# Percentages Quiz

## Test your understanding of simple percentages with this self-marking quiz.

##### Level 1Level 2Level 3Level 4Level 5Level 6Percentage ChangeDescriptionHelpMore...

This is level 3: find 25% of numbers and quantities. You can earn a trophy if you get at least 7 questions correct and you do this activity online.

 1. What is 25% of 80? 2. What is 25% of 84? 3. What is 25% of 192? 4. Calculate 25% of 196? 5. Calculate 25% of 264? 6. Find 25% of \$292 \$ 7. Find 25% of £332 £ 8. Work out 25% of 368cl cl 9. The number of people on a mailing list was 428. If 25% of the people were taken off the list. How many were left? 10. Reduce 444 by 25%
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This is Percentages Quiz level 3. You can also try:
Level 1 Level 2 Level 4 Level 5 Level 6

## 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.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

## 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 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 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"

#### Without Lifting

Can you draw these diagrams without lifting your pencil from the paper? This is an interactive version of the traditional puzzle. Some diagrams are possible while others are not. What is the rule?

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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:

Transum,

Thursday, January 29, 2015

"It goes without saying that pupils should at some point learn the strategies to do all of these simple percentage calculations in their head without calculator of even pencil and paper. Although a trophy is available for getting seven questions right pupils should really get help to correct their mistakes and only collect a trophy for getting every answer correct. Refresh the page to get a different set of questions so that you can practice many times."

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.

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## Description of Levels

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Level 1 - Find 50% of numbers and quantities

Level 2 - Find 10% of numbers and quantities

Level 3 - Find 25% of numbers and quantities

Level 4 - Find 33⅓% of numbers and quantities

Level 5 - Find other simple percentages of quantities

Level 6 - Use a calculator to find percentages

Percentage Change - The next step in developing your skills.

Express as a Percentage - Another skill for you to practise.

More on this topic including lesson Starters, visual aids and investigations.

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.

% - This is the percent symbol.
Percent means 'out of 100'.

### Find 50%:

As 50 is half of 100, then 50% means half. To find 50% of a quantity you need to halve (or divide by two). So 50% of 6 is 3.

### Find 10%:

As 10 is one tenth of 100, then 10% means 'one tenth of'. To find 10% of a quantity you need to divide it by ten. So 10% of 800 is 80.

### Find 25%:

As 25 is one quarter of 100, then 25% means 'one quarter of'. To find 25% of a quantity you need to divide it by four. So 25% of 20 is 5.

Another way of finding 25% of a quantity is first finding 50% then dividing the result by 2.

### Find 33⅓%:

As 33⅓ is one third of 100, then 33⅓% means 'one third of'. To find 33⅓% of a quantity you need to divide it by three. So 33⅓% of 30 is 10.

### Find 1%:

As 1 is one hundredth of 100, then 1% means 'one hundredth of'. To find 1% of a quantity you need to divide it by 100. So 1% of 800 is 8.

### Find other percentages:

Other percentages can be found by combining some of the techniques mentioned above. Here are some examples:

• To find 75% of a quantity add together 50% and 25% of it.
• To find 20% of a quantity double 10% of it.
• To find 5% of a quantity halve 10% of it.
• To find 66⅔% of a quantity double 33⅓% of it.
• To find 90% of a quantity subract 10% from that quantity.
• To find 80% of a quantity subract 20% from that quantity.
• To find 2% of a quantity double 1% of it
• To find 52% of a quantity add 50% to 2% of that quantity

If you need to use a calculator to check your working. See Calculator Workout skill 3.

### Commute

Did you know that if you are struggling to mentally work out 24% of 50 you can switch the numbers round and work out 50% of 24 instead. Finding 50% is very easy isn’t it? You will get the same answer.

Finding a percentage of a quantity is an example of a commutative calculation. Not all operations are commutative. Subtraction certainly isn’t as 10 minus one is not the same as one minus ten.

You can use this trick to improve your ability to do this type of calculation quickly if you find the switch makes it easier.

Practise with 12% of 50, 4% of 25 and 75% of 10.

This video was made by the creator of MindYourDecisions, Presh Talwalker.

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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