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Worksheets

Direct proportion

Total questions: 74

Worksheet time: 3hrs 52mins

Name
Class
Date
1.
a)

10

b)

2.5

c)

2

d)

20

2.
a)

42

b)

7

c)

3

d)

38

3.
a)

256

b)

4

c)

64

d)

128

4.
a)

35

b)

5

c)

45

d)

49

5.
a)

20

b)

4

c)

5

d)

24

6.
a)

147

b)

3

c)

63

d)

441

7.
a)

125

b)

5

c)

25

d)

100

8.
a)

40

b)

4

c)

400

d)

80

9.
a)

48

b)

3

c)

144

d)

100

10.
a)

108

b)

4

c)

20

d)

180

11.

What is the direct proportion equation for the following information. x = 12, y = 16

a)

16 = k(12)

b)

y = kx

c)

y = 4/3 x

d)

k = 16/12

12.

What is the direct proportion equation for the following information. x = 12, y = 16

a)

16 = k(12)

b)

y = kx

c)

y = 4/3 x

d)

k = 16/12

13.

Which of the following table shows a direct proportion relationship?

a)
b)
c)
d)
14.

Which of the following graph shows a direct proportion relationship?

a)
b)
c)
d)
15.
Which equation matches the graph?
a)
y = 8x
b)
y = 1x
c)
y = 3x
d)
y = 16x
16.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
17.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
18.
Determine if the ratios are proportional.
4/5 and 15/20
a)
Yes
b)
No
19.
A TV is regularly priced at $600, but it is on sale for 20% off. What's the sale price?
a)
$320
b)
$500
c)
$480
d)
$720
20.
The bill is $87.00 and you leave a 12% tip.  What is the amount of the TIP?
a)
$12.85
b)
$10.44
c)
$14.52
21.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
22.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
23.

What type of proportion does the table represent?

a)

Direct

b)

Inverse

c)

I dont' know

24.

1.The number of pencils sold is directly proportional to the cost. If 5 pencils cost £0.45, find the cost of 7 pencils.

a)

£0.59

b)

£0.63

c)

£0.36

d)

£0.56

25.

g is directly proportional to b

Given g=20 when b=4.


Find g when b=7

a)

35

b)

5

c)

15

d)

23

26.
The number of kilograms of water in a person’s body varies directly as the person’s mass.  A person with a mass of 90 kg contains 60 kg of water.  How many kilograms of water are in a person whose mass is 75 kg?
a)
50 kg water
b)
72 kg water
c)
94 kg water
d)
150 kg water
27.
The ratio of boys to girls in history class is 4 to 5. How many girls are in the class if there are 12 boys in the class?
a)
12 girls
b)
15 girls
c)
5.3 girls
d)
27 girls
28.
Two slices of Dan’s Famous Pizza have 230
Calories. How many Calories would you expect to be in 5 slices of the same pizza?
a)
2.5 calories
b)
575 calories
c)
250 calories
d)
460 calories
29.
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
a)
2.5 cups milk
b)
1.75 cups milk
c)
2 cups flour
d)
2.25 cups milk
30.

Two slices of Dan’s Famous Pizza have 300

Calories. How many Calories would you expect to be in 6 slices of the same pizza?

a)

30 calories

b)

900 calories

c)

1200 calories

d)

460 calories

31.

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 12 cups of flour. How many cups of milk should he use to keep the proportions correct?

a)

6 cups milk

b)

3 cups milk

c)

5.5 cups milk

d)

9 cups milk

32.

Every 30 seconds, you can text 35 words. How many words can you type in 5 mins?

a)

1200

b)

350

c)

1000

d)

1,800

33.
Find missing side
a)
5
b)
7
c)
9
d)
11
34.

Lisa can fold 48 paper stars in 2 hours.

How many stars can she fold in 3 h?

a)

48

b)

72

c)

24

d)

96

35.

6 cats eat 1 kg of fish. How many kilograms of fish do you need to feed 18 cats?

a)

18 kg

b)

12 kg

c)

6 kg

d)

3 kg

36.

1 SGD = RM 3.1

120 SGD = ?

a)

RM 123.1

b)

RM 372

c)

RM 360

d)

RM 240

37.
The amount of money earned on a job is directly proportional to the number of hours worked.  If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
38.

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

a)

4/5

b)

17

c)

16

d)

25

39.

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

a)

88/3

b)

28

c)

66/4

d)

24

40.

Which equation exhibits a direct proportion?

a)

y = 5x - 2

b)

y = 3/4 x

c)

y - x = 4

d)

x = 6

41.

Upon seeing, "y varies directly as x" we immediately.....

a)

write down what x and y are

b)

write down what k is equal to

c)

substitute into the equation

d)

write y = kx

42.

Y varies directly as x. If y = 39 when x = 52, what is the best answer for k?

a)

k = 52

b)

k = 4/3

c)

k = 3/4

d)

k = 39/52

43.

If x = 9 when y = 30, and x = 27 when y = 90, does y vary directly with x? If so, what is k equal to

a)

Yes, k = 10/3

b)

no

c)

Yes, k = 3/1

d)

Yes, k = 9

44.
a)

10

b)

2.5

c)

2

d)

20

45.
a)

42

b)

7

c)

3

d)

38

46.
a)

256

b)

4

c)

64

d)

128

47.
a)

35

b)

5

c)

45

d)

49

48.
a)

20

b)

4

c)

5

d)

24

49.
a)

147

b)

3

c)

63

d)

441

50.
a)

125

b)

5

c)

25

d)

100

51.
a)

40

b)

4

c)

400

d)

80

52.
a)

48

b)

3

c)

144

d)

100

53.

A packet of 500 sheets of paper has mass 2.5 kg.

Find the mass of one sheet of paper ?

a)

200 kg

b)

200 g

c)

5 kg

d)

5 g

54.

n varies directly with c. If c = 24 when n = 18, what is c when n = 22?

a)

88/3

b)

28

c)

66/4

d)

24

55.

Y varies directly as x. If y = 12 when x = 15, what is y when x = 20?

a)

4/5

b)

17

c)

16

d)

25

56.

A heater uses 3 units of electricity in 40 minutes. How many units does it use in 2 hours?

a)

120 minutes : 9 units

b)

120 minutes : 8 units

c)

100 minutes : 5 units

d)

2 hours : 19 units

57.

A machine prints 1500 newspapers in 45 minutes. How many does it print in 12 hours?

(a)  

58.

A photocopier can copy 16 pages per minute.

Find the time to photocopy 312 pages ?

a)

18 minutes

b)

19.5 minute

c)

21 minutes

d)

22.5 minutes

59.

A bricklayer lays 1200 bricks in an average 8-hour day. How many bricks does he lay in a 40-hour week?

a)

40 hours : 8000 bricks

b)

40 hours : 6000 bricks

c)

2400 minutes : 6000 bricks

d)

24 hours : 6000 bricks

60.

A combine harvester produces 9 tonnes of grain in 6 hours. How many tonnes does it produce in 5 hours?

a)

54 hours : 71 tonnes

b)

54 hours : 80 tonnes

c)

54 hours : 81 tonnes

d)

54 hours : 82 tonnes

61.

Sand and gravel are mixed in the ration 4 : 3 to make ballast. 80kg of sand is used. How much gravel is used?

a)

80 kg : 56 kg

b)

70 kg : 69 kg

c)

80 kg : 59 kg

d)

80 kg : 60 kg

62.

A necklace has green and blue beads in the ration 2 : 3. There are 24 green beads on the necklace. How many blue beads are there?

a)

14 : 27

b)

24 : 18

c)

24 : 36

d)

12 : 18

63.

How was this quiz? It was my first.

a)

Very Good

b)

Good

c)

Bad

d)

Very Bad

64.

A recipe requires 3 eggs to make 7 cookies. How many eggs will be needed to make 14 cookies?

(a)  

65.

A recipe requires 4 cups of sugar to make 8 cookies. How many cups of sugar will be needed to make 24 cookies?

(a)  

66.

A recipe for pastry requires 180g of sugar to make 540g of pastry. How many grams of sugar will be needed to make 5400g of pastry?

(a)  

67.

A recipe for pastry requires 160g of sugar to make 320g of pastry. How many grams of sugar will be needed to make 40g of pastry?

(a)  

68.

A bottling machine makes 60 bottles in 11 hours. How many bottles will it make in 16 hours?

(a)  

69.

A bottling machine makes 60 bottles in 5 hours. How many bottles will it make in 3 hours?

(a)  

70.

After 35 games of a football season, Manchester United won 14 games and lost 21 games. At this rate, how many games will they win in a 54 game season?

(a)  

71.

If Jesse walks 6 miles in 91 minutes, how many miles will he walk in 110 minutes?

(a)  

72.

If Jesse walks 6 miles in 91 minutes, how many miles will he walk in 110 minutes?

(a)  

73.

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

a)

35

b)

18

c)

60

d)

50

74.

Solve the proportion

a)

4

b)

6

c)

9

d)

44