Ratio

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

Menu  Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8ExamHelpMore

This is level 5: simplifying ratios with fractional parts. You will be awarded a trophy if you get at least 9 answers correct and you do this activity online.

 1 A lorry is $$16 \frac{1}{2}$$ metres long and $$4 \frac{1}{2}$$ metres wide. Express the ratio of its length to its width in its simplest form. ☐ ☐ ✓ ✗ 2 Express the ratio 71⁄4 : 51⁄2 in its simplest form. ☐ ☐ ✓ ✗ 3 Express the ratio 91⁄4 : 71⁄4 in its simplest form. ☐ ☐ ✓ ✗ 4 A gecko is $$4 \frac{1}{3}$$ inches long and $$1 \frac{1}{3}$$ inches wide. Express the ratio of its length to its width in its simplest form. ☐ ☐ ✓ ✗ 5 Express the ratio 51⁄4 : 43⁄4 in its simplest form. ☐ ☐ ✓ ✗ 6 Express the ratio 91⁄2 : 61⁄3 in its simplest form. ☐ ☐ ✓ ✗ 7 Express the ratio 7.75 : 3.25 in its simplest form. ☐ ☐ ✓ ✗ 8 Express the ratio 43⁄4 : 32⁄3 in its simplest form. ☐ ☐ ✓ ✗ 9 Express the ratio six and one third to 4.75 in its simplest form. ☐ ☐ ✓ ✗ 10 Express the ratio 63⁄4 : 55⁄6 in its simplest form. ☐ ☐ ✓ ✗ 11 The heights of three trees are 11.2m, 7.6m and 5m. Express the ratio of their heights in its simplest form. ☐ ☐ ✓ ✗ 12 The weights of three watermellons are $$2 \frac{2}{3}$$kg, $$2.4$$kg and $$3.2$$kg. Express the ratio of their weights in its simplest form. ☐ ☐ ✓ ✗
Check

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

More Activities:

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 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

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.

23 or Bust

A game involving mental arithmetic and strategy for two players or one player against the computer. It is possible to beat the computer but you need a well thought out strategy.

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.

Subscribe

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!!"

Lizi, Camden School For Girls!

Friday, May 3, 2024

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

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.

For Students:

For All:

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

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

Description of Levels

Close

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.

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.

Close