# Ratio: Level 4

## 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 4; Simplifying ratios with fractional parts. You can earn a trophy if you get at least 9 questions correct.

 1. A lorry is $$16 \frac{1}{2}$$ metres long and $$4 \frac{1}{2}$$ metres wide. Express the ratio of its length to its width in its simplest form. 2. Express the ratio 41⁄4 : 51⁄2 in its simplest form. 3. Express the ratio 51⁄4 : 61⁄4 in its simplest form. 4. A gecko is $$4 \frac{1}{3}$$ inches long and $$1 \frac{1}{3}$$ inches wide. Express the ratio of its length to its width in its simplest form. 5. Express the ratio 63⁄4 : 43⁄4 in its simplest form. 6. Express the ratio 72⁄3 : 31⁄2 in its simplest form. 7. Express the ratio 7.75 : 3.25 in its simplest form. 8. Express the ratio 31⁄4 : 91⁄8 in its simplest form. 9. Express the ratio six and one third to 4.75 in its simplest form. 10. Express the ratio 53⁄4 : 41⁄4 in its simplest form. 11. The heights of three trees are 11.2m, 7.6m and 5m. Express the ratio of their heights in its simplest form. 12. The weights of three watermellons are $$2 \frac{2}{3}$$kg, $$2.4$$kg and $$3.2$$kg. Express the ratio of their weights in its simplest form.
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This is Ratio level 4. You can also try:
Level 1 Level 2 Level 3 Level 5 Level 6 Level 7

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.

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## 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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Could we have some on angles too please?"

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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

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## Teachers

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Monday, November 9, 2020

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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.