Transum Software

Ratios vs Fractions

Exercises on the language of ratios and calculations involving fractions and linear functions.

  Menu   Level 1 Level 2 Level 3 Graphs   Help     More  

This is level 3: miscellaneous questions. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

Type in fractions using a forward slash like this 3/8 for three eighths.  Give ratios and fractions in their lowest terms.


If two-thirds of the pupils in a class are right-handed, what is the ratio of left-handed to right-handed pupils?


Anthony and Declan share some money. If Anthony gets three-eighths of the money express the ratio of Anthony's share to Declans share.


Earth Topographic Map (public domain)
Roughly seven-tenths of the Earth's surface is covered by sea water. Express the ratio of sea covered land to dry land as a ratio.


Write the ratio of the area of dry land to the Earth's total surface area.


In Stan's Soap Shop twice as many bars of soap were white than pink. Half as many bars of soap were yellow than pink. What is the ratio of yellow to white bars of soap?


A pencil is of length 10.5cm and a pen is of length 11.5cm. What is the ratio of the length of the pencil to the length of the pen?


What fraction of the length of the pen is the difference between their lengths?


Sal keeps a record of the colours of cars passing under a bridge. There were 39 light-coloured cars, 42 dark-coloured cars and 45 mixed-coloured cars. Express this data as a ratio of light-coloured to dark-coloured to mixed-coloured cars.


What fraction of the cars were not mixed-coloured cars?


A basket contains a number of balls. \( \frac{5}{11} \) of the balls are red and the rest are green. What is the ratio of the number of red to green balls?


A box contains a number of counters. \( \frac{15}{28} \) of the counters are blue and the rest are yellow. What is the ratio of the number of blue to yellow counters?


Express the ratio of A to B if:
$$ A = \frac{3}{4} \text{ and } B = \frac{4}{7} $$


This is Ratios vs Fractions level 3. You can also try:
Level 1 Level 2 Level 4


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 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!"

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."

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



The Transum Newsletter for March 2024 has just been published. Click on the image above to read about the latest developments on this site and try to solve the puzzle of the month. You can read the newsletter online or listen to it by downloading the podcast.


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!

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

© Transum Mathematics 1997-2024
Scan the QR code below to visit the online version of this activity.

This is a QR Code

Description of Levels


Ratio - Try this exercise first if you are unsure about ratio

Fractions - Try this exercise first if you are unsure about fractions

Level 1 - Questions with pictures (no cancelling required)

Level 2 - Questions without pictures (cancelling required)

Level 3 - Miscellaneous Questions

Level 4 - Graphs of linear functions describing ratios

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.

Log in Sign up

Help Video For Basic Ratio

This video was made for the basic Ratio exercise. If you are unsure abour ratios or fractions you may want to try the following exercises first:

Ratio   Fractions

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.

Log in Sign up