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Unit 14 Ratios And Proportions

Total questions: 95

Worksheet time: 3hrs 38mins

Name
Class
Date
1.
What is the ratio of red apples to green apples
a)
7 apples to 3 green
b)
4 red apples to 7 apples
c)
4 red apples to 3 green apples
d)
3 green apples to 4 red apples
2.
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
3.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 : 5
b)
10 : 13
c)
3:4
d)
3:5
4.
Patrick has 2 black, 3 red, and 5   white toy cars. What is the ratio of red toy cars to all the toy cars? 
a)
3:5
b)
1:3
c)
3:11
d)
3:10
5.
The Northwestern huskies had a record of 25 wins and 45 losses.  What was the ratio of wins to losses?
a)
9:5
b)
5:9
c)
5:3
d)
3:5
6.
There are 4 birds and 6 snakes. What is the ratio of birds to snakes?
a)
6:4
b)
4:6
c)
1:3
d)
10:16
7.
If there are 88 students for 4 classes
How many students should there be per class?
a)
22 students per class
b)
22 classes per student
c)
25 students per class
d)
25 classes per student
8.
Write the ratio as a fraction in simplest form.
 15 girls to 6 boys   
a)
6:7
b)
5:3
c)
1:1
d)
5:2
9.
What is the ratios of cats to dogs if there are 28 cats and 70 dogs?
a)
2:5
b)
5:2
c)
70:28
d)
98
10.
There are 24 balls in a bag.3 are basketballs, 12 are volleyballs and the rest are soccer balls. What is the ratio of soccer balls to volleyballs?
a)
3 : 12
b)
9:24
c)
3 to 4
d)
3:8
11.
Are the following ratios equivalent
6:12 = 15:30
a)
YES
b)
NO
12.
Are the following ratios equivalent
3 to 4 =  6 to 4
a)
Yes
b)
No
13.
Kelly 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 game apps?
a)
5 to 2
b)
3 to 5
c)
5 to 10
d)
5 to 3
14.
Which of these is equivalent to 5:8?
a)
10:16
b)
16:10
c)
13:16
d)
8:5
15.
a)
a
b)
b
c)
c
d)
d
16.
Which ratio is equivalent to 12:20
a)
20:12
b)
2:3
c)
3:5
d)
3:10
17.
Which ratio is equivalent to 3:4
a)
12:14
b)
6:8
c)
4:3
d)
20:15
18.
Which ratio is equivalent to 5 to 4
a)
25 to 20
b)
10 to 12
c)
4 to 5
d)
15 to 8
19.
A class has 15 boys and 20 girls. What is the boy:girl ratio in simplest form?
a)
4 to 5
b)
10 to 13
c)
3:4
d)
3:5
20.
Write the ratio as a fraction in simplest form.
 15 girls to 6 boys   
a)
5 to 2
b)
5/3
c)
3 to 5
d)
5/2
21.
If the rangers won 100 games and lost 60, what is the simplified ratio of wins to losses?
a)
10 to 6
b)
5 to 3
c)
6 to 10
d)
3 to 5
22.
Write the ratio as a fraction in simplest form. 
 
 24 players : 3 teams
a)
8:3
b)
8 to 1
c)
8/1
d)
8/3
23.
Express the ratio as a fraction in simplest form:
18 ounces to 3 cups
a)
6 to 1
b)
1/6
c)
18/3
d)
6/1
24.
Simplify the ratio of
35 : 14
a)
5 : 2
b)
2 : 5
c)
3 : 1
d)
No Option is Correct
25.
There are 21 boys and 6 girls in Mr. Keys' homeroom.  What is the ratio of girls to boys?  
a)
6:21
b)
21:6
c)
2:7
d)
7:2
26.
Which number can both these numbers evenly be divided by? 
3 and 6
a)
3
b)
4
c)
6
d)
8
27.
What is the highest number these two numbers can evenly be divided by? 
16 and 20
a)
1
b)
2
c)
4
d)
5
28.
Simplify the fraction - 5/10
a)
10/5
b)
1/2
c)
3/4
d)
10/20
29.
Simplify the fraction - 16/32
a)
4/8
b)
8/16
c)
32/64
d)
1/2
30.
Simplify the ratio - 4:6
a)
2:3
b)
1:4
c)
8:12
d)
3:2
31.
Simplify the ratio - 12:16
a)
4:6
b)
8:10
c)
6:8
d)
3/4
32.
Simplify to a unit rate - 50:100
a)
25
b)
1:2
c)
10:20
d)
5:10
33.
Simplify to a unit rate - 25/150
a)
2/3
b)
7/8
c)
3/4
d)
1/6
34.
Simplify to a unit rate - 120/4
a)
30/1
b)
20/1
c)
10/1
d)
5/1
35.
Simplify to a unit rate - 144/12
a)
3/12
b)
4/2
c)
12/1
d)
6/1
36.
Identify the Unit Rate:
a)
5:6
b)
3/4
c)
K
d)
20/1
37.
Identify the Unit Rate: 
a)
20 Miles per Hour
b)
30 Miles in 2 Hours
c)
3 Hours in 120 Miles
d)
50 Miles per 2 Hours
38.
Identify the Unit Rate:
a)
23 Students Per 2 Classes
b)
5 Classes for 100 Students
c)
25 Student per Class
d)
4 Classes Per 20 Students
39.
There are 100 students in 5 classes.  What is the unit rate? 
a)
5 Students per Class
b)
40 Students per 2 Classes
c)
60 Students per 3 Classes
d)
20 Students per Class
40.
It took me 4 hours to get to Grand Junction, CO, which is 244 miles away.  How fast did I go? 
a)
45
b)
61
c)
61 Miles per Hour
d)
45 Miles per Hour
41.

Simplify the ratio 600 ml : 3.3 l

(a)  

42.

$360 is shared among Hannah, Ryan, and Kelly in the ratio 2:3:5. How much is the largest amount received?

a)

$108

b)

$72

c)

$180

d)

$164

43.

$360 is shared among Hannah, Ryan, and Kelly in the ratio 2:3:5. How much less will Hannah receive than Kelly?

a)

$72

b)

$108

c)

$180

d)

$252

44.

A tin of biscuits contains shortbread, fruit, and chocolate biscuits in the ratio 3:1:4.

The tin contains 56 chocolate biscuits.

How many biscuits in the box are fruits?

a)

21

b)

28

c)

7

d)

14

45.

A tin of biscuits contains shortbread, fruit, and chocolate biscuits in the ratio 3:1:4.

The tin contains 56 chocolate biscuits.

How many biscuits are there altogether?

a)

112

b)

98

c)

168

d)

448

46.

Uncle Tom gives $2640 to be shared among his grandchildren in the ratio of their ages.

The grandchildren are 8, 10, 13, and 17 years old.

How much does the second grandchild receive?

a)

$440

b)

$550

c)

$935

d)

$715

47.

Uncle Tom gives $2640 to be shared among his grandchildren in the ratio of their ages.

The grandchildren are 8, 10, 13, and 17 years old.

How much more will the oldest receive than the youngest?

a)

$385

b)

$220

c)

$495

d)

$1375

48.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.


How much did Alain pay?

a)

$1500

b)

$150000

c)

$15500

d)

$15000

49.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.


Write in the simplest form, the ratio of Elain's share: Regina's share: Alain's share.

(a)  

50.

Elaine, Regina, and Alain buy a boat for $33 000.

Elaine pays $12 000, Regina pays $6000 and Alain pays the rest.

Six years later they sell the boat for $25 300.

They share the money in the same ratio that they bought the boat.

How much money does Alain lose on the sale of the boat?

a)

$7700

b)

$18500

c)

$3500

d)

$11500

51.

Share 40 sweets in the ratio 5 : 3

a)

25 : 15 sweets

b)

15 : 25 sweets

c)

30 : 10 sweets

d)

5 : 3 sweets

52.

Share 18 sweets in the ratio 2 : 1

a)

12 : 6 sweets

b)

10 : 8 sweets

c)

6 : 12 sweets

d)

2 : 1 sweets

53.

Share 15 counters in the ratio 2 : 3

a)

6 : 9 counters

b)

5 : 10 counters

c)

2 : 3 counters

d)

9 : 6 counters

54.

Share £12 in the ratio 3 : 1

a)

£9 : £3

b)

£3 : £1

c)

£3 : £9

d)

£8 : £4

55.

Share 21kg in the ratio 3 : 4

a)

9kg : 12kg

b)

12kg : 9kg

c)

8kg : 12kg

d)

7kg : 14kg

56.

Share 60 litres in the ratio 7 : 5

a)

35L : 25L

b)

25L : 35L

c)

7L : 5L

d)

35kg: 25kg

57.

Share 72 candles in the ratio 3 : 1 : 4

a)

27 : 9 : 36 candles

b)

3 : 1 : 4 candles

c)

36 : 9 : 27 candles

d)

9 : 27 : 36 candles

58.

Share 66ml in the ratio 2 : 4 : 5

a)

12ml : 24ml : 30ml

b)

12g: 24g : 30g

c)

2ml : 4ml : 5ml

d)

30ml : 12ml : 24ml

59.

Share 270g in the ratio 5 : 3 : 1

a)

150g : 90g : 30g

b)

150ml: 90ml : 30ml

c)

50g : 30g : 10g

d)

90g : 150g : 30g

60.

Share £3 in the ratio 3 : 7

a)

90p : £2.10

b)

90p : £210

c)

£90 : £2.10

d)

£1 : £2

61.

$28 is to be shared in the ratio 3:1.


What is the larger share?

a)

$4

b)

$7

c)

$21

d)

$84

62.

Anna and Betty share £20 in the ratio 1:3. How much does Anna get?

a)

£4

b)

£1

c)

£5

d)

£3

63.

Simplify

a)

2:10

b)

1:10

c)

1:2

d)

2:1

64.

Share 30 in the ratio 2:1

a)

2:28

b)

20:1

c)

20:10

d)

10:20

65.

A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)

a)

12:18

b)

3:2

c)

30:18

d)

18:7

66.

Bill and Heather share £45 in the ratio 4:5. How much does Bill get?

a)

£18

b)

£15

c)

£25

d)

£20

67.

Libby and Grant share £42 in the ratio 3:4. How much do they each get?

a)

Libby £20; Grant £22

b)

Libby £24; Grant £18

c)

Libby £21; Grant £28

d)

Libby £18; Grant £24

68.
Split £20 into the ratio 7:3
a)
£14 : £6
b)
£7 : £3
c)
£6 : £14
d)
£70 : £30
69.
Split £9 into the ratio 4:5
a)
£4 : £5
b)
£36 : £45
c)
£45 :£36
d)
£9 : £20
70.
Split £36 into the ratio 1:2
a)
£12 : £24
b)
£36 : £72
c)
£6 : £30
d)
£30 : £6
71.
Split £10 into the ratio 4:1
a)
£8 : £2
b)
£2 : £8
c)
£40 : £10
d)
£5 : £15
72.
Split £128 into the ratio 9:7
a)
£72 : £56
b)
£100 : £28
c)
£90 : £70
d)
£28 : £100
73.
Split £15 into the ratio 1:2
a)
£5 : £10
b)
£10 : £20
c)
£15 : £30
d)
£3 : £12
74.
Split £105 into the ratio 7:8
a)
£49 : £56
b)
£70 : £80
75.
Split £40 into the ratio 3:7
a)
£12 : £28
b)
£30 : £70
c)
£30 : £10
d)
£28 : £12
76.
Split £72 into the ratio 5:3
a)
£45 : £27
b)
£50 : £30
c)
£60 : £12
d)
£27 : £45
77.
Split £35 into the ratio 5:2
a)
£25 : £10
b)
£175 : £70
c)
£10 : £25
d)
£35 : £15
78.

Share 180 in the ratio 3:2:1

a)

30:90:60

b)

90:60:30

c)

120:60:30

d)

60:30:90

79.

Share 10 in the ratio 1:4

a)

2:8

b)

8:2

c)

18

d)

10

80.

John and Keith share £30 in the ratio 2:3. How much does Keith get?

a)

£6

b)

£15

c)

£12

d)

£18

81.

Alan and Barry share £18 in the ratio 1:2. how much does Alan get?

a)

£3

b)

£6

c)

£2

d)

£18

82.

Layla and Majnun share £45 in the ratio 4:5. How much does Layla get?

a)

£25

b)

£35

c)

£30

d)

£20

83.

Debbie and Elaine share £20 in the ratio 1:3. How much does Elaine get?

a)

£16

b)

£12

c)

£3

d)

£15

84.

Derek and Eric share £30 in the ratio 2:3. How much does Eric get?

a)

£12

b)

£18

c)

£20

d)

£15

85.

Adam and Eve share £18 in the ratio 1:2. How much does Eve get?

a)

£6

b)

£12

c)

£3

d)

£18

86.

Adam and Eve share £18 in the ratio 1:2. How much does Eve get?

a)

£6

b)

£12

c)

£3

d)

£18

87.

Split £36 into the ratio 1:2

a)

£24 : £12

b)

£12 : £24

c)

£6 : £30

d)

£30 : £6

88.
a)

£10:£50

b)

£30:£50

c)

£24:£40

d)

£42:£24

89.
a)

£39:£65

b)

£65:£39

c)

£36:£60

d)

£60:£36

90.
a)

£4:£12

b)

£12:£4

c)

£12:£2

d)

£2:£12

91.
a)

£22:£55

b)

£24:£60

c)

£14:£35

d)

£12:£30

92.
a)

£150:£120

b)

£120:£80

c)

£135:£95

d)

£160:£90

93.
a)

£175:£50

b)

£125:£75

c)

£150:£75

d)

£150:£50

94.
a)

£105:£63

b)

£100:£83

c)

£120:£48

d)

£90:£78

95.
a)

£24:£18

b)

£28:£21

c)

£18:£12

d)

£20:£24

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