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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 714 : 812 in its simplest form. Correct Wrong

3. Express the ratio 412 : 614 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 513 : 414 in its simplest form. Correct Wrong

6. Express the ratio 923 : 734 in its simplest form. Correct Wrong

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

8. Express the ratio 816 : 412 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 418 : 634 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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Answers

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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

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When planning to use technology in your lesson always have a plan B!

Ms Michelle,

Monday, November 9, 2020

"5 STARS!!
My class absolutely loves these activities, they look forward to maths everyday!!"

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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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.

Log in Sign up