THEA THEA Geometry & Data Analysis 1 — Questions and Answers
Question 1: What is the area of a rectangle with a length of 12 cm and a width of 8 cm?
- 40 cm²
- 80 cm²
- 96 cm² (Correct answer)
- 120 cm²
Correct answer: 96 cm²
Area of a rectangle = length × width = 12 × 8 = 96 cm².
Question 2: The perimeter of a square is 36 inches. What is the length of one side?
- 6 inches
- 9 inches (Correct answer)
- 12 inches
- 18 inches
Correct answer: 9 inches
A square has 4 equal sides; 36 ÷ 4 = 9 inches per side.
Question 3: What is the area of a triangle with a base of 10 m and a height of 6 m?
- 30 m² (Correct answer)
- 60 m²
- 15 m²
- 36 m²
Correct answer: 30 m²
Area of a triangle = ½ × base × height = ½ × 10 × 6 = 30 m².
Question 4: A circle has a radius of 7 cm. What is its approximate area? (Use π ≈ 3.14)
- 43.96 cm²
- 153.86 cm² (Correct answer)
- 21.98 cm²
- 307.72 cm²
Correct answer: 153.86 cm²
Area = π × r² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 cm².
Question 5: Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?
- 25°
- 35°
- 115° (Correct answer)
- 125°
Correct answer: 115°
Supplementary angles add up to 180°; 180° - 65° = 115°.
Question 6: What is the volume of a rectangular prism with length 5 cm, width 4 cm, and height 3 cm?
- 47 cm³
- 60 cm³ (Correct answer)
- 120 cm³
- 94 cm³
Correct answer: 60 cm³
Volume of a rectangular prism = l × w × h = 5 × 4 × 3 = 60 cm³.
What is the area of a rectangle with a length of 12 cm and a width of 8 cm?