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Calculus & Statistics

Limits, derivatives, integrals, probability, and mathematical induction

Sample Practice Questions

  1. The value of lim(x→0) (sin x)/x is:

    • 0
    • 1
    • ∞
    • Undefined
    Show answer

    Answer: 1

  2. The indefinite integral ∫ 1 dx is:

    • 1 + C
    • x + C
    • 0
    • x²/2 + C
    Show answer

    Answer: x + C

  3. The derivative of x² with respect to x is:

    • 2x
    • x
    • x²/2
    • 2
    Show answer

    Answer: 2x

  4. The slope of the line y = 3x + 1 is:

    • 1
    • 3
    • −3
    • 1/3
    Show answer

    Answer: 3

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Frequently Asked Questions

What does Calculus & Statistics cover in the IMO exam?

Limits, derivatives, integrals, probability, and mathematical induction.

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