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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 3: find the percentage increase given the original and final values. You can earn a trophy if you get at least 7 questions correct. You can use a calculator.

1. Find the percentage increase if 80 increases to 104. % Correct Wrong

2. Find the percentage increase if 100 increases to 130. % Correct Wrong

3. If 180 increases to 279, by what percentage has it increased? % Correct Wrong

4. Yesterday a painting was valued at £273. Last year it had been valued at £140. By what percentage had the valuation increased?Artist % Correct Wrong

5. At the last count there were 520 cars passing a junction each hour. Two years ago there were only 500 cars passing the junction each hour. By what percentage has the number of cars increased? % Correct Wrong

6. Find the percentage increase in the number of butterflies estimated in a butterfly farm. Last year the estimate was 700 and this year it was 868. % Correct Wrong

7. There are now 456 fans of the Wolftree Football Club. Last year there were only 400 fans. By what percentage has the number of fans increased? % Correct Wrong

8. The number of Stirbooks coffee shops in the world increased from 18400 to 23920 in the last five years. By what percentage has the number of shops increased? % Correct Wrong

9. A total of 66800 blades of grass were counted in one square meetre of a lawn. After adding fertiliser the count one month later was 86172 blades, by what percentage had the amount of grass increased? % Correct Wrong

10. A station could cope with 42700 passengers per day. After extending the platforms and ticket office it could accomodate 61488 passengers per day. Express this increase as a percentage. % Correct Wrong

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

Why am I learning this?

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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."

Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

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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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