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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 4: find the percentage decrease 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. If 20 decreases to 4, by what percentage has it decreased? % Correct Wrong

2. Find the percentage decrease if 160 is reduced to 24. % Correct Wrong

3. If 80 decreases to 44, by what percentage has it decreased? % Correct Wrong

4. Find the percentage decrease if 100 is reduced to 80. % Correct Wrong

5. Yesterday 850 flies were eaten by frogs in the park. Today the number of flies decreased to 833 flies. By what percentage has the number of flies eaten decreased?

Frogs
% Correct Wrong

6. By what percentage is 220 less than 250? % Correct Wrong

7. Find the percentage decrease if a computer game score of 1000 is reduced to 900 due to penalty points.

Computer Game Backgrounds
% Correct Wrong

8. 33984 people entered the Trantown Marathon this year. That's a decrease on last year's entries. Last year 47200 people entered. What percentage has the number of entries decreased from last year to this year?

Marathon
% Correct Wrong

9. The number of people watching the Cliff Diving Monkeys YouTube video on the first day was 14700. On the second day the number of people viewing it was reduced to 5733. What is this reduction expressed as a percentage?

Monkeys
% Correct Wrong

10. This year only 13850 peopled auditioned for Z Factor compared to 27700 last year. By what percentage has the number of people decreased since last year? % Correct Wrong

Check

This is Percentage Change level 4. You can also try:
Level 1 Level 2 Level 3 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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 1 August 'Starter of the Day' page by Peter Wright, St Joseph's College:

"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
Thanks for such a great resource!"

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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.

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

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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