# 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 1: calculations that can be done without a calculator You can earn a trophy if you get at least 7 questions correct.

 If two bicycle lamps cost £10 how much would seven lamps cost? Working: pounds If 120g of pumpkin can make enough soup for two people, what weight of pumpkin is needed to make soup for five people? Working: g If three tins of paint are enough for eighteen doors, how many doors would two tins of paint cover? Working: doors A student can jog 7km in 42 minutes. At the same speed how long would it take him to jog 6km? Working: minutes A student can swim seven lengths in 42 minutes. At the same speed how long would it take her to swim four lengths? Working: minutes A recipe for samosas requires 450g of flour for nine samosas. How much flour will be needed for eight samosas? Working: g Two carpenters are buying wood to make some shelves. If 36m of wood is needed for nine shelves how much wood do they need for two shelves? Assume all of the shelves are the same length and width. Working: m The song "Out of Reach" is put on repeat play. If ten plays of the track last 35 minutes how many minutes would six plays take? Working: minutes Given the information in the previous question, how many times would the track have to be repeated to last three and a half hours? Working: times Each time this page is refreshed you will get slightly different questions although it should take about the same amount of time to answer all ten questions. If a student refreshed and answered all the questions on this page 3 times in 9 minutes. How many minutes would it take to complete 2 versions of this page assuming the student did not get any faster with practice? Working: minutes
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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.

## 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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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

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#### ChrisMaths

Christmas activities make those December Maths lessons interesting, exciting and relevant. If students have access to computers there are some online activities to keep them engaged such as Christmas Ornaments and Christmas Light Up.

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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.

## Maths Map

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

"I like the best web site of all I known that it was the very good as well as better for the student life thank for the team who make this web site."

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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)

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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