Class 7 NCERT Math Chapter 6 Number Play – Complete Solutions & Practice Questions

 Introduction

Chapter 6 Number Play from NCERT Class 7 Mathematics is a fascinating journey into the world of patterns, parity, and puzzles. Students learn how numbers tell stories, how grids and magic squares work, and how the famous Virahanka-Fibonacci sequence connects math to nature. This blog provides step‑by‑step solutions, definitions, and extra practice questions to help students master the chapter.

Key Definitions

• Parity: Property of being even or odd.
• Magic Square: A square grid where each row, column, and diagonal adds to the same number.
• Virahanka-Fibonacci Numbers: Sequence formed by adding the two previous terms (1, 2, 3, 5, 8, 13, …).
• Odd Numbers: Numbers not divisible by 2 (1, 3, 5, …).
• Even Numbers: Numbers divisible by 2 (2, 4, 6, …).

Section‑wise Solutions & Extra Questions

6.1 Numbers Tell Us Things

Q1. Arrange stick figures so sequence reads (0, 1, 1, 2, 4, 1, 5).

Solution: Each number shows how many taller children stand ahead.

6.2 Picking Parity

Puzzle: 5 odd cards must sum to 30.
 Impossible, since odd + odd + odd + odd + odd = odd, but 30 is even.

Extra Figure it Out:

• 2 even + 2 odd = Even
• 2 odd + 3 even = Even
• 5 even numbers = Even
• 8 odd numbers = Even

6.3 Magic Squares

Observation:

• Magic sum for 3×3 using 1–9 = 15.
• Centre must be 5.
• 1 and 9 cannot be corners.

✅ Example Magic Square:

2 7 6 9 5 1 4 3 8

Extra Figure it Out:

• Create magic square using 2–10 → Magic sum = 18.
• Increase each number by 1 → Magic sum increases by 3.
• Double each number → Magic sum doubles.

6.4 Virahanka-Fibonacci Numbers

Sequence: 1, 2, 3, 5, 8, 13, 21, 34…

Extra Figure it Out:

• 100th even number = 200
• 100th odd number = 199
• Next 3 numbers after 55, 89 → 144, 233, 377
• Parity pattern → Odd, Even, Odd, Odd, Even, Odd, Odd, Even…

6.5 Digits in Disguise

Puzzle:

T + T + T = UT

👉 Solution: T = 5, UT = 15.

Extra Figure it Out:

AB + AB = CDE

👉 Solution: AB = 56, CDE = 112.

Conclusion

Chapter 6 Number Play teaches students how numbers reveal hidden patterns in everyday life. From parity puzzles to magic squares and the Fibonacci sequence, this chapter connects math with nature, culture, and problem‑solving.

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