Transum Software

Compound Units

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

Level 1 Level 2 Level 3 Description Help More Mensuration

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 2.3km/h to metres per hour. m/h Correct Wrong

Convert 48km/h to kilometres per minute. km/m Correct Wrong

Convert 17km/h to metres per second. Give your answer to three significant figures. m/s Correct Wrong

Convert 13ms-1 to kilometers per hour. kmh-1 Correct Wrong

Convert 43 pence per centimetre into pounds per metre. £/m Correct Wrong

Convert $180 per metre into cents per millimetre. ¢/mm Correct Wrong

Convert a density of 3.9 kilograms per cubic metre into grams per cubic metre. g/m3 Correct Wrong

Convert a density of 8600 kilograms per cubic metre into grams per cubic centimetre. g/cm3 Correct Wrong

Convert a density of 0.41g/cm-3 into kilograms per cubic metre. kg/m3 Correct Wrong

The acceleretion of a particle is given as 0.67ms-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.

Please contact me if you have any suggestions or questions.

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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 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"

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Featured Activity

Without Lifting

Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

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

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.

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