Download Patterns in Mathematics – NCERT Class 6 Maths Chapter 1 PDF from the new NCERT Class 6 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. Mathematics is the search for patterns and for the explanations of why those patterns exist.
Patterns in Mathematics PDF – Chapter 1 of Ganita Prakash
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 1 PDF | Patterns in Mathematics | View PDF |
| Full book | NCERT Class 6 Maths – Ganita Prakash | View Book |
Read Online
What Is in Patterns in Mathematics? (Class 6 Maths Chapter 1)
- Mathematics is the search for patterns and for the explanations of why those patterns exist.
- The most basic patterns in mathematics are number sequences — counting numbers, odd, even, triangular, square, cube, Virahānka numbers and powers of 2.
- Number sequences are often linked in beautiful ways. Adding odd numbers gives squares; adding counting numbers gives triangular numbers; adding hexagonal numbers gives cubes.
- Drawing a sequence as a picture often explains why a pattern works — a proof you can see.
- Shape sequences — regular polygons, complete graphs, stacked squares and triangles, the Koch snowflake — are the second big family of patterns, and each is tied to a number sequence.
Quick revision – Patterns in Mathematics
| Sequence | First few terms | How to get the next term | Picture it as |
|---|---|---|---|
| Counting numbers | 1, 2, 3, 4, 5 | +1 | A line of dots |
| Odd numbers | 1, 3, 5, 7, 9 | +2 | Bent “L” layers of a square |
| Even numbers | 2, 4, 6, 8, 10 | +2 | Two equal rows of dots |
| Triangular | 1, 3, 6, 10, 15 | Add the next counting number | A triangle of dots |
| Squares | 1, 4, 9, 16, 25 | Add the next odd number | A square grid of dots |
| Cubes | 1, 8, 27, 64, 125 | Add the next hexagonal number | A solid cube |
| Hexagonal | 1, 7, 19, 37, 61 | Add the next multiple of 6 | Rings around a centre dot |
| Virahānka | 1, 2, 3, 5, 8, 13 | Add the previous two | Spirals and plant growth |
| Powers of 2 | 1, 2, 4, 8, 16 | × 2 | Two copies of the last picture |
| Powers of 3 | 1, 3, 9, 27, 81 | × 3 | Three copies of the last picture |
Old NCERT vs New – Class 6 Maths
This chapter is from Ganita Prakash, the new NCERT Class 6 Maths book (NCF-SE 2023, used from 2024-25). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Patterns in Mathematics – Overview
| Class | Class 6 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Chapter | 1 of 10 – Patterns in Mathematics |
| Book pages | 1 – 12 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 6 Maths Chapter 1 – FAQs
Where can I download Patterns in Mathematics Class 6 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 6 Maths Chapter 1 about?
Mathematics is the search for patterns and for the explanations of why those patterns exist.
Is Patterns in Mathematics from the new NCERT Class 6 Maths book?
Yes. It is chapter 1 of ganita prakash, the new NCERT Class 6 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 6 Maths Chapter 1?
Open the NCERT Solutions link above for answers to the exercise questions.