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Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers

Answer sheet with worked solutions for the Year 7 factors, multiples & primes worksheet.

Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Factors, Multiples & Primes

Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 3 — Answers

Use the divisibility rules. For 3 and 9 add the digits; for 4 and 8 look at the last two or three digits.

1.24,552 is divisible by 9.

Answer: True

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

2.Which number is divisible by 4?
  1. A17,115
  2. B15,176
  3. C41,953
  4. D11,615

Answer: 15,176

The last two digits make 76, which is divisible by 4.

3.Find the missing digit so that 3632 (answer space) is divisible by 9.

Answer: 4

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

Only the digit 4 works.

4.93,784 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 31 (not a multiple of 3).

5.Which number is divisible by 3?
  1. A54,403
  2. B30,015
  3. C71,557
  4. D60,331

Answer: 30,015

The digit sum is 9, which is divisible by 3.

6.Find the missing digit so that 3671 (answer space) is divisible by 9.

Answer: 1

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

Only the digit 1 works.

7.83,260 is divisible by 4.

Answer: True

The last two digits make 60, which is divisible by 4.

8.Which number is divisible by 6?
  1. A40,174
  2. B41,776
  3. C53,780
  4. D91,146

Answer: 91,146

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 21 (a multiple of 3).

9.Find the missing digit so that 431 (answer space)8 is divisible by 9.

Answer: 2

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

Only the digit 2 works.

10.75,800 is divisible by 3.

Answer: False

The digit sum is 20, which is not divisible by 3.

11.Which number is divisible by 6?
  1. A19,558
  2. B74,501
  3. C31,302
  4. D88,741

Answer: 31,302

It must divide by 2 and by 3: the last digit is 2 (even) and the digit sum is 9 (a multiple of 3).

12.Find the missing digit so that 43 (answer space)07 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

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