Transum Software

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 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 £8 how much would five lamps cost?

Bicycle Lamp

Working:

pounds Correct Wrong
If 180g of pumpkin can make enough soup for three people, what weight of pumpkin is needed to make soup for five people?

Pumpkin

Working:

g Correct Wrong
If four tins of paint are enough for twenty four doors, how many doors would three tins of paint cover?

Working:

doors Correct Wrong
A student can jog 7km in 42 minutes. At the same speed how long would it take him to jog 3km?

Working:

minutes Correct Wrong
A student can swim nine lengths in 54 minutes. At the same speed how long would it take her to swim four lengths?

Working:

minutes Correct Wrong
A recipe for samosas requires 240g of flour for six samosas. How much flour will be needed for five samosas?

Working:

g Correct Wrong
Two carpenters are buying wood to make some shelves. If 15m of wood is needed for five shelves how much wood do they need for four shelves? Assume all of the shelves are the same length and width.

Working:

m Correct Wrong
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 Correct Wrong
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 Correct Wrong
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 18 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 Correct Wrong
Check

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.

Please contact me if you have any suggestions or questions.

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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?

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

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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.

Answers

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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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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."

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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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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