Ratios and Proportions: Master the Basics with Interactive Quizzes

Question 1

Which shape is NOT a quadrilateral?

Accepted Answer

Triangle

Answer

Square

Answer

Rectangle

Answer

Trapezoid

Question 2

Which shape has the largest area?

Accepted Answer

A square with sides of 4 centimeters

Answer

A rectangle with a length of 5 centimeters and a width of 3 centimeters

Answer

A triangle with a base of 6 centimeters and a height of 4 centimeters

Answer

A circle with a radius of 3 centimeters

Question 3

Find the area of a square with a side length of 5 centimeters.

Accepted Answer

25 cm^2

Answer

10 cm^2

Answer

50 cm^2

Answer

100 cm^2

Question 4

Which shape has five sides that are all the same length?

Accepted Answer

Pentagon

Answer

Square

Answer

Triangle

Answer

Rectangle

Question 5

Find the area of a triangle with a base of 10 centimeters and a height of 8 centimeters.

Accepted Answer

40 square centimeters

Answer

20 square centimeters

Answer

80 square centimeters

Question 6

In geometry, which term refers to figures that have the exact same shape and size?

Accepted Answer

Congruence

Answer

Similarity

Answer

Parallel

Answer

Symmetrical

Question 7

In a parallelogram, what measurement represents the height?

Accepted Answer

Perpendicular distance between the base and the opposite side

Answer

Length of the longest side

Answer

Sum of all four side lengths

Question 8

In a right triangle, how do you calculate the length of the hypotenuse using the Pythagorean Theorem?

Accepted Answer

Add the squares of the lengths of the other two sides and then find the square root of the result.

Answer

Subtract the squares of the other two sides from the square of the hypotenuse.

Answer

Divide the square of the length of the hypotenuse by the sum of the squares of the lengths of the other two sides.

Answer

Multiply the lengths of the other two sides and then find the square of the result.

Question 9

Which of the following ratios is equivalent to 3 : 5?

Accepted Answer

3 : 5

Answer

1 : 2

Answer

2 : 3

Answer

5 : 3

Question 10

A chocolate chip cookie recipe requires 2 cups of flour for every 1 cup of sugar. If you want to make a double batch of cookies, how many cups of flour will you need?

Accepted Answer

4 cups

Answer

1 cup

Answer

2 cups

Answer

3 cups

Question 11

A scale model of a building has a ratio of 1 : 50. If the actual height of the building is 125 feet, what is the height of the scale model?

Accepted Answer

2.5 feet

Answer

5 feet

Answer

10 feet

Answer

25 feet

Question 12

The population of a city is 300,000 people. If the ratio of males to females in the city is 3 : 2, how many males live in the city?

Accepted Answer

180,000

Answer

120,000

Answer

150,000

Answer

210,000

Question 13

You're creating a scale model of a rectangular garden that's 10 meters long and 5 meters wide. If you use a scale factor of 1:5, what will be the length and width of the scale model?

Accepted Answer

Length: 2 meters, Width: 1 meter

Answer

Length: 5 meters, Width: 2.5 meters

Answer

Length: 10 meters, Width: 5 meters

Answer

Length: 1 meter, Width: 0.5 meters

Question 14

Find the ratio that is equivalent to 3:4.

Accepted Answer

6:8

Answer

5:6

Answer

2:3

Answer

1:2

Question 15

A company divides its monthly revenue of $24,000 among three employees in the ratio 3:4:5. What is the amount received by the employee who gets the smallest share?

Accepted Answer

$6,000

Answer

$8,000

Answer

$10,000

Question 16

If a recipe calls for a ratio of 1 cup of flour to 2 cups of water, how much water is needed if we want to use 3 cups of flour?

Accepted Answer

6 cups

Answer

1 cup

Answer

2 cups

Answer

3 cups

Question 17

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

Accepted Answer

60 mph

Answer

40 mph

Answer

80 mph

Answer

100 mph

Question 18

A store offers a 20% discount on all items. If a shirt originally costs $25, what is the sale price of the shirt?

Accepted Answer

$18

Answer

$20

Answer

$22

Answer

$24

Question 19

What is the ratio of apples to oranges if there are 3 apples and 2 oranges?

Accepted Answer

3:2

Answer

2:3

Answer

6:5

Answer

5:6

Question 20

A company is making a new product that is 20% smaller than the original product. If the original product has a volume of 120 cubic centimeters, what will be the volume of the new product?

Accepted Answer

96 cubic centimeters

Answer

108 cubic centimeters

Answer

120 cubic centimeters

Answer

144 cubic centimeters

Question 21

A map has a scale of 1 cm : 20 km. If the distance between two cities on the map is 5 cm, what is the actual distance between the cities?

Accepted Answer

100 km

Answer

5 km

Answer

10 km

Answer

200 km

Question 22

Which of the following ratios represents a unit rate?

Accepted Answer

10:5

Answer

2:3

Answer

3:4

Answer

5:2

Question 23

A rectangular garden is 120 square meters. If the length is 'x' meters and the width is 'y' meters, which equation shows the relationship between the length and width?

Accepted Answer

x * y = 120

Answer

x + y = 120

Answer

x - y = 120

Question 24

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

Accepted Answer

0.5

Answer

0.25

Answer

1

Answer

2

Question 25

Which of these ratios is NOT equivalent to 3:5?

Accepted Answer

12:15

Answer

6:10

Answer

9:15

Answer

15:25

Question 26

A scale model of a car is 1:18 scale. If the actual car is 12 feet long, how long is the scale model?

Accepted Answer

6.67 feet

Answer

8 feet

Answer

10 feet

Answer

12 feet

Question 27

Simplify the ratio 18:24:

Accepted Answer

3:4

Answer

6:8

Answer

9:12

Answer

12:16

Question 28

A map shows a distance of 12 inches between two cities. If the actual distance is 180 miles, what is the scale of the map?

Accepted Answer

1:18

Answer

1:15

Answer

1:20

Answer

1:22

Question 29

A car travels 240 miles in 4 hours. What is the car's average speed?

Accepted Answer

50 mph

Answer

45 mph

Answer

60 mph

Answer

75 mph

Question 30

What is a proportion?

Accepted Answer

An equation that shows two ratios are equal

Answer

An equation that shows the sum of two numbers is equal

Answer

An equation that shows the difference of two numbers is equal

Answer

An equation that shows the product of two numbers is equal

Question 31

What is a unit rate?

Accepted Answer

A rate that compares two different quantities of the same unit

Answer

A rate that compares two different units

Answer

A rate that compares two different quantities of different units

Answer

A rate that compares two different rates

Question 32

Which of the following is NOT a skill that is developed in this unit?

Accepted Answer

Solving algebraic expressions

Answer

Finding equivalent ratios

Answer

Solving proportions

Answer

Converting units

Question 33

A baking recipe requires 2 cups of flour for every 1 cup of sugar. What is the ratio of flour to sugar in the recipe?

Accepted Answer

2:1

Answer

2:3

Answer

1:2

Answer

3:2

Question 34

Which of the following is NOT a proportion?

Accepted Answer

3:4 ≠ 6:9

Answer

1:2 = 2:4

Answer

4:6 = 8:12

Answer

5:10 = 1:2

Question 35

Which of the following is an equivalent ratio to 3:5?

Accepted Answer

9:15

Answer

3:4

Answer

5:3

Answer

15:3

Question 36

Which of the following is NOT a ratio?

Accepted Answer

20%

Answer

3:2

Answer

12 to 8

Answer

4/5

Question 37

Which of the following ratios is in its simplest form?

Accepted Answer

3:4

Answer

9:12

Answer

6:8

Answer

12:16

Question 38

Which of the following ratios is in its simplest form?

Accepted Answer

2:3

Answer

6:9

Answer

8:12

Answer

4:6

Question 39

Which of these is the correct definition of a proportion?

Accepted Answer

a/b = c/d

Answer

a + b = c + d

Answer

a > b = c > d

Answer

a - b = c - d

Question 40

A map has a scale of 1:20000. If 5 cm on the map represents a distance, what is that distance on the ground?

Accepted Answer

1 km

Answer

1000 m

Answer

500 m

Question 41

Which of these is an example of a proportional relationship?

Accepted Answer

Distance travelled is proportional to time travelled at a constant speed.

Answer

The number of apples is proportional to the number of trees.

Answer

The height of a person is proportional to their age.

Question 42

Which of the following is a proportion: two expressions that are equal to each other and contain a colon between the numerator and denominator?

Accepted Answer

2:3 = 4:6

Answer

1/3 < 1/4

Answer

1/2 = 2/4

Answer

3/4 > 2/3

Question 43

Which ratio is equivalent to 3:4?

Accepted Answer

6:8

Answer

2:3

Answer

5:6

Answer

4:5

Question 44

A map has a scale of 1 cm : 2 km. What is the actual distance represented by 5 cm on the map?

Accepted Answer

10 km

Answer

20 km

Answer

5 km

Answer

25 km

Question 45

Simplify the ratio 12:18 to its simplest form.

Accepted Answer

2:3

Answer

6:9

Answer

4:6

Answer

8:12

Question 46

Which of the following describes the inverse of a ratio?

Accepted Answer

The inverse of a ratio is found by switching the numerator and the denominator.

Answer

The inverse of a ratio is the same as the original ratio.

Answer

The inverse of a ratio is found by multiplying the numerator and the denominator by the same number.

Answer

The inverse of a ratio is found by dividing the numerator by the denominator.

Question 47

Which of the following is a proportion?

Accepted Answer

3/4 = 6/8

Answer

2 + 3 = 5

Answer

x - 2

Answer

10 > 5

Question 48

Which of the following is a cross proportion?

Accepted Answer

a/b = c/d

Answer

a/b > c/d

Answer

a - b = c - d

Answer

a + b = c + d

Question 49

A recipe requires 2 cups of flour to 1 cup of milk. If you want to make a triple batch of this recipe, how much flour will you need?

Accepted Answer

6 cups

Answer

4 cups

Answer

2 cups

Question 50

Solve the proportion for x: 6/x = 3/4

Accepted Answer

8

Answer

6

Answer

12

Answer

16

Question 51

A map has a scale of 1 inch to 10 miles. What is the distance on the map for a real-world distance of 50 miles?

Accepted Answer

5 inches

Answer

100 inches

Answer

10 inches

Answer

50 inches

Question 52

A recipe requires 1 cup of butter to 2 cups of sugar. If you have only 1/4 cup of sugar, how much butter should you use?

Accepted Answer

1/8 cup

Answer

1 cup

Answer

1/2 cup

Question 53

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

Accepted Answer

60 mph

Answer

90 mph

Answer

30 mph

Question 54

If a recipe calls for 2 cups of flour to make 12 cookies, how many cups of flour are needed to make 24 cookies?

Accepted Answer

4 cups

Answer

3 cups

Answer

5 cups

Answer

6 cups

Question 55

What is the simplified ratio of 15 centimeters to 25 meters?

Accepted Answer

3:5

Answer

3:4

Answer

2:3

Question 56

What is the scale factor of a map that shows a distance of 5 km as 10 cm?

Accepted Answer

1:50000

Answer

1:250000

Answer

1:100000

Answer

1:500000

Question 57

If the area of a rectangle is 24 square inches and the width is 6 inches, what is the length?

Accepted Answer

4 inches

Answer

6 inches

Answer

3 inches

Answer

5 inches

Question 58

A recipe for lemonade calls for 3 cups of lemon juice for every 4 cups of water. What is the ratio of lemon juice to water?

Accepted Answer

3:4

Answer

4/3

Answer

4:3

Answer

3/4

Question 59

In a classroom, there are 12 boys and 16 girls. What is the simplified ratio of girls to the total number of students?

Accepted Answer

4:7

Answer

4:3

Answer

16:28

Answer

3:4

Question 60

Which of these ratios is equal to 2:5?

Accepted Answer

10:25

Answer

8:15

Answer

6:10

Answer

4:15

Question 61

A map uses a scale where 1 inch represents 10 miles.  If the distance between two cities on the map is 3.5 inches, what is the actual distance between them?

Accepted Answer

35 miles

Answer

28.5 miles

Answer

40 miles

Answer

13.5 miles

Question 62

If 5 apples cost $2.00, how much would 12 apples cost at the same price?

Accepted Answer

$4.80

Answer

$3.50

Answer

$6.00

Answer

$10.00

Question 63

A car travels 120 miles using 4 gallons of gasoline. How many miles can the car travel using 7 gallons of gasoline?

Accepted Answer

210 miles

Answer

180 miles

Answer

280 miles

Answer

240 miles

Question 64

A rectangle is 12 cm long and 8 cm wide. What is the ratio of the width to the perimeter of the rectangle?

Accepted Answer

2:5

Answer

8:40

Answer

3:5

Answer

2:3