Class 7 · Chapter 6
Number Play
Divisibility rules and number puzzles.
Read the full chapter
Ganita Prakash · Class 7 Part 1 (2026-27)
Official NCERT PDF
Latest 2026-27 edition on ncert.nic.in
NCERT Book Portal
Browse every chapter of the latest book
CBSE Academic Portal
Official CBSE curriculum
Tip: NCERT updated the syllabus for 2026-27. The links above open the latest edition on the official portal — chapter titles and numbering may differ from the notes shown here.
Detailed theory
Fast tests without full division. By 4: last two digits divisible by 4. By 6: divisible by both 2 and 3. By 8: last three digits divisible by 8.
Key concepts & formulas
01
Divisibility by 2: last digit even.
02
By 3: sum of digits divisible by 3.
03
By 5: last digit 0 or 5. By 10: last digit 0.
04
By 9: sum of digits divisible by 9.
05
By 11: alternating digit sum difference divisible by 11.