Travel Graphs

Test your understanding of distance-time and speed-time graphs with this self-marking exercise.

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This is level 3; Reading information from speed-time graphs.

Racing Car

This speed-time graph shows the speed of a car at various times during a race.

How fast was the car travelling at 10 seconds? ms-1
After how many seconds did the car reach a speed of 30ms-1? s
After how many seconds did the car start travelling at a constant speed? s

Jet Ski Race

This speed-time graph above shows a race between two jet skis. The purple jet ski enters the race zone travelling at 30 miles per hour and the green jet ski enters the race zone travelling at 40 miles per hour.

After how many seconds were both jet skis travelling at the same speed? Give your answer to the nearest second.

s
Calculate the purple jet ski's acceleration during the first 10 seconds. Give your answer in miles per hour per second.

mh-1s-1
Calculate the green jet ski's acceleration during the first 10 seconds. Give your answer in miles per hour per second.

mh-1s-1

Underground Train

This speed-time graph above shows the journey of a commuter train travelling between two stations.

What was the time taken for the journey between the two stations. Give your answer in minutes.

min
Calculate the acceleration of the train in the first 40 seconds. Give your answer in ms-2.

ms-2
How far did the train travel between 40 seconds and 80 seconds? Give your answer in metres.

m
What was the distance between the two stations? Give your answer in metres.

m
Check

This is Travel Graphs level 3. You can also try:
Level 1 Level 2 Level 4

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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The classic problem of using two unmarked jugs to measure exactly a given quantity. The Transum version is interactive and awards a virtual trophy for each of the levels completed.

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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Rachel, VN

Tuesday, November 2, 2021

"Hi, I was looking at this to with a KS3 science class, but the vertical axes in the level 3 questions seem to be unlabeled?

[Transum: Thank you so much for letting me know Rachel. I now realise now that after adding a new activity as level 2 I hadn’t ported the current Level 3 activity completely. The problem has now been fixed and I hope your KS3 Science class enjoy working through the levels.]"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Description of Levels

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Level 1 - Reading information from distance-time graphs

Level 2 - Matching distance-time graphs with their descriptions

Level 3 - Reading information from speed-time graphs

Level 4 - Draw a travel graph from the given description

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More Graphs including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Distance-Time Graphs

For a basic introduction to distance-time graphs see Hurdles Race. For more details play the video below.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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