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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 seventeen bricks weigh 187kg. What would twenty one bricks weigh?

Bricks

Working:

kg Correct Wrong
If twenty two girls can plant 242 trees in a day. How many trees could twenty six girls plant in a day?

Working:

trees Correct Wrong
If twenty one workers can dig 273 holes in an hour. How many holes could twenty nine workers dig in an hour?

Working:

holes Correct Wrong
If thirty three coins weigh 396g. What would fifty coins weigh?

Working:

g Correct Wrong
If sixteen buses can seat 512 people. How many people could thirty three buses seat?

Working:

people Correct Wrong
Twenty identical pipes laid end to end make a length of 120m. What length would thirty one pipes make if they are laid end to end?

Working:

m Correct Wrong
34 toy building blocks placed one on top of another reach a height of 408cm. How high would 44 blocks be if placed one on top of the other?

Working:

cm Correct Wrong
975g 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 Correct Wrong
A vehicle travels one hundred and eighty five km on 37 litres of fuel. How far would it travel on forty seven litres?

Working:

km Correct Wrong
Another vehicle travels three hundred and ninety km on 30 litres of fuel. How far would it travel on sixty seven 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.

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Featured Activity

Remainder Race

Remainder Race

A brilliant game involving chance and choice requiring an ability to calculate the remainder when a two digit number is divided by a single digit number. There are one and two player versions and the rules are inspired by the Royal Game of Ur.

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

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Claire Longmooor, Trick Question That Went Viral

Saturday, October 12, 2019

"An orchestra of 120 players takes 40 minutes to play Beethoven's 9th Symphony. How long would it take for 60 players to play the symphony? Let P be number of players and T the time playing."

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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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