Success TutoringWorksheets

Year 4 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 4 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 4 · Mathematics · Factors, Multiples & Primes

Year 4 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.

1.76,618 is divisible by 3.

Answer: False

The digit sum is 28, which is not divisible by 3.

2.Which number is divisible by 9?
  1. A64,242
  2. B40,040
  3. C93,774
  4. D34,437

Answer: 64,242

The digit sum is 18, which is divisible by 9.

3.Find the missing digit so that 9 (answer space)472 is divisible by 9.

Answer: 5

  1. The digit sum is 27, which is divisible by 9.

Only the digit 5 works.

4.91,771 is divisible by 9.

Answer: False

The digit sum is 25, which is not divisible by 9.

5.Which number is divisible by 6?
  1. A23,063
  2. B93,971
  3. C18,363
  4. D90,870

Answer: 90,870

It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 24 (a multiple of 3).

6.Find the missing digit so that 892 (answer space)9 is divisible by 9.

Answer: 8

  1. The digit sum is 36, which is divisible by 9.

Only the digit 8 works.

7.54,600 is divisible by 8.

Answer: True

The last three digits make 600, which is divisible by 8.

8.Which number is divisible by 3?
  1. A38,383
  2. B79,423
  3. C2,040
  4. D99,941

Answer: 2,040

The digit sum is 6, which is divisible by 3.

9.Find the missing digit so that 3011 (answer space) is divisible by 9.

Answer: 4

  1. The digit sum is 9, which is divisible by 9.

Only the digit 4 works.

10.97,656 is divisible by 4.

Answer: True

The last two digits make 56, which is divisible by 4.

11.Which number is divisible by 6?
  1. A49,507
  2. B84,464
  3. C54,867
  4. D97,254

Answer: 97,254

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 27 (a multiple of 3).

12.Find the missing digit so that 44 (answer space)29 is divisible by 9.

Answer: 8

  1. The digit sum is 27, which is divisible by 9.

Only the digit 8 works.

Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free for personal and classroom use

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.