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Important Questions

Expansions

ICSE · Class 9 · Mathematics

Most important questions from Expansions for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

43 questions25 flashcards5 concepts

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A geometric representation showing how (a+b)² expands to a² + 2ab + b² using areas of squares and rectangles.
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43 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are correct expansions? (Select all correct answers)

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(a + 7)² = a² + 14a + 49, (3m - 2)² = 9m² - 12m + 4, (5 - n)² = 25 - 10n + n²

Correct: (a + 7)² = a² + 14a + 49 ✓, (3m - 2)² = 9m² - 12m + 4 ✓, (5 - n)² = 25 - 10n + n² ✓. Incorrect: (p + q)² should include 2pq term, (x - 1)² should be x² - 2x + 1

2multiple choice

Find the value of (9)² using expansion

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81

Write 9 = 10 - 1, then (9)² = (10 - 1)² = 10² - 2(10)(1) + 1² = 100 - 20 + 1 = 81

3multiple choice

What is the middle term coefficient in the expansion of (x + 5)²?

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10

(x + 5)² = x² + 10x + 25. The middle term is 10x, so the coefficient is 10. Using the formula 2ab where a = x, b = 5: 2(1)(5) = 10

4multiple correct

Which expressions can be written as perfect squares? (Select all correct answers)

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x² + 8x + 16, y² - 6y + 9, m² - 10m + 25

Perfect squares: x² + 8x + 16 = (x + 4)², y² - 6y + 9 = (y - 3)², m² - 10m + 25 = (m - 5)². For perfect squares, check if b² = 4ac pattern holds

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Frequently Asked Questions

What are the important topics in Expansions for ICSE Class 9 Mathematics?
Expansions covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Expansions — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 43 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 Expansions?
There are 43 practice questions available for Expansions. These cover multiple question types including MCQs, short answer, and long answer questions.

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

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