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Year 6 Divisibility Rules Worksheet — Level 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 — Answers

Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.

1.20,017 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 7 (odd) and the digit sum is 10 (not a multiple of 3).

2.Which number is divisible by 8?
  1. A80,623
  2. B58,579
  3. C79,777
  4. D36,832

Answer: 36,832

The last three digits make 832, which is divisible by 8.

3.Find the missing digit so that 8 (answer space)823 is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.94,179 is divisible by 8.

Answer: False

The last three digits make 179, which is not divisible by 8.

5.Which number is divisible by 9?
  1. A87,802
  2. B44,388
  3. C76,370
  4. D84,291

Answer: 44,388

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

6.Find the missing digit so that 51 (answer space)46 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

7.19,586 is divisible by 4.

Answer: False

The last two digits make 86, which is not divisible by 4.

8.Which number is divisible by 6?
  1. A10,492
  2. B82,638
  3. C50,613
  4. D54,746

Answer: 82,638

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 27 (a multiple of 3).

9.Find the missing digit so that 195 (answer space)8 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

10.16,784 is divisible by 8.

Answer: True

The last three digits make 784, which is divisible by 8.

11.Which number is divisible by 3?
  1. A25,149
  2. B75,484
  3. C14,362
  4. D95,701

Answer: 25,149

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

12.Find the missing digit so that 91 (answer space)90 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

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