Year 6 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 6 factors, multiples & primes worksheet.
Year 6 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — Answers
Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.
Answer: False
It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 23 (not a multiple of 3).
- A99,506
- B97,955
- C91,120
- D95,162
Answer: 91,120
The last three digits make 120, which is divisible by 8.
Answer: 6
- The digit sum is 27, which is divisible by 9.
Only the digit 6 works.
Answer: False
The digit sum is 14, which is not divisible by 3.
- A15,738
- B77,275
- C14,003
- D55,127
Answer: 15,738
It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 24 (a multiple of 3).
Answer: 2
- The digit sum is 27, which is divisible by 9.
Only the digit 2 works.
Answer: True
The last two digits make 20, which is divisible by 4.
- A11,047
- B39,431
- C75,440
- D98,451
Answer: 75,440
The last three digits make 440, which is divisible by 8.
Answer: 4
- The digit sum is 27, which is divisible by 9.
Only the digit 4 works.
Answer: False
It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 26 (not a multiple of 3).
- A17,601
- B5,648
- C12,484
- D79,147
Answer: 5,648
The last three digits make 648, which is divisible by 8.
Answer: 4
- The digit sum is 9, which is divisible by 9.
Only the digit 4 works.
Marking tips
- Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
- For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
- Celebrate what went well first, then pick one thing to work on next.
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