Class 7 Maths — Complete Guide, Syllabus, NCERT Solutions, Worksheets & Free Practice (2026-27)

Class 7 Maths builds substantially on Class 6 foundations. Under CBSE, the 2026-27 curriculum continues the NEP-aligned approach with more emphasis on Competency-Based Questions (CBQs) and real-world problem solving.

Key highlights for this academic year:

• Algebra becomes central — Class 7 introduces formal algebraic expressions and simple equations, a significant step up from the pattern-based approach in Class 6.
  - Rational numbers appear for the first time, extending the number system beyond integers.
  - Geometry deepens — properties of triangles, congruence, and angle relationships become important building blocks for Class 8-10 geometry.
  - Data Handling introduces the concept of probability for the first time.
  - ICSE syllabus covers additional topics like Percentage, Profit-Loss-Discount, and Simple Interest that CBSE introduces later.

Whether you follow CBSE, ICSE or IB MYP, SparkEd covers every Class 7 Maths chapter with 60 practice questions per topic and free downloadable worksheets.

Below is the complete Class 7 Maths syllabus for CBSE and ICSE boards, with direct links to SparkEd practice pages and worksheets.

### CBSE — Class 7 Maths Chapters

### ICSE — Class 7 Maths Chapters

Understanding the differences between boards helps you choose the right study material and set expectations.

Key insight: ICSE Class 7 Maths has 18 chapters — two more than CBSE — and is the first year to introduce commercial arithmetic (percentage, profit-loss, simple interest). These topics make ICSE students better prepared for real-world calculations early, while CBSE introduces them in Class 8.

For a detailed board comparison, read our CBSE vs ICSE Class 9 Syllabus guide which traces these differences across all grades.

Master these formulas and you will have a strong grip on every Class 7 Maths chapter.

Integers & Rational Numbers
- Product of two negative integers: $(-a) \times (-b) = ab$
- Division: $a \div (-b) = -(a \div b)$
- Rational number form: $\dfrac{p}{q}$, where $q \neq 0$

Fractions & Decimals
- Multiplication: $\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}$
- Division: $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$

Algebraic Expressions
- Like terms can be added: $3x + 5x = 8x$
- Unlike terms cannot be simplified: $3x + 5y$ stays as-is

Simple Equations
- If $ax + b = c$, then $x = \dfrac{c - b}{a}$

Lines & Angles
- Vertically opposite angles are equal
- Co-interior angles on parallel lines: $\angle 1 + \angle 2 = 180^\circ$
- Alternate interior angles on parallel lines are equal

Triangles
- Angle sum property: $\angle A + \angle B + \angle C = 180^\circ$
- Triangle inequality: sum of any two sides $>$ third side
- Exterior angle = sum of two non-adjacent interior angles

Perimeter & Area
- Area of parallelogram = $b \times h$
- Area of triangle = $\dfrac{1}{2} \times b \times h$
- Circumference of circle = $2\pi r$
- Area of circle = $\pi r^2$

Comparing Quantities
- Percentage: $\text{Percentage} = \dfrac{\text{Part}}{\text{Whole}} \times 100$
- Profit% = $\dfrac{\text{Profit}}{\text{CP}} \times 100$
- Simple Interest = $\dfrac{P \times R \times T}{100}$

Exponents
- $a^m \times a^n = a^{m+n}$
- $\dfrac{a^m}{a^n} = a^{m-n}$
- $(a^m)^n = a^{mn}$
- $a^0 = 1$

For the full formula sheet, see our Class 7 CBSE All Formulas guide.

SparkEd provides step-by-step solutions for every NCERT Class 7 Maths exercise. Here is a summary of each chapter with links to practice and solutions.

Integers & Integer Operations: Addition, subtraction, multiplication and division of integers; properties of integer operations. Practice | Solutions

Fractions Operations: Multiplication and division of fractions; word problems involving fractions. Practice

Decimals: Operations on decimals; conversion between fractions and decimals. Practice

Simple Equations: Forming and solving linear equations in one variable; word problems. Practice | Solutions

Parallel & Intersecting Lines: Properties of parallel lines cut by a transversal; angle relationships. Practice | Solutions

Triangles: Angle sum property, exterior angle theorem, triangle inequality, Pythagoras introduction. Practice

Comparing Quantities (HCF & LCM): Ratios, percentages, profit-loss basics. Practice | Solutions

Rational Numbers: Number line representation, operations on rational numbers. Practice

Algebraic Expressions: Terms, coefficients, like and unlike terms, addition and subtraction of expressions. Practice

Exponents & Powers (Number Patterns): Laws of exponents, expressing large numbers in standard form. Practice | Solutions

Congruence & Symmetry: Congruence of triangles (SSS, SAS, ASA, RHS), line and rotational symmetry. Practice

Data Handling: Mean, median, mode; bar graphs; chance and probability introduction. Practice

Coordinate Geometry Introduction: Plotting points on a coordinate plane, reading coordinates. Practice

Constructions & Tilings: Constructing triangles given SSS, SAS, ASA; tessellation patterns. Practice

Download free, printable PDF worksheets for every Class 7 Maths chapter. Each worksheet has three difficulty levels and includes answer keys.

CBSE Class 7 Worksheets:

• Large Numbers Worksheet
  - Arithmetic Expressions Worksheet
  - Decimals Worksheet
  - Algebraic Expressions Worksheet
  - Parallel & Intersecting Lines Worksheet
  - Number Patterns Worksheet
  - Triangles Worksheet
  - Fractions Operations Worksheet
  - Congruence & Symmetry Worksheet
  - Integer Operations Worksheet
  - HCF & LCM Worksheet
  - Rational Numbers Worksheet
  - Coordinate Geometry Intro Worksheet
  - Constructions & Tilings Worksheet
  - Simple Equations Worksheet
  - Data Handling Worksheet

ICSE Class 7 Worksheets:

• Integers Worksheet
  - Fractions & Decimals Worksheet
  - Rational Numbers Worksheet
  - Exponents Worksheet
  - Algebraic Expressions Worksheet
  - Linear Equations Worksheet
  - Ratio & Proportion Worksheet
  - Lines & Angles Worksheet
  - Triangles Worksheet

Browse the full collection at SparkEd Worksheets.

SparkEd offers unlimited free practice for all 16 CBSE and 18 ICSE Class 7 Maths topics. Each topic includes 60 questions across three levels.

Why SparkEd practice works:
- Questions are mapped 1:1 to your textbook chapters — no irrelevant content.
- Every question has a step-by-step solution.
- Spark Coach AI tutor gives hints when you are stuck.
- Track your accuracy and speed improvement over time.

Start practising Class 7 Maths now:

Students who complete Level 1 and Level 2 for all topics on SparkEd are well-prepared for any Class 7 Maths exam.

SparkEd's free AI Maths Solver handles every Class 7 Maths problem — from simple equations to triangle properties.

How to use it:
1. Type your question or take a photo of it.
2. Get an instant, step-by-step solution with clear explanations.
3. Understand the method so you can solve similar problems independently.

The Solver is especially useful for Class 7 topics that students find tricky:
- Simple Equations — shows transposition steps clearly.
- Integers — explains sign rules at every step.
- Triangles — identifies which property to apply and why.

It is completely free and works on any device. Try it now.

Spark Coach is SparkEd's built-in AI tutor, available on every practice question. It adapts to your understanding level and provides personalised guidance.

How Spark Coach helps Class 7 students:
- Hints without spoilers — when you are stuck, Coach gives a nudge in the right direction without revealing the answer.
- Error explanations — after a wrong answer, Coach identifies exactly where your reasoning went wrong.
- Concept connections — links the current problem to related topics (e.g., connecting integer operations to rational number operations).
- Confidence building — positive reinforcement after correct answers, with suggestions for the next challenge level.

Spark Coach is particularly effective for Class 7 Maths because many topics (algebra, geometry, rational numbers) are being encountered for the first time. Having an always-available tutor ensures no student gets stuck for long.

Start a practice session and tap the Coach button on any question.

Class 7 is when many students start finding maths 'difficult' for the first time. The jump in abstraction (algebra, rational numbers) can be challenging. Here is how parents can help.

1. Normalise struggle
Algebra is abstract — it is perfectly normal for your child to need more time with it. Struggling with a concept is not a sign of weakness; it is a sign of learning.

2. Watch for gaps from Class 6
If your child struggled with fractions or integers in Class 6, those gaps will compound in Class 7 (fractions become rational numbers, integers get multiplied and divided). Use SparkEd's Class 6 Level 1 questions to quickly fill gaps before moving on.

3. Encourage daily practice
40 minutes of daily maths practice on SparkEd is ideal for Class 7. The platform's progress tracking shows you exactly which topics need attention.

4. Connect maths to real life
Class 7 introduces percentages, profit-loss and simple interest. Let your child calculate discounts while shopping, compare interest rates on savings, or figure out the best deal on a product — these are real applications of Class 7 Maths.

5. Consider worksheets for offline practice
Download and print SparkEd worksheets from sparkedmaths.com/worksheets for distraction-free study during exams.

Access the complete collection of Class 7 Maths worksheets on SparkEd — free, printable, curriculum-aligned PDFs for both CBSE and ICSE.

What is included:
- 16 CBSE worksheets (one per chapter) + 18 ICSE worksheets
- Three difficulty levels per worksheet (Level 1, Level 2, Level 3)
- Answer keys included
- Clean, print-friendly formatting

Visit SparkEd Worksheets, filter by Class 7, and download everything you need for the year.

Teachers can use these worksheets as weekly assignments, test papers or homework sheets. Students can use them for self-assessment — attempt under timed conditions, check answers, and identify weak areas for targeted practice on SparkEd.