MPT Geometry 1 — Questions and Answers
Question 1: What is the area of a triangle with base 10 and height 6?
- 60
- 30 (Correct answer)
- 16
- 120
Correct answer: 30
Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30.
Question 2: A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?
- 13 (Correct answer)
- 17
- 7
- 60
Correct answer: 13
By the Pythagorean theorem, c² = 5² + 12² = 25 + 144 = 169, so c = 13.
Question 3: What is the circumference of a circle with radius 7? (Use π ≈ 3.14)
- 43.96 (Correct answer)
- 153.86
- 21.98
- 87.92
Correct answer: 43.96
Circumference = 2πr = 2 × 3.14 × 7 = 43.96.
Question 4: Two angles of a triangle measure 45° and 75°. What is the measure of the third angle?
- 60° (Correct answer)
- 80°
- 70°
- 50°
Correct answer: 60°
The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 75° = 60°.
Question 5: What is the area of a circle with diameter 10? (Use π ≈ 3.14)
- 314
- 78.5 (Correct answer)
- 31.4
- 157
Correct answer: 78.5
Radius = 5, so area = πr² = 3.14 × 25 = 78.5.
Question 6: A rectangle has a length of 9 and a width of 4. What is its perimeter?
- 36
- 26 (Correct answer)
- 13
- 72
Correct answer: 26
Perimeter = 2(length + width) = 2(9 + 4) = 2 × 13 = 26.
Question 7: What is the volume of a rectangular prism with length 5, width 3, and height 4?
- 47
- 60 (Correct answer)
- 24
- 94
Correct answer: 60
Volume = length × width × height = 5 × 3 × 4 = 60.
MPT Geometry 1
What is the area of a triangle with base 10 and height 6?