# Unitary Method

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

##### Level 1Level 2ProportionExam-StyleDescriptionHelpRatio

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 seventeen bricks weigh 170kg. What would eighteen bricks weigh? Working: kg If twenty one girls can plant 420 trees in a day. How many trees could twenty three girls plant in a day? Working: trees If seventeen workers can dig 51 holes in an hour. How many holes could twenty four workers dig in an hour? Working: holes If thirty two coins weigh 512g. What would forty three coins weigh? Working: g If twenty buses can seat 620 people. How many people could twenty nine buses seat? Working: people Eighteen identical pipes laid end to end make a length of 216m. What length would thirty pipes make if they are laid end to end? Working: m 22 toy building blocks placed one on top of another reach a height of 132cm. How high would 69 blocks be if placed one on top of the other? Working: cm 1170g of flour is needed to make a special cake for 13 people. How much flour would be needed to make a cake for 27 people? Working: g A vehicle travels forty two km on 14 litres of fuel. How far would it travel on thirty nine litres? Working: km Another vehicle travels one hundred and twenty six km on 21 litres of fuel. How far would it travel on fifty eight litres? Working: km
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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.

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## 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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## 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.

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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.

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?

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)

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