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Algebra

Tamil Nadu Board · Class 9 · Mathematics

Most important questions from Algebra for Tamil Nadu Board Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

45 questions25 flashcards5 concepts

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45 Questions·
multiple choice

Sample Questions

1multiple choice
1 marks

By the Remainder Theorem, what is the remainder when p(x) = x³ + 3x² + 3x + 1 is divided by (x + 1)?

2multiple choice
1 marks

If (x - 2) is a factor of p(x) = x² - 5x + k, what is the value of k?

Show answer

6

Step 1: By Factor Theorem, if (x - 2) is a factor of p(x), then p(2) = 0. Step 2: Substitute x = 2 in p(x): p(2) = (2)² - 5(2) + k = 0. Step 3: = 4 - 10 + k = 0. Step 4: -6 + k = 0, so k = 6. Step 5: Verify: p(2) = 4 - 10 + 6 = 0. ✓ The value of k is 6.

3multiple choice
1 marks

Expand (3x + 4y)² using the identity (a + b)² = a² + 2ab + b².

Show answer

9x² + 24xy + 16y²

Step 1: Use identity (a + b)² = a² + 2ab + b² with a = 3x and b = 4y. Step 2: a² = (3x)² = 9x². Step 3: 2ab = 2 × 3x × 4y = 24xy. Step 4: b² = (4y)² = 16y². Step 5: So (3x + 4y)² = 9x² + 24xy + 16y². Common mistake: forgetting the middle term 2ab or computing 2×3×4 = 12 instead of 24.

4multiple choice
1 marks

What is the value of (102)² using the identity (a + b)² = a² + 2ab + b²?

Show answer

10404

Step 1: Write 102 = 100 + 2. Use (a + b)² = a² + 2ab + b² with a = 100, b = 2. Step 2: a² = 100² = 10000. Step 3: 2ab = 2 × 100 × 2 = 400. Step 4: b² = 2² = 4. Step 5: (102)² = 10000 + 400 + 4 = 10404.

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Frequently Asked Questions

What are the important topics in Algebra for Tamil Nadu Board Class 9 Mathematics?
Key topics in Algebra include Mind map showing the relationship between algebra components, from basic variables and constants to complex polynomial expressions, Flowchart showing classification of polynomials based on degree and their graphical representations, Pie chart showing the relative frequency of polynomial types based on number of terms in algebraic expressions. These are the concepts Tamil Nadu Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Algebra — Tamil Nadu Board Class 9 Mathematics?
Understand the core concepts first, then work through the 45 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 Algebra?
There are 45 practice questions available for Algebra. 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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