Transum Software

Ratio

Use ratio notation, simplify ratios, and divide a quantity into parts based on a given ratio.

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This is level 7: find one part given the other part and the ratio. You will be awarded a trophy if you get at least 7 answers correct and you do this activity online.

1

At a smoothie stand, the ratio of strawberry smoothies to mango smoothies is 4:7. If there are 24 strawberry smoothies, how many mango smoothies are there?

Smoothie Stall

2

In a basket there are some red and white balls. The ratio of red balls to white balls is 7:5, There are 21 red balls, how many white balls are there?
Basket of balls

3

Sal cuts a long plastic pipe into two pieces. The ratio of the two pieces is 3:5. If the shorter piece is 21 cm in length, how long is the longer piece?


cm

4

In a treasure chest, the ratio of gold coins to gems is 5:2. If there are 6 gems, how many gold coins are there?
πŸͺ™πŸ’Ž

5

In a garden, the ratio of sunflowers to butterflies is 9:4. If there are 36 sunflowers, how many butterflies are there?
πŸŒ»πŸ¦‹

6

A fruit bowl has apples and bananas in the ratio 21:33. If there are eleven bananas, how many apples are there?
🍎🍌

7

A paint mix uses blue paint and white paint in the ratio 3:8. If the mixture contains eight hundred milliliters of white paint, how many milliliters of blue paint does it contain?
🎨

ml

8

A pet shop has dogs and cats in the ratio 15:25. If there are 6 dogs, how many cats are there?
🐢🐱

9

A recipe uses flour, sugar and butter in the ratio 4:3:5. If the recipe uses 36 g of flour, how many grams of sugar does it use?

g

10

In a music playlist, the ratio of jazz to rock to classic tracks is 12:18:7. If there are 180 rock tracks, how many jazz tracks are there?
🎡 🎡 🎡 🎡 🎡 🎡

Check

This is Ratio level 7. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 8 Level 9

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?"

Comment recorded on the 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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Featured Activity

Bidmaze

Bidmaze

Find your way through the maze encountering mathematical operations in the correct order to achieve the given total. This is an addictive challenge that begins easy but develops into quite a difficult puzzle.

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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:

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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!!"

Lizi, Camden School For Girls!

Friday, May 3, 2024

"Super great! My classmates really enjoy this website! Keep goin'!"

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Tuesday, November 4, 2025

"Really fun and entertaining."

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Scan the QR code below to visit the online version of this activity.

This is a QR Code

https://www.Transum.org/go/?Num=176

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 - Find one part given the other part and the ratio

Level 8 - Comparing the parts of a ratio

Level 9 - 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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