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Percentage Change

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

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Exam-Style Description Help More Percentages

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 30% it becomes 182. Correct Wrong

Find the original amount if after a decrease of 85% it becomes 9. Correct Wrong

Find the original amount if after an increase of 25% it becomes 75. Correct Wrong

Find the original amount if after a decrease of 85% it becomes 30. Correct Wrong

Find the original amount if after an increase of 12% it becomes 672. Correct Wrong

Find the original amount if after a decrease of 28% it becomes 144. Correct Wrong

After an increase of 30% the number of items in a count was found to be 845. What was the original number of items. Correct Wrong

The number of plants remaining in a park after a harsh winter was 10262. This was calculated to be 86% 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 10880. This was a decrease of 60% compared to the previous week. Find the number of cars passing the junction in the previous week. Correct Wrong

After an increase of 22% the number of items in a count was found to be 20130. 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 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!"

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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Answers

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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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Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

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.

It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror sites at Transum.com and Transum.info that contain most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Description of Levels

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Simple Percentages

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.

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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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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