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Two-Step Percentages

Each problem requires two percentage calculations to find the solution.

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This is level 1: Calculations including 'pergentage of', 'percentage increase' or 'percentage increase'. You will be awarded a trophy if you get at least 4 answers correct and you do this activity online.

	1 Last year the price of a jacket was £100. Due to inflation, this year the price is 10% higher. Starting tomorrow, a sale will begin and the price of all items will be reduced by 20%. What will the sale price of the jacket be? ☐ £ ☐ ✓ ✗
2 Emma sells handmade candles. Each candle costs her $10 to make. She wants to make a 40% profit on each candle so sets the selling price accordingly. Emma plans to offer a 20% discount off the selling price for friends and family. How much would Emmas brother have to pay for a candle? ☐ $ ☐ ✓ ✗
	3 A company reduces the price of its £400 air purifier by 25% during a clearance sale. A couple decide to take a unit which was previously the display model and the sale price is reduced by 18% for them. How much do they pay? ☐ £ ☐ ✓ ✗
4 A car dealership buys a car for $20,000. They aim for a 15% profit on the sale so they mark up the price by 15%. A doctor plans to by the car and is asked for a 20% deposit. How much is 20% of the selling price of the car? ☐ $ ☐ ✓ ✗
	5 An artist wants to make a 55% profit over the £4,000 cost of materials for a sculpture. When the sculpture has been sold, the gallery takes a 5% commission of the sale price. How much commission will the gallery take? ☐ £ ☐ ✓ ✗

This is Two-Step Percentages level 1. You can also try:
Level 2 Level 3

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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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 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School: "This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it! Thanks" Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay: "An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"		Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.
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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 is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B!
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Description of Levels

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Percentage Change - A good place to start if you need a reminder with some easier questions.

Level 1 - Calculations including 'pergentage of', 'percentage increase' or 'percentage increase'

Level 2 - Calculations including finding an original price

Level 3 - Problems requiring an algebraic solution

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

The video above was made for the Percentage Change exercise.

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. You can double-click the 'Check' button to make it float at the bottom of your screen.

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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