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Worksheets

Two and Three Term Ratios

Total questions: 82

Worksheet time: 3hrs 35mins

Name
Class
Date
1.

What is a ratio?

a)

A comparison of two or more numbers using division.

b)

A part of 100

c)

A part of a whole

d)

Top number of a fraction

2.

The bottom number of a fraction is called the numerator.

a)
True
b)
False
3.
Ella has 5 balloons. Taylor has 7 balloons. Write the ratio of Ella's balloons to Taylor's balloons.
a)
7:5
b)
5:7
c)
3:5
d)
5:3
4.

The top number of a fraction is called

(a)  

5.

What is the definition of "simplify"?

4 lines
6.

On his math homework assignment, Steven solved six problems correctly and eight incorrectly.

 

Write a ratio comparing Steven’s number of correct answers to the number of incorrect answers.

a)

6:8

b)

8:6

c)

6:14

d)

8:14

7.

On his math homework assignment, Steven solved six problems correctly and eight incorrectly.

 

Write a ratio comparing Steven’s number of incorrect answers to the total number of problems.

a)

6:8

b)

8:6

c)

8:14

d)

6:14

8.

What are the proper ways to write this ratio?

Select ALL the correct answers

Balloons to Kites

a)

3 to 2

b)

2:3

c)

3 ballons to 2 kites

d)

3:2

e)

2 to 3

9.

What is the best description of the picture?

a)

Ratio Table

b)

Fraction

c)

Bar model

d)

Bar graph

10.

Which of the following is NOT a way to write a ratio?

a)

Using the word "to"

b)

Using a colon

c)

Fraction

d)

Decimal

11.

The fraction of bananas in a bowl is

8/15.

Calculate the ratio of bananas to other pieces of fruit in the bowl.

a)

8/15

b)

8/7

c)

7/15

d)

8/23

12.

There are 5 cats and 10 dogs. What is the fraction of cats to the total amount of animals.

a)

105\frac{10}{5}

b)

510\frac{5}{10}

c)

515\frac{5}{15}

d)

1015\frac{10}{15}

13.

How do you solve this equation?

a)

By finding the reciprocal of 1/2

b)

By finding the reciprocal of 1/4

c)

By multiplying
1x1

2x4

14.

Select all that apply:

a)

Circles to Squares

1:4

b)

Hexagons to Circles
1:2

c)

Squares to Hexagons
4:2

d)

Circles to Total Shapes
1:7

e)

Squares to Total shapes

2:7

15.

A recipe for one batch of cookies uses 4 cups of flour and 1 teaspoon of vanilla.

If you used 16 cups of flour, how many teaspoons of vanilla should you use?

(a)  

16.

A recipe for one batch of cookies uses 4 cups of flour and 1 teaspoon of vanilla.

If you used 5 teaspoons of vanilla, how many cups of flour should you use?

(a)  

17.

A family has three cats. The ratio to ears, paws, and tails is 6:12:3.

How many cat ears are there PER cat tails?

(a)  

18.

A family has three cats. The ratio to ears, paws, and tails is 6:12:3.

How many cat paws are there PER cat tails?

(a)  

19.

It costs $3 to buy 2 bags of chips.

At this rate, how many bags of chips can you buy with $12?

(a)  

20.

It costs $3 to buy 2 bags of chips.

What is the price of chips PER bag?

(a)  

21.

It costs $3 to buy 2 bags of chips.

How much do 20 bags of chips cost?



(a)  

22.

Train A traveled 12.5 meters in 1 second. How many seconds would it take the train to travel 100 meters?

(a)  

23.

Train B traveled 100 meters in 4 seconds. How many meters does the train travel in 1 second?

(a)  

24.

Paul ran 2 kilometers in 15 minutes and Andrew ran 3 kilometers in 20 minutes. Both ran at a constant speed.

Are they running at the same speed?

a)

Yes

b)

No

25.

Paul ran 2 kilometers in 15 minutes and Andrew ran 3 kilometers in 20 minutes. Both ran at a constant speed.

Who is running faster?

a)

Paul

b)

Andrew

26.

Are the ratios 13:20 and 1:2. equivalent?

a)

No

b)

Yes

27.

Are the ratios 2:1 and 18:9 equivalent?

a)

No

b)

Yes

28.

Are the ratios 7 to 18 and 1 to 2 equivalent?

a)

No

b)

Yes

29.

Are the ratios 4/1 and 20/5 equivalent?

a)

No

b)

Yes

30.

Are the ratios 10:20 and 1:2 equivalent?

a)

No

b)

Yes

31.

Are the ratios 1:2 and 4:7 equivalent?

a)

No

b)

Yes

32.

Are the ratios 2 to 1 and 20 to 10 equivalent?

a)

No

b)

Yes

33.

Are the ratios 2:1 and 13:7 equivalent?

a)

No

b)

Yes

34.

Are the ratios 2/4 and 3/10 equivalent?

a)

No

b)

Yes

35.

Select all ratios equivalent to 3:5.

a)

4:6

b)

21:35

c)

9:16

d)

6:10

36.

Select all ratios equivalent to 2/1.

a)

24:12

b)

4:2

c)

9:7

d)

11:5

37.

Select all ratios equivalent to 4 to 7.

a)

20 to 35

b)

24 to 40

c)

12 to 22

d)

2 to 3

38.

What is the ratio of the hot dogs to cheeseburgers?

a)

1:2

b)

2:4

c)

4:2

d)

2:1

39.
In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?
a)
5:4
b)
5:11
c)
2:5
d)
6:5
40.

A snack mixture contains 5 walnuts, 4 hazelnuts, and 10 peanuts. What is the ratio of the number of walnuts, hazelnuts, and peanuts to the number of peanuts?

a)

9 to 10

b)

10 to 9

c)

10 to 19

d)

19 to 10

41.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
42.

Write the ratio as a fraction in simplest form.


24 players : 3 teams

a)

1/8

b)

6/3

c)

8/1

d)

3/6

43.

Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total number of baskets?

a)

12 to 18

b)

3 to 2

c)

2:3

d)

18/30

44.

If the ratio of black jeans to blue jeans is 6 to 18 with a total of 240 jeans. How many of them are blue?

a)

180 blue jeans

b)

1 to 3

c)

60 blue jeans

d)

2 : 6

45.

It takes 14 people to play a 42 minute football game. How many people would it take to play a 60 minute football game?

a)

3 people

b)

20 people

c)

35 people

d)

50 people

46.

Mickey is looking for his ties and discovers that he has 20 shirts for every 4 ties. If he has 30 shirts, how many ties does he have?

a)

5 ties

b)

6 ties

c)

60 ties

d)

80 ties

47.

Simplify the ratio of 35:14

a)

5:2

b)

2:5

c)

3:1

d)

35:14

48.

What is the ratio of red apples to green apples?

a)

7 to 3

b)

4 to 7

c)

4 to 3

d)

3 to 4

49.

What is a Ratio?

a)

The relationship between to items or quantities

b)

A rate with a denominator of one

c)

It is when the only factor the numerator and denominator share is a one

d)

Two decimals that can be multiplied

50.

Angie purchased 25 fruits in all. 10 were apples and the rest were watermelons. What is the ratio of watermelons to apples? (in simplest form)

a)

25/10

b)

3/2

c)

10/25

d)

2/3

51.

A baseball team has 16 girls and 8 boys. What is the ratio of total players to boys? (in simplest form)

a)

24/11

b)

24/16

c)

3/1

d)

16/9

52.

Leah has 10 apps on her iPad. 5 are school apps, 2 are music apps, and 3 are games. What is the ratio of school apps to games apps to music apps?

a)

5:2

b)

5:3:2

c)

3:5:2

d)

3 to 2 to 5

53.

Which ratios are equivalent to 1:3? (Select all that apply)

a)

10:30

b)

6:18

c)

5:20

d)

2:9

54.

Are these ratios equivalent?

3:7 and 12:21

a)

Yes

b)

No

55.

Use the shapes in the picture to write the ratio of STARS to SQUARES.

a)

3 to 2

b)

2 to 4

c)

4 to 2

d)

3 to 4

56.

Find the missing number in the pair

10:35 and __:42

a)

20

b)

12

c)

32

d)

18

57.

Find one equivalent ratio for 15:30

a)

7:15

b)

5:10

c)

3:5

d)

5:3

58.

How can we find equivalent ratios? (2 answers)

a)

Adding

b)

Cross multiply

c)

Dividing

d)

Multiplying

59.

Find an equivalent ratio for 5:8

a)

10:24

b)

15:24

c)

15:16

d)

10:12

60.

Are these ratios equivalent?

a)

yes

b)

no

61.

Simplify the ratio

35:14

a)

3:1

b)

2:5

c)

35:14

d)

5:2

62.

Select all ratios equivalent to 8:6

a)

66:42

b)

12:9

c)

28:21

63.

Select all ratios equivalent to 3:12

a)

4:16

b)

16:4

c)

1:2

64.

Simplify the ratio

10:5

a)

2:10

b)

1:10

c)

1:2

d)

2:1

65.

Write the part to whole ratio as a percent

12:15

a)

80%

b)

75%

c)

12%

d)

15%

66.

Simplify the ratio (as low as it can go)

18:24

a)

3:4

b)

9:12

c)

2:3

d)

3:2

67.

15 students in this class like Sour Patch Kids and the other 18 prefer Swedish Berries. What is the ratio of students who like Sour Patch Kids to the whole?

a)

15:33

b)

15:18

c)

18:15

d)

33

68.

Write this ratio in it's simplest form

40:65

a)

7:12

b)

8:13

c)

8:12

d)

4:6.5

69.

Write this ratio in it's simplest form

32:40

a)

16:20

b)

8:10

c)

8:12

d)

4:5

70.

Write this ratio in it's simplest form

40:88:16

a)

10:22:4

b)

20:44:8

c)

5:11:2

d)

4:8.8:1.6

71.

Write this ratio in it's simplest form

120:300

a)

6:50

b)

12:30

c)

3:25

d)

1.2:3

72.

Write this ratio in it's simplest form

40cm:2m

a)

10:50

b)

20:1

c)

1:5

d)

20:100

73.

Write this ratio in it's simplest form

£1.75:75p

a)

3:1

b)

175:75

c)

25:15

d)

5:3

74.

Write this ratio in it's simplest form

800m:3km

a)

8:3

b)

4:15

c)

8:30

d)

800:3

75.

Write this ratio in it's simplest form

24mm:1.6cm

a)

6:4

b)

12:0.8

c)

12:8

d)

3:2

76.

Express this ratio in the form 1:n

5:20

a)

1:5

b)

20:1

c)

4:1

d)

1:4

77.

Express this ratio in the form 1:n

7:3

a)

1:7/3

b)

1:3/7

c)

1:7.3

d)

1:3

78.

Express this ratio in the form 1:n

2:5

a)

1:5/2

b)

1:2/5

c)

1:5

d)

1:2

79.

Express this ratio in the form 1:n

10:3

a)

1:10/3

b)

1:1/10

c)

1:3/10

d)

1:1/3

80.

In a class there are 14 boys and 16 girls. What is the ratio of girls to boys?

a)

16:14

b)

8:7

c)

14:16

d)

7:8

81.

In June there were 20 dry days. Find the ratio of wet to dry days.

a)

1:2

b)

10:20

c)

20:30

d)

1:3

82.

Of 150 students in year 12, 25 study Art and the rest study Health and Social Care. What is the ratio of those studying Health and Social Care to those studying Art?

a)

5:25

b)

5:1

c)

1:5

d)

25:5