Year 8 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 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 14 (not a multiple of 3).
- A44,286
- B65,725
- C76,324
- D24,985
Answer: 44,286
It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 24 (a multiple of 3).
Answer: 6
- The digit sum is 27, which is divisible by 9.
Only the digit 6 works.
Answer: True
The digit sum is 33, which is divisible by 3.
- A34,982
- B43,161
- C79,713
- D32,348
Answer: 32,348
The last two digits make 48, which is divisible by 4.
Answer: 4
- The digit sum is 18, which is divisible by 9.
Only the digit 4 works.
Answer: False
The last three digits make 95, which is not divisible by 8.
- A10,312
- B40,775
- C32,105
- D39,565
Answer: 10,312
The last three digits make 312, which is divisible by 8.
Answer: 3
- The digit sum is 18, which is divisible by 9.
Only the digit 3 works.
Answer: False
It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 14 (not a multiple of 3).
- A35,493
- B84,842
- C55,736
- D78,160
Answer: 35,493
The digit sum is 24, which is divisible by 3.
Answer: 4
- The digit sum is 18, 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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