College Math Placement Test Geometry 2

Question 1

A circle has a circumference of 20π. What is its area?

Accepted Answer

100π

Answer

Circumference = 2πr = 20π gives r = 10, so area = πr² = 100π.

Question 2

Two parallel lines are cut by a transversal. One co-interior (same-side interior) angle measures 65°. What is the other co-interior angle?

Accepted Answer

115°

Answer

Co-interior angles are supplementary, so 180° − 65° = 115°.

Question 3

A rectangular prism has length 5, width 4, and height 3. What is its surface area?

Accepted Answer

94

Answer

SA = 2(lw + lh + wh) = 2(20 + 15 + 12) = 2(47) = 94.

Question 4

In triangle ABC, angle A = 50° and angle B = 70°. What is the measure of the exterior angle at C?

Accepted Answer

120°

Answer

The exterior angle equals the sum of the two non-adjacent interior angles: 50° + 70° = 120°.

Question 5

What is the distance between points (−3, 4) and (5, −2)?

Accepted Answer

10

Answer

Distance = √((5−(−3))² + (−2−4)²) = √(64 + 36) = √100 = 10.

College Math Placement Test Practice Test