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Year 6 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 — 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.

1.95,324 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 23 (not a multiple of 3).

2.Which number is divisible by 8?
  1. A99,506
  2. B97,955
  3. C91,120
  4. D95,162

Answer: 91,120

The last three digits make 120, which is divisible by 8.

3.Find the missing digit so that 3972 (answer space) is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.12,164 is divisible by 3.

Answer: False

The digit sum is 14, which is not divisible by 3.

5.Which number is divisible by 6?
  1. A15,738
  2. B77,275
  3. C14,003
  4. D55,127

Answer: 15,738

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 9493 (answer space) is divisible by 9.

Answer: 2

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

Only the digit 2 works.

7.16,420 is divisible by 4.

Answer: True

The last two digits make 20, which is divisible by 4.

8.Which number is divisible by 8?
  1. A11,047
  2. B39,431
  3. C75,440
  4. D98,451

Answer: 75,440

The last three digits make 440, which is divisible by 8.

9.Find the missing digit so that 908 (answer space)6 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

10.51,668 is divisible by 6.

Answer: False

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 26 (not a multiple of 3).

11.Which number is divisible by 8?
  1. A17,601
  2. B5,648
  3. C12,484
  4. D79,147

Answer: 5,648

The last three digits make 648, which is divisible by 8.

12.Find the missing digit so that 130 (answer space)1 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

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