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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 70 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 14 seconds. What is the sprinter's average speed in km/h? Give your answer to three significant figures. km/h Correct Wrong

How many kilograms of soap powder should be added to 10 litres of water if the concentration should be 75 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 827g. 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 13cm, 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.

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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:

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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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