Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 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
The digit sum is 22, which is not divisible by 3.
- A3,908
- B4,037
- C11,983
- D42,896
Answer: 42,896
The last three digits make 896, which is divisible by 8.
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 works.
Answer: False
The last two digits make 35, which is not divisible by 4.
- A49,217
- B93,353
- C9,930
- D15,497
Answer: 9,930
It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 21 (a multiple of 3).
Answer: 2
- The digit sum is 18, which is divisible by 9.
Only the digit 2 works.
Answer: False
It must divide by 2 and by 3: the last digit is 1 (odd) and the digit sum is 20 (not a multiple of 3).
- A71,950
- B79,031
- C26,528
- D40,669
Answer: 26,528
The last three digits make 528, which is divisible by 8.
Answer: 2
- The digit sum is 9, which is divisible by 9.
Only the digit 2 works.
Answer: True
The digit sum is 27, which is divisible by 3.
- A26,099
- B41,363
- C91,092
- D12,910
Answer: 91,092
The digit sum is 21, which is divisible by 3.
Answer: 2
- The digit sum is 27, which is divisible by 9.
Only the digit 2 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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