SAT Math: Geometry & Trigonometry Practice Quiz

Question 1

A 12-by-10 rectangle has a right triangle removed from one corner. The removed triangle has legs of length 4 and 6. What is the area of the remaining figure?

Accepted Answer

108 square units

Question 2

Two lines intersect. One angle is 124 degrees. What is the measure of an adjacent angle?

Accepted Answer

56°

Question 3

A right triangle has legs of lengths 9 and 12. What is the length of the hypotenuse?

Accepted Answer

15

Question 4

A wheelchair ramp forms a 30° angle with the ground and reaches a platform 6 feet high. Approximately how long is the ramp?

Accepted Answer

12 feet

Question 5

For the circle with equation (x - 3)^2 + (y + 2)^2 = 25, what are the center and radius?

Accepted Answer

Center (3, -2), radius 5

Question 6

A cylindrical container has radius 4 inches and height 9 inches. What is its volume, in cubic inches, in terms of π?

Accepted Answer

144π

Question 7

Two similar triangles have corresponding side lengths 6 and 15. If another side in the smaller triangle is 10, what is the corresponding side in the larger triangle?

Accepted Answer

25

Question 8

From a point on level ground 30 meters from a building, the angle of elevation to the top is 38°. To the nearest meter, how tall is the building?

Accepted Answer

23 m

Question 9

A circular park has radius 60 meters. A 72° sector is fenced off for restoration. What is the area of that sector in square kilometers?

Accepted Answer

0.00072π km²

Question 10

What are the center and radius of the circle given by x^2 + y^2 + 6x - 4y - 12 = 0?

Accepted Answer

Center (-3, 2), radius 5