PSAT/NMSQT Geometry & Measurement 2 — Questions and Answers
Question 1: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 10 (Correct answer)
- 12
- 14
- 48
Correct answer: 10
By the Pythagorean theorem, √(6² + 8²) = √100 = 10.
Question 2: The circumference of a circle is 10π. What is its radius?
- 5 (Correct answer)
- 10
- 20
- 2.5
Correct answer: 5
Circumference = 2πr, so 2πr = 10π gives r = 5.
Question 3: A rectangle has a length of 12 and a width of 5. What is the length of its diagonal?
- 13 (Correct answer)
- 17
- 7
- 60
Correct answer: 13
The diagonal is √(12² + 5²) = √169 = 13.
Question 4: Two angles are complementary. If one measures 35°, what does the other measure?
- 55° (Correct answer)
- 65°
- 145°
- 35°
Correct answer: 55°
Complementary angles sum to 90°, so 90° − 35° = 55°.
Question 5: What is the area of a triangle with base 10 and height 6?
- 30 (Correct answer)
- 60
- 16
- 32
Correct answer: 30
Area = ½ × base × height = ½ × 10 × 6 = 30.
Question 6: A cube has edge length 4. What is its volume?
- 64 (Correct answer)
- 16
- 48
- 12
Correct answer: 64
Volume of a cube = s³ = 4³ = 64.
Question 7: In a circle, an inscribed angle that subtends a diameter measures what?
- 90° (Correct answer)
- 45°
- 180°
- 60°
Correct answer: 90°
An inscribed angle subtending a diameter is always a right angle.
PSAT/NMSQT Geometry & Measurement 2
A right triangle has legs of length 6 and 8.
What is the length of the hypotenuse?