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Ratio

Use ratio notation, simplify ratios, and divide a quantity into parts based on a given ratio.
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This is level 2: simplifying ratios. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online. 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 2:6 in its simplest form.

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2

Express the ratio 6:15 in its simplest form.

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3

Express the ratio 56:49 in its simplest form.

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4

Express the ratio 49:77 in its simplest form.

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5

The number of boys in a club is 40 and the number of girls is 110.
Express this ratio in its simplest form.

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6

Bougainvillea
Last year my bougainvillea plant was 249cm long. This year it is 4.68m long. Express the ratio of the plant's length last year compared to this year in its simplest form.

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7

The West park has 4500 square metres of flowers beds and 2700 square metres of grass. Express the ratio of flower beds to grass in its simplest form.

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8

A total weight of 80kg of sugar was delivered to the Costalot Supermarket. 35kg 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.

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9

A factory was painted with 119 litres of pink paint. The pink paint was made by mixing red and white paint together. It took 28 litres of red paint to make the mix. Express in the lowest terms the ratio of red and white paint used.

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10

Ant and Dec were paid £143 for writing a column for a magazine. They shared out the money in proportion to the amount of work they did. Ant received £77 and Dec received the rest. Express the ratio of their earnings in its lowest terms.

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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 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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"I am an NQT and have only just discovered this website. I nearly wet my pants with joy.
To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

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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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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.

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Monday, November 9, 2020

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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.

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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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.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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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