Ratio and Proportion Quizzes for Year 6 Maths

Question 1

Express the ratio 3:5 as a fraction in its simplest form.

Accepted Answer

3/5

Answer

5/3

Answer

3:8

Answer

5:8

Question 2

A train travels 150 miles in 2 hours. If the train maintains the same speed, how many hours will it take to travel 300 miles?

Accepted Answer

4 hours

Answer

1 hour

Answer

2 hours

Question 3

A scale drawing of a building shows that the height of the building on the drawing is 5 centimeters. The actual height of the building is 20 meters. What is the scale of the drawing?

Accepted Answer

1:400

Answer

1:4

Answer

4:1

Answer

400:1

Question 4

A map has a scale of 1 cm to 50,000 cm. What is the actual distance, in meters, between two points on the map if the distance on the map is 10 centimeters?

Accepted Answer

500 m

Answer

5 km

Answer

50,000 cm

Answer

500,000 cm

Question 5

A triangle has a base of 6 cm and a height of 8 cm. A rectangle has the same base and height as the triangle. What is the ratio of the triangle's area to the rectangle's area?

Accepted Answer

1 : 2

Answer

1 : 1

Answer

2 : 1

Answer

1 : 4

Question 6

A rectangular garden measures 10 meters in length and 6 meters in width. The length of the garden is increased by 20%. What is the new length of the garden?

Accepted Answer

12 meters

Answer

8 meters

Answer

15 meters

Answer

6 meters

Question 7

A bag contains 6 red marbles and 4 blue marbles. What is the ratio of red marbles to the total number of marbles?

Accepted Answer

3:5

Answer

2:5

Answer

3:4

Answer

4:5

Question 8

A shop has a sale where t-shirts are priced at a ratio of 3:2 to jeans. If a t-shirt costs £12, how much do the jeans cost?

Accepted Answer

£16

Answer

£8

Answer

£24

Answer

£36

Question 9

A scale model of a car has a scale of 1:20. The actual car is 4.5 metres long. What is the length of the scale model?

Accepted Answer

18cm

Answer

9cm

Answer

22.5cm

Answer

45cm

Question 10

A recipe for a fruit punch uses 2 litres of orange juice for every 3 litres of pineapple juice. What is the ratio of orange juice to pineapple juice in the recipe?

Accepted Answer

2:3

Answer

3:2

Answer

3:5

Answer

5:3

Question 11

Which of the following is NOT a proportion?

Accepted Answer

1:2 = 3:5

Answer

2/3 = 4/6

Answer

3:4 = 6:8

Answer

5:10 = 10:20

Question 12

A bag of rice weighs 5 kg. If the ratio of rice to beans in a mixture is 2:1, how much beans should be added to make 10 kg of the mixture?

Accepted Answer

7.5 kg

Answer

2.5 kg

Answer

5 kg

Answer

10 kg

Question 13

A car travels 120 miles in 2 hours. What is the average speed of the car?

Accepted Answer

60 mph

Answer

30 mph

Answer

90 mph

Answer

120 mph

Question 14

A recipe calls for 3 cups of flour and 2 cups of sugar. If you want to double the recipe, how many cups of flour will you need?

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Question 15

A recipe needs 2 cups of flour for every 3 cups of sugar. If you want to double the recipe, how many cups of flour will you need?

Accepted Answer

6 cups

Answer

3 cups

Answer

4 cups

Answer

8 cups

Question 16

A scale drawing of a house is 1:100. If the length of the house on the drawing is 12 cm, what is the actual length of the house?

Accepted Answer

12 m

Answer

1.2 m

Answer

120 m

Answer

1200 m

Question 17

Which of these is a proportion?

Accepted Answer

2:3 = 4:6

Answer

2 + 3 = 4 + 6

Answer

2 - 3 = 4 - 6

Answer

2 x 3 = 4 x 6

Question 18

Which of the following is equivalent to the ratio 5 : 7?

Accepted Answer

10 : 14

Answer

15 : 21

Answer

20 : 28

Answer

25 : 35

Question 19

A recipe calls for 1 cup of flour for every 2 cups of milk. If you want to double the recipe, how much flour and milk will you need?

Accepted Answer

4 cups flour, 4 cups milk

Answer

2 cups flour, 2 cups milk

Answer

2 cups flour, 4 cups milk

Answer

4 cups flour, 2 cups milk

Question 20

A recipe calls for 2 cups of flour to every 1 cup of milk. How many cups of milk are needed to make a cake that uses 6 cups of flour?

Accepted Answer

3 cups

Answer

2 cups

Answer

4 cups

Answer

5 cups

Question 21

Which of the following is a proportion?

Accepted Answer

2/3 = 4/6

Answer

1/2 < 1/4

Answer

3:5 > 2:4

Answer

2 + 3 = 5 + 1

Question 22

If the height of a tree is 12 metres and its shadow is 6 metres long, what is the ratio of the tree's height to the length of its shadow?

Accepted Answer

2:1

Answer

1:2

Answer

1:1

Answer

2:3

Question 23

A recipe calls for 2 cups of flour and 3 eggs. How many eggs would you need if you want to triple the recipe?

Accepted Answer

9

Answer

3

Answer

4

Answer

6

Question 24

What is the meaning of a ratio?

Accepted Answer

A comparison of two numbers or quantities

Answer

A fraction

Answer

A percentage

Answer

A sum

Question 25

Which of the following equations shows a proportion?

Accepted Answer

2/5 = 4/10

Answer

2 + 5 = 4 + 10

Answer

2/5 > 4/10

Answer

2/5 < 4/10

Question 26

Solve for x in the proportion: 3:x = 5:15

Accepted Answer

9

Answer

5

Answer

15

Answer

25

Question 27

A farmer has 120 cows and 80 sheep. What is the ratio of cows to sheep?

Accepted Answer

2:3

Answer

1:2

Answer

3:4

Answer

4:5

Question 28

A bag contains 3 red marbles and 5 blue marbles. What is the ratio of red marbles to blue marbles?

Accepted Answer

3:5

Answer

1:2

Answer

5:3

Answer

2:3

Question 29

Two cars travel the same distance. Car A takes 4 hours and Car B takes 6 hours. What is the speed ratio of Car A to Car B?

Accepted Answer

3:2

Answer

2:3

Answer

4:6

Answer

6:4

Question 30

Kate and John are sharing a pizza. Kate eats 2 slices and John eats 3 slices. What is the ratio of the number of slices Kate eats to the number of slices John eats?

Accepted Answer

2:3

Answer

3:2

Answer

2:5

Answer

5:2

Question 31

A map has a scale of 1:50000. What is the actual distance represented by 5 cm on the map?

Accepted Answer

2500 m

Answer

250 km

Answer

500 km

Answer

5000 m

Question 32

A recipe calls for 2 cups of flour to 3 cups of sugar. If you want to make a double batch, how many cups of sugar will you need?

Accepted Answer

8

Answer

4

Answer

6

Answer

10

Question 33

A scale model of a building is 1:20. If the model is 5 cm high, what is the actual height of the building in metres?

Accepted Answer

10

Answer

1

Answer

100

Answer

1000

Question 34

In a scale drawing of a house, 10 cm represents an actual length of 5 m. What is the scale factor?

Accepted Answer

1:50

Answer

50:1

Answer

1:500

Answer

500:1

Question 35

A bag of sweets has 3 red sweets for every 5 blue sweets. If there are 12 red sweets in the bag, how many blue sweets are there?

Accepted Answer

20

Answer

15

Answer

25

Answer

30

Question 36

Which of the following ratios is in its simplest form?

Accepted Answer

6:9

Answer

8:12

Answer

10:15

Answer

12:18

Question 37

A recipe calls for 2 cups of flour to 1 cup of sugar. What is the ratio of flour to sugar?

Accepted Answer

2:1

Answer

1:2

Answer

1:1

Answer

3:2

Question 38

A car travels 120 miles in 2 hours. What is its average speed in miles per hour?

Accepted Answer

60

Answer

40

Answer

80

Answer

100

Question 39

To make a cake, you need a 3:1 ratio of self-raising flour to sugar. How much self-raising flour do you need to make a cake that requires 500g of sugar?

Accepted Answer

750g

Answer

500g

Answer

1000g

Answer

1500g

Question 40

The ratio of boys to girls in a class is 3:4. If there are 12 girls in the class, how many boys are there?

Accepted Answer

9

Answer

12

Question 41

A recipe calls for 2 cups of flour to 3 cups of sugar. If you want to double the recipe, how many cups of sugar will you need?

Accepted Answer

6

Answer

4.5

Question 42

A car travels 120 miles in 2 hours. What is the average speed of the car in miles per hour (mph)?

Accepted Answer

60 mph

Answer

120 mph

Answer

180 mph

Question 43

Simplify the ratio 10:25 to its simplest form.

Accepted Answer

2:5

Answer

1:2

Answer

1:5

Question 44

A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar in the recipe?

Accepted Answer

2:1

Answer

1:1

Answer

1:2

Question 45

To make 6 cupcakes, you need 120g of flour. How much flour will you need for 12 cupcakes?

Accepted Answer

240g

Answer

120g

Answer

180g

Answer

360g

Question 46

A map is drawn to a scale of 1:25,000. If the distance between two towns on the map is 4cm, what is the actual distance between the towns?

Accepted Answer

2.5km

Answer

100,000cm

Answer

1km

Answer

10km

Question 47

A map has a scale of 1:50,000. What distance on the map represents 2 kilometers on the ground?

Accepted Answer

4 cm

Answer

2 cm

Answer

20 cm

Answer

40 cm

Question 48

Which of the following is NOT a purpose of using ratios?

Accepted Answer

Solving equations

Answer

Comparing quantities

Answer

Simplifying fractions

Answer

Finding missing values

Question 49

In a triangle, the ratio of the length of side A to the length of side B is 3:5. If the perimeter of the triangle is 36 cm, what is the length of side A?

Accepted Answer

12 cm

Answer

9 cm

Answer

15 cm

Answer

18 cm

Question 50

In a park, the ratio of the number of cats to the number of dogs is 2:3. If there are 15 dogs, how many cats are there?

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 51

A cake recipe calls for 2 cups of flour to 1 cup of sugar. What is the ratio of flour to sugar in the recipe?

Accepted Answer

2:1

Answer

1:2

Answer

1:1

Answer

3:1

Question 52

A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar?

Accepted Answer

2:1

Answer

1:1

Answer

1:2

Answer

2:3

Question 53

Which of the following is NOT a proportion?

Accepted Answer

1:4 = 3:11

Answer

2:3 = 4:6

Answer

3:5 = 9:15

Answer

2:7 = 4:14

Question 54

Which of the following ratios is **not** equivalent to 2 : 3?

Accepted Answer

5 : 7

Answer

4 : 6

Answer

6 : 9

Answer

8 : 14

Question 55

Which of the following is not a proportion?

Accepted Answer

2/3 : 4/5 is not equal to 10/15

Answer

5/7 = 10/14

Answer

2:4 = 3:6

Answer

15:20 = 45:60

Question 56

A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar?

Accepted Answer

2:1

Answer

1:2

Answer

3:1

Answer

4:1

Question 57

A bag of flour weighs 1.5 kilograms. If I use 3/5 of the flour, how many kilograms of flour will I use?

Accepted Answer

0.9 kg

Answer

0.5 kg

Answer

1.2 kg

Answer

1.8 kg

Question 58

The ratio of the number of boys to the number of girls in a class is 3:4. If there are 12 girls in the class, how many boys are there?

Accepted Answer

9

Answer

8

Answer

12

Answer

15

Question 59

A rectangular garden has a length of 12 meters and a width of 8 meters. If the garden is scaled down to a length of 6 meters, what will be the new width?

Accepted Answer

4 meters

Answer

3 meters

Answer

6 meters

Answer

8 meters

Question 60

A bag of sweets contains red, blue, and green sweets in the ratio 2:3:5. If there are 20 red sweets in the bag, how many blue sweets are there?

Accepted Answer

15

Answer

20

Answer

25

Answer

30

Question 61

Which of the following is NOT an equivalent ratio to 3:5?

Accepted Answer

15:25

Answer

6:10

Answer

9:15

Answer

12:20

Question 62

What is the simplest form of the ratio 12:18?

Accepted Answer

2:3

Answer

4:6

Answer

6:9

Answer

8:12

Question 63

Which of the following is a proportion?

Accepted Answer

3:5 = 6:10

Answer

3 + 5 = 6 + 10

Answer

3 - 5 = 6 - 10

Answer

3 * 5 = 6 * 10

Question 64

A car travels 120 miles in 2 hours. What is the average speed of the car?

Accepted Answer

60 mph

Answer

30 mph

Answer

90 mph

Answer

120 mph