Success TutoringWorksheets

Year 6 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 6 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 6 · Mathematics · Factors, Multiples & Primes

Year 6 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.

1.59,238 is divisible by 9.

Answer: True

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

2.Which number is divisible by 3?
  1. A35,984
  2. B32,421
  3. C9,017
  4. D1,252

Answer: 32,421

The digit sum is 12, which is divisible by 3.

3.Find the missing digit so that 9978 (answer space) is divisible by 9.

Answer: 3

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

Only the digit 3 works.

4.53,144 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 17 (not a multiple of 3).

5.Which number is divisible by 9?
  1. A69,439
  2. B92,493
  3. C42,996
  4. D4,665

Answer: 92,493

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

6.Find the missing digit so that 1750 (answer space) is divisible by 9.

Answer: 5

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

Only the digit 5 works.

7.77,367 is divisible by 9.

Answer: False

The digit sum is 30, which is not divisible by 9.

8.Which number is divisible by 4?
  1. A32,005
  2. B92,905
  3. C17,808
  4. D57,325

Answer: 17,808

The last two digits make 8, which is divisible by 4.

9.Find the missing digit so that 8 (answer space)501 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

10.36,597 is divisible by 9.

Answer: False

The digit sum is 30, which is not divisible by 9.

11.Which number is divisible by 9?
  1. A68,092
  2. B64,738
  3. C40,499
  4. D51,651

Answer: 51,651

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

12.Find the missing digit so that 61 (answer space)13 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.