Odisha BSE HSC Mathematics study guide
Odisha BSE HSC Mathematics · Work through your exam, one topic at a time.
The Annual High School Certificate (HSC) Examination is the Class X school-leaving examination conducted by the Board of Secondary Education, Odisha, a body corporate constituted under the Odisha Secondary Education Act, 1953. Mathematics is one of the subjects in the HSC curriculum. The Odisha BSE HSC Mathematics study guide has 6 sections and about 2,070 words.
01Number System and Real Numbers: Euclid's Lemma, HCF–LCM and Decimal Expansions
This unit tests Euclid's division lemma, the Fundamental Theorem of Arithmetic, HCF and LCM by prime factorisation, irrationality proofs and the terminating/recurring nature of decimal expansions. Expect short 1–2 mark items plus one 3-mark application.
325 words, about 2 min02Algebra: Polynomials, Linear and Quadratic Equations, AP and Surds
Algebra carries the largest weight in the Odisha BSE HSC paper: zeros of polynomials and their coefficient relations, consistency of linear pairs, solving quadratics by factorisation or formula, arithmetic progressions and surd simplification. For ax² + bx + c with zeros α, β: α + β = −b/a and αβ = c/a.
355 words, about 2 min03Geometry: Similar Triangles, Circle Theorems and Constructions
Geometry questions come from the Basic Proportionality Theorem and similarity criteria, area ratios for similar triangles, tangent and chord circle theorems, and ruler–compass constructions. Proofs carry step marks, so every statement needs a reason.
398 words, about 2 min04Trigonometry: Ratios, Identities and Heights and Distances
This domain tests the six trigonometric ratios, the standard-angle table (0°, 30°, 45°, 60°, 90°), identities, complementary-angle relations and one- or two-triangle problems on heights and distances. sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse, tan θ = opposite/adjacent = sin θ/cos θ; cosec, sec and cot are the reciprocals.
345 words, about 2 min05Mensuration: Surface Areas, Volumes and Areas Related to Circles
Mensuration items combine solids (cylinder, cone, sphere, hemisphere, frustum) with circle parts (sector, segment) and often involve conversion of units or a solid recast into another shape. Cylinder: CSA = 2πrh, TSA = 2πr(r + h), V = πr²h.
284 words, about 1 min06Statistics and Probability: Mean, Median, Mode and Classical Probability
The final domain covers the three measures of central tendency for grouped data - mean by direct, assumed-mean and step-deviation methods, median and mode from frequency tables - plus classical probability on coins, dice and playing cards. Mean (direct): x̄ = Σfx/Σf.
363 words, about 2 min