Mathematics Revision Checklist
Everything to revise for BSE Telangana Class 10 Mathematics — all chapters with key topics and formulas, sorted by how many marks they carry in the public exam.
Algebra — High Weight
High- Real Numbers: Euclid's lemma, prime factorisation, prove √2, √3 irrational
- Polynomials: zeros from graph, sum/product of zeros, division algorithm
- Pair of Linear Equations: graphical method, substitution, elimination, cross-multiplication
- Quadratic Equations: factorisation, completing square, quadratic formula, discriminant
- Arithmetic Progressions: nth term, sum of n terms, application problems
Geometry — High Weight
High- Similar Triangles: Basic Proportionality Theorem (proof), AA/SSS/SAS similarity, area ratio
- Circles: tangent properties, number of tangents, tangent-radius angle, equal tangents from external point
- Constructions: divide segment in ratio, tangent to circle from external point
- Coordinate Geometry: distance formula, section formula, midpoint, area of triangle
Trigonometry — High Weight
High- Trigonometric Ratios: sin, cos, tan, cosec, sec, cot — definitions and values at 0°, 30°, 45°, 60°, 90°
- Trigonometric Identities: sin²θ + cos²θ = 1 and its two derived forms — prove and apply
- Applications: angle of elevation, angle of depression — 2-step word problems
Mensuration — Medium Weight
Medium- Cylinder: CSA, TSA, volume
- Cone: CSA, TSA, volume, slant height
- Sphere and Hemisphere: SA and volume
- Combination of solids: cone on cylinder, hemisphere on cylinder
- Sector and segment area: formula with angle in degrees
Statistics & Probability — Medium Weight
Medium- Mean: direct method, assumed mean, step-deviation method
- Median: locate median class, apply formula with cumulative frequency
- Mode: identify modal class and apply mode formula
- Probability: sample space, event, P(E) formula, complementary events