BKSB Shape, Space, and Measure 3 — Questions and Answers
Question 1: What type of angle is 135°?
- Acute
- Right
- Obtuse (Correct answer)
- Reflex
Correct answer: Obtuse
An obtuse angle measures between 90° and 180°, so 135° is obtuse.
Question 2: A cylinder has a radius of 3 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)
- 282.6 cm³ (Correct answer)
- 94.2 cm³
- 188.4 cm³
- 565.2 cm³
Correct answer: 282.6 cm³
Volume = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.
Question 3: How many lines of symmetry does a regular hexagon have?
- 3
- 4
- 6 (Correct answer)
- 8
Correct answer: 6
A regular hexagon has 6 lines of symmetry — one through each pair of opposite vertices and one through each pair of opposite edge midpoints.
Question 4: Convert 2.5 km into meters.
- 25 m
- 250 m
- 2,500 m (Correct answer)
- 25,000 m
Correct answer: 2,500 m
1 km = 1,000 m, so 2.5 km = 2,500 m.
Question 5: A path goes 3 miles north, then 4 miles east. How far is the endpoint from the start in a straight line?
- 5 miles (Correct answer)
- 7 miles
- 6 miles
- 3.5 miles
Correct answer: 5 miles
Using the Pythagorean theorem: √(3² + 4²) = √(9 + 16) = √25 = 5 miles.
Question 6: Which of the following is NOT a property of a parallelogram?
- Opposite sides are equal
- Opposite angles are equal
- All angles are 90° (Correct answer)
- Diagonals bisect each other
Correct answer: All angles are 90°
Parallelograms do not necessarily have 90° angles — that is a property of rectangles specifically.
Question 7: What is the circumference of a circle with a diameter of 10 cm? (Use π ≈ 3.14)
- 31.4 cm (Correct answer)
- 15.7 cm
- 78.5 cm
- 62.8 cm
Correct answer: 31.4 cm
Circumference = π × diameter = 3.14 × 10 = 31.4 cm.
BKSB Shape, Space, and Measure 3
What type of angle is 135°?