Unit I — Number Systems
1 chapter
Unit II — Algebra
2 chapters
02
Algebra
Polynomials
Polynomials in one variable, zeroes, Remainder & Factor Theorems, factorisation techniques, and all 8 algebraic identities including the x³+y³+z³ = 3xyz shortcut.
DegreeZeroes
Remainder ThmFactor Thm
Identity I–VIIIFactorisationCubic
Open →
04
Algebra
Linear Equations in Two Variables
Equations of the form ax + by + c = 0, graphical representation as straight lines, infinite solutions, and real-world applications.
ax+by+c=0Solutions
Graphx-intercepty-intercept
Open →
Unit III — Coordinate Geometry
1 chapter
Unit IV — Geometry
5 chapters
05
Geometry
Introduction to Euclid's Geometry
Euclid's 5 postulates, axioms, theorems, and the logical foundation of all geometry. History and structure of mathematical proof.
PostulatesAxioms
TheoremsProofUndefined Terms
Open →
06
Geometry
Lines and Angles
Types of angles, parallel lines cut by a transversal, alternate interior and co-interior angles, and the angle sum property with complete proofs.
Parallel LinesTransversal
Vertically Opp.Alternate AnglesAngle Sum
Open →
07
Geometry
Triangles
Congruence of triangles — SAS, ASA, AAS, SSS, and RHS criteria with full proofs. Properties of isosceles triangles, angle-side relationships, and inequalities in triangles.
CongruenceSAS
ASAAAS
SSSRHS
IsoscelesInequalities
Open →
08
Geometry
Quadrilaterals
Properties of parallelograms, rectangles, rhombuses and squares. The Mid-Point Theorem, angle sum property, and diagonal properties with proofs.
ParallelogramRectangle
RhombusSquareMid-Point Thm
Open →
09
Geometry
Circles
Chords, arcs, angles subtended at the centre and circumference, cyclic quadrilaterals, perpendicular from centre to chord — with full proofs.
ChordArc
Subtended ∠Cyclic Quad.Perpendicular
Open →
Unit V — Mensuration
2 chapters
10
Mensuration
Heron's Formula
Area of a triangle when all three sides are known using Heron's formula s = (a+b+c)/2. Applications to quadrilaterals by splitting into triangles.
Semi-PerimeterHeron's Formula
Triangle AreaQuad. Area
Open →
11
Mensuration
Surface Areas & Volumes
CSA and TSA of cones, spheres, and hemispheres. Volumes using πr² formulas. Melting and recasting problems, ratio-based questions, and real-life word problems.
Cone CSA/TSASphere SA
HemisphereVolume Cone
Volume SphereSlant HeightRecasting
Open →
Unit VI — Statistics & Probability
1 chapter
Chapter Coverage Map
Each chapter: Basics · Concepts · Step Examples · Solved Exercises · Tips · Formula Sheet · 50 Practice Questions
📐
What's Inside
Basics → Concepts → Examples → Exercises → Tips → Formula Sheet → 50 Qs
🎯
Question Types
MCQ · 1-mark · 2-mark · 3-mark · 5-mark · Proof questions
✅
Full Answers
All 50 questions include complete step-by-step solutions — click to reveal
📱
Works Offline
Pure HTML — open in any browser, no internet needed once downloaded