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Ratio: Level 4

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 4; Reducing a ratio to the form 1:n or n:1. You can earn a trophy if you get at least 7 questions correct.

1. Bob's Bananas
Bananas

Bob 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

Correct Wrong

2. Gerty's Glitter
Glitter

Gerty 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

Correct Wrong

3. Freddy's Frantic Frogs
Frogs

Freddy 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

Correct Wrong

4. Dotty's Dizzy Donuts
Donuts

Dotty 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?

Correct Wrong

5. Wacky Wilma's Wool
Wool

Wacky 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.

Correct Wrong

6. Peculiar Pete's Pizzas
Pete's Pizzas

Pete made pizza with 1.5kg of flour and 250g of cheese. Find the simplified ratio of flour to cheese in the form n:1.

Correct Wrong

7. Clara's Colourful Cups
Paint

Clara 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.

Correct Wrong

8. Loony Larry's Lanky Llamas
Llamas

Larry 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.

Correct Wrong

9. Zealous Zelda's Zippy Zucchinis
Zippy Zucchinis

Zelda 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.

Correct Wrong

10. Shining Stellar Spheres
Stellar Spheres

The 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?

Correct Wrong

Check

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.

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?

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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.

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