Class 6 Maths Chapter 1 PDF: Patterns in Mathematics (Ganita Prakash)

Class 6 Maths Chapter 1, Patterns in Mathematics, opens NCERT’s Grade 6 Ganita Prakash textbook (2026-27) by presenting mathematics as both an art and a science of discovering number sequences, geometric shape sequences and the visual explanations behind why patterns work.

What Class 6 Mathematics Chapter 1 Covers

1.1–1.4 What is Mathematics & Number Sequences introduces key number sequences in Table 1—all 1s, counting numbers, odd numbers (1, 3, 5, …), even numbers (2, 4, 6, …), triangular numbers (1, 3, 6, 10, 15, …), squares (1, 4, 9, 16, …), cubes (1, 8, 27, …), Virahanka numbers (1, 2, 3, 5, 8, 13, …) and powers of 2 and 3—and shows visually why the sum of the first n odd numbers is n² and why adding consecutive triangular numbers gives square numbers.

1.5–1.6 Patterns in Shapes & Relation to Number Sequences explores regular polygons (3, 4, 5, 6, … sides), complete graphs (K2, K3, K4, K5 whose edges follow triangular numbers), stacked squares/triangles, and the Koch Snowflake fractal (3, 12, 48, 192, … sides).

Exercises in Chapter 1

• Figure it Out exercise sets across every section with step-by-step Chapter Solutions included at the end of the PDF.
• Summary key formulas, visual proofs, and mathematical puzzles.

Read Class 6 Mathematics Chapter 1 Online

More Chapters

• Next: Chapter 2: Lines and Angles
• Hindi medium: Class 6 Maths Chapter 1 PDF in Hindi (Ganita Prakash)
• All Mathematics chapters and the other Class 6 books: Class 6 NCERT books 2026-27
• All Class 1 to 12 NCERT Textbooks: NCERT Books PDF (Class 1–12)
• Every book chapter by chapter: NCERT chapter wise PDF

FAQ

Why does the sum of consecutive odd numbers starting from 1 always equal a square number?
Each new odd number (1, 3, 5, 7, …) forms an L-shaped border of dots that wraps around the previous square grid to form the next larger n × n square (1 + 3 + 5 + … + (2n – 1) = n²).

What is the pattern when you add two consecutive triangular numbers?
Adding any two consecutive triangular numbers (such as 1 + 3 = 4, 3 + 6 = 9, 6 + 10 = 16) always produces a square number because two right-angled triangular dot grids fit together to form a square.

Updated 2026–27 NCERT Class 6 Books & Chapter-Wise PDFs

Looking for all chapters and the latest 2026–27 NCF NCERT textbooks for Class 6? Open any chapter below to download its official PDF or read our Read Online & Notes study guide, or visit the complete NCERT Class 6 Books PDF (2026–27 Main Page) for all subjects or All NCERT Books PDF (Class 1 to 12).