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Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 — 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.

1.54,274 is divisible by 3.

Answer: False

The digit sum is 22, which is not divisible by 3.

2.Which number is divisible by 8?
  1. A3,908
  2. B4,037
  3. C11,983
  4. D42,896

Answer: 42,896

The last three digits make 896, which is divisible by 8.

3.Find the missing digit so that 5 (answer space)291 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

4.28,335 is divisible by 4.

Answer: False

The last two digits make 35, which is not divisible by 4.

5.Which number is divisible by 6?
  1. A49,217
  2. B93,353
  3. C9,930
  4. D15,497

Answer: 9,930

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 5614 (answer space) is divisible by 9.

Answer: 2

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

Only the digit 2 works.

7.75,341 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 1 (odd) and the digit sum is 20 (not a multiple of 3).

8.Which number is divisible by 8?
  1. A71,950
  2. B79,031
  3. C26,528
  4. D40,669

Answer: 26,528

The last three digits make 528, which is divisible by 8.

9.Find the missing digit so that 250 (answer space)0 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

10.68,076 is divisible by 3.

Answer: True

The digit sum is 27, which is divisible by 3.

11.Which number is divisible by 3?
  1. A26,099
  2. B41,363
  3. C91,092
  4. D12,910

Answer: 91,092

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

12.Find the missing digit so that 575 (answer space)8 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

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