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Important Questions

Constructions (Using Ruler and Compass only)

ICSE · Class 8 · Mathematics

Most important questions from Constructions (Using Ruler and Compass only) for ICSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

104 questions40 flashcards5 concepts

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104 Questions·
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Sample Questions

1multiple choice
3 marks

A line is to be constructed parallel to a given line at a fixed distance. If the distance is 3.6 cm, what is the radius used in the arc from point P to locate point R?

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3.6 cm

The construction for a line parallel to a given line at a given distance uses an arc with radius equal to the given distance. Here the distance is 3.6 cm, so the radius is 3.6 cm.

2multiple choice
3 marks

A rectangle is to be constructed when one side AB = 4.8 cm and diagonal AC = 6.2 cm. After drawing AB and the right angle at B, what arc radius is used from A to cut BP at C?

Show answer

6.2 cm

The point C lies on the arc centered at A with radius equal to the diagonal AC. Since AC = 6.2 cm, the arc radius from A must be 6.2 cm.

3multiple choice
3 marks

A rhombus is to be constructed when one side AB = 5 cm and diagonal AC = 7 cm. What radius is used from A and B to locate point C?

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7 cm from A and 5 cm from B

To find C, one arc is drawn with A as centre and radius AC = 7 cm. Another arc is drawn with B as centre and radius AB = 5 cm. Their intersection gives C.

4multiple choice
3 marks

A quadrilateral ABCD is to be constructed when four sides and one diagonal are given. If AB = 4 cm, BC = 3.8 cm, CD = 3.5 cm, AD = 4.2 cm, and AC = 5.5 cm, what lengths are used to locate point C from A and B?

Show answer

5.5 cm from A and 3.8 cm from B

To locate C, an arc of radius AC is drawn from A and an arc of radius BC is drawn from B. Here AC = 5.5 cm and BC = 3.8 cm, so those are the needed lengths.

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Frequently Asked Questions

What are the important topics in Constructions (Using Ruler and Compass only) for ICSE Class 8 Mathematics?
Constructions (Using Ruler and Compass only) 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 Constructions (Using Ruler and Compass only) — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 104 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 Constructions (Using Ruler and Compass only)?
There are 104 practice questions available for Constructions (Using Ruler and Compass only). 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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