College Math Placement Test Geometry 3

Question 1

A sector of a circle has a central angle of 90° and radius 8. What is the area of the sector?

Accepted Answer

16π

Answer

Area = (90/360)πr² = (1/4)π(64) = 16π.

Question 2

Triangle DEF is similar to triangle GHI with a scale factor of 3:5. If DE = 12, what is GH?

Accepted Answer

20

Answer

12/GH = 3/5, so GH = 12 × 5/3 = 20.

Question 3

What is the volume of a cylinder with radius 3 and height 10?

Accepted Answer

90π

Answer

Volume = πr²h = π(9)(10) = 90π.

Question 4

A quadrilateral has interior angles of 85°, 95°, 110°, and x°. What is x?

Accepted Answer

70

Answer

Sum of interior angles of a quadrilateral is 360°; x = 360 − 85 − 95 − 110 = 70.

Question 5

Point M is the midpoint of segment AB. If A = (2, −4) and M = (5, 1), what are the coordinates of B?

Accepted Answer

(8, 6)

Answer

B = (2(5) − 2, 2(1) − (−4)) = (8, 6).

College Math Placement Test Practice Test