Success TutoringWorksheets

Year 7 Divisibility Rules Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Factors, Multiples & Primes

Year 7 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.

1.65,050 is divisible by 9.

Answer: False

The digit sum is 16, which is not divisible by 9.

2.Which number is divisible by 4?
  1. A58,924
  2. B28,486
  3. C73,133
  4. D47,621

Answer: 58,924

The last two digits make 24, which is divisible by 4.

3.Find the missing digit so that 23 (answer space)64 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

4.45,550 is divisible by 4.

Answer: False

The last two digits make 50, which is not divisible by 4.

5.Which number is divisible by 6?
  1. A98,811
  2. B25,676
  3. C48,351
  4. D93,720

Answer: 93,720

It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 21 (a multiple of 3).

6.Find the missing digit so that 7143 (answer space) is divisible by 9.

Answer: 3

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

Only the digit 3 works.

7.32,720 is divisible by 8.

Answer: True

The last three digits make 720, which is divisible by 8.

8.Which number is divisible by 6?
  1. A27,533
  2. B66,522
  3. C99,056
  4. D19,585

Answer: 66,522

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 21 (a multiple of 3).

9.Find the missing digit so that 5 (answer space)074 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

10.31,240 is divisible by 4.

Answer: True

The last two digits make 40, which is divisible by 4.

11.Which number is divisible by 9?
  1. A17,556
  2. B56,772
  3. C10,324
  4. D98,251

Answer: 56,772

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

12.Find the missing digit so that 3 (answer space)421 is divisible by 9.

Answer: 8

  1. The digit sum is 18, 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.