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Ratio and Proportion

Total questions: 90

Worksheet time: 2hrs 25mins

Name
Class
Date
1.

Express 45 to 90 in its lowest term.

a)

3 : 4

b)

2 : 3

c)

1 : 2

d)

5 : 9

2.
Determine the ratio of the following
'30 minutes to 2 hours'
a)
30 : 2
b)
1 : 4
c)
1 : 6
d)
None of the above
3.
In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.
a)
2 : 5
b)
5 : 2
c)
3 : 4
d)
None of the above
4.
In a class there are 15 boys and 20 girls, find the ratio of number of girls to the total number of students in the class 
a)
3 : 4
b)
4 : 3
c)
4 : 7
d)
7 : 4
5.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
6.
Write 'True' or 'False'.
6 : 8 and 9 : 12 are equivalent ratios of 3 : 4
a)
TRUE
b)
FALSE
7.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
8.

Decrease 350kg in the ratio 3 : 5.

a)

300kg

b)

250kg

c)

200kg

d)

210kg

9.

Increase 2 hours 30 minutes in the ratio 6 : 5.

a)

200 minutes

b)

180 minutes

c)

150 minutes

d)

250 minutes

10.

A class has 75 students. If there are 50 boys. What is the ratio of girls to the class?

a)

1 : 3

b)

3 : 2

c)

5 : 7

d)

2 : 3

11.
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs.  Write and solve a proportion to find the number of cats.
a)
c=15
b)
c=18
c)
c=21
d)
c=16
12.
In a theme park for 6 people the ticket cost £39. How much does it cost for 9 people?
                             
a)
£45.8
b)
£48
c)
£58.50
d)
£52.60
13.
Write if the given proportion is 'True' or 'False':
8 : 9 = 24 : 18
a)
TRUE
b)
FALSE
c)
dont know
d)
none of these
14.
A shop had 4 blue chairs for £73.48 and 5 red chairs for £91.40. Write the cost of one chair of each colour ?
a)
blue = £18.37 , red = £18.28
b)
blue = £18.37, red = £18.46
c)
blue = £18.58, red = £18.28
d)
blue = £18.58, red = £18.63
15.
Which is the better deal?
Doritos
£4.20 for 10kg
OR
Cheetos
£4.80 for 12kg
a)
Doritos
b)
Cheetos
16.
An eight pack of juice boxes cost £4.81, and a twelve pack of juice boxes cost £6.48. Which is a better buy?
a)
8 pack
b)
12 pack
c)
They have the same unit price
17.
Which of these ratios is equivalent to 3:4?
a)
12:9
b)
9:20
c)
9:12
d)
803:804
18.
Josh bought a pizza with eight slices of pizza for £12. What is the cost of a slice of pizza?
a)
£12
b)
£1.50
c)
£3
d)
£1
19.
a)
1
b)
3
c)
12
d)
2
20.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, how far apart are they?
a)
87 km
b)
216 km 
c)
33 km
d)
192 km
21.
Solve the proportion.
a)
q=2
b)
q=9
c)
q=4.5
d)
q=6
22.
75 is 15% of what number?
a)
500
b)
20
c)
350
d)
425
23.
Tickets to Disney World are £100.The price is going to increase on January 1st. What is the percent of change if the cost increases to a £120?
a)
25%
b)
18%
c)
20%
d)
50%
24.
Find the unit rate of the ratio below:
30 cm of snow in 6 hours
a)
6 cm of snow per hour
b)
30 cm of snow per hour
c)
5 cm of snow per hour
d)
3 cm of snow per hour
25.
Paige rode her bike 4/5 mile. Megan rode her bike 3/4 mile.   Which statement is true?
a)
4/5 = 3/4
b)
4/5 > 3/4 
c)
3/4 > 4/5
d)
4/5 < 3/4 
26.
A recipe for a pizza that serves 5 people is as follows:
500g pizza dough
36g tomato puree
225g cheese
106g salami
What is the recipe for 2 people?
a)
200g pizza dough
7.2g tomato puree
90g cheese
21.2g salami
b)
150g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
c)
200g pizza dough
14.4g tomato puree
80g cheese
42.4g salami
d)
200g pizza dough
14.4g tomato puree
90g cheese
42.4g salami
27.
The scales have 3 pink cubes on one side and 5 purple cubes on the other.
If 2 pink cubes = 1.84kg, how much do 3 purple cubes weigh?
a)
1.651
b)
1.656
c)
0.546
d)
2.73
28.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
29.
Bonus question!
If my bus departs from Liverpool at 12:49 and arrives in Leeds at 14:03, how long was my journey?
a)
2 hours 14 minutes
b)
1 hour 14 minutes
c)
1 hour 34 minutes
d)
1.3 hours
30.
Bonus question!
What is 3.85 hours in minutes?
a)
252
b)
218
c)
221
d)
231
31.

What is the ratio of the number of oranges to strawberries?

a)

3 : 4

b)

4: 3

c)

3: 7

d)

4: 7

32.

What is the ratio of the number of strawberries to oranges?

a)

3 : 4

b)

4: 3

c)

3: 7

d)

4: 7

33.

What is the ratio of the number of strawberries to the total number of fruit?

a)

4 : 2

b)

6 : 4

c)

2 : 4

d)

2 : 6

34.

What is the ratio of the total number of fruit to the number of oranges?

a)

4 : 2

b)

6 : 4

c)

2 : 4

d)

2 : 6

35.

A class of 30 students has 16 boys. What is the ratio of girls to boys?

a)

16 : 30

b)

30 : 16

c)

24 : 16

d)

14 : 16

36.

A class of 30 students has 16 boys. What is the ratio of girls to the total number of students in the class?

a)

16 : 30

b)

14 : 30

c)

24 : 30

d)

30 : 14

37.

What is the ratio of red balls to green balls?

a)

6 : 5

b)

6 : 4

c)

5 : 6

d)

6 : 11

38.

What is the ratio of green balls to the total of the balls?

a)

6 : 5

b)

6 : 11

c)

5 : 11

d)

5 : 6

39.

A recipe for pancakes use 5 cups of flour and 2 cups of milk.

a)

2 : 5

b)

57\frac{5}{7}

c)

5 to 2

d)

2 : 7

40.

A recipe for pancakes use 5 cups of flour and 2 cups of milk. To make pancakes for a meeting, we will need 4 times of the quantity. 
How many flour and milk will we need to make pancakes for the meeting? 

a)

8 cups of milk and 20 cups of flour 

b)

8 cups of milk and 10 cups of flour 

c)

6 cups of milk and 9 cups of flour 

d)

20 cups of milk and 10 cups of flour 

41.
What is the ratio to the picture shown, triangles to squares?
a)
2:6
b)
5:6
c)
3:4
d)
4:3
42.
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
a)
2 to 5
b)
5 to 3
c)
3 to 5
d)
5 to 2
43.
If Mr. Smith gives 6 homework assignments every 2 weeks, how many homework assignments would he give in a 9 weeks? 
a)
54
b)
6
c)
18
d)
27
44.

Express 45 to 90 in its lowest term.

a)

3 : 4

b)

2 : 3

c)

1 : 2

d)

5 : 9

45.
In a class there are 30 boys and 12 girls. Find the ratio of number of boys to number of girls.
a)
2 : 5
b)
5 : 2
c)
3 : 4
d)
None of the above
46.

Answer should be in simplest form.


4 boys to 10 girls

a)

5:2

b)

2:5

c)

4:5

47.

Answer should be in simplest form.


10 eggs to 20 breads

a)

1:2

b)

10:20

c)

2:1

48.

Answer should be in simplest form.


3 ribbons to 13 ties

a)

3:13

b)

13:3

c)

3:3

49.

2:3 = 4:6

a)

Proportion

b)

Not Proportion

50.

9:3 = 1:9

a)

Proportion

b)

Not Proportion

51.

Type the missing number.


4:2 = N:1

(a)  

52.

Type the missing number.


2:N = 1:9

(a)  

53.

Type the missing number.


N:9 = 1:3

(a)  

54.

Type the missing number.


3:24 = 1:N

(a)  

55.

Type the missing number.


10:20 = 1:N

(a)  

56.

1.) Express 9:12 as a simple ratio.

a)

4:3

b)

3:4

c)

3:5

d)

4:5

57.

What is N in N:8=15:20 ?

a)

7

b)

4

c)

5

d)

6

58.

Which of these is a true proportion?

a)

6:12=3:6

b)

9:10=16:20

c)

8:5=16:15

d)

18:14=9:6

59.

Paula and Angel gave their mother some roses- 4 white and 9 red roses? What is the ratio of red roses to flowers?

a)

4:9

b)

9:4

c)

9:13

d)

4:13

60.

There are 6 boys for every 8 girls eating in a cafeteria. How many boys are there if there are 24 girls?

a)

16

b)

27

c)

32

d)

18

61.

How far can a car travel in 4 hours if it travels 180 km in 3 hours?

a)

120

b)

135

c)

240

d)

180

62.

________ is the comparison of two numbers or quantities with the same unit of measure?

a)

rate

b)

percent

c)

ratio

d)

proportion

63.

Compare the number of consonants to vowel in the word MATHEMATICS?

a)

4:7

b)

7:4

c)

3:5

d)

5:3

64.

Marites solved 7 out of 10 problems correctly. What is the ratio of the number of correct answers to the number of wrong answers?

a)

7:10

b)

7:3

c)

10:7

d)

3:7

65.

The ratio of two numbers is 3:7. If the bigger number is 21, find these numbers?

a)

9 and 21

b)

3 and 27

c)

3 and 9

d)

9 and 27

66.

The ratio of 1 cm to 1 m can be written as

a)

1:1

b)

1:10

c)

1:100

d)

10:1

67.

A basket has 15 mangosteen and a number of oranges. The ratio of mangosteen to orange is 1 : 3. Calculate the number of oranges.

a)

10

b)

15

c)

30

d)

45

68.

Ani's age to her mother's age is 1 : 4. Ani's mother's age is 48 years. What is Ani's age?

a)

10

b)

12

c)

14

d)

16

69.

Given mass of two children

Noor 13 kg 200 g

Wahidah 11 kg 50 g


Calculate the ratio , in kg of the mass of Wahidah to the mass of Noor

a)

11.05 : 13.2

b)

13.2 : 11.05

c)

11.5 : 13.2

d)

13.2 : 11.5

70.

There are 7 pens and 5 pencils in two different containers.

State the ratio of the number of pens to the total number of pens and pencils.

a)

7 : 11

b)

5 : 12

c)

7 : 12

d)

12 : 7

71.

The length of a wood is 4 m 80 cm. The wood is cut into 6 pieces of the same length. Calculate , the length , in cm of each of the wood cutting.

a)

60 cm

b)

70 cm

c)

80 cm

d)

90 cm

72.

Musyhi has 4 red marbles, 5 green marbles, and 6 yellow marbles. What is the ratio of red marbles to the entire marbles?

a)

2 :7

b)

4 : 3

c)

5 : 12

d)

4 : 15

73.

Ram, Shan, Maria and Rodi shared RM 17 000 equally. How much does each one gets?

a)

RM 3 660

b)

RM 3 950

c)

RM 4 250

d)

RM 4 340

74.

A string of length 498 cm is cut into 6 equal length. Find the length, in m of each part.

a)

0.83

b)

0.86

c)

0.89

d)

0.91

75.

There are 3 female and 2 male in a study group. The ratio of number of male students to number of female students is

a)

3 : 2

b)

3 : 5

c)

2 : 5

d)

2 : 3

76.

In the class of Mrs. Reyes, there are 32 girls and 18 boys. Find the ratio of the number of boys to girls in simplest form.

a)

8 : 3

b)

16 : 9

c)

3 : 8

d)

9 : 16

77.

It is a comparison of two number or quantities.

a)

Area

b)

Fractions

c)

Ratio

d)

Proportion

78.

Which of the following ratios is NOT written properly?

a)

3 : 6

b)

5 to 7

c)

19 by 20

d)

2550\frac{25}{50}

79.

It is a special ratio that compares two measurements with different units.

a)

Ratio

b)

Unit Rate

c)

Proportion

d)

Fraction

80.

Which of the following ratios is expressed as a unit rate?

a)

30 km for 2 hours

b)

115 words per 30 minutes

c)

₱ 320.00 in 5 days

d)

₱ 275.00 per kilo

81.

Cedric has 3 black, 4 red, and 7 white toy cars. What is the ratio of red toy cars to all the toy cars?

a)

3 : 14

b)

4 : 14

c)

7 : 14

d)

4 : 7

82.

Which of the following ratios is NOT equivalent to 8 : 10?

a)

1 : 2

b)

4 : 5

c)

16 : 20

d)

24 : 30

83.

If a car travels 280 miles in 7 hours, how far does it travel in an hour?

a)

30 miles per hour

b)

40 miles per hour

c)

50 miles per hour

d)

60 miles per hour

84.

How do you determine if two ratios are equal or proportion?

a)

If the product of the means is bigger than the product of the extremes.

b)

If the product of the means is smaller than the product of the extremes.

c)

If the product of the means is equal to the product of the extremes.

d)

If the product of the means is not equal to the product of the extremes.

85.

In the proportion 6 : 8 = 3 : 4, which are the means?

a)

6 and 4

b)

6 and 3

c)

8 and 3

d)

8 and 4

86.

Why is the given pair of ratios a proportion?

53=159\frac{5}{3}=\frac{15}{9}  

a)

the cross products are not equal

b)

the cross products are equal

c)

the second ratio is smaller

d)

the first ratio is smaller

87.

Which of the following is an equivalent ratio to 24 : 32?

a)

1 : 2

b)

2 : 3

c)

3 : 4

d)

4 : 5

88.

Are the given ratios proportional?


3 : 12 = 1 : 4 

a)

Yes

b)

No

89.

Are the given ratios proportional?


636=19\frac{6}{36}=\frac{1}{9}  

a)

Yes

b)

No

90.

Are the given ratios proportional?


7 : 21 = 1 : 4

a)

Yes

b)

No

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