Number Play — Chapter Summary
CBSE · Class 6 · Mathematics
Summary of Number Play for CBSE Class 6 Mathematics. Key concepts: Numbers can represent rules in, A cell is coloured if and The digit sum of a number.
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Overview
Numbers can convey information, reveal patterns, help with estimation, and support games and puzzles. This chapter connects number ideas with daily life and shows how pattern thinking, digit patterns, supercells, palindromes, Kaprekar's routine, Collatz sequences, estimation, and winning strategies
Key Concepts
Numbers can represent rules in
Numbers can represent rules in a game or a situation. In a line of children, a child says 0, 1, or 2 depending on how many taller neighbours are next
A cell is coloured if
A cell is coloured if the number in it is larger than its adjacent cells. In a single row, only left and right neighbours matter. In a multi-row table
The digit sum of a number
The digit sum of a number is found by adding all its digits. Different numbers can have the same digit sum, such as 68, 176, and 545.
There are nine 1
There are nine 1-digit numbers. Numbers can be grouped by how many digits they have, such as 2-digit, 3-digit, 4-digit, and 5-digit numbers.
Numbers that read the same from
Numbers that read the same from left to right and right to left are called palindromes or palindromic numbers. Examples include 121, 313, and 222.
Learning Objectives
- Understand how numbers can show information in different situations.
- Identify patterns in digit sums, repeated digits, palindromes, and number arrangements.
- Find supercells by comparing numbers with their neighbours.
- Explore reverse-and-add patterns and palindromic numbers.
- Understand Kaprekar's routine and the Kaprekar constant 6174 for 4-digit numbers with at least two different digits.
Frequently Asked Questions
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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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