# Travel Graphs

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

##### Level 1Level 2Level 3Level 4DescriptionHelpMore Graphs

This is level 1; Reading information from distance-time graphs.

## Cycling to school

This distance-time graph show the journey a pupil makes by bicycle to school each day. The distance from home to school is eight kilometres and there are traffic lights on the way.

How far are the traffic lights from the pupil's home? km
How many minutes did the pupil have to wait at the traffic lights? min
Consider the speed the pupil was cycling before and after the wait at the traffic lights. Which of the following statements is true?

a) The pupil was cycling faster before the traffic lights than after.
b) The pupil was cycling slower before the traffic lights than after.
c) The pupil's speed was the same before and after stopping at the traffic lights.

Type in the single letter a, b or c for your answer.

This distance-time graph show the journey a bread delivery van makes one day. The van travels from the bakery to a shop and then returns to the bakery.

How far was the shop from the bakery? km
What speed did the delivery van travel on the outward-leg of the journey? km/h
What speed did the delivery van travel on the return journey? km/h

## Train Travelling Times

A train sets off from London at 2:30pm and heads towards Edinburgh, 350 miles away. It stops briefly on route. At 2pm another train left Edinburgh heading for London and arriving at 9pm. This distance time graph shows the situation.

At what time did the two trains pass? pm
How many hours after the train left London did it stop? h
At what speed did the Edinburgh bound train travel when it first left London before it stopped?

mph
Consider the London bound train's complete journey. What was it's average speed from Edinburgh to London? mph
Check

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

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## More Activities:

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 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

#### ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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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.

## Maths Map

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.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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 - Reading information from speed-time graphs

Level 3 - Draw a travel graph from the given description

Level 4 - Exam-style questions

## Distance-Time Graphs

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

This video is from the Science Shorts series. The video on speed-time graphs can be found here

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