Free Pre-Calculus Geometry Questions and Answers

Question 1

The hypotenuse of a triangle with sides 30-60-90 is 6. Determine the size of the smallest side.

Accepted Answer

3

Answer

3√2

Answer

2

Answer

3√3

Question 2

If the diameter of a circle is 16, how much space does it take up?

Accepted Answer

64π

Answer

128π

Answer

16π

Answer

8π

Question 3

All you'll see in the diagram below are straight lines. Find its circumference.

Accepted Answer

42

Answer

48

Answer

36

Answer

33

Question 4

Determine the size of the unmeasured angle in the given triangle.

Accepted Answer

50°

Answer

45°

Answer

40°

Answer

35°

Question 5

A circle has a circumference of 30. Approximately how big is is the area?

Accepted Answer

225π

Answer

900π

Answer

400π

Answer

15π

Question 6

How many degrees does a hexagon have in its interior angles when added together?

Accepted Answer

720°

Answer

1080°

Answer

810°

Answer

540°

Question 7

Try to calculate the area of the triangle shown.

Accepted Answer

20

Answer

30

Answer

35

Answer

40

Question 8

Two angles in the parallelogram below are expressed in terms of x. Find out what x actually is.

Accepted Answer

22

Answer

9

Answer

20

Answer

10

Question 9

What combination of side lengths would form a right triangle?

Accepted Answer

9, 12, and 15

Answer

5, 10, and 15

Answer

4, 9, and 10

Answer

4, 5, and 6

Question 10

The diagram below depicts a triangle with 6-inch sides. How much area does this triangle take up?

Accepted Answer

9√3

Answer

36

Answer

18

Answer

6√12