# Ratio

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

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This is level 7: comparing the parts of a ratio. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

 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 20 more caps than Marlon. How many caps did Marlon get? ☐ ☐ ✓ ✗ 3 John is 27 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 12 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 30 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 35 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.

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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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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#### Triangle Solver

This simple calculator will work out the lengths of the sides and the size of the angles of any triangle given thee particular pieces of information.

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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.

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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.

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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.

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