Ratios

Question 1

What is a ratio?

Answer 1

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

Question 2

Express the ratio 4:8 in its simplest form.

Answer 2

1:2

Question 3

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

Answer 3

False

Question 4

If the ratio of cats to dogs is 3:5, how many cats are there if there are 15 dogs?

Answer 4

9 cats

Question 5

What does the term ‘proportion’ mean in relation to ratios?

Answer 5

A proportion states that two ratios are equal.

Question 6

Fill in the blank: The ratio 5:15 can also be expressed as _____ when simplified.

Answer 6

1:3

Question 7

If a recipe requires a ratio of 2:3 for flour to sugar, how much flour is needed for 6 cups of sugar?

Answer 7

4 cups of flour

Question 8

What is the ratio of 10 to 25 expressed as a fraction?

Answer 8

2/5

Question 9

True or False: In a ratio, the order of the numbers matters.

Answer 9

True

Question 10

If a class has a ratio of boys to girls of 7:3, what fraction of the class are girls?

Answer 10

3/10

Question 11

What is the relationship between ratios and fractions?

Answer 11

Ratios can be expressed as fractions, indicating part-to-part relationships.

Question 12

What is the ratio of 12 to 16 in simplest form?

Answer 12

3:4

Question 13

If two quantities are in the ratio 4:9, what is the value of the first quantity if the second is 36?

Answer 13

16

Question 14

Fill in the blank: The ratio 1:4 means for every _____ of the first quantity, there are 4 of the second.

Answer 14

1

Question 15

What is the term for a ratio that compares a part to the whole?

Answer 15

Part-to-whole ratio

Question 16

If the ratio of red to blue marbles is 2:5, what is the total number of marbles if there are 20 blue marbles?

Answer 16

28 marbles

Question 17

True or False: Ratios can only involve whole numbers.

Answer 17

False

Question 18

What is the scale factor in a ratio of 3:1?

Answer 18

3

Question 19

If the ratio of adults to children in a park is 2:5 and there are 10 adults, how many children are there?

Answer 19

25 children

Question 20

What does it mean if two ratios are equivalent?

Answer 20

It means they represent the same relationship between quantities.

Question 21

Convert the ratio 15:10 to a percentage.

Answer 21

150%

Question 22

If a bag contains 3 red balls and 7 green balls, what is the ratio of red to green balls?

Answer 22

3:7

Question 23

Fill in the blank: To combine ratios, you must find a common _____ between the two ratios.

Answer 23

multiple

Question 24

What is the ratio of 50 to 200 expressed in simplest form?

Answer 24

1:4

Question 25

If the ratio of students to teachers is 15:1, how many students are there if there are 3 teachers?

Answer 25

45 students

Question 26

True or False: The sum of the parts of a ratio must equal 1.

Answer 26

False