wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

VARIATION

Total questions: 15

Worksheet time: 26mins

Name
Class
Date
1.
The value of y varies directly with x.  Which function represents the relationship between x and y if y = 14 when x = 6. 
a)
y=20x
b)
y=84x
c)
y=7/3x
d)
y=3/7x
2.
 Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
3.
Two quantities, x and y, are in a relationship in which y varies directly with x. The graph of the function contains the point (-16, 28). Which equation represents this situation?
a)
y=-448x
b)
y=-44x
c)
y=-4/7x
d)
y=-7/4x
4.
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
5.
Is this a direct variation?  y =2x + 1
a)
Yes
b)
No
6.

If x varies inversely as the square root of y, and x = 9 when y = 121, find x when y = 81.

a)

7

b)

11

c)

13

d)

17

7.

If y varies inversely as x, and y = 23 when x = 8, find y when x = 4.

a)

26

b)

46

c)

52

d)

92

8.

If x varies inversely as y, and x = 3 when y = 8, find y when x = 4.

a)

3

b)

6

c)

9

d)

12

9.

If 32 men can reap a field in 15 days, in how many days can 20 men reap the same field?

a)

18 days

b)

20 days

c)

22 days

d)

24 days

10.

y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

a)

-64

b)

-128

c)

-256

d)

-512

11.

If y varies directly as x and inversely as z, and y = 24 when x = 48 and z = 4, find x when y = 44 and z = 6.

a)

126

b)

132

c)

148

d)

154

12.

If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

a)

4

b)

5

c)

8

d)

10

13.

If y varies jointly as a and b and inversely as the square root of c, and y = 12 when a = 3, b = 2, and c = 64, find y when a = 5, b = 2, and c = 25.

a)

8

b)

16

c)

24

d)

32

14.

The time it takes you to complete a puzzle is directly proportional to the number of pieces and inversely proportional to how many people are working on it. You and your three friends can complete a 1,000 piece puzzle in 2 hours. How long would it take you to complete a 2,500 piece puzzle?

a)

8 hours

b)

9 hours

c)

10 hours

d)

11 hours

15.

The number of minutes needed to solve an exercise set of variation problems varies directly as the number of problems and inversely as the number of people working on the solutions. It takes 4 people 36 minutes to solve 18 problems. How many minutes will it take 6 people to solve 42 problems.

a)

56 minutes

b)

52 minutes

c)

48 minutes

d)

44 minutes