# 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 thirteen bricks weigh 65kg. What would eighteen bricks weigh? Working: kg If fourteen girls can plant 308 trees in a day. How many trees could twenty three girls plant in a day? Working: trees If eighteen workers can dig 144 holes in an hour. How many holes could twenty four workers dig in an hour? Working: holes If thirty one coins weigh 310g. What would thirty six coins weigh? Working: g If twenty one buses can seat 1071 people. How many people could twenty five buses seat? Working: people Twenty two identical pipes laid end to end make a length of 352m. What length would forty three pipes make if they are laid end to end? Working: m 36 toy building blocks placed one on top of another reach a height of 396cm. How high would 68 blocks be if placed one on top of the other? Working: cm 675g of flour is needed to make a special cake for 15 people. How much flour would be needed to make a cake for 31 people? Working: g A vehicle travels one hundred and seventy five km on 35 litres of fuel. How far would it travel on fifty four litres? Working: km Another vehicle travels eighty four km on 21 litres of fuel. How far would it travel on fifty six 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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## 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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## Teachers

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Monday, November 28, 2011

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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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