TSIA2 Geometric and Spatial Reasoning 1 — Questions and Answers
Question 1: What is the area of a triangle with a base of 8 cm and a height of 5 cm?
- 20 cm² (Correct answer)
- 40 cm²
- 13 cm²
- 16 cm²
Correct answer: 20 cm²
The area of a triangle is A = ½ × base × height = ½ × 8 × 5 = 20 cm².
Question 2: A rectangle has a length of 12 cm and a width of 5 cm. What is its perimeter?
- 60 cm
- 34 cm (Correct answer)
- 17 cm
- 24 cm
Correct answer: 34 cm
Perimeter of a rectangle = 2(length + width) = 2(12 + 5) = 2(17) = 34 cm.
Question 3: What is the circumference of a circle with a radius of 7 cm? (Use π ≈ 3.14)
- 43.96 cm (Correct answer)
- 153.86 cm
- 21.98 cm
- 87.92 cm
Correct answer: 43.96 cm
Circumference = 2πr = 2 × 3.14 × 7 = 43.96 cm.
Question 4: Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?
- 25°
- 115° (Correct answer)
- 295°
- 35°
Correct answer: 115°
Supplementary angles sum to 180°, so the other angle = 180° − 65° = 115°.
Question 5: What is the volume of a rectangular prism with length 4, width 3, and height 6?
- 36
- 72 (Correct answer)
- 48
- 108
Correct answer: 72
Volume of a rectangular prism = length × width × height = 4 × 3 × 6 = 72.
Question 6: A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
- 12
- 14
- 10 (Correct answer)
- 11
Correct answer: 10
By the Pythagorean theorem, c² = 6² + 8² = 36 + 64 = 100, so c = 10.
Question 7: What is the area of a circle with a diameter of 10? (Use π ≈ 3.14)
- 314
- 31.4
- 78.5 (Correct answer)
- 62.8
Correct answer: 78.5
The radius is 10 ÷ 2 = 5, so area = πr² = 3.14 × 25 = 78.5.
TSIA2 Geometric and Spatial Reasoning 1
What is the area of a triangle with a base of 8 cm and a height of 5 cm?