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Percentages Quiz

Show that you can calculate simple percentages in your head by trying this self-marking quiz.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Visualiser Description Help More Percentages

This is level 1: find 50% of numbers and quantities. You can earn a trophy if you get at least 9 questions correct and you do this activity online.

1. What is 50% of 54?

   Correct Wrong

2. What is 50% of 52?

   Correct Wrong

3. What is 50% of 72?

   Correct Wrong

4. Calculate 50% of 106?

   Correct Wrong

5. Calculate 50% of 104?

   Correct Wrong

6. Find 50% of $134

$  Correct Wrong

7. Find 50% of £144

£  Correct Wrong

8. Work out 50% of 190km

 km Correct Wrong

9. What is 50% of 198?

   Correct Wrong

10. The number of people on a plane was 222. If 50% of the people got off. How many were left?

   Correct Wrong

11. There were 224 roses growing in the back garden. If 50% of the roses were red. How many were not red?

   Correct Wrong

12. The distance by road from town A to town B is 263km. What is 50% of that distance?

 km Correct Wrong
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This is Percentages Quiz level 1. You can also try:
Level 2 Level 3 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.

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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?

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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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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.

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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

Two-Step Percentages - Now things start to get a little more challenging!

More Percentages - 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.

% - 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:

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.

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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