# Ratio: Level 7

## 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.

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This is level 7; Using ratios in real life. You can earn a trophy if you get at least 9 questions correct.

 1. 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 2. The ratio of the number of red cubes to the total number of small plastic cubes in a classroom is 3:14. How many red cubes are there if there are 560 cubes altogether in the classroom? 3. 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. % 4. 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. 5. 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 6. Suzie the cat is proud that her picture hangs on the wall in the front room. The ratio of the width to the height of the picture is 10:13. The height is 12cm longer than the width. How wide is Suzie's picture? cm 7. The ratios of the ages of Maureen, Noreen and Doreen is 2:5:7. If Maureen is 15 years younger than Noreen, how old is Doreen? 8. 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 9. Find w if the ratio w:3 is equivalent to the ratio 80:120. 10. Find y if the ratio y:4 is equivalent to the ratio 3:5. 11. The angles of a triangle are in the ratio 2:3:4. What is the size of the largest angle? ° 12. 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 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6

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?

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"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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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!"

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#### River Crossing

Three interactive versions of the traditional river crossing puzzles. The objective is to get all of the characters to the other side of the river without breaking any of the rules.

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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

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When planning to use technology in your lesson always have a plan B!

Ms Michelle,

Monday, November 9, 2020

"5 STARS!!
My class absolutely loves these activities, they look forward to maths everyday!!"

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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 - Comparing the parts of a ratio

Level 7 - Using ratios in real life

Retro: Real life problems adapted from an old Mathematics textbook

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

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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.