Mathematics

Mathematics — Class 10

CBSE (Indian Curriculum) · Ages 15-16

CBSE Class 10 Mathematics is a board examination subject offered at two levels — Standard and Basic. Standard is required for anyone intending to take Mathematics in Classes 11 and 12, so the choice made here closes or keeps open the science and commerce streams.

Content covers real numbers, polynomials, pairs of linear equations, quadratic equations, arithmetic progressions, coordinate geometry, triangles and circles with formal proof, introduction to trigonometry and its applications, surface areas and volumes, statistics and probability.

The board paper rewards presentation as much as method — full working, correct construction lines and properly stated theorems all carry marks that are routinely dropped.

Key topics covered

• Real Numbers & Polynomials — Euclid's division lemma, HCF and LCM, zeroes and the division algorithm.
• Linear & Quadratic Equations — Pairs of linear equations, quadratic formula, discriminant and roots.
• Arithmetic Progressions — nth term, sum of n terms and applied AP problems.
• Coordinate Geometry — Distance formula, section formula and area of a triangle.
• Triangles & Circles — Similarity, Pythagoras, tangents and formal geometric proof.
• Trigonometry — Ratios, identities, and heights and distances applications.
• Mensuration, Statistics & Probability — Surface area and volume, mean, median, mode and probability.