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Advanced Maths

Calculus (limits, derivatives, integration), vectors, 3D geometry, and probability

Sample Practice Questions

  1. What is the quotient rule of differentiation?

    • (u/v)' = u'/v'
    • (u/v)' = (u'v + uv')/v²
    • (u/v)' = (u'v − uv')/v²
    • (u/v)' = u'v − uv'
    Show answer

    Answer: (u/v)' = (u'v − uv')/v²

  2. A function is increasing where?

    • f(x) > 0
    • f'(x) = 0
    • f'(x) > 0
    • f''(x) > 0
    Show answer

    Answer: f'(x) > 0

  3. What is the unit vector in direction of (3,4)?

    • (3,4)
    • (3/7, 4/7)
    • (3/5, 4/5)
    • (0.6, 0.8) and (3/5, 4/5)
    Show answer

    Answer: (3/5, 4/5)

  4. What is the eccentricity of a circle?

    • 0
    • 1
    • 0.5
    • ∞
    Show answer

    Answer: 0

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Practice Questions

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What does Advanced Maths cover in the NSTSE exam?

Calculus (limits, derivatives, integration), vectors, 3D geometry, and probability.

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