Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — 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 741, which is not divisible by 8.
- A86,944
- B51,888
- C98,375
- D28,342
Answer: 51,888
The digit sum is 30, which is divisible by 3.
Answer: 6
- The digit sum is 18, which is divisible by 9.
Only the digit 6 works.
Answer: True
The digit sum is 18, which is divisible by 9.
- A96,696
- B61,148
- C30,677
- D6,825
Answer: 96,696
The last three digits make 696, which is divisible by 8.
Answer: 8
- The digit sum is 18, which is divisible by 9.
Only the digit 8 works.
Answer: True
The digit sum is 18, which is divisible by 9.
- A37,558
- B12,808
- C99,816
- D30,196
Answer: 99,816
It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 33 (a multiple of 3).
Answer: 4
- The digit sum is 18, which is divisible by 9.
Only the digit 4 works.
Answer: False
The digit sum is 22, which is not divisible by 9.
- A12,688
- B30,715
- C54,661
- D38,436
Answer: 38,436
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: 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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