Download Number Play – NCERT Class 7 Maths Chapter 6 PDF from the new NCERT Class 7 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. Numbers can carry information about an arrangement without telling you the actual values — each child calls out how many children ahead of them are taller.
Number Play PDF – Chapter 6 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 6 PDF | Number Play | View PDF |
| Full book | NCERT Class 7 Maths – Ganita Prakash | View Book |
Read Online
What Is in Number Play? (Class 7 Maths Chapter 6)
- Numbers can carry information about an arrangement without telling you the actual values — each child calls out how many children ahead of them are taller.
- Parity means being even or odd. An even number can be arranged in pairs; an odd number always leaves one out.
- Parity rules: even + even = even, odd + odd = even, even + odd = odd. A sum of an odd count of odd numbers is odd; of an even count of odd numbers is even.
- The nth even number is 2n and the nth odd number is 2n – 1.
- In a 3 × 3 grid filled with 1 – 9, all row sums add to 45 and all column sums add to 45. A magic square from 1 – 9 has magic sum 15 and 5 at the centre.
- The Virahāṅka sequence 1, 2, 3, 5, 8, 13, 21, 34, 55, … was first written down in India around 700 CE while counting rhythms of short and long syllables.
- In a cryptarithm each letter stands for one fixed digit, and place value plus parity lets you solve the puzzle.
Quick revision – Number Play
| Idea | What it means | Rule / formula | Example |
|---|---|---|---|
| Line-up number | How many children ahead of you are taller | Count taller people in front | 0, 0, 1, 0, 3, 0, 3 |
| Parity | Being even or odd | Even = pairs up fully; odd = one left over | 12 is even, 13 is odd |
| Adding evens | Always even | Even + even = even | 4 + 8 + 10 = 22 |
| Adding odds | Depends on how many | Even count → even; odd count → odd | 3 + 5 = 8; 3 + 5 + 7 = 15 |
| Nth even / odd number | Value at a given position | 2n and 2n – 1 | 100th odd = 200 – 1 = 199 |
| Parity of m × n | Small squares in a grid | Odd only if both m and n are odd | 27 × 13 → odd |
| Row and column sums | Grid filled with 1 – 9 | All three row sums add to 45 | 13 + 14 + 18 = 45 |
| Magic square (1 – 9) | Rows, columns, diagonals equal | Magic sum 15, centre 5 | 8 1 6 / 3 5 7 / 4 9 2 |
| Generalised magic square | Built around the centre m | Magic sum = 3m | Centre 25 → magic sum 75 |
| Virahāṅka numbers | Each term = sum of previous two | 1, 2, 3, 5, 8, 13, 21, 34, … | 8 beats → 34 rhythms |
| Cryptarithm | Letters stand for digits | Same letter = same digit | UT + TA = TAT → 91 + 10 = 101 |
Old NCERT vs New – Class 7 Maths
This chapter is from Ganita Prakash, the new NCERT Class 7 Maths book (NCF-SE 2023, used from 2025-26). 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:
Number Play – Overview
| Class | Class 7 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 6 of 15 – Number Play |
| Book pages | 127 – 145 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 7 Maths Chapter 6 – FAQs
Where can I download Number Play Class 7 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 7 Maths Chapter 6 about?
Numbers can carry information about an arrangement without telling you the actual values — each child calls out how many children ahead of them are taller.
Is Number Play from the new NCERT Class 7 Maths book?
Yes. It is chapter 6 of ganita prakash (part i), the new NCERT Class 7 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 7 Maths Chapter 6?
Open the NCERT Solutions link above for answers to the exercise questions.