Geometry – Understanding Shapes Quiz - ICSE Class 8 Mathematics
Free practice quiz: Geometry – Understanding Shapes (ICSE Class 8 Mathematics). 49 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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The perimeter of a square is 48 cm. What is its area?
- 144 cm²
- 12 cm²
- 576 cm²
- 24 cm²
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Answer: A. 144 cm²
Perimeter of a square = 4 * side. So, 4 * side = 48 cm. Side = 48 cm / 4 = 12 cm. Area of a square = side * side = 12 cm * 12 cm = 144 cm².
A square has a diagonal of length 10√2 cm. What is its area?
- 50 cm²
- 100 cm²
- 200 cm²
- 25√2 cm²
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Answer: B. 100 cm²
In a square, if the side is 's', the diagonal is s√2. So, s√2 = 10√2 cm. This means s = 10 cm. The area of the square is s² = (10 cm)² = 100 cm².
Which of the following statements is true for a trapezoid?
- Exactly one pair of opposite sides are parallel.
- Both pairs of opposite sides are parallel.
- All sides are equal in length.
- All angles are equal.
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Answer: A. Exactly one pair of opposite sides are parallel.
A trapezoid is defined as a quadrilateral with exactly one pair of parallel sides. A parallelogram has both pairs parallel.
A regular pentagon has an interior angle of 108°. What is the measure of each exterior angle?
- 72°
- 108°
- 180°
- 60°
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Answer: A. 72°
An interior angle and its corresponding exterior angle form a linear pair (add up to 180°). So, Exterior angle = 180° - Interior angle = 180° - 108° = 72°.
What is the net of a cube?
- A single square.
- A rectangle divided into 6 equal squares.
- A shape formed by 6 squares joined edge-to-edge.
- A circle divided into sectors.
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Answer: C. A shape formed by 6 squares joined edge-to-edge.
A net of a 3D shape is a 2D pattern that can be folded to form the shape. The net of a cube consists of 6 squares arranged in a way that they can be folded into a cube.