Transum Software

Ratio: Level 2

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 2; Simplifying ratios. You can earn a trophy if you get at least 7 questions correct.

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 3:3 in its simplest form. Correct Wrong

2. Express the ratio 12:18 in its simplest form. Correct Wrong

3. Express the ratio 36:30 in its simplest form. Correct Wrong

4. Express the ratio 72:80 in its simplest form. Correct Wrong

5. The number of boys in a club is 60 and the number of girls is 110. Express this ratio in its simplest form. Correct Wrong

6. BougainvilleaLast year my bougainvillea plant was 15cm long. This year it is 5.52m long. Express the ratio of the plant's length last year compared to this year in its simplest form. Correct Wrong

7. The West park has 6000 square metres of flowers beds and 13000 square metres of grass. Express the ratio of flower beds to grass in its simplest form. Correct Wrong

8. A total weight of 220kg of sugar was delivered to the Costalot Supermarket. 121kg of the sugar was stacked on the shelves while the rest was left in the stock room. Express in the lowest terms the ratio of sugar on the shelves and in the stock room. Correct Wrong

9. A factory was painted with 156 litres of pink paint. The pink paint was made by mixing red and white paint together. It took 84 litres of red paint to make the mix. Express in the lowest terms the ratio of red and white paint used. Correct Wrong

10. Ant and Dec were paid £80 for writing a column for a magazine. They shared out the money in proportion to the amount of work they did. Ant received £56 and Dec received the rest. Express the ratio of their earnings in its lowest terms. Correct Wrong

Check

This is Ratio level 2. You can also try:
Level 1 Level 3 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.

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?

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury:

"Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you."

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Featured Activity

Great Expectation

Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

Answers

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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 is a mirror site at Transum.info that contains 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 - 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