NCERT Solutions for Class 8 Maths- English Medium (Ganita Prakash) – Free PDF Download

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Free, original, step-by-step NCERT Solutions for Class 8 Maths- English Medium (Ganita Prakash), matching the current 2026-27 CBSE syllabus.

Each chapter below is solved question by question, in the order it appears in the textbook, so you can follow along page by page instead of jumping between sites. Click a chapter's Solutions link for the full worked answers, Extra Questions for additional practice beyond the textbook, and Revision Notes for a quick summary before a test.

📚 Formulas Handbook (all chapters)

Chapter 1: A Square and A Cube – Free PDF Download

Chapter 1 — A Square and A Cube — is the opening chapter of the new Ganita Prakash Part 1 (Grade 8) textbook. It introduces square numbers and cube numbers, digit and zero patterns, the sum-of-consecutive-odd-numbers pattern, and how to find square roots and cube roots using prime factorisation. The chapter has two ...

Solutions | Extra Questions | Revision Notes

Chapter 2: Power Play – Free PDF Download

Chapter 2 — Power Play — introduces exponents: writing repeated multiplication as powers, the laws of exponents (product, quotient, power-of-a-power, power-of-a-product, zero and negative exponents), and using powers of 10 to express and compare very large or very small numbers in standard (scientific) form. The cha...

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Chapter 3: A Story of Numbers – Free PDF Download

Chapter 3 — A Story of Numbers — is a history-of-mathematics chapter, not a number-theory chapter. It traces how number systems evolved: tally counting, Roman numerals, the Gumulgal (Pacific islander) base-2 counting system, the Egyptian additive base-10 system, the idea of ‘base’ and ‘landmark numbers’, the Mesopot...

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Chapter 4: Quadrilaterals – Free PDF Download

Chapter 4 — Quadrilaterals — explores rectangles, squares, parallelograms, rhombuses, kites and trapeziums through their diagonal properties, and builds every property using triangle congruence (SSS, SAS, ASA) rather than just measurement. The chapter has three Figure It Out blocks (5+3+11 = 19 questions). Below are...

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Chapter 5: Number Play – Free PDF Download

Chapter 5 — Number Play — explores number theory through puzzles: parity of algebraic expressions, sums of consecutive numbers, divisibility rules (9, 11, 18, 44), digital roots, remainder/modular reasoning, and cryptarithms (letter-for-digit puzzles). The chapter has four Figure It Out blocks totalling 32 questions...

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Chapter 6: We Distribute, Yet Things Multiply – Free PDF Download

Chapter 6 — We Distribute, Yet Things Multiply — extends the distributive property of multiplication over addition to algebra: expanding products of binomials and multi-term expressions term by term, and building three key identities — (a+b)2 = a2+2ab+b2, (a−b)2 = a2−2ab+b2, and (a+b)(a−b) = a2−b2 — for fast mental ...

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Chapter 7: Proportional Reasoning-1 – Free PDF Download

Chapter 7 — Proportional Reasoning-1 — builds on ratios and proportion: recognising true proportions, finding ratios in their simplest form, using the unitary method (rule of three) to solve real-world scaling problems, sharing a quantity unequally in a given ratio, and converting between units using proportional re...

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Chapter 8: Fractions in Disguise

Chapter 8 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 1 of Part 2) is titled "Fractions in Disguise" and is all about percentages — the idea that a percentage is simply a fraction written with denominator 100, "in disguise" as a familiar everyday number. This chapter is important for boards and for...

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Chapter 9: The Baudhayana-Pythagoras Theorem - Ganita Prakash

Chapter 9 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 2) is titled "The Baudhayana-Pythagoras Theorem" and explores one of the oldest and most famous results in mathematics — the relationship between the sides of a right triangle — first recorded in India in the Baudhayana Sulba Sutra centuries bef...

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Chapter 10: Proportional Reasoning 2 - Ganita Prakash

Chapter 10 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 3) is titled "Proportional Reasoning 2". Building on Chapter 7's introduction to ratio and proportion, this chapter covers dividing a quantity in a given ratio, ratios with more than two terms, pie charts, and inverse proportion (as opposed to ...

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Chapter 11: Exploring Some Geometric Themes - Ganita Prakash

Chapter 11 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 4) is titled "Exploring Some Geometric Themes". It's a more visual, exploratory chapter covering fractals (self-repeating patterns like the Sierpinski Triangle and Koch Snowflake), 3D solids and their nets, and how solids look from different vi...

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Chapter 12: Tales by Dots and Lines - Ganita Prakash

Chapter 12 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 5) is titled "Tales by Dots and Lines". Despite the name, this is a data-handling (statistics) chapter — it covers mean, median, dot plots, line graphs and infographics: how to summarise a data set with a single number, and how to visualise dat...

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Chapter 13: Algebra Play - Ganita Prakash

Chapter 13 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 6 in the book's own numbering) is titled "Algebra Play". It uses number tricks, number pyramids, grid puzzles and divisibility puzzles to build algebraic reasoning — representing unknowns with letters and justifying number patterns using algebr...

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Chapter 14: Area - Ganita Prakash

Chapter 14 of the Class 8 NCERT Ganita Prakash textbook (Part 2, Chapter 7 in the book's own numbering) is titled "Area" — the final chapter of the Class 8 Maths curriculum. It covers areas of rectangles, triangles, polygons, parallelograms, rhombuses and trapeziums, classical Sulba-Sutra dissection methods, and rea...

Solutions | Extra Questions | Revision Notes

ChapterNCERT SolutionsRevision NotesExtra Questions (HOTS)
Ch 1: A Square and A Cube – Free PDF Download Solutions Revision Notes Extra Questions
Ch 2: Power Play – Free PDF Download Solutions Revision Notes Extra Questions
Ch 3: A Story of Numbers – Free PDF Download Solutions Revision Notes Extra Questions
Ch 4: Quadrilaterals – Free PDF Download Solutions Revision Notes Extra Questions
Ch 5: Number Play – Free PDF Download Solutions Revision Notes Extra Questions
Ch 6: We Distribute, Yet Things Multiply – Free PDF Download Solutions Revision Notes Extra Questions
Ch 7: Proportional Reasoning-1 – Free PDF Download Solutions Revision Notes Extra Questions
Ch 8: Fractions in Disguise Solutions Revision Notes Extra Questions
Ch 9: The Baudhayana-Pythagoras Theorem - Ganita Prakash Solutions Revision Notes Extra Questions
Ch 10: Proportional Reasoning 2 - Ganita Prakash Solutions Revision Notes Extra Questions
Ch 11: Exploring Some Geometric Themes - Ganita Prakash Solutions Revision Notes Extra Questions
Ch 12: Tales by Dots and Lines - Ganita Prakash Solutions Revision Notes Extra Questions
Ch 13: Algebra Play - Ganita Prakash Solutions Revision Notes Extra Questions
Ch 14: Area - Ganita Prakash Solutions Revision Notes Extra Questions

Also see the Class 8 NCERT Books catalog for the official textbook PDF.

Frequently Asked Questions

Are these Class 8 Maths- English Medium (Ganita Prakash) solutions updated for the 2026-27 syllabus?

Yes, every chapter listed above is checked against the current NCERT Maths textbook for the 2026-27 CBSE session.

Do you also have Extra Questions and Revision Notes for Class 8 Maths- English Medium (Ganita Prakash)?

Yes — wherever published, Extra Questions and/or Revision Notes are linked next to the matching chapter above.

What is the Class 8 Maths NCERT book called?

The current NCERT textbook for Class 8 Maths is called Ganita Prakash. The solutions above follow it chapter by chapter, in the same order as the printed book.

Are these Class 8 Maths NCERT Solutions available in Hindi medium?

Yes -- see our separate Class 8 Maths Hindi Medium Solutions page.

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