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Worksheets

Variations

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

What is the standard equation of direct variation?

a)

y = kx

b)

y = k/x

c)

y = kxz

d)

y = kx/z

2.

y is directly proportional to x, and y = 24 when x = 4.


What is the value of y when x = 3?

a)

18

b)

20

c)

23

d)

43

3.

P is directly proportional to T.


Which of the following could be the graph connecting T and P?

a)
b)
c)
d)
4.

y is inversely proportional to x, and y = 8 when x = 3

What is the equation?

a)

y = 24x

b)

y = 24/x

c)

y = 24

d)

x = 24

5.

The time (t days) required to build a house is inversely proportional to the number of builders (n), all working at the same rate.


If there are 6 builders, it takes 80 days to complete the house.

How many builders must be employed to build the house in just 16 days?

a)

1.2

b)

25

c)

30

d)

36

6.

The electrical voltage V varies jointly as the current I and the resistance R.

What is its translation?

a)

V=klR

b)

V=kR

c)

V=k/IR

d)

V=kI/R

7.

z varies jointly as x and y and z = 60 when x = 5 and y = 6.

Find z when x = 7 and y = 6

a)

84

b)

60

c)

24

d)

30

8.

w varies directly as x and y and inversely as v2 and w = 1200 when x = 4, y = 9 and v = 6. Find w when x = 3, y = 12, and v = 10.

a)

432

b)

4320

c)

346

d)

243

9.

If y varies inversely as x and y = 3 when x = 4. What is its equation?

a)

y = 12x

b)

y = 12/x

c)

y = x/12

d)

y = 12

10.

q varies jointly as r and s. If q = 2.4, when r = 0.6 and s = 0.8

Find its equation.

a)

q=5rs

b)

q =5/rs

c)

q=5r/s

d)

q=5r