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Ratio: Level 5

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 5; 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 £36. 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 £45 in the ratio 8:1. How much will the smaller share be? pounds Correct Wrong

3. Share 24kg 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 770 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 45 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 £45. The ratio of the cost of the car to the battery is 14:1. How much did the battery cost? pounds Correct Wrong

Check

This is Ratio level 5. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 6 Level 7

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.

Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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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?

Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

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Three Ways

Three Ways

Can you get to the target number by multiplying together four different one digit numbers? Can you do it in three different ways? There are nine levels to this online challenge and a virtual Transum Trophy available for each level.

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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.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Ms Michelle,

Monday, November 9, 2020

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

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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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 - Simplifying ratios with fractional parts

Level 5 - Dividing a quantity in a given ratio

Level 6 - Comparing the parts of a ratio

Level 7 - 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

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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