Welcome to the ultimate percentages, ratios, and proportion quiz! This is designed to help you on your KS3 journey, sharpening your knowledge and giving you the confidence to tackle similar problems in your exams. Are you ready to demonstrate your skills and prove that you are a master of these all-important mathematical concepts? Well, fasten your seatbelts, it is quiz time everybody!

1.

What is 75% of 80?

50

55

60

65

2.

What is 25% of 80?

15

20

25

30

One-quarter of any number is 25% of that number. Therefore, ^{1}⁄_{4} of 80 is 20.

3.

The ratio of boys to girls in a class is 3:2. If there are 15 boys, how many girls are there?

8

9

10

11

The value of each part of the ratio is given by: 15 (boys) ÷ 3 (parts) = 5. Hence, for girls: 5 (value per part) x 2 (parts) = 10.

4.

If you divide £90 in the ratio 1:2, how much is the smaller share?

£20

£30

£40

£50

First, add the parts of the ratio (1 + 2 = 3). Then, divide £90 by this: 9 ÷ 3 = 30. Hence, smaller share is £30.

5.

A necklace is made from 70% gold and 30% silver. If the necklace weighs 200g, how much of it is made of gold (if we assume that gold and silver weigh the same)?

120g

130g

140g

150g

70% of 200g is calculated by (70 ÷:100) x 200 = 140g.

6.

There are 16 sweets in a packet. Lisa eats ^{3}⁄_{8} of the sweets. How many sweets does Lisa eat?

5

6

7

8

7.

Write the ratio 4 to 20 in its simplest form.

2:10

1:5

1:6

2:8

Dividing each side of the ratio by their highest common factor, which is 4, gives us 1:5.

8.

Calculate 65% of 120.

78

80

85

90

Cheap trick: To work out 65% of 120, you divide 120 by 100 to get 1% (1.2), multiply that by 65 to get 65%. So, 1.2 x 65 = 78.

9.

What is 35% of 60?

18

21

24

27

Multiply 60 by 35% or 0.35. Therefore, 60 x 0.35 = 21.

10.

Bread is to flour as sandwich is to...?

Chicken

Cheese

Bread

Cucumber

This is an example of part-whole relationship. Just as bread is a part of a sandwich, flour is a part of bread.

^{3}⁄_{4}. So,^{3}⁄_{4}of 80 = 3 ÷ 4 x 80 = 60.