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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; 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.

Lorry
Correct Wrong

2. Express the ratio 914 : 412 in its simplest form. Correct Wrong

3. Express the ratio 612 : 914 in its simplest form. Correct Wrong

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
Correct Wrong

5. Express the ratio 734 : 713 in its simplest form. Correct Wrong

6. Express the ratio 813 : 513 in its simplest form. Correct Wrong

7. Express the ratio 7.75 : 3.25 in its simplest form. Correct Wrong

8. Express the ratio 414 : 513 in its simplest form. Correct Wrong

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

10. Express the ratio 914 : 838 in its simplest form. Correct Wrong

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
Correct Wrong

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
Correct Wrong

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.

Why am I learning this?

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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Featured Activity

Striped Sweets

Striped Sweets

Colour the sweet wrappers so that no two are the same. A multi-level activity designed to encourage a systematic strategy for finding all of the different permutations.

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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 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.

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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.

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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.

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