Year 8 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 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: True
The digit sum is 30, which is divisible by 3.
- A29,348
- B55,619
- C32,073
- D41,146
Answer: 29,348
The last two digits make 48, which is divisible by 4.
Answer: 6
- The digit sum is 27, which is divisible by 9.
Only the digit 6 works.
Answer: False
It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 25 (not a multiple of 3).
- A14,859
- B61,963
- C54,636
- D62,822
Answer: 14,859
The digit sum is 27, which is divisible by 9.
Answer: 7
- The digit sum is 18, which is divisible by 9.
Only the digit 7 works.
Answer: True
The digit sum is 27, which is divisible by 3.
- A82,830
- B3,605
- C79,579
- D83,097
Answer: 83,097
The digit sum is 27, which is divisible by 9.
Answer: 2
- The digit sum is 18, which is divisible by 9.
Only the digit 2 works.
Answer: False
The digit sum is 16, which is not divisible by 9.
- A85,623
- B19,020
- C65,808
- D5,431
Answer: 65,808
The digit sum is 27, which is divisible by 9.
Answer: 8
- The digit sum is 27, which is divisible by 9.
Only the digit 8 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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