Free Printable Review Test

1.

Which is an example of a direct variation?

a)

$mn=100$

b)

$p=\frac{2}{q}$

c)

$m=5n$

d)

$s=\frac{2}{m}$

2.

What mathematical statement describes the graph below?

a)

$lw=36$

b)

$\frac{l}{w}=36$

c)

$\frac{l}{36}=w$

d)

$\frac{w}{36}=l$

3.

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

a)

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

b)

$k=cn$

c)

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

d)

$c=kn$

4.

If d varies jointly as e and f and inversely as the square root of g, then what will be its equation?

a)

$d=\frac{ef}{g^2}$

b)

$d=\frac{kef}{\sqrt{g}}$

c)

$d=\frac{kef}{g}$

d)

$d=\frac{ef}{\sqrt{g}}$

5.

If a varies jointly as the product of b and cube of c, then what will be its equation?

a)

$a=b^3\sqrt{c}$

b)

$a=bc^3$

c)

$a=kb^3\sqrt{c}$

d)

$a=kbc^3$

6.

The speed j of a moving object is inversely proportional to the time t traveled is written as

a)

$j=kt$

b)

$j=\frac{k}{t}$

c)

$t=kj$

d)

$j=\frac{t}{k}$

7.

A truck travels a distance of d km in t hours. The formula that relates d to t is d=kt. What kind of variation is it?

a)

direct

b)

inverse

c)

combined

d)

joint

8.

z varies directly as x and z = 32 when x = 4. Find the constant of variation.

a)

8

b)

36

c)

28

d)

128

9.

Which of the following describes an inverse variation?

a)

b)

c)

d)

10.

What happens to T when h is doubled in the equation T = 4h?

a)

T is halved

b)

T is tripled

c)

T is doubled

d)

T becomes zero

11.

Find the value of the missing variable.

x varies jointly with y and the square root of z. When x = 18 and y = 2 , then z = 25. Determine the value of y when x = 12 and z = 3.

a)

y = 3.85

b)

y = 3.90

c)

y = 4.80

d)

y = 4.90

12.

Find the value of the missing variable.

a varies directly with b and inversely as the square of c, and a=10 when b = 40 and c = 9, find a when b = 18 and c = 6.

a)

a = 10.005

b)

a = 10.125

c)

a = 10.325

d)

a = 11.005

13.

Find the value of the missing variable.

p varies directly as the cube q. If p = 3 when q = 9, determine the value of q when p = 7.

a)

q = 10.98

b)

q = 11.94

c)

q = 12.65

d)

q = 13.94

14.

Find the value of the missing variable.

a varies inversely as b. If a =3 when b = 9, determine the value of b when a = 5.

a)

b = 2.5

b)

b = 3.9

c)

b = 4.3

d)

b = 5.4

15.

Find the value of the missing variable.

If w varies directly as the square of x and inversely as the square root of y, and w = 60 when x = 6 and y = 81, find x when w = 4 and y = 121.

a)

$x=\pm1.71$

b)

$x=\pm1.87$

c)

$x=\pm2.18$

d)

$x=\pm2.54$

16.

Problem - Solving.

The number of minutes needed to solve variation problems (v) varies directly as the number of problems given (p) and inversely as the number of people working together on the solutions (u). If it takes 5 people 40 minutes to solve 21 problems, then how many minutes will it take for 7 people to solve 38 problems?

a)

51.7 minutes

b)

52.7 minutes

c)

53.7 minutes

d)

54.7 minutes

17.

Problem - Solving.

Aileen and her 3 friends are looking for rooms in Jewel’s dormitory. The cost (c) of one room directly as the number of people (p) who share the room. If a room costs ₱1,500 per 5 people, how much will Aileen pay if they are going to share in just one room?

a)

₱ 325

b)

₱ 355

c)

₱ 375

d)

₱ 415

18.

Problem - Solving

The number of hours Robert will be spending playing games using his phone (h) varies inversely the amount of money he will save (s) for data a day. If Robert plays 5 hours he will only save 30 pesos for that day. Determine the amount of money he will save if he only plays 2 hours per day.

a)

₱55

b)

₱60

c)

₱75

d)

₱85

19.

The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 12 feet and a base with an area of 23 square feet has a volume of 92 cubic feet. Find the volume of a pyramid with a height of 17 feet and a base with an area of 27 square feet.

a)

$140\ ft^3$

b)

$148\ ft^3$

c)

$153\ ft^3$

d)

$158\ ft^3$

Review Test

Total questions: 19

Worksheet time: 55mins

Similar Resources on Wayground