# Compound Units

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

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

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 4 hours at 80mph. How far does he travel? miles Sue cycles for 7 hours at an average speed of 35km/h. How far does she travel? km Omar walks 25 kilometers in 5 hours. What is his average walking speed? km/h How long would it take a train travelling at an average speed of 85km/h to travel a distance of 765km? hours Self-raising flour costs £1.20 per kilogram. How many kilograms can you buy for £3.60? kg Bug Juice costs \$2.30 per litre. How many litres can you buy for \$20.70? litres If you can buy 8 cakes for £4.80, how much does one cake cost? pence A marble statue has a mass of 185.6 grams and a volume of 64 cubic centimetres. What is the density of the marble used to make the statue. g/cm3 Gold has a density of 19·3 g/cm3. A gold ring has a volume of 1.4 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 8 newtons is resting on a face of area 0.0168m2. 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.

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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

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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.

## 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.

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