# Ratio: Level 7

## 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 7; Comparing the parts of a ratio. You can earn a trophy if you get at least 9 questions correct.

 1. Jagdish and Suky share some sweets in the ratio 3:2. Jagdish gets 3 more sweets than Suky. How many sweets does Suky get? 2. Rita and Marlon share some caps in the ratio 7:5. Rita gets 14 more caps than Marlon. How many caps did Marlon get? 3. John is 9 years older than his younger sister. The ratio of their ages is 8:5. How old is John? 4. Sam and Jas share some flowers in the ratio 5:9. Jas gets 28 more flowers than Sam. How many flowers does Jas get? 5. Mrs Doobenkoff is 20 years younger than her auntie. The ratio of their ages is 11:15. How old is Mrs Doobenkoff? 6. Eric and Ernie share some money. Eric gets twice as much as Ernie. What fraction of the money does Ernie get?    A: $$\frac12$$   B: $$\frac13$$   C: $$\frac23$$   D: some other fraction.Type in the letter of your chosen answer. 7. Jill is three times as tall as Jack. What fraction of Jill's height is Jack's?    A: $$\frac14$$   B: $$\frac13$$   C: $$\frac23$$   D: some other fraction.Type in the letter of your chosen answer. 8. Yuen and Lee share some biscuits. Yuen gets three times as many biscuits as Lee. What fraction of the biscuits does Lee get?    A: $$\frac14$$   B: $$\frac13$$   C: $$\frac23$$   D: some other fraction.Type in the letter of your chosen answer. 9. A bag contains red, blue and yellow blocks in the ratio 3:4:7. There are 7 more blue blocks than red blocks. How many yellow blocks are in the bag? 10. A box contains purple, green and orange counters in the ratio 5:7:10. There are 45 more orange counters than purple counters. How many green counters are in the box? 11. A jar contains grey, black and white balls in the ratio 9:2:8. There are 56 more grey balls than black balls. How many balls are in the jar altogether? 12. A tank contains fish, crabs and shells. The number of fish is four fifths of the number of crabs. The number of shells is eleven tenths of the number of crabs. What is the ratio of fish, crabs and shells expressed in its lowest terms?
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This is Ratio level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 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.

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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.

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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.