Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 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
The last three digits make 58, which is not divisible by 8.
- A99,195
- B33,769
- C94,409
- D10,728
Answer: 10,728
It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 18 (a multiple of 3).
Answer: 8
- The digit sum is 18, which is divisible by 9.
Only the digit 8 works.
Answer: True
The last three digits make 576, which is divisible by 8.
- A54,433
- B40,365
- C74,989
- D8,358
Answer: 40,365
The digit sum is 18, which is divisible by 9.
Answer: 3
- The digit sum is 9, which is divisible by 9.
Only the digit 3 works.
Answer: False
The last three digits make 756, which is not divisible by 8.
- A48,501
- B30,603
- C1,141
- D69,940
Answer: 48,501
The digit sum is 18, which is divisible by 9.
Answer: 6
- The digit sum is 27, which is divisible by 9.
Only the digit 6 works.
Answer: True
The last three digits make 328, which is divisible by 8.
- A80,698
- B1,378
- C71,935
- D65,748
Answer: 65,748
The digit sum is 30, which is divisible by 3.
Answer: 5
- The digit sum is 18, which is divisible by 9.
Only the digit 5 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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