Ratios and Proportions: Practice and Improve Your Skills

Question 1

A construction crew needs cement and sand to build a sidewalk. The ratio of sand to cement is 2:1. If they have 12 bags of sand, how many bags of cement will they need?

Accepted Answer

6

Answer

12

Answer

24

Answer

36

Question 2

Which type of proportion is represented by the equation y = 5x?

Accepted Answer

Direct proportion

Answer

Inverse proportion

Answer

No proportion

Answer

Equal proportion

Question 3

A construction company pays its workers based on the number of hours they work. If an employee earns $450 for working 30 hours, how much does the employee earn per hour?

Accepted Answer

$15 per hour

Answer

$5 per hour

Answer

$450 per hour

Question 4

A floor plan has a scale where 1 inch on the plan represents 5 feet in real life. If a room on the floor plan measures 3 inches, what is the actual length of the room in feet?

Accepted Answer

15 feet

Answer

5 feet

Answer

25 feet

Answer

35 feet

Question 5

Simplify the ratio 18:24 to its simplest form.

Accepted Answer

3:4

Answer

6:8

Answer

9:12

Answer

1:2

Question 6

A painting company charges a $50 initial fee plus $12 for each hour of work. If a customer pays $194 for painting services, how many hours did the painters work?

Accepted Answer

14 hours

Answer

12 hours

Answer

16 hours

Answer

18 hours

Question 7

Express the relationship between 3 apples and 5 oranges as a ratio.

Accepted Answer

3:5

Answer

5:3

Answer

3/5

Answer

5/3

Question 8

A recipe requires 2 cups of flour for every 3 eggs. If you only have 1 egg, how much flour do you need?

Accepted Answer

1/3 cup

Answer

2/3 cup

Answer

1 cup

Answer

3 cups

Question 9

Identify the proportion among the following:

Accepted Answer

2:3 = 4:6

Answer

2 + 3 = 4 + 6

Answer

2/3 > 4/6

Answer

2 - 3 = 4 - 6

Question 10

Which of the following is a valid cross product of the proportion 2/3 = 4/6?

Accepted Answer

8 = 12

Answer

12 = 8

Answer

6 = 4

Answer

4 = 6

Question 11

A car travels 25 miles in 1 hour. What is the car's speed in miles per hour?

Accepted Answer

25

Answer

10

Answer

15

Answer

50

Question 12

Which of the following is a proportion?

Accepted Answer

2/3 = 4/6

Answer

2 > 3

Answer

4 > 6

Answer

3:4 ≠ 6:8

Question 13

A map has a scale of 1 inch : 5 miles. How many miles are represented by 3 inches on the map?

Accepted Answer

15 miles

Answer

5 miles

Answer

10 miles

Answer

20 miles

Question 14

In the proportion 2/3 = x/9, what is the value of x?

Accepted Answer

6

Answer

2

Answer

3

Answer

9

Question 15

Which of the following is a true proportion?

Accepted Answer

3:4 = 6:8

Answer

3 + 4 = 6 + 8

Answer

3 - 4 = 6 - 8

Answer

3 x 4 = 6 x 8

Question 16

Which of the following expresses a comparison of two numbers using division (_a:b_)?

Accepted Answer

Ratio

Answer

Percent

Answer

Fraction

Answer

Decimal

Question 17

Which of the following is NOT a proportion?

Accepted Answer

2:4 = 4:8

Answer

1:2 = 2:3

Answer

3:4 = 6:8

Answer

4:5 = 8:9

Question 18

You have a cake recipe that requires 2 cups of flour and 3 cups of sugar. If you want to make a cake that is double the size of the original recipe, how many cups of flour and sugar will you need?

Accepted Answer

4 cups flour, 6 cups sugar

Answer

2 cups flour, 3 cups sugar

Answer

6 cups flour, 9 cups sugar

Answer

8 cups flour, 12 cups sugar

Question 19

Simplify the ratio 18:24 to its simplest form:

Accepted Answer

3:4

Answer

6:8

Answer

9:12

Question 20

Solve the proportion: 3 is to 5 as x is to 15

Accepted Answer

x = 9

Answer

x = 5

Answer

x = 3

Question 21

What is the ratio of apples to oranges if there are 3 apples and 5 oranges?

Accepted Answer

3:5

Answer

5:3

Answer

1:2

Answer

2:1

Question 22

A baker has a recipe that requires 2 cups of flour and 3 cups of sugar. They want to make a cake that is half the size of the original. How many cups of each ingredient will they need?

Accepted Answer

1 cup flour, 1.5 cups sugar

Answer

1.5 cups flour, 2.25 cups sugar

Answer

2 cups flour, 3 cups sugar

Answer

4 cups flour, 6 cups sugar

Question 23

Question:

A rectangular garden has a length of 10 feet and a width of 6 feet. What is the ratio of the garden's length to its width?

Accepted Answer

10:6

Answer

1:5

Answer

5:1

Answer

6:10

Question 24

Simplify the ratio 6:12 and express it in its simplest form.

Accepted Answer

1:2

Answer

2:1

Answer

1:4

Answer

3:6

Question 25

A recipe calls for 1 cup of sugar to 2 cups of flour. If you want to use 3 cups of flour, how much sugar will you need?

Accepted Answer

1.5 cups

Answer

1 cup

Answer

2 cups

Answer

3 cups

Question 26

Which of the following is a better deal: 16 ounces of cereal for $2.50 or 24 ounces of cereal for $3.00?

Accepted Answer

24 ounces

Answer

16 ounces

Answer

They are equal

Answer

Cannot be determined

Question 27

A blueprint shows that a house is 1 inch long and 1.5 inches wide. If the actual length of the house is 24 feet, what is its actual width?

Accepted Answer

18 feet

Answer

16 feet

Answer

20 feet

Answer

24 feet

Question 28

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

Accepted Answer

16

Answer

12

Answer

20

Answer

24

Question 29

A map has a scale of 1 inch to 10 miles. If the distance between two cities on the map is 3 inches, what is the actual distance between the cities?

Accepted Answer

30 miles

Answer

10 miles

Answer

50 miles

Answer

100 miles

Question 30

What is the definition of a ratio?

Accepted Answer

A comparison of two or more quantities using division

Answer

A fraction that represents a part of a whole

Answer

A proportion that shows two equal ratios

Answer

A percentage that represents a part of 100

Question 31

A blueprint shows a wall that is 3 inches long and is drawn to a scale of 1 inch to 5 feet. What is the actual length of the wall?

Accepted Answer

15 feet

Answer

1 foot

Answer

5 feet

Answer

3 feet

Question 32

Identify the option that is NOT a proportional relationship:

Accepted Answer

The number of pencils in a box and the number of students in a class

Answer

The number of miles driven and the amount of gas used

Answer

The height of a child and their age

Answer

The cost of a movie ticket and the number of people in the theater

Question 33

Which of the following represents the largest ratio?

Accepted Answer

3:5

Answer

2:3

Answer

1:2

Answer

1:3

Question 34

How can ratios be used to solve problems involving scale and proportion in maps and diagrams? Provide specific examples to illustrate your answer.

Accepted Answer

Ratios can be used to determine the actual distance on the ground represented by a certain distance on a map or diagram.

Answer

Ratios cannot be used to solve problems involving scale and proportion in maps and diagrams.

Answer

Ratios can only be used to compare quantities of the same type.

Answer

Ratios are only useful for solving simple problems.

Question 35

Which of the following is NOT a proportion?

Accepted Answer

3:5 = 6:10

Answer

2/3 = 4/6

Answer

3:4 = 6:8

Answer

2/5 = 4/10

Question 36

A hiking trail is 10 miles long. If you hike 3 miles in 1 hour, how long will it take you to hike the entire trail?

Accepted Answer

3.33 hours

Answer

3 hours

Answer

4 hours

Answer

5 hours

Question 37

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

Accepted Answer

60 mph

Answer

90 mph

Answer

30 mph

Answer

120 mph

Question 38

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

Accepted Answer

50 miles

Answer

100 miles

Answer

10 miles

Answer

500 miles

Question 39

A recipe calls for 1 cup of flour to make 12 cookies. If you want to make 24 cookies, how much flour will you need?

Accepted Answer

2 cups

Answer

1 cup

Answer

4 cups

Answer

3 cups

Question 40

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

Accepted Answer

1 cup

Answer

3 cups

Answer

4 cups

Answer

2 cups

Question 41

Which of the following is a proportion?

Accepted Answer

2/3 = 4/6

Answer

2 - 3 = 4 - 6

Answer

2 + 3 = 4 + 6

Answer

2 * 3 = 4 * 6

Question 42

Which of the following is NOT a real-world application of ratios?

Accepted Answer

Designing a garden without considering plant spacing

Answer

Mixing paint colors

Answer

Creating a scale drawing

Question 43

A map has a scale of 1 inch to 10 miles. What is the actual distance represented by 4 inches on the map?

Accepted Answer

40 miles

Answer

20 miles

Answer

10 miles

Answer

50 miles

Question 44

A recipe requires a ratio of 1 cup of flour to 2 cups of sugar. If you want to make a double batch of the recipe, how many cups of sugar will you need?

Accepted Answer

4 cups

Answer

2 cups

Answer

3 cups

Answer

1 cup

Question 45

A recipe uses a ratio of 2 cups of flour to 3 cups of sugar. If you want to make half a batch of the recipe, how much flour will you need?

Accepted Answer

1 cup

Answer

1.5 cups

Answer

0.5 cup

Answer

2 cups

Question 46

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

Accepted Answer

50 miles

Answer

10 miles

Answer

100 miles

Answer

25 miles

Question 47

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

Accepted Answer

60 miles per hour

Answer

90 miles per hour

Answer

30 miles per hour

Answer

240 miles per hour

Question 48

A recipe calls for 1/2 cup of sugar for every 1/4 cup of butter. If you use 1 cup of butter, how much sugar will you need?

Accepted Answer

2 cups

Answer

1/2 cup

Answer

1 cup

Answer

4 cups

Question 49

A store sells 3 apples for $2. How much would 9 apples cost?

Accepted Answer

$6

Answer

$3

Answer

$4

Answer

$9

Question 50

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

Accepted Answer

18

Answer

30

Answer

27

Answer

12

Question 51

A company is making a batch of cookies. They have 2 cups of flour, 1 cup of sugar, and 1/2 cup of butter. If they want to double the recipe, how much sugar will they need?

Accepted Answer

2 cups

Answer

3 cups

Answer

1 1/2 cups

Answer

1 cup