Class 8 Maths — Complete Guide, Syllabus, NCERT Solutions, Worksheets & Free Practice (2026-27)

Class 8 Maths is a crucial year — it bridges middle school arithmetic with the pre-algebra and geometry rigor of secondary school. The 2026-27 CBSE curriculum maintains NEP alignment with an increased emphasis on application-based questions.

Key features of this year's Class 8 Maths:

• Algebra intensifies — Algebraic expressions, factorisation and linear equations form the backbone. These topics directly prepare students for Class 9 polynomials.
  - Mensuration becomes 3D — For the first time, students calculate surface areas and volumes of cubes, cuboids and cylinders.
  - Squares, cubes and their roots — A dedicated chapter builds number sense that is essential for Class 9 number systems.
  - Graphs and data — Introduction to Graphs teaches students to read and plot linear graphs, while Data Handling introduces pie charts and probability.
  - ICSE adds Compound Interest — ICSE students encounter compound interest and coordinate geometry earlier than CBSE, giving them a head start on Class 9 commercial maths and coordinate geometry.

SparkEd covers all 15 CBSE chapters and 17 ICSE chapters with 60 practice questions per topic, step-by-step solutions and free downloadable worksheets.

Here is the full Class 8 Maths syllabus for both CBSE and ICSE boards, with direct links to practice and worksheets.

### CBSE — Class 8 Maths Chapters

### ICSE — Class 8 Maths Chapters

Key difference: ICSE introduces Compound Interest and formal Coordinate Geometry in Class 8 — topics CBSE delays to Class 9. This makes ICSE Class 8 Maths noticeably heavier than CBSE. However, both boards converge by Class 9.

For a comprehensive board-level comparison, see our Best Board for Competitive Exams analysis.

These are the must-know formulas for Class 8 Maths. Use this section as a quick-reference cheat sheet.

Rational Numbers
- Additive inverse of $\dfrac{a}{b}$ is $-\dfrac{a}{b}$
- Multiplicative inverse of $\dfrac{a}{b}$ is $\dfrac{b}{a}$ (where $a \neq 0$)

Algebraic Identities
- $(a + b)^2 = a^2 + 2ab + b^2$
- $(a - b)^2 = a^2 - 2ab + b^2$
- $(a + b)(a - b) = a^2 - b^2$
- $(x + a)(x + b) = x^2 + (a + b)x + ab$

Linear Equations
- Solve $ax + b = cx + d$ by transposing: $x = \dfrac{d - b}{a - c}$

Squares & Square Roots
- $\sqrt{a \times b} = \sqrt{a} \times \sqrt{b}$
- A perfect square ends in 0, 1, 4, 5, 6 or 9 (never 2, 3, 7, 8)

Cubes & Cube Roots
- $\sqrt[3]{a \times b} = \sqrt[3]{a} \times \sqrt[3]{b}$

Comparing Quantities
- Compound Interest: $A = P\left(1 + \dfrac{r}{100}\right)^n$
- CI = $A - P$
- Discount = Marked Price $-$ Selling Price
- Sales Tax = $\dfrac{\text{Tax Rate}}{100} \times \text{Selling Price}$

Direct & Inverse Proportions
- Direct: $\dfrac{x_1}{x_2} = \dfrac{y_1}{y_2}$
- Inverse: $x_1 \times y_1 = x_2 \times y_2$

Mensuration
- Lateral surface area of cuboid = $2h(l + b)$
- Total surface area of cuboid = $2(lb + bh + hl)$
- Volume of cuboid = $l \times b \times h$
- Volume of cube = $s^3$
- Curved surface area of cylinder = $2\pi rh$
- Volume of cylinder = $\pi r^2 h$

Exponents
- $a^{-n} = \dfrac{1}{a^n}$
- Standard form: $a \times 10^n$ where $1 \le a < 10$

Pythagorean Theorem
- $a^2 + b^2 = c^2$ (where $c$ is the hypotenuse)

For the full formula sheet with examples, see our Class 8 All Formulas guide.

Every NCERT Class 8 Maths exercise is solved on SparkEd. Here is a chapter-by-chapter overview with links.

Rational Numbers: Properties (closure, commutativity, associativity, distributivity), representation on number line, finding rational numbers between two rationals. Practice | Solutions

Linear Equations: Solving equations with variables on both sides; word problems involving ages, numbers, geometry. Practice | Solutions

Quadrilaterals: Angle sum property, types (parallelogram, rhombus, rectangle, square, trapezium), properties of each. Practice

Data Handling: Organising data, grouped frequency, histograms, pie charts, probability. Practice | Solutions

Squares & Cubes: Finding square roots by prime factorisation and division, cube roots, patterns in perfect squares. Practice | Solutions

Comparing Quantities: Percentage increase/decrease, discount, tax, compound interest. Practice

Algebraic Expressions: Multiplication of monomials, binomials; identities and their applications. Practice | Solutions

Factorisation: Common factor method, regrouping, using identities, division of algebraic expressions. Practice | Solutions

Direct & Inverse Proportions: Identifying proportion type, solving real-world problems (speed, time, work). Practice | Solutions

Mensuration: Surface area and volume of cube, cuboid, cylinder; area of trapezium and polygon. Practice | Solutions

Exponents & Powers: Negative exponents, laws of exponents, standard form. Practice

Introduction to Graphs: Linear graphs, reading and plotting points, real-life graphs. Practice

Pythagorean Theorem: Proof, converse, Pythagorean triplets, applications. Practice

Geometric Explorations: Visualising 3D shapes, Euler's formula, nets of solids. Practice

Number Play: Divisibility, tests of divisibility, general form of numbers. Practice

Download free, curriculum-aligned PDF worksheets for every Class 8 Maths chapter. Three difficulty levels, answer keys included.

CBSE Class 8 Worksheets:

• Rational Numbers Worksheet
  - Algebraic Expressions Worksheet
  - Data Handling Worksheet
  - Squares & Cubes Worksheet
  - Linear Equations Worksheet
  - Comparing Quantities Worksheet
  - Direct & Inverse Proportions Worksheet
  - Factorisation Worksheet
  - Introduction to Graphs Worksheet
  - Mensuration Worksheet
  - Pythagorean Theorem Worksheet
  - Exponents & Powers Worksheet
  - Quadrilaterals Worksheet
  - Geometric Explorations Worksheet
  - Number Play Worksheet

ICSE Class 8 Worksheets:

• Compound Interest Worksheet
  - Squares & Square Roots Worksheet
  - Cubes & Cube Roots Worksheet
  - Factorisation Worksheet
  - Percentage, Profit & Loss Worksheet
  - Polygons Worksheet
  - Area & Volume Worksheet
  - Coordinate Geometry Intro Worksheet

Browse the full collection at SparkEd Worksheets. For a detailed worksheet usage guide, see our Class 8 Worksheet Guide.

SparkEd provides 60 free practice questions for every Class 8 Maths topic across CBSE and ICSE boards.

Start practising now:

Every question includes a step-by-step solution. The Spark Coach AI tutor is available on every question for personalised hints and explanations.

Students who consistently practise on SparkEd report significant improvement in both speed and accuracy within weeks.

SparkEd's free AI Maths Solver solves any Class 8 Maths problem with detailed step-by-step working.

Particularly useful for Class 8 topics:
- Factorisation — identifies the correct method (common factor, regrouping, identities) and shows each step.
- Mensuration — breaks complex 3D problems into manageable steps with formula application.
- Linear Equations — shows transposition and simplification at every stage.
- Compound Interest — walks through the formula substitution and calculation step by step.

The Solver is designed for Indian school curricula — it uses the same notation, terminology and methods as your CBSE/ICSE textbook.

Try the Solver now — free, no sign-up required.

Spark Coach is SparkEd's built-in AI tutor that sits alongside every practice question. For Class 8 Maths, where concepts become significantly more abstract, having an always-available tutor makes a real difference.

How Spark Coach helps:
- Gives progressive hints (nudge first, then detailed help if needed).
- Explains where your reasoning went wrong after an incorrect answer.
- Connects concepts across chapters (e.g., linking algebraic identities to factorisation).
- Adapts explanations to your understanding level.

Start any Class 8 practice session and tap the Coach button to try it.

Class 8 is often when maths anxiety peaks — topics become abstract (algebra, proofs) and marks start to feel consequential. Here is how parents can help.

1. Watch for the 'algebra wall'
Many students hit a conceptual wall when algebra moves from simple equations to factorisation and identities. If your child is struggling, go back to Class 7 algebraic expressions on SparkEd to rebuild the foundation.

2. Make mensuration tangible
Calculate the volume of a water tank, the paint needed for a room, or the cloth for a cylindrical cushion cover. These real-world connections make mensuration formulas stick.

3. Do not skip 'easy' chapters
Chapters like Direct & Inverse Proportions and Introduction to Graphs seem simple but carry guaranteed marks in exams. Ensure your child completes these fully.

4. Set up a regular practice schedule
45 minutes of daily practice on SparkEd is ideal for Class 8. The platform tracks accuracy per topic, so you can identify weak areas without looking over your child's shoulder.

5. Use worksheets for exam simulation
Two weeks before exams, print SparkEd worksheets and have your child attempt them under timed conditions. This builds exam stamina and time management skills.

Download worksheets at sparkedmaths.com/worksheets.

SparkEd's Class 8 Maths worksheet collection is the most comprehensive free resource available for Indian students.

Included:
- 15 CBSE worksheets + 17 ICSE worksheets
- Three difficulty levels per worksheet
- Answer keys with step-by-step solutions
- Clean, print-friendly PDF format

Visit SparkEd Worksheets, filter by Class 8, and download everything you need.

Teachers can use these as weekly tests, revision sheets or homework assignments. Each worksheet is designed to be completed in 30-40 minutes, making it ideal for a single class period.