Ratios and Rates

Question 1

What is a ratio?

Answer 1

A ratio is a comparison of two quantities by division.

Question 2

What does it mean if a ratio is expressed as 3:2?

Answer 2

It means for every 3 units of the first quantity, there are 2 units of the second quantity.

Question 3

True or False: A ratio can only compare two quantities.

Answer 3

True.

Question 4

If the ratio of cats to dogs is 4:5, how many cats are there if there are 20 dogs?

Answer 4

16 cats.

Question 5

What is the unit rate?

Answer 5

The unit rate is a comparison of two different quantities when they are combined into one unit.

Question 6

If a car travels 300 miles in 5 hours, what is the rate in miles per hour?

Answer 6

60 miles per hour.

Question 7

Fill in the blank: The ratio of boys to girls in a class is 3:4. If there are 12 boys, there are _____ girls.

Answer 7

16 girls.

Question 8

What does it mean for two ratios to be equivalent?

Answer 8

It means they represent the same relationship between quantities.

Question 9

If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

Answer 9

2:3.

Question 10

True or False: A rate is a specific kind of ratio that compares quantities with different units.

Answer 10

True.

Question 11

If a person earns $240 for 30 hours of work, what is their hourly wage?

Answer 11

$8 per hour.

Question 12

What is the first step in solving a ratio problem?

Answer 12

Identify the quantities being compared.

Question 13

If there are 15 apples and 10 oranges, what is the ratio of apples to oranges in simplest form?

Answer 13

3:2.

Question 14

Fill in the blank: A speed of 50 miles per hour can be expressed as _____ miles in 2 hours.

Answer 14

100 miles.

Question 15

What is a proportion?

Answer 15

A proportion is an equation that states that two ratios are equal.

Question 16

If a car travels 150 miles using 5 gallons of gas, what is the car’s fuel efficiency in miles per gallon?

Answer 16

30 miles per gallon.

Question 17

True or False: The ratio 1:4 is equivalent to the ratio 2:8.

Answer 17

True.

Question 18

If a school has a ratio of 12 teachers to 300 students, what is the ratio of students to teachers?

Answer 18

25:1.

Question 19

What is the formula to find a unit rate?

Answer 19

Divide the first quantity by the second quantity.

Question 20

If a bicycle travels 45 miles in 3 hours, what is the average speed?

Answer 20

15 miles per hour.

Question 21

Fill in the blank: In a recipe, the ratio of water to rice is 2:1. If you use 4 cups of water, you need _____ cups of rice.

Answer 21

2 cups.

Question 22

If a painting is 30 inches wide and 45 inches tall, what is the ratio of width to height?

Answer 22

2:3.

Question 23

True or False: A ratio can be expressed as a fraction.

Answer 23

True.

Question 24

If a recipe calls for 5 cups of flour for every 2 cups of sugar, what is the ratio of sugar to flour?

Answer 24

2:5.

Question 25

If there are 40 students in a class and the ratio of boys to girls is 3:2, how many boys are there?

Answer 25

24 boys.

Question 26

What is the relationship between ratios and fractions?

Answer 26

Ratios can be expressed as fractions.

Question 27

If a train travels 120 miles in 2 hours, what is its speed in miles per hour?

Answer 27

60 miles per hour.

Question 28

Fill in the blank: The ratio of red marbles to blue marbles is 5:3. If there are 15 red marbles, there are _____ blue marbles.

Answer 28

9 blue marbles.

Question 29

What is the cross-multiplication method used for?

Answer 29

To determine if two ratios are equivalent.

Question 30

If a car drives 180 miles in 3 hours, what is the average speed?

Answer 30

60 miles per hour.

Question 31

True or False: The ratio 4:5 is equivalent to 8:10.

Answer 31

True.

Question 32

If a recipe has a ratio of 1:4 for salt to flour, how much salt is needed for 12 cups of flour?

Answer 32

3 cups of salt.

Question 33

If a school has a ratio of 2 football players to 3 basketball players, what is the ratio of basketball players to football players?

Answer 33

3:2.

Question 34

Fill in the blank: The ratio of hours to minutes is _____ to 60.

Answer 34

1.

Question 35

What is the simplest form of the ratio 10:15?

Answer 35

2:3.

Question 36

If the ratio of pencils to pens is 7:3, how many pens are there if there are 21 pencils?

Answer 36

9 pens.

Question 37

What is an example of a rate?

Answer 37

Speed, such as miles per hour.

Question 38

True or False: A ratio can be written as a decimal.

Answer 38

True.

Question 39

What does it mean if the ratio of two quantities is 1:1?

Answer 39

It means the quantities are equal.

Question 40

If a store sells 3 apples for $2, what is the cost of 1 apple?

Answer 40

$0.67.

Question 41

Fill in the blank: The ratio of 8 to 12 can be simplified to _____ to 3.

Answer 41

2.

Question 42

If a car can travel 240 miles on 8 gallons of gas, what is its fuel efficiency?

Answer 42

30 miles per gallon.

Question 43

If a recipe requires 4 cups of flour for every 2 cups of sugar, how much sugar is needed for 10 cups of flour?

Answer 43

5 cups of sugar.

Question 44

What is the ratio of the sides of a rectangle that is 8 cm wide and 12 cm long?

Answer 44

2:3.

Question 45

True or False: A unit rate can be greater than one.

Answer 45

True.

Question 46

If a recipe calls for 6 parts water to 1 part vinegar, how much vinegar is needed for 12 parts water?

Answer 46

2 parts vinegar.

Question 47

What is the ratio of 50 to 100 in simplest form?

Answer 47

1:2.

Question 48

If a class has a ratio of 5 girls to 7 boys, how many girls are there if there are 21 boys?

Answer 48

15 girls.

Question 49

Fill in the blank: The ratio of 9 to 12 can be simplified to _____ to 4.

Answer 49

3.

Question 50

If a car drives 300 miles on 10 gallons of gas, what is the fuel efficiency?

Answer 50

30 miles per gallon.

Question 51

If a recipe requires a ratio of 1:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Answer 51

3 cups of sugar.

Question 52

What is the ratio of 15 to 45 in simplest form?

Answer 52

1:3.

Question 53

True or False: The ratio of 4 to 8 is equivalent to the ratio of 1 to 2.

Answer 53

True.

Question 54

If there are 60 students in a class and the ratio of boys to girls is 2:3, how many boys are there?

Answer 54

24 boys.

Question 55

If a car travels 200 miles in 4 hours, what is its speed in miles per hour?

Answer 55

50 miles per hour.

Question 56

Fill in the blank: The ratio of 10 to 25 can be simplified to _____ to 5.

Answer 56

2.

Question 57

If a recipe calls for a ratio of 3:1 for flour to sugar, how much sugar is needed if you use 9 cups of flour?

Answer 57

3 cups of sugar.

Question 58

If the ratio of cats to dogs is 5:2, how many dogs are there if there are 25 cats?

Answer 58

10 dogs.

Question 59

True or False: The ratio 6:9 can be simplified to 2:3.

Answer 59

True.

Question 60

What is the unit rate of 120 miles in 2 hours?

Answer 60

60 miles per hour.

Question 61

If a recipe has a ratio of 1:5 for salt to water, how much salt is needed for 25 cups of water?

Answer 61

5 cups of salt.

Question 62

Fill in the blank: The ratio of 7 to 14 can be simplified to _____ to 1.

Answer 62

1.

Question 63

If a car can travel 180 miles on 6 gallons of gas, what is its fuel efficiency?

Answer 63

30 miles per gallon.

Question 64

If the ratio of boys to girls in a class is 4:5 and there are 20 boys, how many girls are there?

Answer 64

25 girls.

Question 65

What is the equivalent ratio of 3:4 if both sides are multiplied by 2?

Answer 65

6:8.

Question 66

If a car travels 300 miles in 5 hours, what is its average speed?

Answer 66

60 miles per hour.

Question 67

True or False: A ratio can be written as a percentage.

Answer 67

True.

Question 68

If a recipe calls for 2 cups of flour for every 1 cup of sugar, what is the ratio of sugar to flour?

Answer 68

1:2.

Question 69

If the ratio of red to blue marbles is 2:3, how many blue marbles are there if there are 10 red marbles?

Answer 69

15 blue marbles.

Question 70

Fill in the blank: The ratio of 12 to 16 can be simplified to _____ to 4.

Answer 70

3.

Question 71

If a car can drive 360 miles on 12 gallons of gas, what is its fuel efficiency?

Answer 71

30 miles per gallon.

Question 72

If a class has a ratio of 3 boys to 2 girls and there are 15 boys, how many girls are there?

Answer 72

10 girls.

Question 73

What is the simplest form of the ratio 18:24?

Answer 73

3:4.

Question 74

True or False: The ratio of 4:6 is equivalent to 2:3.

Answer 74

True.

Question 75

If a recipe requires a ratio of 1:4 for oil to vinegar, how much oil is needed for 12 cups of vinegar?

Answer 75

3 cups of oil.

Question 76

If the ratio of students to teachers is 20:1, how many teachers are there if there are 100 students?

Answer 76

5 teachers.

Question 77

Fill in the blank: The ratio of 8:12 can be simplified to _____:3.

Answer 77

2.

Question 78

If a car travels 240 miles in 4 hours, what is its average speed?

Answer 78

60 miles per hour.

Question 79

If a recipe has a ratio of 4:5 for flour to sugar, how much flour is needed for 20 cups of sugar?

Answer 79

16 cups of flour.

Question 80

What is the ratio of 14 to 28 in simplest form?

Answer 80

1:2.

Question 81

True or False: The ratio 15:20 is equivalent to 3:4.

Answer 81

True.

Question 82

If a car can travel 150 miles on 5 gallons of gas, what is its fuel efficiency?

Answer 82

30 miles per gallon.

Question 83

If a recipe calls for a ratio of 1:3 for sugar to flour, how much sugar is needed if you use 6 cups of flour?

Answer 83

2 cups of sugar.

Question 84

Fill in the blank: The ratio of 5 to 15 can be simplified to _____ to 3.

Answer 84

1.

Question 85

If a school has a ratio of 3 teachers to 12 students, what is the ratio of students to teachers?

Answer 85

4:1.

Question 86

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Answer 86

60 miles per hour.

Question 87

What is the ratio of 2:5 in terms of percentage?

Answer 87

40%.

Question 88

True or False: A ratio can be expressed in different forms such as fractions and decimals.

Answer 88

True.