📐

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 roots of x² − 4 = 0 are:

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

    Answer: ±2

  2. The value of log₁₀ 100 is:

    • 1
    • 2
    • 10
    • 100
    Show answer

    Answer: 2

  3. The value of sin 30° is:

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

    Answer: 1/2

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

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

    Answer: n(n+1)/2

Practise more questions →

Practice Questions

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

Start Practice →

Frequently Asked Questions

What are the key concepts in Mathematics — Stream SA for KVPY?

Algebra: quadratics, sequences and series; Trigonometry and its identities; Coordinate geometry of lines and circles; Introductory calculus: limits and derivatives.

Which formulae are important for Mathematics — Stream SA in KVPY?

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.

How can I practise KVPY Mathematics — Stream SA questions for free?

Practise free KVPY Mathematics — Stream SA questions with instant answers and explanations on Safe Learning for Kids — no sign-up required.

Mathematics