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Year 5 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 5 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 5 · Mathematics · Factors, Multiples & Primes

Year 5 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.

1.29,722 is divisible by 8.

Answer: False

The last three digits make 722, which is not divisible by 8.

2.Which number is divisible by 6?
  1. A17,340
  2. B63,944
  3. C65,631
  4. D31,699

Answer: 17,340

It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 15 (a multiple of 3).

3.Find the missing digit so that 83 (answer space)54 is divisible by 9.

Answer: 7

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

Only the digit 7 works.

4.75,624 is divisible by 4.

Answer: True

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

5.Which number is divisible by 3?
  1. A41,147
  2. B42,464
  3. C37,128
  4. D70,336

Answer: 37,128

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

6.Find the missing digit so that 83 (answer space)50 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

7.1,212 is divisible by 6.

Answer: True

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 6 (a multiple of 3).

8.Which number is divisible by 9?
  1. A37,551
  2. B62,256
  3. C7,281
  4. D46,424

Answer: 7,281

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

9.Find the missing digit so that 40 (answer space)83 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

10.42,390 is divisible by 3.

Answer: True

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

11.Which number is divisible by 8?
  1. A47,790
  2. B11,496
  3. C47,081
  4. D74,403

Answer: 11,496

The last three digits make 496, which is divisible by 8.

12.Find the missing digit so that 8 (answer space)408 is divisible by 9.

Answer: 7

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

Only the digit 7 works.

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