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Year 8 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 8 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Factors, Multiples & Primes

Year 8 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.

1.73,668 is divisible by 3.

Answer: True

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

2.Which number is divisible by 4?
  1. A29,348
  2. B55,619
  3. C32,073
  4. D41,146

Answer: 29,348

The last two digits make 48, which is divisible by 4.

3.Find the missing digit so that 9354 (answer space) is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.86,038 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 25 (not a multiple of 3).

5.Which number is divisible by 9?
  1. A14,859
  2. B61,963
  3. C54,636
  4. D62,822

Answer: 14,859

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

6.Find the missing digit so that 52 (answer space)4 is divisible by 9.

Answer: 7

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

Only the digit 7 works.

7.58,185 is divisible by 3.

Answer: True

The digit sum is 27, which is divisible by 3.

8.Which number is divisible by 9?
  1. A82,830
  2. B3,605
  3. C79,579
  4. D83,097

Answer: 83,097

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

9.Find the missing digit so that 3 (answer space)85 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

10.15,415 is divisible by 9.

Answer: False

The digit sum is 16, which is not divisible by 9.

11.Which number is divisible by 9?
  1. A85,623
  2. B19,020
  3. C65,808
  4. D5,431

Answer: 65,808

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

12.Find the missing digit so that 592 (answer space)3 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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