Transum Software

Compound Units

Practise using compound units such as speed, unit pricing and density to solve problems.

Level 1 Level 2 Level 3 Exam-Style Description Help More Measures

This is level 3; Solving problems involving compound units. You can earn a trophy if you get at least 4 questions correct.

The speed on a particular road in the UK is 45 mph. What is this speed expressed in kilometres per hour if 1 mile = 1.6 km? km/h Correct Wrong

A sprinter runs a 100 metre race in 17 seconds. What is the sprinter's average speed in km/h? Give your answer to three significant figures. km/h Correct Wrong

I jog twice as fast as I walk.
I cycle three times as fast as I jog.
I can walk 3km in three-quarters of an hour.
How long will it take me to cycle 48km?
hours Correct Wrong

How many kilograms of soap powder should be added to 13 litres of water if the concentration should be 54 grams per centilitre? kg Correct Wrong

In a UK supermarket sugar was on sale for 51p per kilogram bag. In an American convenience store sugar was being sold in a different way. For $1 you could get 851g. If the exchange rate was £1 = $1.60 by how many pennies is a kilogram of sugar cheaper in the UK? Give your answer to the nearest whole number. pence Correct Wrong

The numerical value of the density of an cube, expressed in kilograms per cubic metre, is equal to its surface area expressed in square centimetres. If each edge of the cube is of length 10cm, what is its mass? Give your answer to three significant figures. kg Correct Wrong

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This is Compound Units level 3. You can also try:
Level 1 Level 2

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 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

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Featured Activity

Bidmaze

Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

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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:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

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Description of Levels

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Level 1 - Using simple compund units in calculations

Level 2 - Converting between one compound unit and another

Level 3 - Solving problems involving compound units

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 on Measures 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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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Useful Information

mph stands for miles per hour

km/h stands for kilometers per hour

Distance = Speed x Time

Mass = Density x Volume

Pressure = Force ÷ Area

There are 100 centilitres in a litre

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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