Success TutoringWorksheets

Year 5 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 5 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Factors, Multiples & Primes

Year 5 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.

1.89,070 is divisible by 6.

Answer: True

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

2.Which number is divisible by 3?
  1. A29,643
  2. B38,240
  3. C86,698
  4. D40,259

Answer: 29,643

The digit sum is 24, which is divisible by 3.

3.Find the missing digit so that 1 (answer space)400 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

4.31,451 is divisible by 4.

Answer: False

The last two digits make 51, which is not divisible by 4.

5.Which number is divisible by 4?
  1. A79,001
  2. B43,509
  3. C84,056
  4. D38,997

Answer: 84,056

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

6.Find the missing digit so that 45 (answer space)1 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

7.76,513 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 3 (odd) and the digit sum is 22 (not a multiple of 3).

8.Which number is divisible by 3?
  1. A29,945
  2. B15,195
  3. C90,386
  4. D79,546

Answer: 15,195

The digit sum is 21, which is divisible by 3.

9.Find the missing digit so that 5874 (answer space) is divisible by 9.

Answer: 3

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

Only the digit 3 works.

10.59,733 is divisible by 9.

Answer: True

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

11.Which number is divisible by 3?
  1. A34,912
  2. B61,372
  3. C48,141
  4. D36,503

Answer: 48,141

The digit sum is 18, which is divisible by 3.

12.Find the missing digit so that 1307 (answer space) is divisible by 9.

Answer: 7

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

Only the digit 7 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.