Maths
Stretch – Divisibility Rules
Stretch (universal 11+): use divisibility rules for 2, 3, 4, 5, 6, 9 and 10 to test numbers quickly.
MathsAge 11+25 minutes
What this topic covers
- Test divisibility by 2, 5 and 10 from the last digit.
- Test divisibility by 3 and 9 from the digit sum.
- Test divisibility by 4 from the last two digits and by 6 by combining rules.
Core concept summaries
Key ConceptsLast-Digit Rules: 2, 5, 10Digit-Sum Rules: 3 and 9Last-Two-Digits Rule: 4
Practice formats pupils may meet
NeurofiED uses varied practice to help pupils apply the idea actively, check understanding and build confidence over time.
clozematchingquiz
Example quiz question
Is 7,314 divisible by 3?
- no — it ends in 4
- yes — 7 + 3 + 1 + 4 = 15
- no — 15 is not a multiple of 3
- yes — it ends in 4
Show the answer
Answer: B. yes — 7 + 3 + 1 + 4 = 15
Digit sum 15.