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Solving Problems - Money 2 (Medium)

This 11 Plus Maths quiz challenges pupils to calculate percentage increases and understand how small changes can affect larger totals, such as club income or savings.

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Fascinating Fact:

A sports club has 120 members. Each pays £8 a month. If membership increases by 15 percent next year, the club will earn £1,104 a month.

In 11 Plus Maths, pupils learn to calculate percentage changes to understand how growth affects totals. These skills are essential for real-world money management and financial awareness.

Key Terms

Percentage Increase: A rise in value shown as a proportion of the original amount.
Income: The money a person, group, or business receives regularly, such as wages or membership fees.
Multiplier: A number used to calculate percentage change, for example, 1.15 represents a 15 percent increase.

Discover how 11 Plus topics are tested in our guide for parents.

Frequently Asked Questions (Click to see answers)

How do you calculate a 15 percent increase?

Multiply the original amount by 0.15 to find the increase, then add it to the original total, or multiply by 1.15 for a quicker result.

Why are percentage increases useful in real life?

They help compare growth, such as salary rises, price changes, or profits. Understanding them makes budgeting and forecasting easier.

What’s the difference between a percentage increase and a decrease?

An increase adds to the original amount, while a decrease subtracts from it. Both use the same formula but change the operation sign.

Try These Related Quizzes

1 .

Michael earns a salary of £24,523.50 per annum (per year). He has now been told that he will receive a 10% increase in his salary. How much will Michael earn per annum after his wage rise?

£26,975.85

£25,875.65

£24,775.35

£22,071.15

Per cent means per hundred, so 10% = ¹⁰?₁₀₀ = ¹?₁₀ and 10% of £24,523.50 means that you have to multiply £24,523.50 by 1¹?₁₀ (because Michael’s salary has gone up): £24,523.50 x 1¹?₁₀ = £26,975.85. So, Michael will now earn £26,975.85

2 .

Tracey’s bank account pays interest of 2% per year on any money in her account. If Tracey has £894 in her account when the interest is calculated, how much will she earn in interest?

£8.94

£17.88

£26.82

£35.76

Per cent means per hundred, so 2% = ²?₁₀₀ = ¹?₅₀ and 2% of £894 = £894 ÷ 50 = £17.88

3 .

Elsie bought seven Easter eggs, one for each of her grandchildren. Each Easter egg cost the same amount and Elsie got £4.50 in change from a £50 note. How much would one Easter egg have cost?

£15.50

£45.50

£6.50

£4.50

£50 - £4.50 = £45.50 = what Elsie paid for the seven items ? 1 item cost £45.50 ÷ 7 = £6.50

4 .

Bruce has just arrived in the UK from Australia, and he wants to change his Australian dollars into pounds sterling: the exchange rate is £1 = $1.88. If Bruce changes $1,400, how many pounds sterling will he get?

£2,632.00

£1,832.28

£932.48

£744.68

If £1 = $1.88, then $1,400 = 1,400 ÷ 1.88 = £744.68 (to the nearest penny). You have to divide 1,400 by 1.88 because you want to find out how many 'lots' of 1.88 there are in 1,400: each 'lot' equals £1: this is the same as adding 'lots' of 1.88 to itself until you get to 1,400

5 .

Emily is going on holiday to Brazil next week, so she decides to change £800 into Brazilian Reals (R$). If £1 = R$5.32, how many Brazilian Reals will Emily get?

R$4,256

R$2,256

R$1,256

R$150

If £1 = R$5.32, then £800 = 800 × 5.32 = R$4,256

6 .

Stephen has put £10,000 into a savings account. At the end of the year he is paid interest and his balance increases to £10,250. What rate of interest did Stephen’s bank pay?

0.25%

2.5%

25%

250%

Stephen’s balance has gone up by £250 so we have to find what percentage of 10,000 250 is.
Start by turning the problem into a fraction: ²⁵⁰?_10,000 = ¹?₄₀
Next, turn into a decimal by dividing 1 by 40: ¹?₄₀ = 0.025
Finally, convert the decimal into a percentage by multiplying by 100: 0.025 x 100 = 2.5
Stephen’s bank paid him a 2.5% rate of interest

7 .

It costs a factory £20,000 to build one car. If the factory wants to make a 200% profit on the sale of the car, how much must it sell it for?

£20,000

£40,000

£60,000

£80,000

Profit = Selling Price - Cost Price = £60,000 - £20,000 = £40,000. The factory has made a profit of £40,000. Now £40,000 as a percentage of £20,000 = ^40,000?_20,000 × 100% = 200%. Yes! Don't fall into the trap of thinking that if you sell it at twice its cost that you will make a 200% profit: you have to subtract the original cost from your selling price before you can call it profit

8 .

A clothes shop is selling last season’s stock with a 60% discount. If a dress now costs £46.80, how much was it before the discount?

£28.08

£44.58

£62.58

£78.00

A 60% discount means that the price has been reduced by 60%. The quickest way to work out what 100% was if £46.80 is 60% is to divide by 6 then times by 10:
46.8 ÷ 6 = 7.8
7.8 x 10 = 78 so the dress originally cost £78

9 .

Lisa has just arrived in India from the UK, and she wants to change her pounds sterling into Indian Rupees (₹): the exchange rate is £1 = ₹91.6. If Lisa changes £2,500, how many Indian Rupees will she get?

₹22.90

₹2,290

₹22,900

₹229,000

If £1 = ?91.6, then £2,500 = 2,500 × 91.6 = ?229,000

10 .

Lucy inherited 25% of her grandfather's business. If the business is worth £1,325,000, what is the value of Lucy’s inheritance?

£993,750

£662,500

£331,250

£325,000

Per cent means per hundred, so 25% = ²⁵?₁₀₀ = ¹?₄ and 25% of £1,325,000 means that you have to multiply 25% with £1,325,000: ¹?₄ × £1,325,000 = £331,250

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