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Important Questions

Identities

ICSE · Class 8 · Mathematics

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

75 questions28 flashcards5 concepts

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75 Questions·
multiple choicetrue falsemultiple correct

Sample Questions

1multiple choice
3 marks

If a + b = 8 and ab = 15, find a^2 + b^2.

Show answer

34

Use (a + b)^2 = a^2 + b^2 + 2ab. Given a + b = 8 and ab = 15. 8^2 = a^2 + b^2 + 2×15 64 = a^2 + b^2 + 30 So, a^2 + b^2 = 64 - 30 = 34.

2multiple choice
3 marks

If a - b = 3 and a^2 + b^2 = 29, find ab.

Show answer

10

Use (a - b)^2 = a^2 + b^2 - 2ab. Given a - b = 3 and a^2 + b^2 = 29. 3^2 = 29 - 2ab 9 = 29 - 2ab 2ab = 20 ab = 10.

3multiple choice
3 marks

If a + b + c = 9 and a^2 + b^2 + c^2 = 29, find ab + bc + ca.

Show answer

26

Use (a + b + c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca). Given a + b + c = 9 and a^2 + b^2 + c^2 = 29. 9^2 = 29 + 2(ab + bc + ca) 81 = 29 + 2(ab + bc + ca) 52 = 2(ab + bc + ca) ab + bc + ca = 26.

4multiple choice
3 marks

If a + b = 5 and ab = 6, find a^3 + b^3.

Show answer

35

Use a^3 + b^3 = (a + b)^3 - 3ab(a + b). Given a + b = 5 and ab = 6. So, a^3 + b^3 = 5^3 - 3×6×5 = 125 - 90 = 35.

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Frequently Asked Questions

What are the important topics in Identities for ICSE Class 8 Mathematics?
Identities 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 Identities — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 75 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 Identities?
There are 75 practice questions available for Identities. 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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