Transum Software

Ratio: Level 8

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.

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8 Exam Help More

This is level 8; Using ratios in real life. You can earn a trophy if you get at least 9 questions correct.

1. A recipe requires mixing flour and sugar in the ratio 7:2 by volume. How much sugar will be required to mix with 21 cups of flour? cups Correct Wrong

2. The ratio of the number of red cubes to the total number of small plastic cubes in a classroom is 3:14. How many red cubes are there if there are 560 cubes altogether in the classroom?

Correct Wrong

3. The number of supporters of two teams at a football match are in the ratio of 5:3. Calculate the number of supporters of the smaller team as a percentage of the number of supporters of the larger team. % Correct Wrong

4. Hot dog rollsHot dog rolls come in packets of 6
Hot dog sausages come in tins of 8
What ratio of packets of rolls to tins of sausages should I buy to ensure nothing will be left over when making hot dogs (one sausage in each roll)? Give your answer as a ratio in its simplest form.Hot dog sausages
Correct Wrong

5. As a rough approximation the ratio of the circumference to the diameter of any circle is 22:7. Using this approximation find the length of the circumference of a circle if its diameter is 21mm. Give your answer in cm. cm Correct Wrong

6. Suzie the cat is proud that her picture hangs on the wall in the front room. The ratio of the width to the height of the picture is 10:13. The height is 21cm longer than the width. How wide is Suzie's picture?

Suzie the cat
cm Correct Wrong

7. The ratios of the ages of Maureen, Noreen and Doreen is 2:5:7. If Maureen is 15 years younger than Noreen, how old is Doreen? Correct Wrong

8. A model car is a scale replica of the real car. The ratio of the lengths of the model to the real car is 2:95. If the width of the real car is 2.85 metres, how wide is the model car in centimetres? cm Correct Wrong

9. Find w if the ratio w:3 is equivalent to the ratio 80:120. Correct Wrong

10. Find y if the ratio y:4 is equivalent to the ratio 3:5. Correct Wrong

11. The angles of a triangle are in the ratio 2:3:4. What is the size of the largest angle? ° Correct Wrong

12. The scale of a map is 1:50,000. The distance between two road junctions on the map is 7cm. How far are they apart in real life? Give your answer in kilometres. km Correct Wrong


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

There is also a related exercise on the Unitary Method.


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 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

Featured Activity

Roman Numerals Jigsaw

Roman Numerals Jigsaw

This is a wonderful activity for someone who does not know Roman numerals. By completing the activity an understanding of the symbols develops and a great sense of achievement is enjoyed.


There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:


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.


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 should go offline for whatever reason, there is a mirror site at that contains most of the resources that are available here on

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.


©1997-2024 WWW.TRANSUM.ORG

Description of Levels



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.

Log in Sign up

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.



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