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Year 5 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.22,685 is divisible by 9.

Answer: False

The digit sum is 23, which is not divisible by 9.

2.Which number is divisible by 3?
  1. A80,842
  2. B11,077
  3. C62,651
  4. D18,795

Answer: 18,795

The digit sum is 30, which is divisible by 3.

3.Find the missing digit so that 545 (answer space)1 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

4.47,939 is divisible by 9.

Answer: False

The digit sum is 32, which is not divisible by 9.

5.Which number is divisible by 6?
  1. A23,373
  2. B53,598
  3. C32,049
  4. D36,059

Answer: 53,598

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 30 (a multiple of 3).

6.Find the missing digit so that 5054 (answer space) is divisible by 9.

Answer: 4

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

Only the digit 4 works.

7.18,536 is divisible by 8.

Answer: True

The last three digits make 536, which is divisible by 8.

8.Which number is divisible by 3?
  1. A84,677
  2. B37,493
  3. C45,764
  4. D56,667

Answer: 56,667

The digit sum is 30, which is divisible by 3.

9.Find the missing digit so that 41 (answer space)91 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

10.34,543 is divisible by 3.

Answer: False

The digit sum is 19, which is not divisible by 3.

11.Which number is divisible by 6?
  1. A28,065
  2. B83,274
  3. C33,585
  4. D91,779

Answer: 83,274

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

12.Find the missing digit so that 5185 (answer space) 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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