# Ratio: Level 6

## Use ratio notation, reduce a ratio to its simplest form and divide a given quantity into a number of parts in proportion to a given ratio.

##### Level 1Level 2Level 3Level 4Level 5Level 6Exam-StyleDescriptionHelpMore Ratio

This is level 6; Using ratios in real life. You can earn a trophy if you get at least 7 questions correct.

 A recipe requires mixing flour and sugar in the ratio 7:2 by volume. How much sugar will be required to mix with 21 cups of flour? cups Hot dog rolls come in packets of 6Hot dog sausages come in tins of 8What ratio of packets of rolls to tins of sausages should I buy to ensure nothing will be left over when making hot dogs (one sausage in each roll)? Give your answer as a ratio in its simplest form. A certain shade of grey can be obtained by mixing white paint and black paint in the ratio 11:3. How much black paint will be required to make 28 tins of grey paint? tins The number of supporters of two teams at a football match are in the ratio of 5:3. Calculate the number of supporters of the smaller team as a percentage of the number of supporters of the larger team. % As a rough approximation the ratio of the circumference to the diameter of any circle is 22:7. Using this approximation find the length of the circumference of a circle if its diameter is 21mm. Give your answer in cm. cm A model car is a scale replica of the real car. The ratio of the lengths of the model to the real car is 2:95. If the width of the real car is 2.85 metres, how wide is the model car in centimetres? cm Find w if the ratio w:3 is equivalent to the ratio 80:120. Find y if the ratio y:4 is equivalent to the ratio 3:5. The angles of a triangle are in the ratio 2:3:4. What is the size of the largest angle? ° The scale of a map is 1:50,000. The distance between two road junctions on the map is 7cm. How far are they apart in real life? Give your answer in kilometres. km
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This is Ratio level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5

There is also a related exercise on the Unitary Method.

## 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?

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

#### Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

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Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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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:

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## Description of Levels

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Level 1 - Identifying ratios from pictures

Level 2 - Simplifying ratios

Level 3 - Simplifying ratios with mixed units

Level 4 - Simplifying ratios with fractional parts

Level 5 - Dividing a quantity in a given ratio

Level 6 - Using ratios in real life

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.

## Introduction to Ratios

This video is from the Khan Academy.

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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.