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Exploring Variation in Mathematics

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

If y varies directly with x and y = 20 when x = 5, what is y when x = 10?

a)

50

b)

10

c)

40

d)

30

2.

If z varies inversely with w and z = 3 when w = 4, what is z when w = 8?

a)

2

b)

0.75

c)

1.5

d)

6

3.

A varies directly as B. If A = 12 when B = 3, what is A when B = 6?

a)

30

b)

36

c)

24

d)

18

4.

If the area of a circle varies directly with the square of its radius, what is the area when the radius is 7 if the area is 50 when the radius is 5?

a)

70

b)

98

c)

150

d)

120

5.

If p varies directly with q and p = 15 when q = 5, find p when q = 10.

a)

30

b)

25

c)

20

d)

35

6.

If m varies inversely with n and m = 10 when n = 2, what is m when n = 5?

a)

4

b)

2

c)

8

d)

10

7.

If the cost of x items varies directly with the number of items, and the cost is $30 for 5 items, what is the cost for 10 items?

a)

$45

b)

$75

c)

$60

d)

$90

8.

If the speed of a car varies inversely with the time taken to travel a fixed distance, and the speed is 60 km/h when the time is 2 hours, what is the speed when the time is 3 hours?

a)

70 km/h

b)

40 km/h

c)

30 km/h

d)

50 km/h

9.

If the volume of a gas varies inversely with its pressure, and the volume is 4 liters at a pressure of 2 atm, what is the volume at a pressure of 4 atm?

a)

1 liter

b)

3 liters

c)

2 liters

d)

5 liters

10.

If the distance traveled varies directly with time at a constant speed, and 100 km is traveled in 2 hours, how far will be traveled in 5 hours?

a)

300 km

b)

150 km

c)

250 km

d)

200 km