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Ratio: Level 6

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 6; Dividing a quantity in a given ratio. You can earn a trophy if you get at least 7 questions correct.

1. Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £48. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned?
Window Cleaning
pounds Correct Wrong

2. Share £90 in the ratio 8:1. How much will the smaller share be? pounds Correct Wrong

3. Share 54kg in the ratio 1:5. How heavy will the larger share be? kilograms Correct Wrong

4. The ratio of boys to girls in a school is 5:6. How many girls are at the school if there are 550 students altogether. girls Correct Wrong

5. The ratio of sunny days to cloudy days in the month of June was 3:2. How many sunny days were there?
Sun
days Correct Wrong

6. One kilogram of sugar is shared between a jar and a jug in the ratio 3:7. How many grams of sugar went into the jar? grams Correct Wrong

7. In the winter the ratio of daylight to darkness on a particular day is 5:7. How many hours of daylight were there? hours Correct Wrong

8. To make orange squash you need to mix cordial and water in the ratio 1:8. How much cordial would you need to make 108 cups of squash? cups Correct Wrong

9. Samantha is 8 years old. Her brother Kevin is 5 years old. The pocket money they receive is in the same ratio as their ages. How many pence does Kevin receive if their pocket money totals £11.70 ? pence Correct Wrong

10. A toy car and a battery together costs £60. The ratio of the cost of the car to the battery is 19:1. How much did the battery cost? pounds Correct Wrong

Check

This is Ratio level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 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?

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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Featured Activity

Lemon Law

Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

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Teachers

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Monday, November 9, 2020

"5 STARS!!
My class absolutely loves these activities, they look forward to maths everyday!!"

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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.

Log in Sign up