Free Printable Variation (Long Quiz)

1.

The cost (c) varies directly as the number (n) of pencils is written as:

a)

$c=kn$

b)

$c=\frac{k}{n}$

c)

$c=n$

d)

$c=kn^2$

2.

What kind of variation is described as, "for two quantities x and y, an increase in x causes an increase in y as well. Similarly, a decrease in x causes a decrease in y?"

a)

Combined Variation

b)

Joint Variation

c)

Inverse Variation

d)

Direct Variation

3.

Which among the following shows direct variation?

a)

$m=ml$

b)

$n=\frac{k}{b}$

c)

$k=bren$

d)

$r=ka$

4.

If y varies directly as x and y = 32 when x = 8, find the constant of variation.

a)

$k=128$

b)

$k=8$ $k=128$

c)

$k=4$

d)

$k=\frac{1}{4}$

5.

If y varies directly as x and y = 12 when x = 4, find y when x =12. (Write the number only. Examples: 1, 2.5, 3.7)

(a)

6.

The height of an object is directly proportional to the length of its shadow cast on the ground. A post 5 meters high casts a shadow of 6 meters. If the shadow of a nearby tree is measured to be 24 meters, how high is the tree?

a)

144 meters

b)

120 meters

c)

30 meters

d)

20 meters

7.

Which among the following shows inverse variation?

a)

The distance traveled and the elapsed time.

b)

$I=kmn$

c)

The number of students doing an activity and the number of days they make it

d)

$M=\frac{kt}{p^2}$

8.

If a varies inversely as the square of b, then what is the mathematical statement?

a)

$a=k\sqrt{b}$

b)

$a=kb^2$

c)

$a=\frac{k}{\sqrt{b}}$

d)

$a=\frac{k}{b^2}$

9.

Find the equation of variation of the given variation: If y varies inversely as the square of x: y varies inversely as the square and y = 3 when x = 2.

a)

$y=6x$

b)

$y=12x$

c)

$y=\frac{6}{x}$

d)

$y=\frac{12}{x}$

10.

If y varies inversely as x and y = 10 when x = 2, find y when x = 10.

a)

2

b)

10

c)

25

d)

50

11.

The number of days needed in repairing a house varies inversely as the number of men working. It takes 15 days for 2 men to repair the house. How many men are needed to complete the job in 6 days? (Write the number only. Example: 1, 2.5, 3.7)

(a)

12.

Write the mathematical statement: P varies jointly as q and r.

a)

$P=\frac{k}{qr}$

b)

$P=kqr$

c)

$P=\frac{kq}{r}$

d)

$P=qr$

13.

The volume V of the cylinder varies jointly as its height h and the square of the radius r.

a)

$V=\frac{kh}{r}$

b)

$V=\frac{kh}{r^2}$

c)

$V=khr$

d)

$V=khr^2$

14.

Write the equation of variation: z varies jointly as x and y. If z = 15 when x = 3 and y = 1.

a)

$z=3xy$

b)

$z=kxy$

c)

$z=5xy$

d)

$z=15xy$

15.

Z varies jointly as x and y and z=60 when x=5 and y=6. Find x when z=72 and y=4. (Write the number only: 1, 2.5, 3.7)

(a)

Variation (Long Quiz)

Total questions: 15

Worksheet time: 2hrs 30mins

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