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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 7: challenging questions. You can earn a trophy if you get at least 7 questions correct. You can use a calculator.

Give non-exact answers to three significant figures.

1. At the end of May the resevoir was seven-eigths full. By the middle of August it was only one quarter full. Calculate the percentage decrease in the amount of water in the resevoir between the end of May and the middle of August. % Correct Wrong

2. I have been exercising for three hours and forty minutes each week. Next week I plan to spend five hours exercising. By what percentage will I be increasing my excercise time? % Correct Wrong

3. A shrub was five feet tall. A gardener pruned it, reducing its height by 25%. How many inches tall is the shrub now?Pruning a shrub in Correct Wrong

4. Alan's weight increased in 2022 by 19%. Last year Alan adopted a more healthy lifestyle and his weight returned to what it was at the beginning of 2022. What was the percentage decrease from his heaviest weight back to his previous weight? % Correct Wrong

5. A circle's radius is increased by 24%. Find the percentage increase in the circle's area. % Correct Wrong

6. A circle's area is increased by 28%. Find the percentage increase in the circle's radius. % Correct Wrong

7. The lengths of the edges of a cube are all increased by 6%. Find the percentage increase in the cube's volume. % Correct Wrong

8. A cube's volume is increased by 15%. Find the percentage increase in the lengths of the cube's edges. % Correct Wrong

9. Find A if 30% of A equals 30% of 30 plus 30. Correct Wrong

10. Allan sold a painting to Bella. Bella then sold the painting to Chris who, in turn sold the painting to Dally. The price increased overall by 90% of what it was originally worth.

If Allan made 40% profit and Bella made 20% profit, what percentage profit did Chris make?
% Correct Wrong

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This is Percentage Change level 7. You can also try:
Level 1 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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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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