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Understanding shape

ICSE · Class 8 · Mathematics

Practice quiz for Understanding shape — ICSE Class 8 Mathematics. MCQs and questions with answers to test your preparation.

63 questions28 flashcards5 concepts

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Quick Quiz: Understanding shape

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1

A regular polygon has each exterior angle equal to 24°. Find the number of sides.

2

The sum of interior angles of a regular polygon is 2160°. Find the number of sides.

3

A seven-sided polygon has one interior angle of 114° and the other six interior angles equal. Find each equal angle.

4

A regular polygon has each interior angle 144°. Find its number of sides and identify the polygon.

63 Questions·
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Sample Questions

1multiple choice
3 marks

The sum of the interior angles of a regular polygon is six times its sum of exterior angles. Find the number of sides.

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14

Sum of interior angles = (n - 2) × 180°. Sum of exterior angles = 360°. Given: (n - 2) × 180° = 6 × 360°. So, (n - 2) × 180° = 2160°. Divide by 180°: n - 2 = 12. Therefore, n = 14. The correct answer is 14.

2multiple choice
3 marks

An exterior angle and an interior angle of a regular polygon are in the ratio 2:7. Find the number of sides.

Show answer

9

Let exterior angle = 2x and interior angle = 7x. At a vertex, exterior angle + interior angle = 180°. So, 2x + 7x = 180°. Thus, 9x = 180° and x = 20°. Exterior angle = 2x = 40°. Number of sides = 360° / 40° = 9. The correct answer is 9.

3multiple choice
3 marks

In a pentagon, the exterior angles are 24°, 48°, 72°, 96°, and 120°. Find the sum of the exterior angles and verify the polygon rule.

Show answer

360°

Add the five exterior angles: 24° + 48° + 72° + 96° + 120°. First, 24 + 48 = 72. Then 72 + 72 = 144. Then 144 + 96 = 240. Then 240 + 120 = 360. The sum is 360°. The correct answer is 360°.

4multiple choice
3 marks

A polygon has 8 sides. Find the number of triangles formed by drawing diagonals from one vertex and then use it to find the sum of interior angles.

Show answer

6 triangles, 1080°

For an n-sided polygon, the number of triangles formed from one vertex is n - 2. Here n = 8, so triangles = 8 - 2 = 6. Each triangle has angle sum 180°. So total interior angle sum = 6 × 180° = 1080°. The correct answer is 6 triangles, 1080°.

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What are the important topics in Understanding shape for ICSE Class 8 Mathematics?
Understanding shape covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Understanding shape — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 63 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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