# Compound Units

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

##### Level 1Level 2Level 3DescriptionHelpMore 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 60mph. How far does he travel? miles Sue cycles for 7 hours at an average speed of 40km/h. How far does she travel? km Omar walks 36 kilometers in 6 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 £1.30 per kilogram. How many kilograms can you buy for £11.70? kg Bug Juice costs \$2.05 per litre. How many litres can you buy for \$12.30? litres If you can buy 7 cakes for £6.02, how much does one cake cost? pence A marble statue has a mass of 226.8 grams and a volume of 63 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 1.7 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 7 newtons is resting on a face of area 0.0147m2. 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.

## More Activities:

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 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

#### Tran Towers

A mathematical adventure game in the enigmatic home of Transum. Create your own map as you go deeper and deeper into this maze of rooms looking for the clues to find the treasure room.

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.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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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

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