Hello, young mathematicians! Welcome to our exciting quiz on Percentages, Ratios, and Proportion. From shopping discounts to baking your favourite treat, these concepts rule our everyday life. Let's put those skills to the test! Are you ready? Grab your calculators and let the adventure begin!

1.

If 30% of a number is 6, what is the number?

15

18

20

40

To find the original number, you divide the given quantity (6) by 30% (or 0.30), which is 20.

2.

What is 10% of 80?

10

12

8

6

10% of a number is obtained by dividing the number by 10. So 10% of 80 is 8.

3.

A purse and a pair of shoes are sold together for £50, in the ratio 1:3. How much does the purse cost?

£10

£15

£12.50

£25

The total ratio is 4 (1 + 3). £50 divided by 4 units is £12.50 per unit. The purse represents 1 unit which is £12.50.

4.

In a ratio 2:3, if the total is 25, what is the value of the smaller quantity?

10

12.5

15

5

You divide 25 by 5 (total of the ratio 2 + 3) to get each unit. Then multiply by 2 (the smaller quantity) to get 10.

5.

A recipe calls for 2:3:4 ratio of flour, sugar, and butter. If you have 30g of sugar, how much flour do you need?

10g

20g

30g

40g

Here each unit is 10g (30g of sugar is 3 units). Therefore, for 2 units of flour, you need 20g.

6.

What is 75% as a fraction in simplest form?

75% converted to a fraction is ^{75}⁄_{100}, and when simplified, it becomes ^{3}⁄_{4}.

7.

On a map, 3cm represents 60km. How many km are represented by 6cm on the map?

100km

120km

180km

200km

Since 3cm represents 60km, 1cm would represent 20km. Therefore, 6cm would represent 120km.

8.

A printer uses ink at a ratio of 5:3:2 black:cyan:magenta. How much cyan ink will it use if it uses 40ml of black ink?

15ml

20ml

24ml

30ml

Each unit of the ratio represents 8ml (40 divided by 5). The printer will use 24ml of cyan ink (3 units).

9.

If a bike costs £200 and is reduced by 25%, what is the new price?

£150

£180

£160

£175

25% of £200 is £50. Subtracting this from the original price gives us £150.

10.

What is the proportion of 2 hours to a day?

A day has 24 hours, so the proportion of 2 hours to a day is ^{2}⁄_{24}, which simplifies to ^{1}⁄_{12}.