Grade 10 Mathematics Topics and Solved Examples

10 TopicsWorked ExamplesPractice Questions

All Mathematics Topics

Select a topic to read the concept, follow a fully worked example and try a question yourself.

Topic 1 · Real NumbersEuclid's algorithm uses repeated division to find greatest common divisor.Topic 2 · PolynomialsThe zeros of a polynomial make its value equal to zero.Topic 3 · Pair of Linear EquationsTwo linear equations can be solved by elimination or substitution.Topic 4 · Quadratic EquationsA quadratic equation has highest variable power 2.Topic 5 · Arithmetic ProgressionsAn arithmetic progression has a constant difference between terms.Topic 6 · Triangles and SimilaritySimilar triangles have matching angles and proportional sides.Topic 7 · Coordinate GeometryDistance between (x1,y1) and (x2,y2) uses the Pythagorean theorem.Topic 8 · Introduction to Trigonometrysin θ = opposite/hypotenuse for a right triangle.Topic 9 · Circles and MensurationA tangent touches a circle at one point and is perpendicular to radius there.Topic 10 · Statistics and ProbabilityProbability counts favourable equally likely outcomes.

Learning guide: topics combine common strands from Indian and international curricula; this is not a claim of exact NCERT, CBSE, ICSE or Cambridge board coverage. The Grade 1 course uses its separate 17-week planner.