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Year 5 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 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.

1.20,617 is divisible by 3.

Answer: False

The digit sum is 16, which is not divisible by 3.

2.Which number is divisible by 8?
  1. A2,152
  2. B78,524
  3. C80,986
  4. D90,107

Answer: 2,152

The last three digits make 152, which is divisible by 8.

3.Find the missing digit so that 2 (answer space)388 is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.27,585 is divisible by 9.

Answer: True

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

5.Which number is divisible by 8?
  1. A6,104
  2. B30,129
  3. C86,353
  4. D4,519

Answer: 6,104

The last three digits make 104, which is divisible by 8.

6.Find the missing digit so that 54 (answer space)40 is divisible by 9.

Answer: 5

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

Only the digit 5 works.

7.72,499 is divisible by 4.

Answer: False

The last two digits make 99, which is not divisible by 4.

8.Which number is divisible by 6?
  1. A13,315
  2. B48,793
  3. C81,258
  4. D14,698

Answer: 81,258

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

9.Find the missing digit so that 3334 (answer space) is divisible by 9.

Answer: 5

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

Only the digit 5 works.

10.38,480 is divisible by 8.

Answer: True

The last three digits make 480, which is divisible by 8.

11.Which number is divisible by 6?
  1. A91,746
  2. B94,568
  3. C25,559
  4. D81,827

Answer: 91,746

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 27 (a multiple of 3).

12.Find the missing digit so that 25 (answer space)96 is divisible by 9.

Answer: 5

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

Only the digit 5 works.

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