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Challenge level: Challenge Level:1 Challenge Level:2 Challenge Level:3

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Broad Topics > Fractions, Decimals, Percentages, Ratio and Proportion > Calculating with percentages

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The Legacy

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

Your school has been left a million pounds in the will of an ex- pupil. What model of investment and spending would you use in order to ensure the best return on the money?

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Dating Made Easier

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If a sum invested gains 10% each year how long before it has doubled its value?

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A Change in Code

Stage: 4 Challenge Level: Challenge Level:1

There are two sets of numbers. The second is the result of the first after an increase by a constant percentage. How can you find that percentage if one set of numbers is in code?

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Would You Rather?

Stage: 2 Challenge Level: Challenge Level:1

Would you rather: Have 10% of £5 or 75% of 80p? Be given 60% of 2 pizzas or 26% of 5 pizzas?

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CD Heaven

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

All CD Heaven stores were given the same number of a popular CD to sell for £24. In their two week sale each store reduces the price of the CD by 25% ... How many CDs did the store sell at. . . .

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Mathland Election

Stage: 3 Challenge Level: Challenge Level:1

A political commentator summed up an election result. Given that there were just four candidates and that the figures quoted were exact find the number of votes polled for each candidate.

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Retiring to Paradise

Stage: 3 Challenge Level: Challenge Level:1

When Charlie retires, he's looking forward to the quiet life, whereas Alison wants a busy and exciting retirement. Can you advise them on where they should go?

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KS3 Percentages

Stage: 3 Challenge Level: Challenge Level:1

This package is designed around work on percentages which is outlined in the KS3 Mathematics Framework. One NRICH game and one problem have been identified to support the work on percentages in each. . . .

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The Money Maze

Stage: 2 Challenge Level: Challenge Level:1

Go through the maze, collecting and losing your money as you go. Which route gives you the highest return? And the lowest?

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You Never Get a Six

Stage: 2 Challenge Level: Challenge Level:1

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

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Roasting Old Chestnuts 4

Stage: 3 and 4

For teachers. Yet more school maths from long ago-interest and percentages.

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Put Out the Flags

Stage: 3 Challenge Level: Challenge Level:1

Tim and Beth both have a string of flags. Use the percentages to find out who has the most flags.

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The Magic Number and the Hepta-tree

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

Find the exact difference between the largest ball and the smallest ball on the Hepta Tree and then use this to work out the MAGIC NUMBER!

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One or Both

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Problem one was solved by 70% of the pupils. Problem 2 was solved by 60% of them. Every pupil solved at least one of the problems. Nine pupils solved both problems. How many pupils took the exam?

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Percentage Unchanged

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

If the base of a rectangle is increased by 10% and the area is unchanged, by what percentage (exactly) is the width decreased by ?

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Are You a Smart Shopper?

Stage: 2 Challenge Level: Challenge Level:2 Challenge Level:2

In my local town there are three supermarkets which each has a special deal on some products. If you bought all your shopping in one shop, where would be the cheapest?