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Travel Graphs

Test your understanding of distance-time and speed-time graphs with this self-marking exercise.
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This is level 4; Draw a travel graph from the given description. Click on the points at the ends of where the straight line segments of the graphs should be.

Cycling to work

CyclingDraw a distance-time graph show the journey a computer programmer makes by bicycle to work each day. The distance from home to work is eight kilometres and she has to stop to buy breakfast after cycling 4km which she does in 10 minutes.

After waiting at the breakfast shop for 5 minutes she continues cycling to work. The whole journey took 30 minutes and she was cycling at constant speeds though not necessarily the same speed before and after breakfast.

Delivering Milk

Draw a distance-time graph show the journey a milk delivery van makes one day. The van travels from the dairy to a restaurant 13km away and then returns to the dairy.

The outward journey takes 20 minutes and the return journey takes 13 minutes. The van spends ten minutes unloading at the restaurant.

Moped Race

MopedDraw a speed-time graph to show a race between two motor scooters. The purple scooter enters the race track travelling at 30 miles per hour and the green scooter enters the race track travelling at 40 miles per hour.

Both scooters accelerate at a constant rate until they reach their maximum speeds after 10 seconds. The maximum speed of the purple scooter is 70 miles per hour and The maximum speed of the green scooter is 50 miles per hour.

From ten seconds onwards the scooters continue at a constant speed and the race in total lasts only thirteen seconds.

Sky Train

The Sky Train travels on an elevated track above the roads of a busy city. Draw a speed-time graph to show the journey of a Sky Train travelling between two stations.

The train starts and finishes it's journey at rest. The whole journey takes three minutes. The total distance between the stations is 1620 metres.

The train travels with constant acceleration then constant speed then finally its deceleration is constant. The period of constant acceleration lasts for 30 seconds and the period of constant deceleration lasts for 60 seconds.

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

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.
Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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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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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.

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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.

Log in Sign up

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