Ratios

Question 1

What is a ratio?

Answer 1

A ratio is a comparison between two quantities, showing how many times one value contains or is contained within the other.

Question 2

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

Answer 2

True

Question 3

If a recipe calls for a ratio of 3:2 of flour to sugar, how much flour is needed for 10 cups of sugar?

Answer 3

15 cups of flour

Question 4

What is the simplest form of the ratio 8:12?

Answer 4

2:3

Question 5

Fill in the blank: The ratio of boys to girls in a class is 5:7. If there are 35 girls, there are _____ boys.

Answer 5

25 boys

Question 6

What is the method to simplify ratios?

Answer 6

Divide both parts of the ratio by their greatest common divisor (GCD).

Question 7

Multiple Choice: Which of the following ratios is equivalent to 1:4? A) 2:8 B) 3:12 C) 5:20 D) All of the above

Answer 7

D) All of the above

Question 8

How do you express the ratio of 15 to 5 in simplest form?

Answer 8

3:1

Question 9

True or False: The order of numbers in a ratio matters.

Answer 9

True

Question 10

If a car travels 60 miles in 1 hour, what is the ratio of distance to time?

Answer 10

60 miles:1 hour

Question 11

What is a part-to-part ratio?

Answer 11

A part-to-part ratio compares different parts of a whole to each other.

Question 12

Fill in the blank: In the ratio 4:9, the first number is _____ than the second number.

Answer 12

smaller

Question 13

What does a ratio of 1:1 signify?

Answer 13

It signifies that both quantities are equal.

Question 14

Multiple Choice: If the ratio of cats to dogs is 2:3, what is the total number of parts? A) 5 B) 6 C) 7 D) 8

Answer 14

A) 5

Question 15

How do you convert a ratio into a fraction?

Answer 15

By writing the first number as the numerator and the second number as the denominator.

Question 16

True or False: Ratios can only be expressed in whole numbers.

Answer 16

False

Question 17

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

Answer 17

1:2

Question 18

If the ratio of red balls to blue balls is 3:5 and there are 15 red balls, how many blue balls are there?

Answer 18

25 blue balls

Question 19

Fill in the blank: The ratio of 10 to 15 can also be expressed as _____:1.

Answer 19

2:3

Question 20

What is an example of a part-to-whole ratio?

Answer 20

The ratio of boys to total students in a class.

Question 21

Multiple Choice: Which ratio is larger? A) 4:5 B) 2:3 C) 3:4 D) 1:1

Answer 21

D) 1:1

Question 22

True or False: Ratios can be used in real-life situations.

Answer 22

True

Question 23

What is the ratio of 100 to 25 in simplest form?

Answer 23

4:1

Question 24

Fill in the blank: If the ratio of apples to oranges is 6:4, then there are _____ apples for every 2 oranges.

Answer 24

3 apples

Question 25

How can you compare two ratios?

Answer 25

By finding a common denominator or converting them to fractions.

Question 26

What is a ratio table?

Answer 26

A table that shows equivalent ratios in a structured format.

Question 27

Multiple Choice: If the ratio of students to teachers is 20:1, how many teachers are there if there are 100 students? A) 4 B) 5 C) 6 D) 2

Answer 27

B) 5

Question 28

What does it mean if a ratio is expressed as a decimal?

Answer 28

It indicates the proportion of one quantity to another in decimal form.

Question 29

If the ratio of pencils to pens is 7:3, what is the total number of items if there are 21 pencils?

Answer 29

30 items

Question 30

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

Answer 30

True

Question 31

What is the first step to solving a ratio word problem?

Answer 31

Identify the quantities being compared and their relationship.