# Compound Units

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

##### Level 1Level 2Level 3Exam-StyleDescriptionHelpMore Mensuration

This is level 1; Using simple compund units in calculations. You can earn a trophy if you get at least 7 questions correct.

 Terry drives for 5 hours at 80mph. How far does he travel? miles Sue cycles for 4 hours at an average speed of 35km/h. How far does she travel? km Omar walks 28 kilometers in 4 hours. What is his average walking speed? km/h How long would it take a train travelling at an average speed of 78km/h to travel a distance of 468km? hours Self-raising flour costs £1.05 per kilogram. How many kilograms can you buy for £8.40? kg Bug Juice costs \$2.25 per litre. How many litres can you buy for \$15.75? litres If you can buy 8 cakes for £6.88, how much does one cake cost? pence A marble statue has a mass of 171 grams and a volume of 45 cubic centimetres. What is the density of the marble used to make the statue. g/cm3 Gold has a density of 19ยท3 g/cm3. A gold ring has a volume of 1.9 cm3. Find the mass of the gold ring to two decimal places. g Calculate the pressure exerted on the ground when a brick of weight 17 newtons is resting on a face of area 0.0111m2. Give your answer to three significant figures. N/m2
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This is Compound Units level 1. You can also try:
Level 2 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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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 1 February 'Starter of the Day' page by M Chant, Chase Lane School Harwich:

"My year five children look forward to their daily challenge and enjoy the problems as much as I do. A great resource - thanks a million."

#### 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.

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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:

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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

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