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Algebra

Linear and quadratic equations, polynomials, arithmetic progressions

Sample Practice Questions

  1. Factorize: x² − 9

    • (x+3)²
    • (x−3)²
    • (x+3)(x−3)
    • (x+9)(x−1)
    Show answer

    Answer: (x+3)(x−3)

  2. The sum of the roots of ax² + bx + c = 0 is:

    • b/a
    • −b/a
    • c/a
    • −c/a
    Show answer

    Answer: −b/a

  3. How many terms are in the AP: 5, 11, 17, …, 95?

    • 14
    • 15
    • 16
    • 17
    Show answer

    Answer: 16

  4. An arithmetic progression has first term 3 and common difference 4. The 10th term is:

    • 35
    • 39
    • 43
    • 40
    Show answer

    Answer: 39

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Practice Questions

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Frequently Asked Questions

What does Algebra cover in the NTSE exam?

Linear and quadratic equations, polynomials, arithmetic progressions.

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Other NTSE sections

Verbal Analogies Identify the relationship between word pairs and apply it to find the missing word Verbal Series Completion Find the missing word or letter group that continues the given series Non-Verbal Figure Classification Identify the odd figure or group that does not belong with the others Non-Verbal Pattern Completion Determine which figure completes the missing piece of a matrix or series Number Patterns & Series Find the missing number in sequences based on arithmetic, geometric, or mixed rules Arithmetic Reasoning Solve word problems using ratios, percentages, profit & loss, and time-speed-distance
SAT Topics