# Ratio

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

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This is level 3: simplifying ratios with mixed units. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online. Type in your answer as two numbers separated by a colon (no spaces). The numbers in the answer should be in the same order as the corresponding numbers in the question.

 1 Express the ratio 750cm to 10m in its simplest form. ☐ ☐ ✓ ✗ 2 Express the ratio 450mm to 1.05m in its simplest form. ☐ ☐ ✓ ✗ 3 Express the ratio 750mm to 90cm in its simplest form. ☐ ☐ ✓ ✗ 4 Express the ratio 350g to 1.05kg in its simplest form. ☐ ☐ ✓ ✗ 5 Express the ratio 2100 seconds to 21 minutes in its simplest form. ☐ ☐ ✓ ✗ 6 Express the ratio 150m to 0.15km in its simplest form. ☐ ☐ ✓ ✗ 7 Express the ratio 500ml to 0.75 litres in its simplest form. ☐ ☐ ✓ ✗ 8 Express the ratio 720 inches to 80 feet in its simplest form. ☐ ☐ ✓ ✗ 9 Express the ratio 384 ounces to 20 pounds in its simplest form. ☐ ☐ ✓ ✗ 10 Express the ratio 4m to 1000cm in its simplest form. ☐ ☐ ✓ ✗
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This is Ratio level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 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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#### Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

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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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