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Maths Quiz - Solving Problems - Money (Difficult) (Questions)

This 11 Plus Maths quiz uses real-life examples to test proportional reasoning, helping pupils calculate costs and fuel use across different distances.

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Fascinating Fact:

A car travels 180 miles using £27 worth of fuel. On a 300-mile journey, the fuel cost would be £45 if prices stay the same.

In 11 Plus Maths, pupils use ratios and unitary methods to solve proportion problems. These skills apply to fuel costs, recipes, and even time-distance calculations in real life.

Key Terms

Proportion: A relationship showing how one quantity changes in comparison to another.
Unitary Method: A way of finding the value of one unit before scaling up or down to solve problems.
Ratio: A comparison between two numbers showing how much of one thing there is compared to another.

Learn more about 11 Plus maths and reasoning in our guide for parents.

Frequently Asked Questions (Click to see answers)

How do you calculate cost using proportion?

Find the cost for one unit, then multiply by the number of units required. For example, divide £27 by 180 miles to find the cost per mile.

What is the unitary method used for?

The unitary method helps solve proportion problems by finding the value of a single unit and using it to calculate larger or smaller amounts.

Why is proportion important in everyday maths?

Proportion helps compare costs, scale recipes, convert measurements, and estimate totals accurately in real-world situations like shopping or travel.

Try These Related Quizzes

1.

Which one of the following calculations or statements is correct?

[ ]	If you sell something at six times what it cost you to buy it, then you make a 600% profit
[ ]	If you sell something at five times what it cost you to buy it, then you make a 500% profit
[ ]	If you sell something at six times what it cost you to buy it, then you make a 500% profit
[ ]	If you sell something at five times what it cost you to buy it, then you make a 600% profit

2.

Which one of the following calculations or statements is correct?

[ ]	If £1 = €1.2, then £450 = €357
[ ]	If £1 = €1.2, then £450 = €504
[ ]	If £1 = €1.2, then £450 = €375
[ ]	If £1 = €1.2, then £450 = €540

3.

Which one of the following calculations or statements is correct?

[ ]	If there is a 25% discount on the sale/cost price, it means that the sale/cost price has been reduced by one eighth
[ ]	If there is a 25% discount on the sale/cost price, it means that the sale/cost price has been reduced by one quarter
[ ]	If there is a 75% discount on the sale/cost price, it means that the sale/cost price has been reduced by one half
[ ]	If there is a 50% discount on the sale/cost price, it means that the sale/cost price has been reduced by three quarters

4.

Which one of the following calculations or statements is correct?

[ ]	If £1 = $1.6, then $1,600 = £2,560
[ ]	If £1 = $1.6, then $1,600 = £1,000
[ ]	If £1 = $1.6, then $1,600 = £100
[ ]	If £1 = $1.6, then $1,600 = £256

5.

Which one of the following calculations or statements is correct?

[ ]	£1,010 + £110.00 + £10.01 = £1,130.01
[ ]	£1,010 + £110.00 + £10.01 = £1,130.10
[ ]	£1,010 + £110.00 + £10.01 = £1,103.01
[ ]	£1,010 + £110.00 + £10.01 = £1,310.01

6.

Which one of the following calculations or statements is correct?

[ ]	If you buy something for £4 and sell it for £12, you have sold it for 30% more than what it cost you to buy
[ ]	If you buy something for £4 and sell it for £12, you have sold it for 3% more than what it cost you to buy
[ ]	If you buy something for £4 and sell it for £12, you have sold it for 300% more than what it cost you to buy
[ ]	If you buy something for £4 and sell it for £12, you have sold it for 3000% more than what it cost you to buy

7.

Which one of the following calculations or statements is correct?

[ ]	If someone owes you £250 and they pay back £50, they have paid back 25% of what they owe you
[ ]	If someone owes you £250 and they pay back £50, they have paid back 2% of what they owe you
[ ]	If someone owes you £250 and they pay back £50, they have paid back 20% of what they owe you
[ ]	If someone owes you £250 and they pay back £50, they have paid back 200% of what they owe you

8.

Which one of the following calculations or statements is correct?

[ ]	If you buy something for £45 and later sell it at £35, you have made a profit of £10
[ ]	If you buy something for £45 and later sell it at £35, you have made a loss of £-10
[ ]	If you buy something for £45 and later sell it at £35, you have made a loss of £15
[ ]	If you buy something for £45 and later sell it at £35, you have made a loss of £10

9.

Which one of the following calculations or statements is correct?

[ ]	There are five hundred 20 p coins in £100
[ ]	There are four hundred 20 p coins in £100
[ ]	There are two hundred 20 p coins in £100
[ ]	There are six hundred 20 p coins in £100

10.

Which one of the following calculations or statements is correct?

[ ]	If 35% of £600 was spent on entertainment, £210 was spent on food and bills
[ ]	If 35% of £600 was spent on entertainment, £390 was spent on food and bills
[ ]	If 35% of £600 was spent on entertainment, £309 was spent on food and bills
[ ]	If 35% of £600 was spent on entertainment, £120 was spent on food and bills

Maths Quiz - Solving Problems - Money (Difficult) (Answers)

1.

Which one of the following calculations or statements is correct?

[ ]	If you sell something at six times what it cost you to buy it, then you make a 600% profit
[ ]	If you sell something at five times what it cost you to buy it, then you make a 500% profit
[x]	If you sell something at six times what it cost you to buy it, then you make a 500% profit
[ ]	If you sell something at five times what it cost you to buy it, then you make a 600% profit

For example: if Selling Price = £6 and Cost Price = £1, Profit = £6 - £1 = £5: a profit of £5. Now £5 as a percentage of £1 = ⁵?₁ × 100% = 500%. Yes! Don't fall into the trap of thinking that if you sell it at six times its cost, then you will make a 600% profit: you have to subtract the original cost from your selling price before you can call it profit

2.

Which one of the following calculations or statements is correct?

[ ]	If £1 = €1.2, then £450 = €357
[ ]	If £1 = €1.2, then £450 = €504
[ ]	If £1 = €1.2, then £450 = €375
[x]	If £1 = €1.2, then £450 = €540

£450 = 1.2 × 450 = €540

3.

Which one of the following calculations or statements is correct?

[ ]	If there is a 25% discount on the sale/cost price, it means that the sale/cost price has been reduced by one eighth
[x]	If there is a 25% discount on the sale/cost price, it means that the sale/cost price has been reduced by one quarter
[ ]	If there is a 75% discount on the sale/cost price, it means that the sale/cost price has been reduced by one half
[ ]	If there is a 50% discount on the sale/cost price, it means that the sale/cost price has been reduced by three quarters

25% = ²⁵?₁₀₀ = ¹?₄

4.

Which one of the following calculations or statements is correct?

[ ]	If £1 = $1.6, then $1,600 = £2,560
[x]	If £1 = $1.6, then $1,600 = £1,000
[ ]	If £1 = $1.6, then $1,600 = £100
[ ]	If £1 = $1.6, then $1,600 = £256

If £1 = $1.6, then $1,600 = 1,600 ÷ 1.6 = £1,000. You have to divide 1,600 by 1.6 because you want to find out how many 'lots' of 1.6 there are in 1,600: each 'lot' equals £1: this is the same as adding 'lots' of 1.6 to itself until you get to 1,600

5.

Which one of the following calculations or statements is correct?

[x]	£1,010 + £110.00 + £10.01 = £1,130.01
[ ]	£1,010 + £110.00 + £10.01 = £1,130.10
[ ]	£1,010 + £110.00 + £10.01 = £1,103.01
[ ]	£1,010 + £110.00 + £10.01 = £1,310.01

Just add the numbers up to see it!

6.

Which one of the following calculations or statements is correct?

[ ]	If you buy something for £4 and sell it for £12, you have sold it for 30% more than what it cost you to buy
[ ]	If you buy something for £4 and sell it for £12, you have sold it for 3% more than what it cost you to buy
[x]	If you buy something for £4 and sell it for £12, you have sold it for 300% more than what it cost you to buy
[ ]	If you buy something for £4 and sell it for £12, you have sold it for 3000% more than what it cost you to buy

12 as a percentage of 4 is given by ¹²?₄ × 100 = ³?₁ × 100 = 300%. What's the percentage profit?

7.

Which one of the following calculations or statements is correct?

[ ]	If someone owes you £250 and they pay back £50, they have paid back 25% of what they owe you
[ ]	If someone owes you £250 and they pay back £50, they have paid back 2% of what they owe you
[x]	If someone owes you £250 and they pay back £50, they have paid back 20% of what they owe you
[ ]	If someone owes you £250 and they pay back £50, they have paid back 200% of what they owe you

50 as a percentage of 250 is given by ⁵⁰?₂₅₀ × 100 = ¹?₅ × 100 = 20%

8.

Which one of the following calculations or statements is correct?

[ ]	If you buy something for £45 and later sell it at £35, you have made a profit of £10
[ ]	If you buy something for £45 and later sell it at £35, you have made a loss of £-10
[ ]	If you buy something for £45 and later sell it at £35, you have made a loss of £15
[x]	If you buy something for £45 and later sell it at £35, you have made a loss of £10

Profit = Selling Price - Cost Price = £35 - £45 = £10. You have made a loss of £10 NOT £-10

9.

Which one of the following calculations or statements is correct?

[x]	There are five hundred 20 p coins in £100
[ ]	There are four hundred 20 p coins in £100
[ ]	There are two hundred 20 p coins in £100
[ ]	There are six hundred 20 p coins in £100

There are five 20 p coins in £1 ? in £100 there are 100 × 5 = 500

10.

Which one of the following calculations or statements is correct?

[ ]	If 35% of £600 was spent on entertainment, £210 was spent on food and bills
[x]	If 35% of £600 was spent on entertainment, £390 was spent on food and bills
[ ]	If 35% of £600 was spent on entertainment, £309 was spent on food and bills
[ ]	If 35% of £600 was spent on entertainment, £120 was spent on food and bills

35% of £600 = ³⁵?₁₀₀ × 600 = ⁷?₂₀ × 600 = £210 which was spent on entertainment ? £600 - £210 = £390 was spent on food and bills