Ratio and Proportion Quizzes: Test Your Understanding

Question 1

A scale drawing of a car is 1 : 10. If the actual length of the car is 4.5 meters, what is the length of the car in the scale drawing?

Accepted Answer

0.45 meters

Answer

0.045 meters

Answer

4.5 meters

Answer

45 meters

Question 2

A map has a scale of 1 cm : 2 km. What is the actual distance between two towns that are 5 cm apart on the map?

Accepted Answer

10 km

Answer

20 km

Answer

5 km

Answer

2.5 km

Question 3

A recipe needs 2 cups of flour for every 1 cup of sugar. If you want to make three times the amount of the recipe, how many cups of flour will you need?

Accepted Answer

6 cups

Answer

4 cups

Answer

2 cups

Answer

8 cups

Question 4

A map has a scale of 1:50,000. This means that 1 cm on the map represents 50,000 cm in real life. What is the actual distance represented by 1 cm on the map?

Accepted Answer

50,000 cm

Answer

5,000 cm

Answer

5 cm

Answer

500,000 cm

Question 5

A car travels 120 miles in 2 hours. To find the car's speed in miles per hour, we divide the total distance by the time taken. What is the speed of the car?

Accepted Answer

60 mph

Answer

120 mph

Answer

30 mph

Answer

240 mph

Question 6

Two triangles are similar. This means they have the same shape but different sizes.  The first triangle has sides of 3 cm and 4 cm. The second triangle has sides of 6 cm and 8 cm. What is the scale factor between the two triangles? (The scale factor tells us how much bigger one triangle is compared to the other.)

Accepted Answer

2

Answer

1.5

Answer

3

Answer

4

Question 7

A company has 3 managers for every 10 employees. If there are 150 employees, how many managers are there?

Accepted Answer

45

Answer

30

Answer

60

Answer

75

Question 8

A recipe uses 1/4 cup of sugar for every 1/2 cup of flour. If you want to make a cake using 1 cup of flour, how much sugar will you need?

Accepted Answer

1/2 cup

Answer

1/4 cup

Answer

3/4 cup

Answer

1 cup

Question 9

Two numbers are in the ratio 2:5. This means that for every 2 parts of the first number, there are 5 parts of the second number. If the smaller number is 12, what is the larger number?

Accepted Answer

30

Answer

17

Answer

24

Answer

60

Question 10

In a class, the ratio of boys to girls is 3:4. This means for every 3 boys, there are 4 girls. If there are a total of 21 students, how many are girls?

Accepted Answer

12

Answer

18

Answer

15

Answer

9

Question 11

A rectangle has a length of 15 cm and a width of 10 cm. A similar rectangle (meaning it has the same shape) has a length of 22.5 cm. What is the width of the similar rectangle?

Accepted Answer

15cm

Answer

20cm

Answer

10cm

Answer

12.5cm

Question 12

A tap fills a 12-liter container in 3 minutes. What is its flow rate in liters per minute?

Accepted Answer

4 liters/minute

Answer

6 liters/minute

Answer

12 liters/minute

Answer

3 liters/minute

Question 13

A painter mixes blue and yellow paint in the ratio 3:2 to create green paint. If he needs 20 liters of green paint, how many liters of blue paint does he need?

Accepted Answer

12 liters

Answer

15 liters

Answer

8 liters

Answer

10 liters

Question 14

A machine produces 40 items in 2 hours.  If it continues at the same rate, how many items will it produce in 7 hours?

Accepted Answer

140 items

Answer

280 items

Answer

80 items

Answer

120 items

Question 15

A bag of sweets contains 2 red sweets for every 3 blue sweets. If there are 12 blue sweets in the bag, how many red sweets are there?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 16

A map has a scale of 1:25,000. This means 1 cm on the map represents 25,000 cm in real life. What is the actual distance, in kilometers, represented by 5 cm on the map?

Accepted Answer

1.25

Answer

5

Answer

2.5

Answer

0.25

Question 17

Two similar triangles have a side length ratio of 2:3. If the shortest side of the smaller triangle is 4 cm, what is the length of the corresponding side in the larger triangle?

Accepted Answer

6 cm

Answer

8 cm

Answer

5 cm

Answer

7 cm

Question 18

A car travels 180 miles in 3 hours. What is the average speed of the car in miles per hour?

Accepted Answer

60

Answer

120

Answer

30

Answer

90

Question 19

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

Accepted Answer

1

Answer

0.5

Answer

2

Answer

1.5

Question 20

A rectangular garden is 6 meters long and 4 meters wide. What is the length of the garden after it is enlarged by a scale factor of 3?

Accepted Answer

18 meters

Answer

12 meters

Answer

24 meters

Answer

9 meters

Question 21

A map has a scale of 2 cm to 5 km. This means 2 cm on the map represents 5 km in real life. What is the distance on the ground, in kilometers, represented by 10 cm on the map?

Accepted Answer

25

Answer

50

Answer

100

Answer

10

Question 22

Two similar triangles have sides in the ratio 4:5. The smaller triangle has a perimeter of 30 cm. What is the perimeter of the larger triangle?

Accepted Answer

37.5 cm

Answer

25 cm

Answer

60 cm

Answer

50 cm

Question 23

A car travels 240 miles in 4 hours. What is the average speed of the car in kilometers per hour? (Use 1 mile = 1.6 km)

Accepted Answer

96

Answer

180

Answer

60

Answer

120

Question 24

A scale model of a car is built using a scale of 1:24. The model car is 15 cm long. How long is the actual car?

Accepted Answer

360 cm

Answer

180 cm

Answer

480 cm

Answer

720 cm

Question 25

In a class, the ratio of boys to girls is 3:4. There are 24 boys in the class. How many girls are there?

Accepted Answer

32

Answer

44

Answer

18

Answer

28

Question 26

A map uses a scale where 1 cm represents 5 km. Two towns are 10 cm apart on the map. What is the actual distance between the towns?

Accepted Answer

50 km

Answer

75 km

Answer

100 km

Answer

25 km

Question 27

The areas of two similar triangles are in the ratio 9:16. The perimeter of the larger triangle is 48 cm. What is the perimeter of the smaller triangle?

Accepted Answer

36 cm

Answer

24 cm

Answer

40 cm

Answer

18 cm

Question 28

A mixture of red and blue paint has a ratio of red to blue of 2:3. 12 liters of red paint are added, making the ratio 1:1. How many liters of blue paint were originally in the mixture?

Accepted Answer

18 liters

Answer

36 liters

Answer

24 liters

Answer

12 liters

Question 29

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

Accepted Answer

60 mph

Answer

30 mph

Answer

120 mph

Answer

90 mph

Question 30

A recipe uses 2 cups of flour and 1 cup of sugar. If you double the recipe, how many cups of sugar will you need?

Accepted Answer

2 cups

Answer

1 cup

Answer

4 cups

Answer

3 cups

Question 31

The ratio of the length to the width of a rectangle is 5:3. The rectangle's perimeter is 56 cm. What is the length of the rectangle?

Accepted Answer

35 cm

Answer

42 cm

Answer

28 cm

Answer

21 cm

Question 32

A store sells apples at a ratio of 3 apples for £1. If a customer buys 12 apples, how much will they pay?

Accepted Answer

£4

Answer

£5

Answer

£2

Answer

£3

Question 33

The ratio of the number of red marbles to the number of blue marbles in a bag is 2:5. If there are 30 marbles in total, how many of them are red?

Accepted Answer

12

Answer

15

Answer

24

Answer

6

Question 34

A map has a scale of 1:500,000. The distance between two cities on the map is 10 cm. What is the actual distance between the cities in kilometers?

Accepted Answer

50 km

Answer

100 km

Answer

20 km

Answer

250 km

Question 35

What is the ratio of the volume of a cube with a side length of 5 cm to the volume of a cube with a side length of 2 cm?

Accepted Answer

125:8

Answer

8:125

Answer

25:8

Answer

12:5

Question 36

A recipe for 8 people calls for 250g of flour. How much flour is needed for 15 people?

Accepted Answer

468.75g

Answer

375g

Answer

200g

Answer

500g

Question 37

A car travels 160 miles in 2 hours. What is the average speed of the car in miles per hour?

Accepted Answer

80 mph

Answer

20 mph

Answer

120 mph

Answer

40 mph

Question 38

A rectangular garden has a length of 12 meters and a width of 8 meters. What is the ratio of the perimeter to the area of the garden?

Accepted Answer

1:2

Answer

1:4

Answer

4:1

Answer

2:1

Question 39

A train travels a distance of 240 miles in 4 hours. If the train maintains the same speed, how long will it take to travel 360 miles?

Accepted Answer

6 hours

Answer

3 hours

Answer

12 hours

Answer

9 hours

Question 40

What is the scale factor of a triangle that is similar to another triangle with a side length of 5 cm, where the corresponding side length of the similar triangle is 10 cm?

Accepted Answer

2

Answer

4

Answer

0.5

Answer

8

Question 41

A company has a profit margin of 20%. If the company makes a profit of £12,000, what is the company's turnover?

Accepted Answer

£60,000

Answer

£20,000

Answer

£100,000

Answer

£48,000

Question 42

The ratio of the number of boys to the number of girls in a class is 3:4. If there are 24 boys in the class, how many girls are there?

Accepted Answer

32

Answer

20

Answer

16

Answer

28

Question 43

A map has a scale of 1:250,000. Two towns on the map are 5 cm apart. What is the actual distance between the towns in kilometers?

Accepted Answer

12.5 km

Answer

50 km

Answer

25 km

Answer

100 km