Year 8 Divisibility Rules Worksheet — Level 3 — Answers
Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.
Year 8 Divisibility Rules Worksheet — Level 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 two digits make 98, which is not divisible by 4.
- A61,077
- B79,865
- C35,528
- D99,783
Answer: 35,528
The last three digits make 528, which is divisible by 8.
Answer: 1
- The digit sum is 27, which is divisible by 9.
Only the digit 1 works.
Answer: False
The last three digits make 82, which is not divisible by 8.
- A27,337
- B46,672
- C66,258
- D32,593
Answer: 46,672
The last two digits make 72, which is divisible by 4.
Answer: 6
- The digit sum is 18, which is divisible by 9.
Only the digit 6 works.
Answer: False
The digit sum is 19, which is not divisible by 3.
- A28,367
- B11,814
- C88,868
- D45,808
Answer: 11,814
It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 15 (a multiple of 3).
Answer: 4
- The digit sum is 36, which is divisible by 9.
Only the digit 4 works.
Answer: True
The last three digits make 224, which is divisible by 8.
- A59,965
- B70,488
- C13,039
- D70,577
Answer: 70,488
The last three digits make 488, which is divisible by 8.
Answer: 1
- The digit sum is 18, which is divisible by 9.
Only the digit 1 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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