Year 7 Divisibility Rules Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 Divisibility Rules Worksheet — Level 3 — 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 9 (odd) and the digit sum is 22 (not a multiple of 3).
- A17,476
- B29,342
- C61,198
- D63,612
Answer: 63,612
It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 18 (a multiple of 3).
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 works.
Answer: False
It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 25 (not a multiple of 3).
- A15,358
- B72,250
- C29,058
- D14,787
Answer: 29,058
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: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 works.
Answer: True
It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 24 (a multiple of 3).
- A1,391
- B87,932
- C89,752
- D23,499
Answer: 23,499
The digit sum is 27, which is divisible by 9.
Answer: 5
- The digit sum is 18, which is divisible by 9.
Only the digit 5 works.
Answer: True
The digit sum is 18, which is divisible by 3.
- A51,578
- B2,877
- C78,877
- D11,179
Answer: 2,877
The digit sum is 24, which is divisible by 3.
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 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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