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If a price is reduced by 20%, then it has gone down by ¹⁄₅

Solving Problems - Money 2 (Difficult)

This 11 Plus Maths quiz challenges pupils to apply percentages in real-life money problems, calculating both increases and decreases across several stages.

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Fascinating Fact:

A charity raised £2,400 in week one, 25 percent more in week two, and 10 percent less in week three. The total after three weeks is £6,420.

In 11 Plus Maths, pupils learn to handle multiple percentage changes. This helps them track totals across different situations such as fundraising, sales, or savings growth.

Key Terms

Percentage Change: The amount a value increases or decreases, shown as a proportion of the original amount.
Compound Calculation: A process where each percentage change applies to the new total, not just the original value.
Estimation: A quick calculation used to check if the final answer is reasonable or close to expected.

Learn more about topics tested in the 11 Plus in our guide for parents.

Frequently Asked Questions (Click to see answers)

How do you calculate percentage increase and decrease together?

Work step by step: apply the first increase, find the new total, then calculate the next change from that amount rather than the original value.

What’s the difference between simple and compound percentage changes?

Simple changes apply percentages to the same base amount, while compound changes apply each new percentage to the updated total.

How can I check my answers in multi-step money problems?

Estimate using rounded values or reverse the calculation to confirm your result. This helps spot errors and improves accuracy under exam pressure.

Try These Related Quizzes

1 .

Which one of the following calculations is correct?

£2,700 + £330.00 - £11.03 = £3,018.97

£2,700 + £330.00 - £11.03 = £3,041.03

£2,700 + £330.00 - £11.03 = £3,108.97

£2,700 + £330.00 - £11.03 = £3,180.97

Just do the maths to solve it!

2 .

Which one of the following statements is correct?

If you sell something at twice the price it cost you to buy it, then you make a 50% profit

If you sell something at twice the price it cost you to buy it, then you make a 100% profit

If you sell something at twice the price it cost you to buy it, then you make a 200% profit

If you sell something at twice the price it cost you to buy it, then you make a 400% profit

For example: if Selling Price = £10 and Cost Price = £5, Profit = £10 - £5 = £5: a profit of £5. Now £5 as a percentage of £5 = ⁵?₅ × 100% = 100%. Yes! Don't fall into the trap of thinking that if you sell it at twice its cost, then you will make a 200% profit: you have to subtract the original cost from your selling price before you can call it profit

3 .

Which one of the following statements is correct?

If there is a 12.5% discount on the sale/cost price, it means that the sale/cost price has been reduced by one twelfth

If there is a 12.5% discount on the sale/cost price, it means that the sale/cost price has been reduced by one sixteenth

If there is a 12.5% discount on the sale/cost price, it means that the sale/cost price has been reduced by one eighth

If there is a 12.5% discount on the sale/cost price, it means that the sale/cost price has been reduced by one sixth

12.5% = ^12.5?₁₀₀ = 12.5 ÷ 100 = 0.125 = ¹?₈

4 .

Which one of the following statements is correct?

If £1 = $1.7, then £350 = $205.88

If £1 = $1.7, then £350 = $335.59

If £1 = $1.7, then £350 = $541.47

If £1 = $1.7, then £350 = $595.00

£350 = 1.7 × 350 = $595

5 .

Which one of the following statements is correct?

If £1 = €1.2, then €1,800 = £1,500

If £1 = €1.2, then €1,800 = £1,720

If £1 = €1.2, then €1,800 = £1,940

If £1 = €1.2, then €1,800 = £2,160

If £1 = €1.2, then €1,800 = 1,800 ÷ 1.2 = £1,500. You have to divide 1,800 by 1.2 because you want to find out how many 'lots' of 1.2 there are in 1,800: each 'lot' equals £1: this is the same as adding 'lots' of 1.2 to itself until you get to 1,800

6 .

Which one of the following statements is correct?

If you buy something for £2.50 and sell it for £17.50, you have sold it for 7,000% more than it cost you to buy

If you buy something for £2.50 and sell it for £17.50, you have sold it for 700% more than it cost you to buy

If you buy something for £2.50 and sell it for £17.50, you have sold it for 600% more than it cost you to buy

If you buy something for £2.50 and sell it for £17.50, you have sold it for 500% more than it cost you to buy

17.50 as a percentage of 2.50 is given by ^17.5?_2.5 × 100 = ⁷?₁ × 100 = 700%. What's the percentage profit?

7 .

Which one of the following statements is correct?

There are two hundred 5 p coins in £1,000

There are two thousand 5 p coins in £1,000

There are twenty thousand 5 p coins in £1,000

There are two hundred thousand 5 p coins in £1,000

There are twenty 5 p coins in £1 ? in £1,000 there are 1,000 × 20 = 20,000

8 .

Which one of the following statements is correct?

If you owe £12,500 and pay back £2,000, you have paid back 12% of what you owed

If you owe £12,500 and pay back £2,000, you have paid back 18% of what you owed

If you owe £12,500 and pay back £2,000, you have paid back 10% of what you owed

If you owe £12,500 and pay back £2,000, you have paid back 16% of what you owed

2,000 as a percentage of 12,500 is given by ^2,000?_12,500 × 100 = ²⁰?₁₂₅ × 100 = 0.16 x 100 = 16%

9 .

Which one of the following statements is correct?

If you buy something for £100 and later sell it at £75, you have made a profit of 25%

If you buy something for £100 and later sell it at £75, you have made a loss of 25%

If you buy something for £100 and later sell it at £75, you have made a profit of 75%

If you buy something for £100 and later sell it at £75, you have made a loss of 75%

Profit = Selling Price - Cost Price = £75 - £100 = -£25. You have made a loss of £25. £25 is 25% of £100

10 .

Which one of the following statements is correct?

If 45% of £35,000 profit was spent on investments and the rest went to shareholders, the shareholders received £15,750

If 45% of £35,000 profit was spent on investments and the rest went to shareholders, the shareholders received £16,916

If 45% of £35,000 profit was spent on investments and the rest went to shareholders, the shareholders received £18,082

If 45% of £35,000 profit was spent on investments and the rest went to shareholders, the shareholders received £19,250

45% of £35,000 = ⁴⁵?₁₀₀ × 35,000 = ⁹?₂₀ × 35,000 = 0.45 x 35,000 = £15,750 which was spent on investments ? £35,000 - £15,750 = £19,250 went to the shareholders

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)