# Ratio: Level 5

## 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 5; Dividing a quantity in a given ratio. You can earn a trophy if you get at least 7 questions correct.

 Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £36. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned? pounds Share £36 in the ratio 8:1. How much will the smaller share be? pounds Share 66kg in the ratio 1:5. How heavy will the larger share be? kilograms The ratio of boys to girls in a school is 5:6. How many girls are at the school if there are 440 students altogether. girls The ratio of sunny days to cloudy days in the month of June was 3:2. How many sunny days were there? days One kilogram of sugar is shared between a jar and a jug in the ratio 3:7. How many grams of sugar went into the jar? grams In the winter the ratio of daylight to darkness on a particular day is 5:7. How many hours of daylight were there? hours To make orange squash you need to mix cordial and water in the ratio 1:8. How much cordial would you need to make 27 cups of squash? cups Samantha is 8 years old. Her brother Kevin is 5 years old. The pocket money they receive is in the same ratio as their ages. How many pence does Kevin receive if their pocket money totals £15.60 ? pence A toy car and a battery together costs £54. The ratio of the cost of the car to the battery is 17:1. How much did the battery cost? pounds
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This is Ratio level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 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.

## More Activities:

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 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

#### Playing Card Maths

Imagine you are on a desert island with nothing but a pack of playing cards. Do you have to stop learning mathematics? Of course not! Here are some great ideas for teachers, parents and tutors.

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

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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.