Number Play — Chapter Summary
CBSE · Class 7 · Mathematics
Summary of Number Play for CBSE Class 7 Mathematics. Key concepts: Even numbers can be arranged, The parity of a sum depends and The sum of any odd number.
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Overview
Number Play explores patterns in numbers through parity, grids, number sequences, and digit puzzles. It shows how simple rules can reveal deep mathematical ideas. The chapter focuses on even and odd numbers, sums in number grids, magic squares, the Virahanka-Fibonacci sequence, and cryptarithms wher
Key Concepts
Even numbers can be arranged
Even numbers can be arranged in pairs without any leftovers. Odd numbers cannot be arranged in pairs and are one more than a collection of pairs. The
The parity of a sum depends
The parity of a sum depends on the parity of the numbers being added. even + even = even, odd + odd = even, and even + odd = odd. The sum of two conse
The sum of any odd number
The sum of any odd number of odd numbers is odd, so 5 odd numbers can never give an even total such as 30. The sum of any two odd numbers is even.
Two numbers one apart are consecutive
Two numbers one apart are consecutive numbers. One is always even and the other odd, so their sum is always odd. Therefore, two ages one year apart ca
The sum of numbers 1
The sum of numbers 1 to 9 is 45. In a solved 3x3 grid using 1-9 without repetition, the sum of all row sums is 45 and the sum of all column sums is al
Learning Objectives
- Understand even and odd numbers through pairing
- Use parity to predict the result of sums and differences
- Recognize patterns in number grids and magic squares
- Apply the row-sum total identity for a 1-9 grid
- Understand the Virahanka-Fibonacci sequence and its recurrence rule
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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