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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 2; Converting between one compound unit and another. You can earn a trophy if you get at least 7 questions correct.

Convert 2.4km/h to metres per hour. m/h Correct Wrong

Convert 72km/h to kilometres per minute. km/m Correct Wrong

Convert 16km/h to metres per second. Give your answer to three significant figures. m/s Correct Wrong

Convert 12ms-1 to kilometers per hour. kmh-1 Correct Wrong

Convert 47 pence per centimetre into pounds per metre. £/m Correct Wrong

Convert $880 per metre into cents per millimetre. ¢/mm Correct Wrong

Convert a density of 3.6 kilograms per cubic metre into grams per cubic metre. g/m3 Correct Wrong

Convert a density of 2000 kilograms per cubic metre into grams per cubic centimetre. g/cm3 Correct Wrong

Convert a density of 0.15g/cm-3 into kilograms per cubic metre. kg/m3 Correct Wrong

The acceleretion of a particle is given as 0.899ms-2. Convert this quantity to kmh-2 correct to three significant figures. kg/h-2 Correct Wrong

Check

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

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.

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"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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

Featured Activity

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.

Answers

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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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 - 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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