WI Forward Mathematics: Geometry and Measurement 1 — Questions and Answers
Question 1: What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?
- 40 cm
- 26 cm (Correct answer)
- 13 cm
- 20 cm
Correct answer: 26 cm
Perimeter of a rectangle = 2(l + w) = 2(8 + 5) = 2(13) = 26 cm.
Question 2: A triangle has two angles measuring 45° and 75°. What is the measure of the third angle?
- 60° (Correct answer)
- 80°
- 45°
- 120°
Correct answer: 60°
The angles of a triangle always sum to 180°, so the third angle = 180° − 45° − 75° = 60°.
Question 3: What is the area of a circle with a radius of 4 cm? (Use π ≈ 3.14)
- 12.56 cm²
- 25.12 cm²
- 50.24 cm² (Correct answer)
- 100.48 cm²
Correct answer: 50.24 cm²
Area of a circle = πr² = 3.14 × 4² = 3.14 × 16 = 50.24 cm².
Question 4: Which of the following is NOT necessarily a property of a parallelogram?
- Opposite sides are equal in length
- All four angles measure 90° (Correct answer)
- Opposite angles are equal
- Opposite sides are parallel
Correct answer: All four angles measure 90°
A parallelogram has opposite sides parallel and equal and opposite angles equal, but its angles do not have to be 90° — that is the specific property of a rectangle.
Question 5: A line segment has endpoints at (2, 3) and (6, 3) on a coordinate plane. What is the length of the segment?
- 2 units
- 4 units (Correct answer)
- 8 units
- 6 units
Correct answer: 4 units
Since both points share the same y-coordinate, the length is simply the difference in x-coordinates: 6 − 2 = 4 units.
Question 6: What is the volume of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 4 cm?
- 60 cm³ (Correct answer)
- 12 cm³
- 47 cm³
- 94 cm³
Correct answer: 60 cm³
Volume of a rectangular prism = length × width × height = 5 × 3 × 4 = 60 cm³.
Question 7: An angle that measures exactly 90° is called a _____ angle.
- Acute
- Obtuse
- Right (Correct answer)
- Straight
Correct answer: Right
A right angle measures exactly 90° and is often marked with a small square in diagrams.
What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?