Free Printable Geometric Mean

1.

The geometric mean of 4 and 16 is

a)

8

b)

10

c)

12

d)

Cannot be determined

2.

The geometric mean of 8 and 18 is

a)

13

b)

12

c)

11

d)

Cannot be determined

3.

If g is the geometric mean of a and b, which of the following is NOT true?

a)

$\frac{a}{g}=\frac{b}{g}$

b)

$\frac{g}{a}=\frac{b}{g}$

c)

$ab=g^2$

d)

$\frac{a}{g}=\frac{g}{b}$

4.

Find the length of AB.

a)

36

b)

18

c)

6

d)

12

5.

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

a)

$\frac{10}{x}=\frac{x}{14}$

b)

$\frac{10}{x}=\frac{x}{24}$

c)

$10^2+x^2=14^2$

d)

$10^2+x^2=24^2$

6.

In right triangle ABC below, CD is the altitude to hypotenuse AB. If CD=6 and the ratio of AD to AB is 1:5, determine and state the length of BD.

a)

2.68

b)

7.2

c)

14.4

d)

3.1

7.

How far is it across the lake?

a)

4

b)

6

c)

9

d)

12

8.

Find the length of the altitude of triangle PQR.

a)

6.9

b)

48

c)

24

d)

0

9.

Find the value of x.

a)

0

b)

48

c)

4.9

d)

24

10.

Find the value of x.

a)

12

b)

16

c)

9

d)

6

11.

In the right triangle ABC below, CD is the altitude to the hypotenuse AB. If AC=28, and the ratio of AD to AB is 4:3, determine the value of x.

a)

28

b)

$4\sqrt{7}$

c)

$7\sqrt{2}$

d)

$2\sqrt{7}$

12.

What is geometric mean of 4 and 9?

a)

5

b)

6

c)

7

d)

8

13.

What is the value of f?

a)

20

b)

15

c)

25

d)

50

14.

Find the value of x.

a)

15√5

b)

5√5

c)

5√3

d)

3√5

15.

Find the value of y.

a)

4

b)

2√6

c)

6√2

d)

12

Geometric Mean

Total questions: 15

Worksheet time: 31mins

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