Ratio and Proportion Quizzes: Master Ratios and Proportions in Mathematics

Question 1

A map has a scale of 1:250,000. If the distance on the map between two towns is 4 cm, what is the actual distance between the towns?

Accepted Answer

100 km

Answer

10 km

Answer

1000 km

Answer

10,000 km

Question 2

Two recipes use the same ingredients in different quantities. Recipe 1 uses 2 eggs and 3 cups of milk, while Recipe 2 uses 4 eggs and 6 cups of milk. Are the two ratios equivalent?

Accepted Answer

Yes

Answer

No

Answer

Cannot be determined

Question 3

A rectangular garden is 4 meters long and 3 meters wide. If the garden is enlarged by a factor of 2, what will be its new dimensions?

Accepted Answer

8 meters by 6 meters

Answer

6 meters by 4 meters

Answer

8 meters by 4 meters

Answer

4 meters by 6 meters

Question 4

Which of the following statements about proportions is true?

Accepted Answer

The cross-products of a proportion are always equal.

Answer

The sum of the means is equal to the product of the extremes.

Answer

The difference of the means is equal to the quotient of the extremes.

Answer

The product of the means is equal to the difference of the extremes.

Question 5

A recipe requires 2 cups of flour for every 1 cup of sugar. Express the ratio of flour to sugar.

Accepted Answer

2:1

Answer

1:2

Answer

1:4

Answer

4:1

Question 6

Which of the following is a cross-multiplication method for solving proportions?

Accepted Answer

a multiplied by d equals b multiplied by c

Answer

a/b is equal to c/d

Answer

a added to b equals c added to d

Answer

a subtracted from b equals c subtracted from d

Question 7

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

Accepted Answer

60 mph

Answer

30 mph

Answer

90 mph

Answer

120 mph

Question 8

Which of the following is NOT equivalent to the ratio 2:3?

Accepted Answer

8:12

Answer

4:6

Answer

6:9

Answer

10:15

Question 9

A bag of sweets contains 2 red sweets for every 3 green sweets. If there are 18 green sweets in the bag, how many red sweets are there?

Accepted Answer

12

Answer

6

Answer

15

Answer

18

Question 10

A recipe calls for 1 cup of flour to 2 cups of milk. If you only have 1/2 cup of flour, how much milk should you use?

Accepted Answer

1/4 cup

Answer

1 cup

Answer

1/2 cup

Answer

1/8 cup

Question 11

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

Accepted Answer

12

Answer

10

Answer

14

Answer

16

Question 12

A map has a scale of 1:25000. What is the actual distance between two points on the map that measure 5 cm apart?

Accepted Answer

1.25 kilometres

Answer

125 metres

Answer

12.5 kilometres

Answer

125 kilometres

Question 13

Which of the following is the correct proportion for the statement: 'The ratio of red cars to blue cars is 2:3'?

Accepted Answer

2 red cars : 3 blue cars

Answer

3 red cars : 2 blue cars

Answer

2 red cars : 3 cars

Answer

3 red cars : 2 cars

Question 14

A scale model of a car is made in the ratio 1:10. If the actual car is 4.5 m long, what is the length of the scale model?

Accepted Answer

0.45 m

Answer

0.9 m

Answer

4.5 m

Answer

45 m

Question 15

In a class, the ratio of girls to boys is 3:5. If there are 24 girls in the class, how many boys are there?

Accepted Answer

20

Answer

15

Answer

30

Answer

40

Question 16

A recipe calls for 2 cups of flour to 3 cups of sugar. How many cups of flour are needed if 9 cups of sugar are used?

Accepted Answer

6

Answer

4

Answer

5

Answer

7

Question 17

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

Accepted Answer

80

Answer

40

Answer

60

Answer

100

Question 18

Which of the following is a cross-product of the proportion 4:6 = 8:x?

Accepted Answer

48 = 8x

Answer

24 = 48

Answer

24 = 8x

Answer

48 = 24x

Question 19

If the ratio of the length to the width of a rectangle is 3:2, and the length is 12 cm, what is the width?

Accepted Answer

8 cm

Answer

4 cm

Answer

6 cm

Answer

10 cm

Question 20

A recipe calls for flour and sugar in the ratio 3:2. If you use 240 grams of flour, how much sugar do you need?

Accepted Answer

160

Answer

180

Answer

200

Answer

120

Question 21

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

Accepted Answer

60 mph

Answer

120 mph

Answer

90 mph

Answer

30 mph

Question 22

The ratio of the areas of two similar triangles is 9:16. The smaller triangle has an area of 36 cm². What is the area of the larger triangle?

Accepted Answer

64cm²

Answer

72cm²

Answer

48cm²

Answer

80cm²

Question 23

John has a bag of apples and oranges in the ratio 3:4. If he has 21 oranges, how many apples does he have?

Accepted Answer

16

Answer

28

Answer

12

Answer

24

Question 24

A map has a scale of 1:100,000. If the distance between two cities on the map is 5 cm, what is the actual distance between the cities?

Accepted Answer

500 km

Answer

50,000 km

Answer

50 km

Answer

5,000 km

Question 25

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

Accepted Answer

4 cups

Answer

6 cups

Answer

8 cups

Answer

2 cups

Question 26

The ratio of the length to the width of a rectangle is 5:3. If the length is 30 cm, what is the width?

Accepted Answer

18 cm

Answer

24 cm

Answer

15 cm

Answer

21 cm

Question 27

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

Accepted Answer

18

Answer

27

Answer

15

Answer

21

Question 28

A car travels 200 km in 2 hours. What is the average speed of the car?

Accepted Answer

100 km/h

Answer

250 km/h

Answer

50 km/h

Answer

150 km/h

Question 29

A scale drawing has a length of 6 cm representing an actual length of 30 m. What is the scale factor of the drawing?

Accepted Answer

1:500

Answer

1:50

Answer

1:50,000

Answer

1:5,000

Question 30

A bag of sweets contains sweets in a ratio of 2:3:4 for red, green, and blue sweets respectively. If there are 45 blue sweets, how many red sweets are there?

Accepted Answer

18

Answer

30

Answer

12

Answer

24

Question 31

A company employs 60 workers. The ratio of male to female workers is 3:2. How many more male workers are there than female workers?

Accepted Answer

15

Answer

25

Answer

10

Answer

20

Question 32

A map has a scale of 2 cm to 5 km. If the distance between two cities on the map is 8 cm, what is the actual distance between the cities?

Accepted Answer

20 km

Answer

40 km

Answer

30 km

Answer

10 km