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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.

1.87,846 is divisible by 3.

Answer: True

The digit sum is 33, which is divisible by 3.

2.Which number is divisible by 6?
  1. A89,407
  2. B80,274
  3. C82,391
  4. D84,293

Answer: 80,274

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 21 (a multiple of 3).

3.Find the missing digit so that 3 (answer space)554 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

4.31,100 is divisible by 4.

Answer: True

The last two digits make 0, which is divisible by 4.

5.Which number is divisible by 8?
  1. A63,120
  2. B41,589
  3. C60,719
  4. D80,203

Answer: 63,120

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

6.Find the missing digit so that 44 (answer space)38 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

7.62,128 is divisible by 8.

Answer: True

The last three digits make 128, which is divisible by 8.

8.Which number is divisible by 4?
  1. A87,644
  2. B57,825
  3. C80,438
  4. D70,821

Answer: 87,644

The last two digits make 44, which is divisible by 4.

9.Find the missing digit so that 3930 (answer space) is divisible by 9.

Answer: 3

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

Only the digit 3 works.

10.21,314 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 11 (not a multiple of 3).

11.Which number is divisible by 8?
  1. A34,589
  2. B45,779
  3. C69,888
  4. D21,497

Answer: 69,888

The last three digits make 888, which is divisible by 8.

12.Find the missing digit so that 6 (answer space)031 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

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