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Express as a Percentage

This self-marking quiz requires you to work out what one quantity is as a percentage of another.

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This is level 3; Express one quantity as a percentage of another quantity with different units. You can earn a trophy if you get at least 9 questions correct.



1. Express 128 centimetres as a percentage of 2 metres.
% Correct Wrong


2. Express 342cm as a percentage of 4.5m.
% Correct Wrong


3. Express 245mm as a percentage of 35cm.
% Correct Wrong


4. Express 4050mm as a percentage of 4.5m.
% Correct Wrong


5. Express 415m as a percentage of 4.15km.
% Correct Wrong


6. Express 1710m as a percentage of 4.75km.
% Correct Wrong


7. Express 15.2m as a percentage of 4750cm.
% Correct Wrong


8. Express 780g as a percentage of 3.25kg.
% Correct Wrong


9. Express 1302g as a percentage of 3.1kg.
% Correct Wrong


10. A garden has an area of 1050m2. Within the garden there is a flower bed in the shape of a rectangle 7m long and 3m wide. What percentage of the area of the garden is taken up by the flower bed?

% Correct Wrong


11. A new healthy wedding cake is being sold in a shop. Each cake weighs 6kg and contains 360g of protein, 640g of fat and 5kg of carbohydrate. What percentage of protein does one wedding cake contain?

% Correct Wrong


12. A bottle of Junky Cola contains one point five litres of the sugary, unhealthy drink. Winky Lash drinks a 30cl glass of Junky Cola. What percentage of the whole bottle is that?
% Correct Wrong
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This is Express as a Percentage level 3. You can also try:
Level 1 Level 2 Level 4

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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry:

"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

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Practice Papers

Practice Papers

Mathematics GCSE(9-1) Higher style questions and worked solutions presented as twenty short, free, practice papers to print out.

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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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Description of Levels

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Level 1 - Express one number as a percentage of another.

Level 2 - Express one amount of money as a percentage of another.

Level 3 - Express one quantity as a percentage of another quantity with different units.

Level 4 - More difficult questions where the answers require rounding.

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.

Help Video

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.

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