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: True
The digit sum is 18, which is divisible by 9.
- A17,115
- B15,176
- C41,953
- D11,615
Answer: 15,176
The last two digits make 76, which is divisible by 4.
Answer: 4
- The digit sum is 18, which is divisible by 9.
Only the digit 4 works.
Answer: False
It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 31 (not a multiple of 3).
- A54,403
- B30,015
- C71,557
- D60,331
Answer: 30,015
The digit sum is 9, which is divisible by 3.
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 works.
Answer: True
The last two digits make 60, which is divisible by 4.
- A40,174
- B41,776
- C53,780
- D91,146
Answer: 91,146
It must divide by 2 and by 3: the last digit is 6 (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
The digit sum is 20, which is not divisible by 3.
- A19,558
- B74,501
- C31,302
- D88,741
Answer: 31,302
It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 9 (a multiple of 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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