# Ratio

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

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This is level 4: reducing a ratio to the form 1:n or n:1. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online.

 1 Bob's BananasBob has 10 bananas and has given his friend, Sam, 30 bananas.Describe the ratio of Bob's bananas to Sam's in the form 1:n ☐ ☐ ✓ ✗ 2 Gerty's GlitterGerty mixed 25 grams of glitter with 100 grams of glue to make her sparkly paste.Simplify the ratio of glitter to glue in the form 1:n ☐ ☐ ✓ ✗ 3 Freddy's Frantic FrogsFreddy found 15 green frogs and 45 brown frogs in his garden.Reduce the ratio of green frogs to brown frogs to the form 1:n ☐ ☐ ✓ ✗ 4 Dotty's Dizzy DonutsDotty bought 54 large donuts and 12 mini donuts for her peculiar party.What is the simplified ratio of large donuts to mini donuts in the form n:1? ☐ ☐ ✓ ✗ 5 Wacky Wilma's WoolWacky Wilma has 500g of red wool and two and a half kilograms of blue wool for her knitting project. Convert the weights to the same unit and express the ratio of red wool to blue wool to the form 1:n. ☐ ☐ ✓ ✗ 6 Peculiar Pete's PizzasPete made pizza with 1.5kg of flour and 250g of cheese.Find the simplified ratio of flour to cheese in the form n:1. ☐ ☐ ✓ ✗ 7 Clara's Colourful CupsClara has 1.5 litres of red paint and 600ml of blue paint for her art project. Convert the volumes to the same unit and then simplify the ratio of red paint to blue paint to the form n:1. ☐ ☐ ✓ ✗ 8 Loony Larry's Lanky LlamasLarry says he has 3 meters of llama leash for every 45 centimetres of llama height. Convert the measurements to the same unit, then reduce the ratio of llama leash length to llama height to the form 1:n. ☐ ☐ ✓ ✗ 9 Zealous Zelda's Zippy ZucchinisZelda grew zucchinis (courgettes) in her zany garden. If she harvested 16kg from a 20 square metre plot, express this mixed-unit rate in the simplest form 1:n. ☐ ☐ ✓ ✗ 10 Shining Stellar SpheresThe fantasy green planet Verdantia and the blue planet Azureon are of different sizes.Their diameters are 24150km and 13800km respectively.What is the ratio of their diameters in the form n:1? ☐ ☐ ✓ ✗
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This is Ratio level 4. You can also try:
Level 1 Level 2 Level 3 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.

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Move the pieces of the tower from one place to another in the minimum number of moves. This puzzle was invented in 1883 but is still as captivating today as it was all those years ago.

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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.

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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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