College Math Placement Test Geometry 2 — Questions and Answers
Question 1: A circle has a circumference of 20π. What is its area?
- 100π (Correct answer)
- 400π
- 10π
- 40π
Correct answer: 100π
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?
- 115° (Correct answer)
- 65°
- 25°
- 130°
Correct answer: 115°
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?
- 94 (Correct answer)
- 60
- 47
- 120
Correct answer: 94
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?
- 120° (Correct answer)
- 60°
- 130°
- 110°
Correct answer: 120°
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)?
- 10 (Correct answer)
- 8
- 6
- 14
Correct answer: 10
Distance = √((5−(−3))² + (−2−4)²) = √(64 + 36) = √100 = 10.
Question 6: A cone has radius 6 and height 8. What is its slant height?
- 10 (Correct answer)
- 14
- 6
- 8
Correct answer: 10
Slant height = √(r² + h²) = √(36 + 64) = √100 = 10.
Question 7: Which set of side lengths can form a right triangle?
- 8, 15, 17 (Correct answer)
- 5, 10, 14
- 6, 9, 12
- 7, 10, 13
Correct answer: 8, 15, 17
8² + 15² = 64 + 225 = 289 = 17², satisfying the Pythagorean theorem.
College Math Placement Test Geometry 2
A circle has a circumference of 20π.
What is its area?