Year 8 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Factors, Multiples & PrimesYear 8 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 434, which is not divisible by 8.
- A13,517
- B7,581
- C3,041
- D57,353
Answer: 7,581
The digit sum is 21, which is divisible by 3.
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 works.
Answer: False
The digit sum is 5, which is not divisible by 9.
- A23,064
- B48,814
- C28,192
- D69,487
Answer: 23,064
The digit sum is 15, which is divisible by 3.
Answer: 8
- The digit sum is 27, which is divisible by 9.
Only the digit 8 works.
Answer: False
It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 13 (not a multiple of 3).
- A45,675
- B97,229
- C68,818
- D67,244
Answer: 45,675
The digit sum is 27, which is divisible by 9.
Answer: 4
- The digit sum is 27, which is divisible by 9.
Only the digit 4 works.
Answer: True
The digit sum is 18, which is divisible by 9.
- A2,842
- B70,479
- C3,486
- D13,506
Answer: 70,479
The digit sum is 27, which is divisible by 9.
Answer: 4
- The digit sum is 27, 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.
Great work. Here's what to try next: