Class 10 Maths – Important Questions

1. Real Numbers

• Use Euclid’s Division Lemma to find the HCF of two given numbers.
• Prove that √2, √3, or √5 is irrational.
• Find the LCM and HCF of given numbers using prime factorisation.
• Application-based questions on terminating/non-terminating decimals.

2. Polynomials

• Find the zeros of a quadratic/cubic polynomial and verify the relationship between zeros and coefficients.
• Construct a quadratic polynomial whose zeros are given.
• If α and β are the zeros, form a polynomial with (α + β) and (αβ).

3. Pair of Linear Equations in Two Variables

• Solve given pairs using substitution, elimination, or cross-multiplication.
• Word problems on:
  • Speed, distance, time
  • Age problems
  • Money and coins
  • Digit numbers