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Important Questions

Understanding shape

ICSE · Class 8 · Mathematics

Most important questions from Understanding shape for ICSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

63 questions28 flashcards5 concepts

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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.

Show answer

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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Frequently Asked Questions

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.
How many important questions are there in Understanding shape?
There are 63 practice questions available for Understanding shape. These cover multiple question types including MCQs, short answer, and long answer questions.

Sources & Official References

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

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