NIOS Class 8Subject library

NIOS Class 8 Mathematics

Chapter-wise notes, previous year papers, sample papers and Q&A for NIOS Class 8 mathematics — free, syllabus-aligned, exam-ready.

14 chapters~315 min read totalFree · printable

Chapters

14 chapters — sequenced for revision and exam prep.

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A Square and A Cube

'A Square and A Cube' opens NCERT Class 8 Mathematics (Ganita Prakash) — exploring perfect squares, square roots, perfect cubes, and cube roots through visual patterns, historical context, and hands-on activities. Master squares up to 50², cubes up to 30³, prime factorisation methods, and the geometric meaning of "squaring" and "cubing". CBSE Class 8 Maths Chapter 1.

CBSE⏱ 25 minRead chapter

Power Play

'Power Play' explores exponents and powers — how to write enormous or microscopic numbers compactly using the language of bases and exponents. Master laws of exponents, negative exponents, fractional exponents, scientific notation, and the elegant way mathematics handles numbers as large as the universe and as small as an atom. CBSE Class 8 Maths (Ganita Prakash) Chapter 2.

CBSE⏱ 22 minRead chapter

A Story of Numbers

'A Story of Numbers' traces humanity's journey through natural numbers, integers, rational numbers, and irrational numbers — exploring properties, the number line, and the magnificent Indian contribution to global mathematics (zero, decimal system, Aryabhata, Brahmagupta, Bhaskara). Master rational number operations, decimal expansions, and the place value of India in number-history. CBSE Class 8 Maths (Ganita Prakash) Chapter 3.

CBSE⏱ 25 minRead chapter

Quadrilaterals

'Quadrilaterals' introduces four-sided polygons — parallelograms, rectangles, squares, rhombuses, trapeziums, and kites. Master their properties, angle and side relationships, diagonals, and the five-case construction problem. The chapter blends pure geometry with hands-on construction skills. CBSE Class 8 Maths (Ganita Prakash) Chapter 4.

CBSE⏱ 25 minRead chapter

Number Play

'Number Play' is a discovery chapter — exploring patterns in numbers, divisibility rules, mental-math tricks, magic squares, sequences, and the playfulness behind serious mathematics. Master Vedic-style fast computation, divisibility for 2-13, generating sequences, and the curious patterns that delight mathematicians. CBSE Class 8 Maths (Ganita Prakash) Chapter 5.

CBSE⏱ 22 minRead chapter

We Distribute Yet Things Multiply

'We Distribute Yet Things Multiply' explores the distributive property in depth — multiplying algebraic expressions, the rectangle method, factorisation, and the identities (a+b)², (a−b)², a²−b². Master the bridge between arithmetic and algebra through visual reasoning. CBSE Class 8 Maths (Ganita Prakash) Chapter 6.

CBSE⏱ 22 minRead chapter

Proportional Reasoning

'Proportional Reasoning' teaches ratios, proportions, percentages, profit/loss, and simple interest — the practical math that powers daily life, business, and finance. Master direct and inverse proportions, the unitary method, percentage conversions, and the formulas that underlie shopping, salaries, taxes, and banking. CBSE Class 8 Maths (Ganita Prakash) Chapter 7.

CBSE⏱ 22 minRead chapter

Fractions in Disguise

'Fractions in Disguise' reveals fractions hiding in unfamiliar forms — decimals, percentages, repeating decimals, and algebraic expressions. Master converting between forms, recognising equivalent fractions, and operating on algebraic rational expressions. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 8.

CBSE⏱ 22 minRead chapter

The Baudhayana–Pythagoras Theorem

'The Baudhayana-Pythagoras Theorem' explores one of mathematics' most beautiful results — in a right-angled triangle, the square on the hypotenuse equals the sum of squares on the other two sides. Discovered in India by Baudhayana (~800 BCE), proved by Pythagoras (~500 BCE), this theorem underlies geometry, trigonometry, and modern engineering. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 9.

CBSE⏱ 22 minRead chapter

Proportional Reasoning II

'Proportional Reasoning II' extends Chapter 7 to compound interest, time-and-work, time-speed-distance, mixtures, and partnership. Master the formula A = P(1 + R/100)ⁿ for compound interest, and the powerful techniques used in business, banking, and engineering. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 10.

CBSE⏱ 20 minRead chapter

Exploring Some Geometric Themes

'Exploring Some Geometric Themes' delves deeper into geometry — congruence and similarity of triangles, properties of circles, symmetry, transformations, and the elegant theorems that govern shapes. Master the AAS, SAS, SSS, RHS congruence rules, properties of similar triangles, and the basic theorems of circles. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 11.

CBSE⏱ 22 minRead chapter

Tales by Dots and Lines

'Tales by Dots and Lines' introduces the visual side of mathematics — coordinate geometry, plotting points, lines, graphs of relationships, bar graphs, histograms, pie charts, and scatter plots. Master how dots and lines tell mathematical stories through data visualization. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 12.

CBSE⏱ 22 minRead chapter

Algebra Play

'Algebra Play' moves from arithmetic to symbolic reasoning — linear equations in one variable, their solutions, word-problem translation, and the foundational techniques of equation-solving. Master the steps of solving, transposition, and applying algebra to real-life puzzles. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 13.

CBSE⏱ 22 minRead chapter

Area

'Area' is the final chapter of Ganita Prakash Class 8 — covering area formulas for triangles, quadrilaterals (parallelogram, rhombus, trapezium, kite), circles, and combinations. Master Heron's formula, surface area and volume of 3D solids, and complex composite-figure calculations. CBSE Class 8 Maths (Ganita Prakash Part 2) Chapter 14.

CBSE⏱ 22 minRead chapter