Ratio and Proportion - KS2 Maths Lessons Online

Relative Sizes -Ratios

Learning objectives : Pupils should successfully be able to solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts

Relative Sizes- Ratios

Worksheet

Quiz

Ratios

1 / 10

A bag of beads has red and white beads in the ratio 3:7. What fraction of the beads are red?

3/7

7/10

3/10

1/3

2 / 10

Which ratio is equivalent to 2:5?

4:7

6:10

10:25

5:2

3 / 10

In a class, the ratio of girls to boys is 4:5. If there are 20 girls, how many boys are there?

4 / 10

A smoothie recipe uses banana and strawberry in the ratio 1:2. If you use 3 bananas, how many strawberries do you need?

5 / 10

The ratio of green sweets to yellow sweets is 5:3. If there are 15 green sweets, how many yellow sweets are there?

6 / 10

A map uses a scale where 1 cm represents 10 km. What distance does 4 cm represent?

14 km

40 km

2.5 km

4 km

7 / 10

Which statement matches the ratio 3:2?

For every 2 boys, there are 3 girls.

For every 3 cats, there are 2 dogs.

For every 5 pencils, 3 are red.

3 out of 2 children like maths.

8 / 10

The ratio of blue marbles to red marbles is 1:4. If there are 5 blue marbles, how many red marbles are there?

9 / 10

A recipe uses 2 eggs for every 3 cups of flour. If you use 6 eggs, how many cups of flour do you need?

10 / 10

In a fruit bowl, there are 4 apples and 6 oranges. What is the ratio of apples to oranges?

4:10

6:4

2:3

4:6

Your score is

The average score is 90%

Scale Factors

Learning objectives Pupils should successfully be able to solve problems involving similar shapes where the scale factor is known or can be found

Scale Factors

Worksheet

Quiz

Scale factors

1 / 11

A toy dinosaur is 15 cm tall. The real dinosaur was 9 metres tall. What is the scale factor used to make the toy?

1:6

1:60

1:90

1:15

2 / 11

A rectangle is 10 cm long and 4 cm wide. It is enlarged by a scale factor of 3. What are the new dimensions?

13 cm long and 7 cm wide

30 cm long and 12 cm wide

30 cm long and 4 cm wide

10 cm long and 12 cm wide

3 / 11

A shape is reduced by a scale factor of 0.4. One side was 15 cm long. What is its new length?

11 cm

6 cm

9 cm

15 cm

4 / 11

A map has a scale of 1 cm : 5 km. How many kilometres does 6 cm represent?

6 km

11 km

30 km

5 km

5 / 11

Two similar triangles have corresponding sides of 8 cm and 20 cm. What is the scale factor from the smaller to the larger triangle?

1.2

2.5

6 / 11

A photo is reduced by a scale factor of **½**. The original height was 24 cm. What is the new height?

12 cm

22 cm

48 cm

6 cm

7 / 11

A drawing uses a scale of 1:10. A line in the drawing is 7 cm long. What is the real length?

7 cm

17 cm

70 cm

0.7 cm

8 / 11

A rectangle has a width of 5 cm. It is enlarged by a scale factor of 5. What is the new width?

10 cm

20 cm

25 cm

1 cm

9 / 11

Shape A has a side length of 6 cm. Shape B is an enlargement of Shape A with a side length of 18 cm. What is the scale factor?

10 / 11

A model car is made using a scale factor of ¼(or 1:4). If the real car is 400 cm long, how long is the model?

100 cm

1600 cm

40 cm

200 cm

11 / 11

A shape is enlarged by a scale factor of 3. One side was 4 cm long. How long is it now?

7cm

12cm

4cm

1cm

Your score is

The average score is 100%

Percentages of Amounts

Learning objectives : Pupils should successfully be able to solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison

Percentages of Amounts

Worksheet

Quiz

Percentages of amounts

1 / 9

A farmer has 200 sheep. 30% are lambs. How many lambs are there?

100

140

2 / 9

What is 5% of 140?

3 / 9

Maria saved 15% on a £80 tablet. How much did she save?

£8

£12

£15

£68

4 / 9

What is 1% of 400?

0.4

5 / 9

A class has 30 pupils. 20% of them wear glasses. How many pupils wear glasses?

6 / 9

What is 10% of 250?

2.5

100

7 / 9

What is 25% of 48?

8 / 9

A jacket costs £60. It is reduced by 10%. How much is the discount?

£6

£10

£50

£54

9 / 9

What is 50% of 80?

Your score is

The average score is 100%

Comparing using Percentages

Learning objectives Pupils should successfully be able to solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison

Comparing using Percentages

Worksheets

Quiz

Comparing percentages

1 / 8

Two classes took a test:

– Class A: 28 out of 40 pupils passed

– Class B: 72% passed

Which class had a higher pass rate?

Class A

Class B

Both the same

2 / 8

What is 75% of 240°?

120°

180°

200°

210°

3 / 8

A school has 300 pupils. 55% are girls. How many boys are there?

165

150

135

145

4 / 8

Which is larger?

– 40% of 150

– 35% of 180

40% of 150

35% of 180

They are equal

5 / 8

A runner completed 85% of a 40 km race. How many kilometres did she run?

30 km

32 km

34 km

36 km

6 / 8

What is 30% of 240 kg?

24 kg

48 kg

72 kg

96 kg

7 / 8

In a survey of 200 people:

– 60% prefer tea

– 45% prefer coffee

How many more people prefer tea than coffee?

120

8 / 8

Two shops offer discounts on a £90 jacket:

– Shop A: 20% off

– Shop B: £15 off

Which shop gives the bigger discount?

Shop A

Shop B

Both are the same

Your score is

The average score is 100%

Relative Sizes - scaling

Relative Sizes- Scaling

Worksheet

Quiz

Relative sizes – scaling

1 / 10

If 9 stickers cost £1.80, how much would 6 stickers cost?

£0.90

£1.00

£1.20

£1.50

2 / 10

A factory makes 480 toys in 6 hours. How many toys does it make in 1 hour?

3 / 10

5 identical bags of rice weigh 25 kg altogether. How much do 7 bags weigh?

30 kg

35 kg

40 kg

45 kg

4 / 10

A model car is built to a scale where 1 cm represents 20 cm in real life. If the real car is 400 cm long, how long is the model?

10 cm

20 cm

25 cm

40 cm

5 / 10

A printer prints 30 pages in 5 minutes. How many pages can it print in 15 minutes?

6 / 10

If 8 oranges weigh 1600 g, how much do 3 oranges weigh?

200 g

400 g

600 g

800 g

7 / 10

A box of 6 notebooks costs £9. How much does one notebook cost?

£1.20

£1.50

£2.00

£3.00

8 / 10

Tom walks 5 km in 1 hour. If he walks at the same speed, how far will he walk in 4 hours?

9 km

15 km

20 km

25 km

9 / 10

A recipe uses 3 eggs to make 12 cupcakes. How many eggs are needed to make 36 cupcakes?

10 / 10

If 4 pens cost £2.00, how much do 12 pens cost?

£4.00

£5.00

£6.00

£8.00

Your score is

The average score is 100%

Unequal Sharing

Learning objectives : Pupils should successfully be able to solve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Unequal Sharing

Worksheet

Quiz

Unequal sharing

1 / 10

£120 is shared between Leo and Mia so that Leo gets **4 times** as much as Mia. How much does Mia get?

£20

£24

£30

£96

2 / 10

A box contains 48 chocolates. Ravi eats ¼ of them, and Priya eats ⅓ of the **original** amount. How many chocolates are left?

3 / 10

A ribbon 84 cm long is cut into two pieces so that one piece is **three times** as long as the other. How long is the longer piece?

21 cm

42 cm

63 cm

84 cm

4 / 10

Two friends share £50 so that one gets £10 more than the other. How much does the friend with **more** money get?

£20

£25

£30

£40

5 / 10

In a class of 36 pupils, ⅚ are wearing school jumpers. How many pupils are **not** wearing jumpers?

6 / 10

Three children share 60 stickers. Zara gets ½, Liam gets ⅓, and the rest go to Oscar. How many stickers does Oscar get?

7 / 10

A prize of £84 is shared so that Maya gets ⅔ and Sam gets the rest. How much does Sam get?

£21

£28

£42

£56

8 / 10

Tom has twice as many marbles as Jack. Together they have 27 marbles. How many marbles does Tom have?

9 / 10

A bag of 40 sweets is shared so that Lily gets ¾ of the sweets. How many sweets does she get?

10 / 10

£60 is shared between Ava and Ben in the ratio 2:3. How much does Ben get?

£24

£30

£36

£40

Your score is

The average score is 27%

Relative Sizes -Ratios

Scale Factors

Percentages of Amounts

Comparing using Percentages

Relative Sizes - scaling

Unequal Sharing

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