Master Ratios and Proportions: Engage in Interactive Learning Quizzes

Question 1

A rectangular painting measures 50cm by 30cm. If the painting is enlarged so that its length becomes 75cm, what will be its new width?

Accepted Answer

37.5cm

Answer

22.5cm

Answer

45cm

Answer

60cm

Question 2

A construction team takes 12 hours to complete a building project. If the number of people working on the team is doubled, how long will it take to complete the same project?

Accepted Answer

6 hours

Answer

12 hours

Answer

18 hours

Answer

24 hours

Question 3

A map has a scale of 1:50000. What is the actual distance between two points that are 10 cm apart on the map?

Accepted Answer

5 km

Answer

500 m

Answer

50 km

Answer

500 km

Question 4

Which of the following is NOT a similarity between two shapes?

Accepted Answer

Same colour

Answer

Same shape

Answer

Same size

Answer

Same angles

Question 5

Two triangles are similar. The base of the first triangle is 10 cm and the base of the second triangle is 15 cm. If the height of the first triangle is 8 cm, what is the height of the second triangle?

Accepted Answer

14 cm

Answer

10 cm

Answer

12 cm

Answer

16 cm

Question 6

Which of the following is not a proportion?

Accepted Answer

2/3 = 0.66

Answer

3:6 = 1:2

Answer

4:8 = 0.5:1

Question 7

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

Accepted Answer

60 mph

Answer

30 mph

Answer

90 mph

Question 8

A water tank can hold 20 liters of water. If the tank is filled to 3/5 of its capacity, how much water is in the tank?

Accepted Answer

12 liters

Answer

6 liters

Answer

18 liters

Question 9

Two companies offer different pay rates. Company A pays £12 per hour and Company B pays 1.5 times as much. How much does Company B pay per hour?

Accepted Answer

£18

Answer

£15

Answer

£21

Question 10

In a bag of sweets, there are 10 red sweets and 6 blue sweets. If Peter takes 2 red sweets, what is the new ratio of red to blue sweets?

Accepted Answer

5:3

Answer

3:5

Answer

10:6

Answer

6:10

Question 11

A bag of sweets contains red, blue, and green sweets in the ratio of 2:3:4. If there are 24 red sweets, how many blue sweets are there?

Accepted Answer

18

Answer

12

Answer

24

Answer

36

Question 12

A map has a scale of 1 cm representing 5 km. What is the actual distance represented by 4 cm on the map?

Accepted Answer

10 km

Answer

5 km

Answer

20 km

Answer

25 km

Question 13

If the ratio of the height to the width of a rectangle is 3 : 2, and the width is 10 cm, what is the height?

Accepted Answer

12 cm

Answer

15 cm

Answer

20 cm

Answer

25 cm

Question 14

The ratio of boys to girls in a class is 4 : 3. If there are 15 boys, how many girls are there?

Accepted Answer

12

Answer

11

Answer

13

Answer

14

Question 15

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

Accepted Answer

9 cups

Answer

2 cups

Answer

3 cups

Answer

6 cups

Question 16

In a bag of sweets, there are 5 red sweets and 7 blue sweets. What is the ratio of blue sweets to the total number of sweets?

Accepted Answer

7:12

Answer

5:7

Answer

5:12

Answer

12:7

Question 17

A map has a scale of 1 cm to 5 km. What is the actual distance represented by 3 cm on the map?

Accepted Answer

15 km

Answer

10 km

Answer

20 km

Answer

25 km

Question 18

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

Answer

3:1

Question 19

A car travels 120 km in 2 hours. What is the average speed of the car in km/h?

Accepted Answer

60 km/h

Answer

50 km/h

Answer

70 km/h

Answer

80 km/h

Question 20

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

Accepted Answer

32

Answer

28

Answer

36

Answer

40

Question 21

What is the ratio of 2 meters to 500 centimeters, expressed in simplest form?

Accepted Answer

1:25

Answer

25:1

Answer

1:50

Answer

50:1

Question 22

Which of the following equations represents a direct proportion?

Accepted Answer

y = k/x

Answer

y = 2x + 1

Answer

y = x^2

Answer

y = 1/x

Question 23

Which of the following situations represents an inverse proportion?

Accepted Answer

The speed of a car and the time taken to travel a distance

Answer

The number of hours worked and the amount earned

Answer

The amount of paint needed and the area to be painted

Answer

The number of people in a room and the amount of food needed

Question 24

Simplify the ratio 16:24:

Accepted Answer

2:3

Answer

4:6

Answer

8:12

Answer

16:24

Question 25

A recipe requires 2 cups of flour to 3 cups of sugar. If I double the recipe, how many cups of flour will I need?

Accepted Answer

4 cups

Answer

2 cups

Answer

6 cups

Answer

8 cups

Question 26

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

Accepted Answer

16

Answer

12

Answer

18

Answer

20

Question 27

Find the equivalent proportion to 4:6 = 8:12.

Accepted Answer

2:3 = 4:6

Answer

1:2 = 2:4

Answer

1:3 = 2:6

Answer

2:5 = 4:10

Question 28

What is a proportion?

Accepted Answer

Two equal ratios

Answer

A fraction representing the relationship between two quantities

Answer

An unequal relationship between two quantities

Answer

A ratio comparing more than two quantities

Question 29

Which of the following is NOT a valid method for finding the ratio of two quantities?

Accepted Answer

Multiply one quantity by the other

Answer

Divide one quantity by the other

Answer

Find the percentage of one quantity in the other

Answer

Use a scale factor

Question 30

What scale represents a drawing that is double the actual size?

Accepted Answer

2:1

Answer

1:1

Answer

1:2

Answer

2:2

Question 31

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

Accepted Answer

6 cups

Answer

2 cups

Answer

4 cups

Answer

8 cups

Question 32

If 5 apples cost £2.50, how much will 10 apples cost?

Accepted Answer

£5.00

Answer

£1.25

Answer

£2.50

Answer

£10.00

Question 33

Which of the following is NOT a way to represent a ratio?

Accepted Answer

Total

Answer

Fraction

Answer

Decimal

Answer

Percentage

Question 34

A map has a scale of 5 cm to 100 km. What distance on the map represents 250 km in real life?

Accepted Answer

2.5 cm

Answer

1.25 cm

Answer

5 cm

Answer

10 cm

Question 35

Which of the following is NOT a valid proportion?

Accepted Answer

1:2 = 2:3

Answer

2:3 = 4:6

Answer

10:15 = 2:3

Answer

15:20 = 3:4

Question 36

Simplify the ratio 12:18

Accepted Answer

2:3

Answer

3:4

Answer

4:5

Answer

5:6

Question 37

Which of the following is NOT a proportion?

Accepted Answer

3:5 = 5:7

Answer

2:3 = 4:6

Answer

3:4 = 6:8

Answer

2:6 = 4:12

Question 38

A map has a scale of 1:50,000. If the distance between two towns on the map is 10 cm, what is the actual distance between the towns?

Accepted Answer

5 km

Answer

500 m

Answer

50 km

Answer

500 km

Question 39

The ratio of boys to girls in a class is 2:3. If there are 18 girls in the class, how many boys are there?

Accepted Answer

12

Answer

9

Answer

15

Answer

18

Question 40

A bag contains 4 red marbles and 6 blue marbles. What is the ratio of red marbles to blue marbles in its simplest form?

Accepted Answer

2:3

Answer

3:2

Answer

4:6

Answer

6:4

Question 41

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

Accepted Answer

6 cups

Answer

2 cups

Answer

4 cups

Answer

8 cups

Question 42

A bag of apples weighs 5 kg and contains 15 apples. What is the weight of one apple?

Accepted Answer

0.33 kg

Answer

1 kg

Answer

0.5 kg

Answer

0.75 kg

Question 43

A map has a scale of 1:25,000. If the distance on the map between two towns is 15 cm, what is the actual distance between the towns?

Accepted Answer

3.75 km

Answer

1 km

Answer

10 km

Answer

5 km

Question 44

Two similar triangles have a ratio of their areas as 1:4. If the area of the smaller triangle is 20 cm², what is the area of the larger triangle?

Accepted Answer

80 cm²

Answer

24 cm²

Answer

36 cm²

Answer

60 cm²

Question 45

A scale drawing of a house has a scale of 2 cm : 5 m. If the length of the house in the drawing is 20 cm, what is the actual length of the house?

Accepted Answer

50 m

Answer

12 m

Answer

30 m

Answer

100 m

Question 46

What is the simplest ratio of 2 meters to 50 centimeters?

Accepted Answer

4:1

Answer

2:5

Answer

1:4

Answer

5:2

Question 47

Which of the following is NOT a proportion?

Accepted Answer

2/3 ≠ 4/6

Answer

5:7 = 15:21

Answer

3:4 = 9:12

Answer

10/15 = 2/3

Question 48

A map has a scale of 1 inch to 10 miles. What is the distance on the map between two cities that are 35 miles apart in real life?

Accepted Answer

3.5 inches

Answer

0.35 inches

Answer

35 inches

Question 49

A swimming pool has a length of 20 meters and a width of 10 meters. What is the ratio of the perimeter to the area of the pool?

Accepted Answer

2:1

Answer

1:2

Answer

1:3

Answer

3:1

Question 50

A car travels 240 miles in 4 hours. What is the average speed of the car in miles per hour?

Accepted Answer

60 mph

Answer

120 mph

Answer

90 mph

Answer

30 mph

Question 51

A bag of rice contains 2.5 kg of rice. If I use 0.75 kg of rice to make a meal, what fraction of the rice in the bag have I used?

Accepted Answer

3/10

Answer

1/2

Answer

1/4

Question 52

A store is offering a discount of 15% off all items. If a shirt originally costs £20, how much will it cost after the discount is applied?

Accepted Answer

£17

Answer

£18

Answer

£19

Answer

£15

Question 53

A recipe requires 2 cups of flour to make 12 cookies. How many cups of flour are needed to make 36 cookies?

Accepted Answer

6

Answer

3

Answer

2

Answer

4

Question 54

The ratio of apples to oranges in a fruit basket is 3:5. If there are 24 apples, how many oranges are there?

Accepted Answer

40

Answer

30

Answer

20

Answer

15

Question 55

Two similar triangles have a scale factor of 2:3. If the smaller triangle has a side length of 5 cm, what is the corresponding side length in the larger triangle?

Accepted Answer

7.5 cm

Answer

6 cm

Answer

4 cm

Answer

10 cm

Question 56

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

Accepted Answer

50 km

Answer

5 km

Answer

25 km

Answer

100 km

Question 57

Two recipes require different amounts of salt. Recipe A uses 1 teaspoon of salt for every 2 cups of flour, while Recipe B uses 1/2 teaspoon of salt for every 1 cup of flour. Which recipe uses a greater proportion of salt?

Accepted Answer

Recipe A

Answer

Cannot be determined

Answer

Recipe B

Answer

Both recipes use the same proportion

Question 58

A company produces shirts in three sizes: small, medium, and large. The ratio of small to medium to large shirts produced is 2:3:4. If the company produces 120 small shirts, how many medium shirts are produced?

Accepted Answer

180

Answer

240

Answer

150

Answer

300

Question 59

Two cars travel at different speeds. Car A travels 120 miles in 2 hours, while Car B travels 180 miles in 3 hours. Which car travels at a faster rate?

Accepted Answer

Car B

Answer

Car A

Answer

Cannot be determined

Answer

Both cars travel at the same rate

Question 60

A blueprint is drawn to a scale of 1:20. If the length of a wall on the blueprint is 5 cm, what is the actual length of the wall?

Accepted Answer

100 cm

Answer

50 cm

Answer

200 cm

Answer

25 cm

Question 61

A mixture of two liquids has a ratio of 3:5. If there are 12 liters of liquid A, how many liters of liquid B are there?

Accepted Answer

20

Answer

15

Answer

25

Question 62

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

Accepted Answer

18

Answer

22

Answer

16

Answer

20