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~329 min read totalFree · printable

Chapters

14 chapters — sequenced for revision and exam prep.

All subjects →

NCERT chapters — we haven't confirmed NIOS's prescribed textbook

Several state boards have adopted NCERT books outright and others have not. We won't guess. Check the chapter names against your own textbook, and tell us if they differ.

Find a tutor who teaches this board

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 how humans learned to write numbers — from tally marks on bone and Gumulgal counting in twos, through Roman and Egyptian numerals, to the base-5, Mesopotamian base-60 and Mayan systems, and finally to the Hindu place value system with zero. Learn what landmark numbers and a base are, why place value needs a zero, and why this made calculation possible. CBSE Class 8 Maths (Ganita Prakash) Chapter 3.

CBSE⏱ 25 minRead chapter

Quadrilaterals

'Quadrilaterals' derives the properties of rectangles, squares, parallelograms, rhombuses, kites and trapeziums by geometric reasoning rather than assertion — using congruence and transversal arguments. Learn the Carpenter's Problem, the three equivalent definitions of a rectangle, how diagonal properties alone let you construct each shape, and how the whole family nests in a Venn diagram. CBSE Class 8 Maths (Ganita Prakash) Chapter 4.

CBSE⏱ 25 minRead chapter

Number Play

'Number Play' is about divisibility reasoning — not just the tests but WHY they work. Learn to add and subtract remainders directly, solve 'always/sometimes/never true' claims with algebra, master the digital root and its link to division by 9, combine coprime tests for divisors like 18, 36 and 44, and crack cryptarithms by reasoning from the units column. CBSE Class 8 Maths (Ganita Prakash) Chapter 5.

CBSE⏱ 22 minRead chapter

We Distribute Yet Things Multiply

'We Distribute Yet Things Multiply' builds the three standard identities out of one rule — the distributive property — using a multiplication-grid model. Learn Identity 1A (a+b)², 1B (a−b)² and 1C (a+b)(a−b), how to compute 98 × 102 and 1097² mentally, fast multiplication by 11, 101 and 99, the classic expansion errors and how to spot them, and how tile and area patterns simplify by difference of squares. CBSE Class 8 Maths (Ganita Prakash) Chapter 6.

CBSE⏱ 22 minRead chapter

Proportional Reasoning

'Proportional Reasoning — 1' covers ratios and proportion, dividing a quantity in a given ratio, rates such as population density and cost per square foot, and unit conversions. Learn the cross-product test, why adding to a ratio destroys it, when to round up, and why 4 times faster means a quarter of the time. 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 Baudhāyana–Pythagoras Theorem

Chapter 2 of Ganita Prakash Part 2 — the ninth chapter of Class 8 Maths. It builds the theorem the way Baudhāyana did, starting from the problem of doubling a square, meeting √2 along the way, and ending with Baudhāyana triples and Fermat's Last Theorem.

CBSE⏱ 24 minRead chapter

Proportional Reasoning-2

Chapter 3 of Ganita Prakash Part 2 — the tenth chapter of Class 8 Maths. Ratios with three or more terms, sharing a whole in a given ratio, map scales, pie charts, and the relationship most students get wrong — inverse proportion.

CBSE⏱ 22 minRead chapter

Exploring Some Geometric Themes

Chapter 4 of Ganita Prakash Part 2 — the eleventh chapter of Class 8 Maths and the longest in the book. Two themes: fractals, which are self-similar shapes, and visualising solids through nets, projections and isometric drawing.

CBSE⏱ 26 minRead chapter

Tales by Dots and Lines

The chapter that changes what an average *is* — from a formula into a balance point on the number line. Mean and median as centres of gravity, what happens when values join or leave, means from frequency tables, spreadsheets, line graphs, infographics and activity strips — and, just as important, learning what a graph does not say. CBSE Class 8 Maths (Ganita Prakash Part 2, Chapter 5).

CBSE⏱ 24 minRead chapter

Algebra Play

The chapter where algebra stops being a way to find x and becomes a way to prove something is always true. Think-of-a-number tricks, number pyramids, calendar and algebra grids, the largest product, and the divisibility tricks behind 9, 11, 37 and 1001 — each explained, and then redesigned. CBSE Class 8 Maths (Ganita Prakash Part 2, Chapter 6).

CBSE⏱ 22 minRead chapter

Area

The chapter that reduces every area formula to one idea — count unit squares, then cut everything into triangles. Why perimeter tells you nothing about area, the triangle formula proved even when the altitude falls outside the base, parallelogram, rhombus and trapezium by dissection, the Śulba-Sūtra reshaping problems, and shortest paths by reflection. CBSE Class 8 Maths (Ganita Prakash Part 2, Chapter 7).

CBSE⏱ 26 minRead chapter

Mathematics resources for Class 8

Pick the resource type you need.

Mathematics previous year papers

Mathematics sample papers

Mathematics mock tests

Mathematics flashcards

Mathematics doubts (Q&A)

Mathematics daily practice

More NIOS Class 8 subjects

Switch subject within Class 8.

FAQs

Frequently asked questions

Yes — every chapter note, worked example and PYQ for NIOS Class 8 Mathematics is free to read.

Not yet. NIOS Mathematics chapters are still being written, so this page shows the NCERT equivalent — good for the concepts, but chapter names and order will differ from your textbook.

Open the "NIOS Class 8 Mathematics PYQs" card below — it goes straight to the year-wise paper list filtered to this subject.

Yes. Browse verified online and home tutors for NIOS Class 8 Mathematics from /tutors.

Take the next step

NIOS Class 8 Mathematics — find a tutor

Pair self-study with a tutor, a live course or a coaching centre.

1-on-1 help

🧑‍🏫

Find a verified tutor

School, college and competitive — online or at home.

Find tutors

Live cohorts

Join a live course

Test series and recorded lessons from top creators.

Browse courses

Classroom

Browse coaching centres

Verified institutes near you for every exam.

Find centres

NIOS Class 8 Mathematics