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Advanced Maths

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

Sample Practice Questions

  1. What is the area under the curve y = x² from x=0 to x=3?

    • 3
    • 6
    • 9
    • 27
    Show answer

    Answer: 9

  2. What is the Poisson distribution used for?

    • Modelling binary outcomes
    • Modelling rare events in a fixed interval
    • Modelling normally distributed data
    • Modelling uniform data
    Show answer

    Answer: Modelling rare events in a fixed interval

  3. What is the chain rule for differentiation?

    • f'(x) + g'(x)
    • f'(x) × g'(x)
    • d/dx[f(g(x))] = f'(g(x)) × g'(x)
    • f(x) × g(x)
    Show answer

    Answer: d/dx[f(g(x))] = f'(g(x)) × g'(x)

  4. What is the derivative of sin x?

    • −sin x
    • cos x
    • −cos x
    • tan x
    Show answer

    Answer: cos x

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Practice Questions

Practise NSTSE questions on Advanced Maths. Answers are revealed after each question.

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