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Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 2 — 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 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.

1.36,064 is divisible by 8.

Answer: True

The last three digits make 64, which is divisible by 8.

2.Which number is divisible by 3?
  1. A25,153
  2. B58,989
  3. C80,042
  4. D8,341

Answer: 58,989

The digit sum is 39, which is divisible by 3.

3.Find the missing digit so that 4 (answer space)739 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

4.77,068 is divisible by 4.

Answer: True

The last two digits make 68, which is divisible by 4.

5.Which number is divisible by 9?
  1. A13,262
  2. B41,907
  3. C61,119
  4. D57,730

Answer: 61,119

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

6.Find the missing digit so that 3 (answer space)716 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

7.97,582 is divisible by 9.

Answer: False

The digit sum is 31, which is not divisible by 9.

8.Which number is divisible by 4?
  1. A9,703
  2. B79,750
  3. C70,136
  4. D49,794

Answer: 70,136

The last two digits make 36, which is divisible by 4.

9.Find the missing digit so that 452 (answer space)8 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

10.52,313 is divisible by 8.

Answer: False

The last three digits make 313, which is not divisible by 8.

11.Which number is divisible by 6?
  1. A71,653
  2. B73,775
  3. C48,486
  4. D32,734

Answer: 48,486

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 30 (a multiple of 3).

12.Find the missing digit so that 17 (answer space)77 is divisible by 9.

Answer: 5

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

Only the digit 5 works.

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