) 265 1

This question in 0580/21 Oct/Nov 2009

16 For Examiner's B Use North NOT TO 3 km North SCALE 3 km C 85° A A, B and C are three places in a desert. Tom leaves A at 06 40 and takes 30 minutes to walk directly to B, a distance of 3 kilometres. He then takes an hour to walk directly from B to C, also a distance of 3 kilometres. (a) At what time did Tom arrive at C? Answer (a) [1] (b) Calculate his average speed for the whole journey. Answer (b) km/h [2] (c) The bearing of C from A is 085°. Find the bearing of A from C. Answer (c) [1]

4 marks

Mark scheme: 16 (a) (0)810 or 8:10 etc. 1 (b) 4 2 M1 (3 + 3)/(1 + 0.5) (c) 265 1

This question in 0580/22 Oct/Nov 2009

9 A cyclist left Melbourne on Wednesday 21 May at 09 45 to travel to Sydney. Examiner's The journey took 97 hours. Use Write down the day, date and time that the cyclist arrived in Sydney. Answer Day Date Time [3]

3 marks

Mark scheme: 9 Sunday (May) 25 1045 1, 1, 1 Independent

This question in 0580/21 May/June 2010

9 1 second = 106 microseconds. Examiner's Use Change 3 × 1013 microseconds into minutes. Give your answer in standard form. Answer min [2]

2 marks

Mark scheme: 9 5(.00) × 105 2 SC1 for 5 × 10k or 500 000 on answer line

This question in 0580/23 May/June 2010

21 Examiner's North Use North Q NOT TO 140° SCALE 50 m North R 100 m P The diagram shows three points P, Q and R on horizontal ground. PQ = 50 m, PR = 100 m and angle PQR = 140°. (a) Calculate angle PRQ. Answer(a) Angle PRQ = [3] (b) The bearing of R from Q is 100°. Find the bearing of P from R. Answer(b) [2]

5 marks

Mark scheme: sin 140 21 (a) 18.7 3 M2 for sin R = 50 × (= 0.3219…) 100 sin R sin 140 or M1 for = oe 50 100 (b) 261(.3) 2ft M1 360 – 80 – their (a)

This question in 0580/23 May/June 2010

2 A plane took 1 hour and 10 minutes to fly from Riyadh to Jeddah. The plane arrived in Jeddah at 23 05. At what time did the plane depart from Riyadh? Answer [1]

1 marks

Mark scheme: 2 21 55 1 Allow 9.55 pm

This question in 0580/23 Oct/Nov 2010

12 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: ( ) 12 (a) (0)8(.)01 (am) 1 Not 8.01pm (b) 78.4 or 78.38 to 78.39 3 M2 for 827 ÷ 10.55 or M1 for figs 827 ÷ their time 2 7 × 20 000

This question in 0580/21 May/June 2011

19 ForFor 15 Examiner'sExaminer's UseUse 10 Speed (metres per second) 5 0 2 4 6 8 10 12 14 Time (minutes) The diagram shows the speed-time graph of a train journey between two stations. The train accelerates for two minutes, travels at a constant maximum speed, then slows to a stop. (a) Write down the number of seconds that the train travels at its constant maximum speed. Answer(a) s [1] (b) Calculate the distance between the two stations in metres. Answer(b) m [3] (c) Find the acceleration of the train in the first two minutes. Give your answer in m/s2. Answer(c) m/s2 [2] Question 20 is printed on the next page.

6 marks

Mark scheme: p p 19 (a) 480 1 (b) 9900 3 M1 for attempt at area under graph M1 for 0.5 × 15 × (their (a) + 14 × 60) oe or 0.5 × 15 × (8 + 14) oe 1 2 M1 for numerical vertical/horizontal or numerical (c) 0.125 or 8 use of v = u + at but t ≤ 120 or t ≤ 2

This question in 0580/21 May/June 2011

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

2 marks

Mark scheme: Qu. Answers Mark Part Marks 33 1 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 0580/22 Oct/Nov 2011

21 For North Examiner's Use North C km NOT TO 2.7 4.5 km SCALE A 5 km B The diagram shows 3 ships A, B and C at sea. AB = 5 km, BC = 4.5 km and AC = 2.7 km. (a) Calculate angle ACB. Show all your working. Answer(a) Angle ACB = [4] (b) The bearing of A from C is 220°. Calculate the bearing of B from C. Answer(b) [1]

5 marks

Mark scheme: 7.2 + 5.4 5 21 (a) 84(.00..) 4 M2 for cos (…) = or 2 × 7.2 × 5.4 (M1 for 52 = 2.72 + 4.52 – 2 × 2.7 × 4.5 × cos C ) A1 for 0.1045… (implied by correct answer) (b) 136 1ft 220 – their (a)

This question in 0580/23 Oct/Nov 2011

1 The ferry from Helsinki to Travemunde leaves Helsinki at 17 30 on a Tuesday. For The journey takes 28 hours 45 minutes. Examiner's Use Work out the day and time that the ferry arrives in Travemunde. Answer Day Time [2]

2 marks

Mark scheme: Qu Answers Mark Part marks 1 Wednesday 2 B1 22 15 or 10 15pm B1

This question in 0580/22 May/June 2012

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 1h50 + 15mins correctly evaluated

This question in 0580/23 May/June 2013

9 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: 9 (a) 119 3 M2 for 18 × 6 + 11 oe or B1 for 18 or 11 or 108 (b) [0] 1 [00] pm cao 1

This question in 0580/21 May/June 2014

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 0580/21 May/June 2016

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 0580/22 May/June 2018

1 Carlos starts work at 21 20 and finishes at 06 15 the next day. Calculate how long Carlos is at work. … h … min [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 8[h] 55[min] 1

This question in 0580/21 Oct/Nov 2018

7 The bearing of Alexandria from Paris is 128°. Calculate the bearing of Paris from Alexandria. … [2]

2 marks

Mark scheme: 7 308 2 M1 for 180 + 128 oe or 52 seen

This question in 0580/22 Feb/March 2019

4 A train journey takes 5 hours 54 minutes. (a) The journey starts at 09 15. Find the time that the journey ends. … [1] (b) The average speed of the train for this journey is 80 km/h. Calculate the distance travelled. … km [2]

3 marks

Mark scheme: 4(a) 15 09 1 Accept 3 09 pm 4(b) 472 2 M1 for 80 × their time oe or B1 for time = 5.9

This question in 0580/23 May/June 2020

8 The bearing of X from Y is 274°. Calculate the bearing of Y from X. … [2]

2 marks

Mark scheme: 8 [0]94 2 M1 for 86 or 274 – 180 or for sketch with 274 marked correctly

This question in 0580/23 May/June 2020

2 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: 2(a) Sunday 24 [July] 02 15 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 0215 oe spoilt or M1 for departure time + 13h35min + 15h evaluated as a time with one interval correctly added 2(b) 6320.4[0] 1

This question in 0580/21 Oct/Nov 2021

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

1 marks

Mark scheme: 3 129 1

This question in 0580/22 Oct/Nov 2021

3 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]

1 marks

Mark scheme: 3 7 [h] 18 [min] 1

This question in 0580/22 Feb/March 2022

3 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: 3 2h 57 min 1

This question in 0580/21 May/June 2022

2 A train journey starts at 23 40 and finishes at 06 50. Work out the time taken for this journey. … h … min [1]

1 marks

Mark scheme: 2 7 h 10 min 1

This question in 0580/21 Oct/Nov 2022

1 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: Question Answer Marks Partial Marks 1 5[h] 23[min] 1

This question in 0580/23 Oct/Nov 2022

15 The diagram shows the speed–time graph for part of the journey of a car. NOT TO Speed 30 SCALE (m/s) 0 0 15 Time (seconds) The car starts from rest and accelerates at a uniform rate for 15 seconds before reaching a constant speed of 30 m/s. (a) Calculate the acceleration for the first 15 seconds. … m/s2 [1] (b) After T minutes, the total distance travelled is 45 kilometres. Find the value of T. T = … min [4]

5 marks

Mark scheme: 15(a) 2 1 15(b) 25.125 4 15  30 M3 for + 30 ( k − 15 ) = figs 45 oe 2 OR B2 for 44 775 or 44.775 OR 15  30 M1 for or 30 ( k − 15 ) oe 2 B1 for 45 000 or 0.225 or 0.03

This question in 0580/23 Oct/Nov 2022

2 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: 2 06 15 or 6:15 am 1

This question in 0580/21 May/June 2023

2 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: 2 20 15 or [0]8.15pm 1

This question in 0580/23 May/June 2023

1 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: Question Answer Marks Partial Marks 1 19 23 or 7 23 pm 1

This question in 0580/23 Oct/Nov 2023

1 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: Question Answer Marks Partial Marks 1 7h 28min 1

This question in 0580/22 Feb/March 2024

5 The table shows part of a tram timetable. Newpoint Westhill 10 30 11 17 12 18 13 30 14 17 All the trams take the same number of minutes to complete the journey from Newpoint to Westhill. Complete the table. [2]

2 marks

Mark scheme: 5 13 05 or 1 05pm 2 M1 for 47 [minutes]

This question in 0580/22 May/June 2024

1 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: Question Answer Marks Partial Marks 1 22 32 or 10 32 pm 1

This question in 0580/21 Oct/Nov 2024

2 Aryan goes on a journey. He leaves home at 11 40 and arrives at 14 18. Find how many hours and minutes the journey took. … h … min [1]

1 marks

Mark scheme: 2 2 hours 38 min 1

This question in 0580/22 Feb/March 2025