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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.

1.83,209 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 9 (odd) and the digit sum is 22 (not a multiple of 3).

2.Which number is divisible by 6?
  1. A17,476
  2. B29,342
  3. C61,198
  4. D63,612

Answer: 63,612

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 18 (a multiple of 3).

3.Find the missing digit so that 6 (answer space)182 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

4.97,036 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 25 (not a multiple of 3).

5.Which number is divisible by 6?
  1. A15,358
  2. B72,250
  3. C29,058
  4. D14,787

Answer: 29,058

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 24 (a multiple of 3).

6.Find the missing digit so that 8 (answer space)522 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

7.79,224 is divisible by 6.

Answer: True

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 24 (a multiple of 3).

8.Which number is divisible by 9?
  1. A1,391
  2. B87,932
  3. C89,752
  4. D23,499

Answer: 23,499

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

9.Find the missing digit so that 5 (answer space)341 is divisible by 9.

Answer: 5

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

Only the digit 5 works.

10.35,262 is divisible by 3.

Answer: True

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

11.Which number is divisible by 3?
  1. A51,578
  2. B2,877
  3. C78,877
  4. D11,179

Answer: 2,877

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

12.Find the missing digit so that 482 (answer space)3 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

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