Corbettmaths Exam Style Questions - Travel Graphs PDF

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1.Read each question carefully before you begin answering it. 2.Donʼt spend too long on one question. 3.Attempt every question. 4...

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1.Read each question carefully before you begin answering it. 2.Donʼt spend too long on one question. 3.Attempt every question. 4.Check your answers seem right. 5.Always show your workings Revision for this topic © CORBETTMATHS 2015 1.! Edward drove 80 miles from his home to London. ! He stopped and visited his friend Nicola on the way. ! Here is the distance-time graph for the journey. ! (a) How far was Edward from home when he visited Nicola? 40.........................miles (1) ! (b) How long did Edward stop for? 1 hour 30 min......................... (1) © CORBETTMATHS 2015 2.! Ellie cycled from her home to her friendʼs house. ! She stayed at her friendʼs house and then travelled home. ! (a) At what time did Ellie leave home? 9:05......................... (1) ! (b) How far was Ellie from home while visiting her friend? 8miles.........................km (1) ! (c) How long did Ellie stay at her friendʼs house? 15min.........................minutes (1) ! Ellie arrived home at 09:55. ! (d) Complete the distance-time graph. (1) © CORBETTMATHS 2015 3.! Joseph travelled from his home to his friendʼs house 15 km away. ! Joseph stayed for some time and then returns home. ! Here is the distance-time graph ! (a) At what time did Joseph leave home? 14:10......................... (1) ! (b) How far was Joseph from home at 14:30? 10.........................km (1) ! (c) How long did Joseph spend at his friendʼs house? 20 mins.........................minutes (1) ! (d) How far did Joseph travel in total? 30km.........................km (1) © CORBETTMATHS 2015 4.! Anne cycles from Bristol to Salisbury. ! The diagram shows the distance-time graph of her journey. ! (a) How far from Bristol is Anne at 08:00? 10miles.........................miles (1) ! (b) Describe what is happening between 09:00 and 09:30 They are stopping !................................................................................................................................ (1) ! (c) Work out Anneʼs speed for the first two hours of her journey s=d/t so 20 divided by 2 is 10mph.........................miles per hour (2) © CORBETTMATHS 2015 5.! Henry takes place in a 100 metre race. ! The diagram shows the distance-time graph of his race. ! (a) How long did it take Henry to run 100 metres? 20 seconds.........................seconds (1) ! (b) What is Henryʼs average speed over the race Average speed= total d/total t so 100 divided by 20 is 5m/s.........................metres per second (2) ! Helen completes the race in 16 seconds. ! (c) Show this on the distance-time graph. (1) © CORBETTMATHS 2015 6.! Here is part of a travel graph of Andrewʼs journey from his home to the gym and ! back. ! (a) Work out Andrewʼs speed for the first 30 minutes of his journey. s=d/t so 10 divided by 30 is 0.3km/h.........................km/h (2) ! Andrew spends 40 minutes at the gym. ! He then travels back to his home at 40 km/h. ! (b) Complete the travel graph. 40divide by 60 is 0.67 then 10divided by 0.67 is 15 so 15minutres (2) © CORBETTMATHS 2015 7. Rebecca rollerbladed from her home to the playground. ! ! Rebecca rested in the playground for some time. ! She then rollerbladed home. ! Here is a distance-time graph of Rebeccaʼs journey. ! (a) How long did it Rebecca take to rollerblade from her home to the ! playground? 11:04 to 11:10 so 6 mins.........................minutes (1) ! (b) How long did Rebecca spend resting at the park? 5 mins.........................minutes (1) ! (c) Was Rebeccaʼs speed travelling home, faster or slower than travelling to the park? Explain your answer. ! Av speed=total d/total t so firsts one is 900divide by 6 = 150m/m................................................................................................................................ and second one is 900 divide boy 12=75m/m so first one faster !................................................................................................................................ !................................................................................................................................ (1) © CORBETTMATHS 2015 8.! Shown below are six distance-time graphs ! Each sentence in the table describes one of the graphs. ! Write the letter of the correct graph next to each sentence. Mr.Jones travels to work and immediately returns F Mr.Jones leaves work and travels home at a steady speed D Mr.Jones leaves home and travels to work at a steady speed A Mr.Jones stays at work C Mr.Jones travels to work, stays there for some time and then returns home B Mr.Jones leaves home and travels to work, stopping at the shop on the way E (3) © CORBETTMATHS 2015 9.! Here is a distance-time graph for a train journey ! (a) Calculate the speed of the train on the last section of the journey, from ! 70 to 100 minutes. speed=d/t so 20 divide by 30 = 0.67mph.........................miles per hour (2) ! (b) Circle the part of the journey that the train travels fastest. (1) ! (c) Explain your answer Mid since it traveled a longer distance in a shorter amount of time !................................................................................................................................ !................................................................................................................................ (1) © CORBETTMATHS 2015 10.! Bethany drove to a family meal and then back home. ! The meal was at a restaurant that is 70 kilometres from her home. ! Bethany left home at 10:00 and arrived at the restaurant at 11:30. ! She stayed at the family meal for 2 hours. ! Bethany then drove home at a speed of 35 kilometres per hour. ! Show this information on the distance-time graph. (3) © CORBETTMATHS 2015 11.! Roy visited his aunt and then returned home. ! The distance-time graph shows information about Royʼs journey. ! (a) Write down the time that Roy started his journey 2:10......................... (1) ! At 2:50pm Roy stopped for a rest. ! 20 minutes (b) How many minutes was this rest?.........................minutes (1) Roy stayed with his aunt for 30 minutes and then returned home. ! ! (c) Work out Royʼs average speed on the journey home. 63.6.........................km/h (2) ! (c) Work out the total distance travelled by Roy 140.........................kilometres (2) © CORBETTMATHS 2015 12. Orla leaves home at 7am ! ! ! She walks at a speed of 4 miles per hour for 90 minutes. ! She stops for half an hour. Orla then walks home and arrives at 11am. ! (a) Draw a distance-time graph to show Orlaʼs journey. (3) ! (b) What is Orlaʼs average speed on the return part of her walk? 4.........................miles per hour (2) © CORBETTMATHS 2015 13. Teddy leaves home at 13:00 ! ! ! He drives at an average speed of 60km/h for 2½ hours ! Teddy stops for 30 minutes. He then drives home at an average speed of 50km/h 90 80 70 60 50 40 30 20 10 0 0 13:00 14:00 15:00 16:00 17:00 18:00 ! (a) Show this information on a distance-time graph. (4) ! ! (b) A film starts at 18:45 ! Does Teddy get home in time for the start? ! Explain your answer. ! Yes because he arrives at 17:12 so he still has plenty of time !................................................................................................................................ (1) © CORBETTMATHS 2015 14.! Ian and Paul took part in a 4 kilometre race. ! ! Ian ran the race at a steady speed. ! (a) What was Ianʼs average speed? 13.3.........................km/h (2) ! (b) At what time were both boys level? 12.........................minutes (1) ! (c) Who won the race? By how much? Ian 2 minutes The winner was......................... by.........................m (2) © CORBETTMATHS 2015