Grade 10 · Mathematics Standard

CBSE 2026-27 · Secondary · researched 2026-10-08

Original revision introduction and starter practice. Full learning texts are available through the publisher links below. This guide is not a CBSE-issued solution manual.

Revision introduction

Euclid’s division relation writes a=bq+r with 0≤r<b. The fundamental theorem of arithmetic gives a unique prime factorisation, apart from order. For positive integers a and b, HCF(a,b)×LCM(a,b)=a×b. For a quadratic ax²+bx+c, the sum of its zeros is −b/a and their product is c/a.

Curriculum navigation

  1. Real Numbers
  2. Polynomials
  3. Pair of Linear Equations in Two Variables
  4. Quadratic Equations
  5. Arithmetic Progressions
  6. Triangles
  7. Coordinate Geometry
  8. Introduction to Trigonometry
  9. Some Applications of Trigonometry
  10. Circles
  11. Areas Related to Circles
  12. Surface Areas and Volumes
  13. Statistics
  14. Probability

Consult the current official syllabus for examinable sections, project-only content, practicals, prescribed texts and exclusions. A unit index does not override those boundaries.

Original practice

What is the HCF of 36 and 60?

  1. 12
  2. 6
  3. 18
  4. 180

Worked answer

12

36=2²×3² and 60=2²×3×5; the common prime powers give 2²×3=12.

Full publisher materials and answer resources