Unitary Method

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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)

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1) If fourteen bricks weigh 56kg. What would sixteen bricks weigh?	Working: kg
2) If eighteen girls can plant 288 trees in a day. How many trees could twenty seven girls plant in a day?	Working: trees
3) If seventeen workers can dig 204 holes in an hour. How many holes could twenty four workers dig in an hour?	Working: holes
4) If seventeen coins weigh 170g. What would thirty one coins weigh?	Working: g
5) If eighteen buses can seat 936 people. How many people could thirty four buses seat?	Working: people
6) Sixteen identical pipes laid end to end make a length of 304m. What length would twenty nine pipes make if they are laid end to end?	Working: m
7) 22 toy building blocks placed one on top of another reach a height of 220cm. How high would 68 blocks be if placed one on top of the other?	Working: cm
8) 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
9) A vehicle travels one hundred and fifty three km on 17 litres of fuel. How far would it travel on twenty eight litres?	Working: km
10) Another vehicle travels four hundred and eighteen km on 38 litres of fuel. How far would it travel on fifty seven litres?	Working: km

Unitary Method

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

Menu Level 1 Level 2 Proportion Exam Help Ratio

Instructions

More Activities:

Featured Activity

Connect 4 Factors

Answers

Go Maths

Maths Map

Teachers

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