Ratios and Proportions: Interactive Quizzes and Practice Questions

Question 1

An architect's blueprint uses a scale of 1:100. The blueprint shows that a room is 12 centimeters long and 8 centimeters wide. What are the actual dimensions of the room?

Accepted Answer

1.2 meters x 0.8 meters

Answer

12 meters x 80 meters

Answer

120 centimeters x 80 centimeters

Answer

1.2 meters x 8 centimeters

Question 2

In a class of 20 students, 12 are girls. What is the ratio of girls to boys in the class?

Accepted Answer

12:8

Answer

8:12

Answer

12:20

Question 3

A store offers a 10% discount on apples, which cost $1.00 per pound. How much will you save if you buy 5 pounds of apples?

Accepted Answer

50 cents

Answer

$1.00

Answer

$2.00

Answer

$5.00

Question 4

A ratio is a comparison of two quantities.

Accepted Answer

True

Answer

False

Question 5

A car travels 300 miles in 6 hours. What is the average speed of the car?

Accepted Answer

50 mph

Answer

20 mph

Answer

80 mph

Answer

100 mph

Question 6

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

Accepted Answer

9 cups

Answer

2 cups

Answer

3 cups

Answer

6 cups

Question 7

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

Accepted Answer

6

Answer

2

Answer

3

Answer

4

Question 8

Which of the following is NOT a proportion?

Accepted Answer

1:2 is not equal to 3:6

Answer

2/3 = 4/6

Answer

3:5 = 9:15

Answer

10/12 = 5/6

Question 9

What is the constant of proportionality for the following equation: y = 2x?

Accepted Answer

2

Answer

0.5

Answer

1

Answer

4

Question 10

Find the constant of proportionality for the proportional relationship y = 4x.

Accepted Answer

4

Answer

1

Answer

2

Answer

8

Question 11

A store sells oranges in a 2:3 ratio of navel to blood oranges. If there are 18 navel oranges, how many blood oranges are there?

Accepted Answer

12

Answer

9

Answer

27

Answer

36

Question 12

Which of the following statements about proportions is true?

Accepted Answer

The cross products of a proportion are equal.

Answer

The sum of the numerators is equal to the sum of the denominators.

Answer

The difference of the numerators is equal to the difference of the denominators.

Answer

The ratio of the numerators is equal to the ratio of the denominators.

Question 13

A rectangular garden measures 10 feet long and 6 feet wide. What's the ratio of its perimeter to its area?

Accepted Answer

8:15

Answer

1:10

Answer

1:6

Question 14

In a class, the ratio of boys to girls is 3:2. If there are 24 students in total, how many boys and how many girls are in the class?

Accepted Answer

12 boys, 8 girls

Answer

8 boys, 12 girls

Answer

10 boys, 14 girls

Question 15

Which of the following is not a proportion?

Accepted Answer

5/8 ≠ 10/16

Answer

1:2 = 3:6

Answer

2/3 = 4/6

Answer

10:15 = 20:30

Question 16

Which of the following is NOT a method commonly used to solve proportions?

Accepted Answer

Guess and check

Answer

Cross-multiplication

Answer

Equivalent fractions

Answer

Inverse operations

Question 17

In the equation y = 3x, what is the constant of proportionality?

Accepted Answer

3

Answer

1

Answer

5

Answer

9

Question 18

A hiker is planning a 10-mile hike in 3 hours. They've already walked 4 miles at 2.5 miles per hour. What average speed do they need for the remaining distance?

Accepted Answer

3.33 mph

Answer

2.5 mph

Answer

4 mph

Question 19

A recipe calls for 3 cups of flour to make 24 cookies. How many cups of flour are needed to make 48 cookies?

Accepted Answer

6 cups

Answer

2 cups

Answer

4 cups

Answer

8 cups

Question 20

Which of the following is NOT a use of ratios?

Accepted Answer

Predicting probabilities

Answer

Comparing quantities

Answer

Scaling recipes

Answer

Mixing paints

Question 21

What is the best definition of a ratio?

Accepted Answer

A comparison of two or more quantities using division

Answer

A fraction with two equal numerators

Answer

A proportion with a common denominator

Answer

A percentage greater than 100

Question 22

Which of the following ratios represents a unit rate?

Accepted Answer

miles per hour

Answer

gallons per mile

Answer

students per classroom

Answer

dollars per pound

Question 23

Which of the following is a proportional relationship?

Accepted Answer

y = 2x

Answer

y = 1/x

Answer

y = x^2

Answer

y = x + 1

Question 24

The graph of a proportional relationship looks like:

Accepted Answer

A straight line

Answer

A parabola

Answer

A curve

Answer

A circle

Question 25

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

Accepted Answer

1.5 cups

Answer

2 cups

Answer

4.5 cups

Answer

3 cups

Question 26

If a car travels 180 miles in 3 hours, what is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

80 mph

Answer

40 mph

Answer

100 mph

Question 27

Which of the following is a proportion?

Accepted Answer

x/2 = 6/12

Answer

x - 2 = 6 - 12

Answer

x + 2 = 6 + 12

Answer

x * 2 = 6 * 12

Question 28

If the ratio of boys to girls in a theater is 2:3, and there are 12 boys in the theater, how many girls are there?

Accepted Answer

18 girls

Answer

6 girls

Answer

36 girls

Answer

24 girls

Question 29

Which of the following is a proportional relationship?

Accepted Answer

y = 3x

Answer

y = 1/x

Answer

y = x + 2

Answer

y = x^2

Question 30

Which of the following is a real-world application of ratios and proportions?

Accepted Answer

Scaling a recipe

Answer

Calculating the probability of an event

Answer

Finding the area of a circle

Answer

Solving quadratic equations

Question 31

Which equation represents a proportional relationship?

Accepted Answer

y = 2x

Answer

y = x^2

Answer

y = 1/x

Question 32

Which of the following is the definition of a proportion?

Accepted Answer

a/b = c/d

Answer

a - b = c - d

Answer

a + b = c + d

Question 33

A store is selling a shirt for $20. If the store is offering a 20% discount, what is the sale price of the shirt?

Accepted Answer

$16

Answer

$18

Answer

$22

Answer

$24

Question 34

A store is selling a pack of 6 pencils for $1. If the store sells 3 packs of pencils, how much money will they make?

Accepted Answer

$3

Answer

$1

Answer

$5

Question 35

A fruit vendor sells apples and bananas in a ratio of 3 apples to 5 bananas. If the vendor has 60 bananas, how many apples does the vendor have?

Accepted Answer

36

Answer

54

Answer

18

Answer

45

Question 36

Which of the following ratios is equivalent to 2:5?

Accepted Answer

4:10

Answer

1:2

Answer

3:6

Answer

5:10

Question 37

Solve the proportion: x/4 = 6/8

Accepted Answer

x = 3

Answer

x = 8

Answer

x = 4

Answer

x = 6

Question 38

A recipe requires 2 cups of flour for every 3 cups of sugar. How much sugar is needed if you use 6 cups of flour?

Accepted Answer

9 cups

Answer

12 cups

Answer

6 cups

Answer

18 cups

Question 39

If y varies directly as x, and y = 15 when x = 5, find the constant of variation.

Accepted Answer

3

Answer

5

Answer

15

Answer

10

Question 40

A scale drawing of a house is 1:200. If the length of the house in the drawing is 12 cm, what is the actual length of the house?

Accepted Answer

24 meters

Answer

3 meters

Answer

12 meters

Answer

6 meters

Question 41

Which of the following graphs represents a proportional relationship?

Accepted Answer

A line passing through the origin

Answer

A circle

Answer

A parabola

Answer

A hyperbola

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

28

Question 43

Which of the following is a rate?

Accepted Answer

miles per hour

Answer

volume

Answer

mass

Answer

area

Question 44

A recipe for lemonade requires 2 cups of water for every 3 cups of lemon juice. What is the ratio of water to lemon juice?

Accepted Answer

2:3

Answer

2:1

Answer

3:2

Answer

1:2

Question 45

Which of the following ratios is equivalent to 2:3?

Accepted Answer

4:6

Answer

5:4

Answer

1:2

Answer

6:7

Question 46

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 47

If 3 apples cost $1.50, how much would 9 apples cost?

Accepted Answer

$4.50

Answer

$10.00

Answer

$3.00

Answer

$7.50

Question 48

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

Accepted Answer

12

Answer

9

Answer

6

Answer

27

Question 49

A map has a scale of 1 inch to 10 miles. If two cities are 5 inches apart on the map, what is the actual distance between them?

Accepted Answer

50 miles

Answer

100 miles

Answer

10 miles

Answer

25 miles

Question 50

A recipe for cookies calls for 2 cups of flour to 1 cup of sugar. If you want to make half the recipe, how much sugar will you need?

Accepted Answer

0.5 cups

Answer

4 cups

Answer

0.25 cups

Answer

2 cups

Question 51

Which of the following represents a proportional relationship?

Accepted Answer

y = 2x

Answer

y = x^2

Answer

y = x + 2

Question 52

A recipe for lemonade calls for 3 cups of water for every 2 cups of lemon juice. How many cups of water are needed for 8 cups of lemon juice?

Accepted Answer

12

Answer

16

Answer

5

Answer

10

Question 53

Which of the following ratios is equivalent to the ratio 5:8?

Accepted Answer

15:24

Answer

20:25

Answer

10:12

Answer

30:40

Question 54

A map has a scale of 1 inch representing 20 miles. If two cities are 3.5 inches apart on the map, what is the actual distance between them?

Accepted Answer

70 miles

Answer

50 miles

Answer

35 miles

Question 55

A store sells 3 pens for $2.40. At this rate, how much will 7 pens cost?

Accepted Answer

$5.60

Answer

$4.80

Answer

$8.40

Answer

$7.20

Question 56

Two quantities, x and y, are directly proportional. If x = 6 when y = 10, what is the value of y when x = 9?

Accepted Answer

15

Answer

12

Answer

5.4

Answer

20

Question 57

A car travels 180 miles in 3 hours. At this rate, how many miles will it travel in 5 hours?

Accepted Answer

300 miles

Answer

360 miles

Answer

450 miles

Answer

240 miles

Question 58

Which of the following situations represents a proportional relationship?

Accepted Answer

The cost of apples is $2 per pound.

Answer

The temperature increases by 5 degrees every hour.

Answer

The number of bacteria doubles every 30 minutes.

Answer

A car's value depreciates by $1000 each year.

Question 59

The ratio of boys to girls in a class is 4:5. If there are 12 boys in the class, how many students are there in total?

Accepted Answer

27

Answer

21

Answer

15

Answer

9

Question 60

A rectangle has a length of 12 cm and a width of 8 cm. What is the ratio of its width to its perimeter?

Accepted Answer

1:5

Answer

3:5

Answer

4:5

Answer

2:5

Question 61

If it takes 6 workers 4 hours to complete a task, how long will it take 8 workers to complete the same task at the same rate?

Accepted Answer

3 hours

Answer

6 hours

Answer

2 hours

Answer

4 hours