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Important Questions

Expansions — Important Questions

ICSE · Class 9 · Mathematics

43 important questions from Expansions for ICSE Class 9 Mathematics, with answers. Includes multiple choice and multiple correct questions.

43 questions25 flashcards12 formulas & key relations5 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

Important Questions from Expansions

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

+39 more questions on Expansions (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Expansions for ICSE Class 9 Mathematics?
Key topics in Expansions include Core ideas and identities, Worked verification of the main identity, Reciprocal identities and their use. Study these first, then practise questions on each for Class 9 exams.
How many important questions are there in Expansions?
Super Tutor has 43 practice questions for Expansions, including multiple choice, multiple correct questions. A sample with answers is on this page.

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

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All ICSE Class 9 Mathematics Important Questions

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