# 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.

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

 1. Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £24. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned? pounds 2. Share £45 in the ratio 8:1. How much will the smaller share be? pounds 3. Share 54kg in the ratio 1:5. How heavy will the larger share be? kilograms 4. The ratio of boys to girls in a school is 5:6. How many girls are at the school if there are 550 students altogether. girls 5. The ratio of sunny days to cloudy days in the month of June was 3:2. How many sunny days were there? days 6. 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 7. In the winter the ratio of daylight to darkness on a particular day is 5:7. How many hours of daylight were there? hours 8. 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 9. 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 £11.70 ? pence 10. A toy car and a battery together costs £48. The ratio of the cost of the car to the battery is 15:1. 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 Level 7

There is also a related exercise on the Unitary Method.

## Instructions

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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.