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Percentage Change

Test your understanding of using percentages with this self marking quiz about percentage change.

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This is level 5: find the original amount after a percentage increase or decrease given the final value. You can earn a trophy if you get at least 7 questions correct. You can use a calculator.

Find the original amount if after an increase of 85% it becomes 296. Correct Wrong

Find the original amount if after a decrease of 75% it becomes 15. Correct Wrong

Find the original amount if after an increase of 10% it becomes 198. Correct Wrong

Find the original amount if after a decrease of 60% it becomes 40. Correct Wrong

Find the original amount if after an increase of 8% it becomes 918. Correct Wrong

Find the original amount if after a decrease of 36% it becomes 320. Correct Wrong

After an increase of 14% the number of items in a count was found to be 456. What was the original number of items. Correct Wrong

The number of plants remaining in a park after a harsh winter was 4984. This was calculated to be 11% fewer than the original number of plants. Find the original number. Correct Wrong

The number of cars passing a certain junction was counted to be 80510. This was a decrease of 17% compared to the previous week. Find the number of cars passing the junction in the previous week. Correct Wrong

After an increase of 70% the number of items in a count was found to be 67660. What was the original number of items. Correct Wrong

Check

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

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Comment recorded on the 6 May 'Starter of the Day' page by Natalie, London:

"I am thankful for providing such wonderful starters. They are of immence help and the students enjoy them very much. These starters have saved my time and have made my lessons enjoyable."

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"

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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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Description of Levels

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Simple Percentages - A good place to start.

Level 1 - Find the new amount after a percentage increase.

Level 2 - Find the new amount after a percentage decrease.

Level 3 - Find the percentage increase given the original and final values.

Level 4 - Find the percentage decrease given the original and final values.

Level 5 - Find the original amount after a percentage increase or decrease given the final value.

Level 6 - Mixed questions.

Switch - Practise percentage increase and decrease calculations by completing this table.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

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.

Example

You may want to use a calculator for some of the questions. See Calculator Workout skill 3.

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.

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

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