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Ratio

Use ratio notation, simplify ratios, and divide a quantity into parts based on a given ratio.

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This is level 5: simplifying ratios with fractional parts. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

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.

Lorry

2

Express the ratio 614 : 514 in its simplest form.

3

Express the ratio 434 : 312 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.

Gecko

5

Express the ratio 934 : 534 in its simplest form.

6

Express the ratio 414 : 514 in its simplest form.

7

Express the ratio 7.75 : 3.25 in its simplest form.

8

Express the ratio 413 : 523 in its simplest form.

9

Express the ratio six and one third to 4.75 in its simplest form.

10

Express the ratio 838 : 912 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.
Three Trees

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.
WatermelonWatermelonWatermelon

Check

This is Ratio level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6 Level 7 Level 8

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.

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Answers

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Scan the QR code below to visit the online version of this activity.

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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 - Reducing a ratio to the form 1:n or n:1

Level 5 - Simplifying ratios with fractional parts

Level 6 - Dividing a quantity in a given ratio

Level 7 - Comparing the parts of a ratio

Level 8 - Using ratios in real life

Retro: Real life problems adapted from an old Mathematics textbook

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Introduction to Ratios

Please be aware that the levels referenced in this video pertain to the structure of the exercise when it consisted of only seven levels. Following the production of the video, I introduced a new Level 4, focused on simplifying ratios to the form 1:n. Consequently, the previous Level 4 was reassigned as Level 5, Level 5 advanced to Level 6, and this pattern continued accordingly. I am confident you will be able to navigate these changes; my apologies for any inconvenience caused.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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.

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