NCERT Solutions for Class 8 Maths
Build a rock-solid foundation in Mathematics with clear, step-by-step NCERT Solutions for Class 8. Every answer is aligned with the latest CBSE syllabus and the pedagogy of the National Council of Educational Research and Training, so your practice remains 100% consistent with NCERT textbooks.
Use the chapter lists and exercise tables below to revise efficiently, track progress, and prepare for school tests and future board exams. For deeper practice, pair each chapter with NCERT exemplar solutions and sample papers. If required, download NCERT book for class to keep question numbering and notation perfectly in sync during your exam preparation.
A) Ganita Prakash (Class 8)
Concept-first sequence that strengthens number sense, geometry intuition, and proportional reasoning.Jump to Ganita Prakash
B) NCERT (Old Syllabus) — 16 Chapters
Complete exercise mapping for the standard Class 8 NCERT Mathematics textbook.Jump to NCERT (Old)
Class 8 Maths — Ganita Prakash Solutions
This track nurtures mathematical thinking through stories, structure, and problem-solving. Solutions emphasise why each method works, not just the final answer, so you naturally develop higher order thinking skill. Use them alongside teacher notes and classroom tasks to remain fully aligned to the CBSE syllabus and the expectations of senior-class science and maths.
Study Strategy
Read the concept overview, attempt questions unaided, then compare your working with the solution steps. Maintain a compact formula/identity diary. This simple routine compounds into cleaner presentation, fewer mistakes, and exam-ready confidence consistent with NCERT textbooks.
Add-on Practice
- Class 8 Maths Extra Questions (Ganita Prakash)
- Class 8 Maths MCQ (Ganita Prakash)
- Class 8 Maths Notes (Ganita Prakash)
NCERT Class 8 Maths (Old Syllabus) — Chapter-wise Solutions
Each chapter below includes a concise description and a professional, Bootstrap-styled table mapping all exercises. The working is kept “marking-scheme friendly”: clear steps, correct reasoning, and final answers highlighted—exactly how teachers evaluate in tests based on the CBSE syllabus. For extended drill, consult relevant NCERT exemplar solutions and past sample papers.
Chapter 1 — Rational Numbers
Operations, properties (closure, associativity, distributivity), identities, inverses, standard form, and representation on the number line.
| Exercise | Open |
|---|---|
| Ex 1.1 | Rational Numbers 1.1 |
| Ex 1.2 | Rational Numbers 1.2 |
| Extra | Extra Questions |
Chapter 2 — Linear Equations in One Variable
Solving linear equations (variables on one/both sides), reducible forms, and real-life word problems on ages, transactions, and numbers.
| Exercise | Open |
|---|---|
| Ex 2.1 | Linear Equations 2.1 |
| Ex 2.2 | Linear Equations 2.2 |
| Ex 2.3 | Linear Equations 2.3 |
| Ex 2.4 | Linear Equations 2.4 |
| Ex 2.5 | Linear Equations 2.5 |
| Ex 2.6 | Linear Equations 2.6 |
| Extra | Extra Questions |
Chapter 3 — Understanding Quadrilaterals
Polygons, interior/exterior angles, and properties of parallelogram, rhombus, rectangle, square, and kite with angle-sum applications.
| Exercise | Open |
|---|---|
| Ex 3.1 | Quadrilaterals 3.1 |
| Ex 3.2 | Quadrilaterals 3.2 |
| Ex 3.3 | Quadrilaterals 3.3 |
| Ex 3.4 | Quadrilaterals 3.4 |
| Extra | Extra Questions |
Chapter 4 — Practical Geometry
Constructions of triangles under SSS, SAS, ASA, RHS; angle/segment bisectors; precision and justification of steps.
| Exercise | Open |
|---|---|
| Ex 4.1 | Practical Geometry 4.1 |
| Ex 4.2 | Practical Geometry 4.2 |
| Ex 4.3 | Practical Geometry 4.3 |
| Ex 4.4 | Practical Geometry 4.4 |
| Ex 4.5 | Practical Geometry 4.5 |
| Extra | Extra Questions |
Chapter 5 — Data Handling
Organisation of data, bar/double-bar graphs, pie charts (intuitive), frequency tables, and basic chance ideas.
| Exercise | Open |
|---|---|
| Ex 5.1 | Data Handling 5.1 |
| Ex 5.2 | Data Handling 5.2 |
| Ex 5.3 | Data Handling 5.3 |
| Extra | Extra Questions |
Chapter 6 — Squares and Square Roots
Patterns, properties of squares, and square roots by prime-factorisation and division method; mensuration linkages.
| Exercise | Open |
|---|---|
| Ex 6.1 | Squares & Square Roots 6.1 |
| Ex 6.2 | Squares & Square Roots 6.2 |
| Ex 6.3 | Squares & Square Roots 6.3 |
| Ex 6.4 | Squares & Square Roots 6.4 |
| Extra | Extra Questions |
Chapter 7 — Cubes and Cube Roots
Cubes, patterns, cube roots via factorisation and reasoning; links to volume problems.
| Exercise | Open |
|---|---|
| Ex 7.1 | Cubes & Cube Roots 7.1 |
| Ex 7.2 | Cubes & Cube Roots 7.2 |
| Extra | Extra Questions |
Chapter 8 — Comparing Quantities
Percentages, increase/decrease, profit-loss, discount, simple and compound interest; everyday financial maths.
| Exercise | Open |
|---|---|
| Ex 8.1 | Comparing Quantities 8.1 |
| Ex 8.2 | Comparing Quantities 8.2 |
| Ex 8.3 | Comparing Quantities 8.3 |
| Extra | Extra Questions |
Chapter 9 — Algebraic Expressions and Identities
From monomials to polynomials; addition, subtraction, multiplication; identities and their applications to simplify or factorise.
| Exercise | Open |
|---|---|
| Ex 9.1 | Algebraic Expressions 9.1 |
| Ex 9.2 | Algebraic Expressions 9.2 |
| Ex 9.3 | Algebraic Expressions 9.3 |
| Ex 9.4 | Algebraic Expressions 9.4 |
| Ex 9.5 | Algebraic Expressions 9.5 |
| Extra | Extra Questions |
Chapter 10 — Visualising Solid Shapes
2-D views of 3-D objects, nets, mapping and scale, and visualisation skills that support geometry and mensuration later on.
| Exercise | Open |
|---|---|
| Ex 10.1 | Solid Shapes 10.1 |
| Ex 10.2 | Solid Shapes 10.2 |
| Ex 10.3 | Solid Shapes 10.3 |
| Extra | Extra Questions |
Chapter 11 — Mensuration
Perimeter/area of plane figures; surface area and volume introductions; compound shapes and real-life applications.
| Exercise | Open |
|---|---|
| Ex 11.1 | Mensuration 11.1 |
| Ex 11.2 | Mensuration 11.2 |
| Ex 11.3 | Mensuration 11.3 |
| Ex 11.4 | Mensuration 11.4 |
| Extra | Extra Questions |
Chapter 12 — Exponents and Powers
Laws of exponents, negative exponents, standard form/scientific notation for efficient calculation and comparison.
| Exercise | Open |
|---|---|
| Ex 12.1 | Exponents & Powers 12.1 |
| Ex 12.2 | Exponents & Powers 12.2 |
| Extra | Extra Questions |
Chapter 13 — Direct and Inverse Proportions
Identifying and solving direct/inverse variation; applications to speed, work, and scaling; table and graph interpretation.
| Exercise | Open |
|---|---|
| Ex 13.1 | Proportions 13.1 |
| Ex 13.2 | Proportions 13.2 |
| Extra | Extra Questions |
Chapter 14 — Factorisation
Common factors, regrouping, identities-based factorisation, and division of polynomials with verification checks.
| Exercise | Open |
|---|---|
| Ex 14.1 | Factorisation 14.1 |
| Ex 14.2 | Factorisation 14.2 |
| Ex 14.3 | Factorisation 14.3 |
| Ex 14.4 | Factorisation 14.4 |
| Extra | Extra Questions |
Chapter 15 — Introduction to Graphs
Cartesian plane basics, plotting from tables, reading/interpreting linear graphs, and everyday graph contexts (distance–time, temperature).
| Exercise | Open |
|---|---|
| Ex 15.1 | Graphs 15.1 |
| Ex 15.2 | Graphs 15.2 |
| Ex 15.3 | Graphs 15.3 |
| Extra | Extra Questions |
Chapter 16 — Playing with Numbers
General form of numbers, divisibility tests, digit reasoning, and number puzzles—excellent for sharpening logic used across science and maths.
| Exercise | Open |
|---|---|
| Ex 16.1 | Playing with Numbers 16.1 |
| Ex 16.2 | Playing with Numbers 16.2 |
| Extra | Extra Questions |
Learn Smart, Present Clean
These solutions are written like a trusted teacher would explain in class—authentic, precise, and easy to revise. Keep your practice anchored to NCERT textbooks, revisit the examples, and solve a short mixed set daily. With steady habits, you’ll see clear gains in speed, accuracy, and presentation—skills that translate directly into better marks in school tests and future board exams.
Class 8 Maths – FAQs
Quick answers about NCERT Solutions, CBSE alignment, downloads, exemplar & exam strategy.