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Percentage Change

Practise calculating percentage increase and percentage decrease in this set of exercises.

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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.

1. Find the original amount if after an increase of 15% it becomes 207. Correct Wrong

2. Find the original amount if after a decrease of 30% it becomes 112. Correct Wrong

3. Find the original amount if after an increase of 50% it becomes 300. Correct Wrong

4. Find the original amount if after a decrease of 50% it becomes 50. Correct Wrong

5. Find the original amount if after an increase of 10% it becomes 275. Correct Wrong

6. Find the original amount if after a decrease of 38% it becomes 527. Correct Wrong

7. After an increase of 20% the number of items in a count was found to be 600. What was the original number of items. Correct Wrong

8. The number of plants remaining in a park after a harsh winter was 9856. This was calculated to be 72% fewer than the original number of plants. Find the original number.

Park in winter
Correct Wrong

9. The number of cars passing a certain junction was counted to be 56154. This was a decrease of 2% compared to the previous week. Find the number of cars passing the junction in the previous week. Correct Wrong

10. After an increase of 84% the number of items in a count was found to be 171120. 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 Level 7

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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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.

Level 7 - Challenging 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.

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