Andhra Pradesh (BIEAP)Class 9Subject library

Andhra Pradesh (BIEAP) Class 9 Mathematics

Chapter-wise notes, previous year papers, sample papers and Q&A for Andhra Pradesh (BIEAP) Class 9 mathematics — free, syllabus-aligned, exam-ready.

13 chapters~172 min read totalFree · printable

Chapters

13 chapters — sequenced for revision and exam prep.

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Mathematics — Real Numbers, Polynomials, Geometry & Statistics (AP Class 9)

Complete AP Class 9 Mathematics: REAL NUMBERS (rational, irrational, decimal expansions). POLYNOMIALS (degree, zeroes, Remainder & Factor Theorems). COORDINATE GEOMETRY. LINES and ANGLES. TRIANGLES. QUADRILATERALS. SURFACE AREAS and VOLUMES. STATISTICS. BSEAP Class 9 Mathematics with AP-specific examples.

AP Board (BSEAP)⏱ 18 minRead chapter

Real Numbers

Complete REAL NUMBERS for AP Class 9 — RATIONAL numbers (terminating and recurring decimals). IRRATIONAL numbers with PROOF that √2 is irrational. REPRESENTING √n on the number line. RATIONALISATION of denominators. Laws of EXPONENTS for real numbers. Worked examples.

AP Board (BSEAP)⏱ 14 minRead chapter

Polynomials and Factorisation

POLYNOMIALS — degree, types (linear, quadratic, cubic). ZEROES of a polynomial. REMAINDER THEOREM and FACTOR THEOREM. Algebraic IDENTITIES. Factorising CUBIC polynomials. Complete AP Class 9 Mathematics.

AP Board (BSEAP)⏱ 14 minRead chapter

Coordinate Geometry

The CARTESIAN PLANE — plotting points (x,y), the four QUADRANTS. ABSCISSA and ORDINATE. Distance of a point from axes. GRAPHING linear equations as straight lines. x=k and y=k. Historical context — Descartes and the fly on the ceiling. AP Board Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Linear Equations in Two Variables

LINEAR EQUATIONS — ax+by+c=0. SOLUTIONS as ordered pairs (x,y) — infinitely many. GRAPHING a linear equation as a STRAIGHT LINE. x=k and y=k as special cases. Applications and worked examples. AP Board Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Lines and Angles

ANGLE TYPES and ANGLE PAIRS (complementary, supplementary, adjacent, vertically opposite, linear pair). PARALLEL LINES cut by a TRANSVERSAL — corresponding, alternate interior, co-interior angles. Angle sum property of triangles. Complete AP Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Triangles

CONGRUENCE of triangles — SSS, SAS, ASA, AAS, RHS criteria. Properties of ISOSCELES triangles. Inequalities in a triangle. Complete AP Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Quadrilaterals

TYPES of quadrilaterals — parallelogram, rectangle, rhombus, square, trapezium, kite. PROPERTIES of PARALLELOGRAMS. MID-POINT THEOREM and its converse. Angle sum property (360°). Complete AP Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Surface Areas and Volumes

Complete MENSURATION for AP Class 9 — Surface Areas and Volumes of CUBE, CUBOID, CYLINDER, CONE, SPHERE, and HEMISPHERE. All formulas with worked numerical examples. Common exam mistakes. AP Board Class 9 Mathematics.

AP Board (BSEAP)⏱ 14 minRead chapter

Heron's Formula

Complete HERON'S FORMULA for AP Class 9 — finding the area of a triangle using only its THREE SIDES. Formula derivation concept. Application to quadrilaterals by splitting into triangles. Equilateral triangle special case. NCERT-aligned 2025-26 syllabus. AP Board Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Introduction to Euclid's Geometry

EUCLID (c.300 BCE) — the Father of Geometry. His definitions, AXIOMS (common notions), and five POSTULATES. The famous FIFTH POSTULATE and its 2,000-year history — from failed proofs to the discovery of non-Euclidean geometry. Playfair's Axiom. Complete AP Class 9 Mathematics.

AP Board (BSEAP)⏱ 12 minRead chapter

Statistics

Complete STATISTICS for AP Class 9 — data collection (primary vs secondary), presentation (grouped frequency tables, histograms, frequency polygons), MEASURES OF CENTRAL TENDENCY (mean, median, mode) for ungrouped and grouped data. Worked numerical examples.

AP Board (BSEAP)⏱ 14 minRead chapter

Circles

Complete CIRCLE THEOREMS for AP Class 9 — angle at centre = 2× angle at circumference. Angle in a semicircle = 90°. Equal chords are equidistant from centre. Perpendicular from centre to chord bisects it. CYCLIC QUADRILATERALS. Worked proofs and examples.

AP Board (BSEAP)⏱ 14 minRead chapter