Chapter 11 · Class 8 ICSE · MCQ Test
Polygons MCQ Test — Class 8 ICSE
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Polygons — MCQ Questions
1What is the sum of interior angles of a quadrilateral?
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Answer: 360°
Hint: Use the formula (n - 2) × 180° where n is the number of sides.
Solution:
A quadrilateral has 4 sides, so n = 4.
Sum of interior angles: — (n - 2) × 180° = (4 - 2) × 180° = 2 × 180° = 360°
2A polygon with 5 sides is called a:
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Answer: Pentagon
Hint: 'Penta' means five in Greek.
Solution:
Polygons are named by their number of sides:
5 sides = Pentagon, 6 sides = Hexagon, 7 sides = Heptagon, 8 sides = Octagon.
3A regular polygon has:
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Answer: All sides and all angles equal
Hint: 'Regular' means everything is equal — both sides and angles.
Solution:
A regular polygon has all sides of equal length AND all interior angles of equal measure.
Examples: equilateral triangle, square, regular pentagon, regular hexagon.
4What is the sum of exterior angles of any convex polygon?
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Answer: 360°
Hint: This is the same for every convex polygon, no matter how many sides it has.
Solution:
The sum of exterior angles of any convex polygon is always 360°.
This is because if you walk along the perimeter making each exterior turn, you complete one full rotation (360°).
5How many sides does a hexagon have?
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Answer: 6
Hint: 'Hexa' means six.
Solution:
A hexagon has 6 sides.
The prefix 'hexa' comes from Greek and means six. Honeycomb cells are hexagons!
6What is the sum of interior angles of a triangle?
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Answer: 180°
Hint: A triangle is the simplest polygon with 3 sides. Use the angle sum formula.
Solution:
A triangle has 3 sides, so n = 3.
Sum of interior angles: — (n - 2) × 180° = (3 - 2) × 180° = 1 × 180° = 180°
7Each interior angle of a regular hexagon is:
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Answer: 120°
Hint: First find the total angle sum for a hexagon, then divide by the number of angles.
Solution:
Sum of interior angles of a hexagon: — (6 - 2) × 180° = 720°
Each interior angle of a regular hexagon: — 720° ÷ 6 = 120°
8A polygon in which all interior angles are less than 180° is called:
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Answer: Convex polygon
Hint: Think of 'convex' as bulging outward — no dents or caves.
Solution:
A convex polygon has all interior angles less than 180°.
A concave polygon has at least one interior angle greater than 180° (a reflex angle), creating a 'dent' in the shape.
9What is the minimum number of sides a polygon can have?
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Answer: 3
Hint: The simplest polygon is the one with the fewest sides that can still enclose an area.
Solution:
A polygon must have at least 3 sides to form a closed figure.
The polygon with 3 sides is a triangle — the simplest polygon.
10Each exterior angle of a regular hexagon is:
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Answer: 60°
Hint: Each exterior angle of a regular polygon = 360° ÷ number of sides.
Solution:
For a regular polygon, each exterior angle: — 360° ÷ n
For a regular hexagon (n = 6): — 360° ÷ 6 = 60°
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Tips for Polygons MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Polygons MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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