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Year 4 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 4 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 4 · Mathematics · Factors, Multiples & Primes

Year 4 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.

1.97,110 is divisible by 6.

Answer: True

It must divide by 2 and by 3: the last digit is 0 (even) and the digit sum is 18 (a multiple of 3).

2.Which number is divisible by 9?
  1. A18,477
  2. B25,460
  3. C9,741
  4. D40,073

Answer: 18,477

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

3.Find the missing digit so that 3084 (answer space) is divisible by 9.

Answer: 3

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

Only the digit 3 works.

4.10,864 is divisible by 4.

Answer: True

The last two digits make 64, which is divisible by 4.

5.Which number is divisible by 9?
  1. A73,720
  2. B9,613
  3. C61,938
  4. D80,661

Answer: 61,938

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

6.Find the missing digit so that 589 (answer space)3 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

7.51,595 is divisible by 3.

Answer: False

The digit sum is 25, which is not divisible by 3.

8.Which number is divisible by 9?
  1. A82,540
  2. B46,625
  3. C26,118
  4. D15,492

Answer: 26,118

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

9.Find the missing digit so that 2926 (answer space) is divisible by 9.

Answer: 8

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

Only the digit 8 works.

10.99,912 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 30 (a multiple of 3).

11.Which number is divisible by 3?
  1. A34,868
  2. B20,018
  3. C77,223
  4. D65,690

Answer: 77,223

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

12.Find the missing digit so that 6 (answer space)109 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

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