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Mathematics — Stream SA

Algebra, trigonometry, co-ordinate geometry, and introductory calculus for Class 11

Key Concepts
  • Algebra: quadratics, sequences and series
  • Trigonometry and its identities
  • Coordinate geometry of lines and circles
  • Introductory calculus: limits and derivatives
Important Formulae
Quadratic roots x = (−b ± √(b²−4ac))/2a
AP sum S_n = n/2 [2a + (n−1)d]
Derivative (power rule) d/dx(xⁿ) = n·xⁿ⁻¹
Quick Tips
  • KVPY maths is reasoning-heavy — practise unfamiliar problems.
  • Sketch a graph; it often reveals the answer faster than algebra.
Sample Practice Questions

  1. The value of sin 30° is:

    • 1/2
    • √3/2
    • 1
    • 0
    Show answer

    Answer: 1/2

  2. The sum 1 + 2 + 3 + … + n equals:

    • n²
    • n(n+1)/2
    • n(n−1)/2
    • 2n
    Show answer

    Answer: n(n+1)/2

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

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

    Answer: 2x

  4. The roots of x² − 4 = 0 are:

    • 2
    • ±2
    • 4
    • ±4
    Show answer

    Answer: ±2

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Practice Questions

Practise KVPY questions on Mathematics — Stream SA. Answers are revealed after each question.

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Mathematics