Class 6 Maths — Complete Guide, Syllabus, NCERT Solutions, Worksheets & Free Practice (2026-27)
Everything you need to ace Class 6 Maths across CBSE, ICSE and IB boards — syllabus breakdown, chapter-wise NCERT solutions, free downloadable worksheets and unlimited online practice.

Start Practising Class 6 Maths — Free on SparkEd
Everything below is 100% free — no subscription, no credit card.
| Resource | What You Get | Link |
|---|---|---|
| Practice Questions | 60 questions per topic, 3 levels, visual solutions | Start Practising |
| AI Maths Solver | Upload a photo or type any problem — instant solutions | Open Solver |
| Spark Coach | AI tutor that guides with hints, never gives the answer | Try Coach |
| Free Worksheets | Print-ready PDFs with answer keys for every chapter | Download |
| Formula Sheets | All Class 6 formulas in one page | View |
How SparkEd helps: Stuck? AI Maths Solver — type, paste, or photo. Want to learn? Spark Coach — Socratic hints on every question. Offline? Free worksheets with answer keys. 30,000+ students use SparkEd. Create free account.
What's New in Class 6 Maths (2026-27)
The 2026-27 academic year brings significant changes to Class 6 Maths under CBSE. The old NCERT textbook has been replaced by Ganita Prakash, a completely redesigned book aligned with the National Education Policy (NEP 2020). Ganita Prakash emphasises conceptual understanding over rote learning, introduces puzzle-based exploration, and weaves real-life contexts into every chapter.
Key changes you should know:
- New chapter names — topics like Patterns in Mathematics, Number Play and Prime Time replace the older chapter titles.
- Activity-based approach — every chapter starts with hands-on explorations before moving to formal definitions.
- Competency-Based Questions (CBQs) now feature prominently in assessments, testing whether students can apply concepts rather than merely recall them.
- Art-integrated learning — geometry chapters include rangoli patterns, tessellations and origami-based constructions.
ICSE boards continue with Selina and ML Aggarwal textbooks, while IB MYP schools follow the inquiry-based framework. Regardless of your board, SparkEd covers every chapter with free practice questions and downloadable worksheets.
Whether your child uses Ganita Prakash or another textbook, this guide maps every topic to the right SparkEd practice page so you never have to search twice.
Complete Chapter-Wise Syllabus
Below is the full Class 6 Maths syllabus for all three major boards. Each chapter links directly to its SparkEd practice page and downloadable worksheet.
### CBSE (Ganita Prakash) — Class 6 Maths Chapters
| # | Chapter | Practice | Worksheet |
|---|---|---|---|
| 1 | Knowing Our Numbers | Practice | Worksheet |
| 2 | Whole Numbers | Practice | Worksheet |
| 3 | Patterns in Mathematics | Practice | Worksheet |
| 4 | Lines and Angles | Practice | Worksheet |
| 5 | Number Play | Practice | Worksheet |
| 6 | Data Handling | Practice | Worksheet |
| 7 | Prime Time (Factors & Multiples) | Practice | Worksheet |
| 8 | Perimeter and Area | Practice | Worksheet |
| 9 | Fractions | Practice | Worksheet |
| 10 | Playing with Constructions | Practice | Worksheet |
| 11 | Symmetry | Practice | Worksheet |
| 12 | Integers | Practice | Worksheet |
### ICSE (Selina / ML Aggarwal) — Class 6 Maths Chapters
| # | Chapter | Practice | Worksheet |
|---|---|---|---|
| 1 | Number System | Practice | Worksheet |
| 2 | HCF and LCM | Practice | Worksheet |
| 3 | Integers | Practice | Worksheet |
| 4 | Fractions | Practice | Worksheet |
| 5 | Decimals | Practice | Worksheet |
| 6 | Ratio and Proportion | Practice | Worksheet |
| 7 | Introduction to Algebra | Practice | Worksheet |
| 8 | Simple Equations | Practice | Worksheet |
| 9 | Basic Geometry | Practice | Worksheet |
| 10 | Symmetry | Practice | Worksheet |
| 11 | Area and Perimeter | Practice | Worksheet |
| 12 | Data Handling | Practice | Worksheet |
| 13 | Sets | Practice | Worksheet |
| 14 | Unitary Method | Practice | Worksheet |
| 15 | Practical Geometry | Practice | Worksheet |
### IB MYP — Class 6 Maths Topics
IB MYP Year 1 organises content into four branches: Number, Algebra, Geometry & Trigonometry, and Statistics & Probability. SparkEd maps each branch to individual practice topics so students can focus on exactly what they need.
Practice this topic on SparkEd — free visual solutions and AI coaching
CBSE vs ICSE vs IB — How Class 6 Maths Differs
Choosing the right board matters, and understanding how Class 6 Maths differs across boards helps parents and students set realistic expectations.
| Feature | CBSE | ICSE | IB MYP |
|---|---|---|---|
| Textbook | Ganita Prakash (NCERT) | Selina / ML Aggarwal | School-selected (e.g. Haese) |
| Number of chapters | 12 | 15 | Concept-based units |
| Algebra introduced? | Basic patterns only | Yes — variables & simple equations | Yes — with inquiry tasks |
| Sets covered? | No | Yes | Yes (as part of Number) |
| Assessment style | MCQ + short answer + CBQ | Structured + application | Criterion-based (A-D) |
| Geometry depth | Lines, angles, symmetry | Adds practical constructions | Adds transformations |
| Difficulty level | Moderate | Moderate-High | Conceptually demanding |
Key takeaway: ICSE covers more topics at Class 6 level (15 chapters vs 12 for CBSE), and introduces algebra and sets earlier. IB MYP focuses less on drill and more on investigation and real-world application. Regardless of board, SparkEd provides chapter-matched practice for all three.
If you are considering switching boards, our detailed CBSE vs ICSE comparison covers the differences in depth.
Key Formulas & Concepts for Class 6 Maths
Here are the essential formulas every Class 6 Maths student should memorise and understand. Bookmark this section for quick revision.
Number System
- Place value of a digit = digit value of its position
- Predecessor of = ; Successor of =
Factors & Multiples
- If remainder, then is a factor of
- HCF — largest common factor; LCM — smallest common multiple
-
Fractions
- Equivalent fractions:
- Addition of like fractions:
Integers
- Adding two negative integers:
- Subtracting integers:
Geometry
- Sum of angles on a straight line =
- Sum of angles at a point =
Perimeter and Area
- Perimeter of rectangle =
- Area of rectangle =
- Perimeter of square =
- Area of square =
- Perimeter of triangle =
- Area of triangle =
Data Handling
- Mean =
For the complete formula sheet with worked examples, see our Class 6 CBSE All Formulas guide.
Chapter-Wise NCERT Solutions
Every chapter in Ganita Prakash has been solved step-by-step on SparkEd. Below is a quick summary of each chapter along with links to the full NCERT solutions and practice questions.
Chapter 1 — Knowing Our Numbers: Covers the Indian and International number systems, place value up to crores, estimation and rounding. Practice on SparkEd | NCERT Solutions
Chapter 2 — Whole Numbers: Properties of whole numbers (closure, commutativity, associativity, distributivity), number line representation, and patterns. Practice on SparkEd | NCERT Solutions
Chapter 3 — Patterns in Mathematics: Number patterns, visual patterns, magic squares, and sequences. Practice on SparkEd
Chapter 4 — Lines and Angles: Types of lines (parallel, intersecting, perpendicular), types of angles (acute, right, obtuse, reflex), and angle measurement. Practice on SparkEd | NCERT Solutions
Chapter 5 — Number Play: Divisibility rules, puzzles with numbers, palindromes and number games. Practice on SparkEd
Chapter 6 — Data Handling: Collection and organisation of data, bar graphs, pictographs and interpretation. Practice on SparkEd
Chapter 7 — Prime Time: Prime and composite numbers, prime factorisation, HCF and LCM. Practice on SparkEd
Chapter 8 — Perimeter and Area: Formulae for rectangles, squares and triangles; real-life word problems. Practice on SparkEd
Chapter 9 — Fractions: Types of fractions, equivalent fractions, comparison, addition and subtraction. Practice on SparkEd | NCERT Solutions
Chapter 10 — Playing with Constructions: Using ruler and compass to construct line segments, angles and simple geometric shapes. Practice on SparkEd
Chapter 11 — Symmetry: Line symmetry, rotational symmetry, and symmetrical figures. Practice on SparkEd
Chapter 12 — Integers: Positive and negative numbers, number line representation, addition and subtraction of integers. Practice on SparkEd
Free Worksheets for Every Chapter
SparkEd provides free, printable PDF worksheets for every Class 6 Maths chapter. Each worksheet includes three difficulty levels (Level 1, Level 2, Level 3) with 20 questions per level, an answer key, and space for rough work.
Download Class 6 CBSE Worksheets:
- Knowing Our Numbers Worksheet
- Whole Numbers Worksheet
- Patterns in Mathematics Worksheet
- Lines and Angles Worksheet
- Number Play Worksheet
- Data Handling Worksheet
- Prime Time Worksheet
- Perimeter and Area Worksheet
- Fractions Worksheet
- Playing with Constructions Worksheet
- Symmetry Worksheet
- Integers Worksheet
Download Class 6 ICSE Worksheets:
- Number System Worksheet
- HCF and LCM Worksheet
- Integers Worksheet
- Fractions Worksheet
- Decimals Worksheet
- Ratio and Proportion Worksheet
- Algebra Introduction Worksheet
- Simple Equations Worksheet
- Basic Geometry Worksheet
For the full collection across all boards, visit SparkEd Worksheets.
How to Score 100% in Class 6 Maths
Scoring full marks in Class 6 Maths is very achievable with the right study strategy. Here is a proven plan that works across all boards.
Daily Practice Routine (30 minutes/day)
1. 10 minutes — Concept review: Read one section from your textbook or SparkEd notes.
2. 15 minutes — Problem solving: Complete 10-15 practice questions on SparkEd. Start with Level 1, move to Level 2 once you are comfortable.
3. 5 minutes — Error log: Write down any mistakes and the correct method. Review this log weekly.
30-Day Preparation Strategy
| Week | Focus | Action |
|---|---|---|
| Week 1 | Number chapters (Ch 1, 2, 5, 7) | Complete all Level 1 practice + worksheets |
| Week 2 | Arithmetic chapters (Ch 9, 12) | Move to Level 2; revise Week 1 errors |
| Week 3 | Geometry chapters (Ch 3, 4, 8, 10, 11) | Focus on diagrams and constructions |
| Week 4 | Data Handling (Ch 6) + Full revision | Attempt Level 3 on all topics; take mock tests |
Exam-Day Tips:
- Read every question twice before solving.
- Attempt easy questions first to build confidence.
- Show all working — partial marks are awarded for correct steps.
- Double-check calculations in the last 10 minutes.
- For geometry questions, always use a sharpened pencil and ruler.
Practice Questions Online — Free on SparkEd
SparkEd offers unlimited free practice for every Class 6 Maths topic. Each topic comes with 60 questions across three levels:
- Level 1 (Easy) — Build confidence with foundational questions.
- Level 2 (Medium) — Apply concepts to slightly challenging problems.
- Level 3 (Hard) — Tackle exam-level and competitive-style questions.
Every question includes a detailed step-by-step solution, and you can track your accuracy and speed over time.
Start practising now:
| Topic | Start Practice |
|---|---|
| Knowing Our Numbers | Start |
| Whole Numbers | Start |
| Patterns in Mathematics | Start |
| Lines and Angles | Start |
| Number Play | Start |
| Data Handling | Start |
| Prime Time | Start |
| Perimeter and Area | Start |
| Fractions | Start |
| Playing with Constructions | Start |
| Symmetry | Start |
| Integers | Start |
Students who practise 20 questions daily on SparkEd typically see a 30% improvement in test scores within 3 months. The platform adapts to your level, so you are always challenged just enough to grow.
AI Maths Solver — Instant Help with Any Problem
Stuck on a Class 6 Maths problem? SparkEd's free AI-powered Maths Solver gives you instant, step-by-step solutions for any question.
How it works:
1. Type or upload a photo of your maths problem.
2. The AI analyses the question and identifies the concept.
3. You get a detailed, step-by-step solution with explanations.
The Solver covers every Class 6 Maths topic — from fractions and integers to perimeter and area. It does not just give you the answer; it teaches you the method so you can solve similar problems on your own.
Unlike generic calculators, SparkEd's Solver is designed for Indian school curricula (CBSE, ICSE, IB) and uses the same terminology and methods your textbook uses.
Try the Solver now — it is completely free, no sign-up required.
Spark Coach — Your Personal Maths Tutor
Every SparkEd practice session comes with Spark Coach, an AI tutor that sits right next to your question. Think of it as having a patient, always-available maths teacher.
What Spark Coach does:
- Gives hints when you are stuck (without revealing the full answer immediately).
- Explains why your answer was wrong and walks you through the correct approach.
- Adjusts explanations to your level — if you do not understand the first explanation, ask again and it simplifies further.
- Connects the current problem to real-life scenarios to deepen understanding.
Spark Coach is available on every practice question across all Class 6 Maths topics. It is especially helpful for chapters students find tricky — like Integers (understanding negative numbers) and Fractions (unlike denominators).
Start a Class 6 Maths practice session and tap the Coach button on any question to try it.
Parent's Guide — How to Help Your Child in Class 6 Maths
Class 6 is a pivotal year in maths — concepts like integers, basic algebra and geometry lay the groundwork for everything that follows in secondary school. Here is how parents can help.
1. Make maths part of daily life
Ask your child to calculate the grocery bill, measure room dimensions for a new carpet, or split a pizza into fractions. Class 6 Maths topics like perimeter, area and fractions map directly to these activities.
2. Focus on understanding, not marks
With Ganita Prakash and NEP-aligned assessments, rote memorisation will not help. Encourage your child to explain their reasoning out loud. If they can teach a concept back to you, they truly understand it.
3. Set a consistent practice schedule
Even 20-30 minutes daily on SparkEd makes a measurable difference. The platform tracks accuracy and time per question, so you can monitor progress without hovering.
4. Address gaps immediately
If your child struggles with fractions in Class 6, that gap will widen in Class 7 (rational numbers) and Class 8 (algebraic fractions). Use SparkEd's Level 1 questions to rebuild confidence before moving ahead.
5. Stay positive about maths
Research consistently shows that parental anxiety about maths transfers to children. Even if you found maths difficult, avoid saying things like 'I was never good at maths.' Instead, frame it as a skill that improves with practice.
6. Use SparkEd's worksheet downloads for offline practice
For families that want to limit screen time, download and print worksheets from SparkEd Worksheets for distraction-free practice.
Download All Class 6 Maths Worksheets
SparkEd offers the largest free collection of Class 6 Maths worksheets for Indian school curricula. Every worksheet is:
- Curriculum-aligned — questions match CBSE (Ganita Prakash) and ICSE textbook patterns exactly.
- Three difficulty levels — Level 1 for basics, Level 2 for application, Level 3 for exam-level rigour.
- Printable PDF — clean formatting with answer keys, suitable for homework or revision.
- Free — no sign-up, no payment, no limits.
Visit the SparkEd Worksheets page and filter by Class 6 to browse and download all available worksheets.
Teachers can also use these worksheets as class assignments or test papers. Each worksheet covers exactly one chapter, making it easy to assign targeted practice.
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