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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 165kg. What would twenty bricks weigh?



kg Correct Wrong
If twenty one girls can plant 462 trees in a day. How many trees could twenty seven girls plant in a day?


trees Correct Wrong
If eighteen workers can dig 306 holes in an hour. How many holes could twenty workers dig in an hour?


holes Correct Wrong
If sixteen coins weigh 48g. What would forty one coins weigh?


g Correct Wrong
If eighteen buses can seat 846 people. How many people could twenty two buses seat?


people Correct Wrong
Eighteen identical pipes laid end to end make a length of 180m. What length would twenty eight pipes make if they are laid end to end?


m Correct Wrong
35 toy building blocks placed one on top of another reach a height of 105cm. How high would 65 blocks be if placed one on top of the other?


cm Correct Wrong
630g of flour is needed to make a special cake for 14 people. How much flour would be needed to make a cake for 29 people?


g Correct Wrong
A vehicle travels four hundred and seventy six km on 28 litres of fuel. How far would it travel on thirty three litres?


km Correct Wrong
Another vehicle travels seventy six km on 19 litres of fuel. How far would it travel on thirty one litres?


km Correct Wrong


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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Featured Activity

River Crossing

River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.


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Monday, November 28, 2011

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Description of Levels



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.

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