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Class 9 Mathematics: Non-Rationalised NCERT Solutions

Master the complete, unabridged Class 9 NCERT Mathematics curriculum. Our non-rationalised solutions cover all 15 traditional chapters in exhaustive detail, providing the rigorous practice needed for competitive exams and a strong Class 10 foundation.

Complete Chapter-Wise Solutions (Full Syllabus)

  • Chapter 1: Number Systems

    Rational and irrational numbers, real numbers, and laws of exponents for real numbers.

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  • Chapter 2: Polynomials

    Remainder theorem, factor theorem, and algebraic identities of polynomials.

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  • Chapter 3: Coordinate Geometry

    The Cartesian plane, coordinates of a point, and plotting points on a graph.

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  • Chapter 4: Linear Equations In Two Variables

    Solving linear equations and their graphical representation on the coordinate plane.

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  • Chapter 5: Introduction To Euclid’s Geometry

    Euclid’s definitions, axioms, postulates, and equivalent versions of the fifth postulate.

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  • Chapter 6: Lines And Angles

    Pairs of angles, parallel lines, transversals, and angle sum properties of triangles.

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  • Chapter 7: Triangles

    Criteria for congruence: SAS, ASA, SSS, and RHS; and inequalities in triangles.

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  • Chapter 8: Quadrilaterals

    Properties of parallelograms and the comprehensive Mid-point Theorem.

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  • Chapter 9: Areas Of Parallelograms And Triangles

    Figures on the same base and between the same parallels.

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  • Chapter 10: Circles

    Chords, arcs, angles subtended by arcs, and properties of cyclic quadrilaterals.

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  • Chapter 11: Constructions

    Basic constructions, bisectors, and constructing triangles with given parameters.

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  • Chapter 12: Heron’s Formula

    Calculating the area of triangles and quadrilaterals using Heron's formula.

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  • Chapter 13: Surface Areas And Volumes

    Calculations for cubes, cuboids, cylinders, cones, and spheres.

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  • Chapter 14: Statistics

    Data presentation, frequency distribution, and measures of central tendency.

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  • Chapter 15: Probability

    Experimental and theoretical approach to calculating the chance of events.

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