Transum Software

Unitary Method

Test your understanding of the Unitary Method for solving real life proportion problems with this online, self-marking quiz.

Level 1 Level 2 Proportion Exam-Style Description Help Ratio

This is level 2: calculations requiring written working and the use of a calculator You can earn a trophy if you get at least 7 questions correct.

If fifteen bricks weigh 90kg. What would twenty bricks weigh?

Bricks

Working:

kg Correct Wrong
If eighteen girls can plant 252 trees in a day. How many trees could twenty seven girls plant in a day?

Working:

trees Correct Wrong
If fourteen workers can dig 280 holes in an hour. How many holes could nineteen workers dig in an hour?

Working:

holes Correct Wrong
If thirty five coins weigh 315g. What would fifty three coins weigh?

Working:

g Correct Wrong
If twenty buses can seat 880 people. How many people could twenty one buses seat?

Working:

people Correct Wrong
Twenty four identical pipes laid end to end make a length of 336m. What length would thirty pipes make if they are laid end to end?

Working:

m Correct Wrong
22 toy building blocks placed one on top of another reach a height of 220cm. How high would 55 blocks be if placed one on top of the other?

Working:

cm Correct Wrong
960g of flour is needed to make a special cake for 16 people. How much flour would be needed to make a cake for 33 people?

Working:

g Correct Wrong
A vehicle travels five hundred and thirteen km on 27 litres of fuel. How far would it travel on thirty six litres?

Working:

km Correct Wrong
Another vehicle travels two hundred and thirty eight km on 34 litres of fuel. How far would it travel on seventy eight litres?

Working:

km Correct Wrong
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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 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?"

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"

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

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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.

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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:

Saurav Luitel, Bhojpur

Monday, November 28, 2011

"I like the best web site of all I known that it was the very good as well as better for the student life thank for the team who make this web site."

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 - Calculations that can be done without a calculator.

Level 2 - Calculations requiring written working and the use of a calculator.

Proportion Direct and inverse proportion questions.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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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These problems can be solved using the unitary method. This is a technique in mathematics for solving particular types of problems. It involves scaling down one of the variables to a single unit, i.e. 1, and then performing the operation necessary to alter it to the desired value.

For example if six coins weigh 66g. What would seventeen coins weigh?

Coin Coin Coin
Coin Coin Coin

Consider the weight of one coin first

1 coin weighs 11g  (66 ÷ 6)

Now it is easy to calculate the cost of seventeen coins

17 coins weigh 187g (17 x 11)

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.

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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