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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.

Picture of the situation 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?

$

Picture of the situation
Picture of the situation 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?

$

Picture of the situation
Picture of the situation 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?

£

Check

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.

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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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."

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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:

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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.

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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.

Log in Sign up

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