Class 8 · Chapter 16

Playing with Numbers

General form of a number; divisibility tests; puzzles with digits.

Read the full chapter
Tip: open the NCERT PDF for the original chapter text alongside the notes here.
Detailed theory
By 2,3,4,5,8,9,10,112, 3, 4, 5, 8, 9, 10, 11 — quick tests using digits. Enables mental checks.
Key concepts & formulas
01
Two-digit number: 10a+b10a + b.
02
Three-digit number: 100a+10b+c100a + 10b + c.
03
Divisibility by 22: last digit even.
04
Divisibility by 55: last digit 00 or 55.
05
Divisibility by 99: sum of digits divisible by 99.
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026