Welcome to the official NCERT Solutions for Class 8 Mathematics (Ganita Prakash Parts I & II) master directory for the 2026-27 CBSE session. Here you will find chapter-by-chapter solutions with clear geometric justifications, step-by-step algebraic derivations, and age-appropriate explanations formatted in our signature Topper’s Handwritten Notebook Style with zero raw LaTeX errors.
Ganita Prakash Part I — Chapter-Wise Directory
Chapter 1: A Square and A Cube
Square numbers ending patterns, prime factorisation square roots, LCM square problem, cubes and cube root estimation.
View Chapter 1 Solutions →Chapter 2: Power Play (Exponents)
Laws of exponents, negative powers, expressing astronomical distances and microscopic sizes in standard scientific form.
View Chapter 2 Solutions →Chapter 3: A Story of Numbers
Evolution of numbers across civilizations, place value systems, Roman vs Indian decimal systems, and base conversions.
View Chapter 3 Solutions →Chapter 4: Quadrilaterals
Geometric proof of 360° angle sum property, parallelogram angle ratio problems, rhombus, rectangle, and square properties.
View Chapter 4 Solutions →Chapter 5: Number Play
Mathematical reasoning, divisibility rules for 2, 3, 5, 9, 11, solving letter cryptarithms, and magic squares.
View Chapter 5 Solutions →Chapter 6: We Distribute, Yet Things Multiply
Algebraic expressions, distributive law a(b+c), multiplying binomials, standard identities (a+b)², (a−b)², a²−b².
View Chapter 6 Solutions →Chapter 7: Proportional Reasoning-1
Direct variation, unitary method, ratio comparisons in recipes, maps, speed-distance-time proportional models.
View Chapter 7 Solutions →Ganita Prakash Part II — Chapter-Wise Directory
Chapter 8: Fractions in Disguise
Percentages, profit and loss, discount calculations, Goods & Services Tax (GST), simple interest applications.
View Chapter 8 Solutions →Chapter 9: The Baudhayana-Pythagoras Theorem
Baudhayana Sulba Sutra theorem statement, hypotenuse proofs, ladder problems, and Pythagorean triplets.
View Chapter 9 Solutions →Chapter 10: Proportional Reasoning-2
Inverse variation (xy = k), workers & time problems, pie chart angle construction (θ = value/total × 360°).
View Chapter 10 Solutions →Chapter 11: Exploring Some Geometric Themes
3D spatial geometry, polyhedra faces (F), vertices (V), edges (E), Euler’s formula (F + V − E = 2), nets of solids.
View Chapter 11 Solutions →Chapter 12: Tales by Dots and Lines
Arithmetic mean (average) as balance point, data range, constructing and interpreting line graphs and trends.
View Chapter 12 Solutions →Chapter 13: Algebra Play
Linear equations in one variable, transposing terms across equals sign, modeling real-life word problems.
View Chapter 13 Solutions →Chapter 14: Area (Mensuration)
Area of trapezium (1/2 × sum of parallel sides × height), rhombus area, triangulation of general polygons.
View Chapter 14 Solutions →📌 Master Formula & Proof Revision Sheet for Class 8 Mathematics
- Perfect Squares: Ending digits must be 0, 1, 4, 5, 6, 9. Odd number of factors implies a perfect square.
- Exponents Laws: am × an = am+n; am / an = am−n; (am)n = amn.
- Quadrilaterals: Sum of interior angles = (n − 2) × 180° = 360°. Parallelogram opposite angles are equal, diagonals bisect each other.
- Baudhayana-Pythagoras: c2 = a2 + b2 in right-angled triangles. Triplets: (3,4,5), (5,12,13), (8,15,17), (7,24,25).
- Euler’s Formula: Faces (F) + Vertices (V) − Edges (E) = 2 for any convex polyhedron.
- Mensuration: Trapezium Area = 1/2 × (a + b) × h; Rhombus Area = 1/2 × d1 × d2.