Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.
Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 digit sum is 19, which is not divisible by 9.
- A48,633
- B41,271
- C97,434
- D16,591
Answer: 97,434
It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 27 (a multiple of 3).
Answer: 8
- The digit sum is 27, which is divisible by 9.
Only the digit 8 works.
Answer: True
The last two digits make 4, which is divisible by 4.
- A30,974
- B13,541
- C76,289
- D63,306
Answer: 63,306
The digit sum is 18, which is divisible by 9.
Answer: 1
- The digit sum is 27, which is divisible by 9.
Only the digit 1 works.
Answer: True
The digit sum is 30, which is divisible by 3.
- A28,941
- B2,635
- C24,595
- D61,262
Answer: 28,941
The digit sum is 24, which is divisible by 3.
Answer: 2
- The digit sum is 18, which is divisible by 9.
Only the digit 2 works.
Answer: True
The digit sum is 18, which is divisible by 9.
- A72,411
- B62,344
- C7,030
- D32,366
Answer: 62,344
The last two digits make 44, which is divisible by 4.
Answer: 8
- The digit sum is 36, 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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