IMSA Geometry and Spatial Reasoning 1 — Questions and Answers
Question 1: What is the area of a triangle with base 10 and height 6?
- 30 (Correct answer)
- 60
- 20
- 15
Correct answer: 30
Area of a triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30.
Question 2: A rectangle has a perimeter of 36 cm and a width of 6 cm. What is its length?
- 12 cm (Correct answer)
- 18 cm
- 9 cm
- 24 cm
Correct answer: 12 cm
Perimeter = 2(l + w), so 36 = 2(l + 6), giving l = 12 cm.
Question 3: How many degrees are in the interior angles of a hexagon?
- 720° (Correct answer)
- 540°
- 900°
- 1080°
Correct answer: 720°
The sum of interior angles of an n-gon is (n-2) × 180°; for a hexagon: (6-2) × 180° = 720°.
Question 4: What is the circumference of a circle with radius 7? (Use π ≈ 3.14)
- 43.96 (Correct answer)
- 153.86
- 21.98
- 44
Correct answer: 43.96
Circumference = 2πr = 2 × 3.14 × 7 = 43.96.
Question 5: Two angles are supplementary. One angle measures 65°. What is the other?
- 115° (Correct answer)
- 25°
- 90°
- 295°
Correct answer: 115°
Supplementary angles sum to 180°, so the other angle is 180° - 65° = 115°.
Question 6: What is the volume of a rectangular prism with length 5, width 4, and height 3?
- 60 (Correct answer)
- 47
- 24
- 120
Correct answer: 60
Volume = length × width × height = 5 × 4 × 3 = 60.
IMSA Geometry and Spatial Reasoning 1
What is the area of a triangle with base 10 and height 6?