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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.

1.20,058 is divisible by 8.

Answer: False

The last three digits make 58, which is not divisible by 8.

2.Which number is divisible by 6?
  1. A99,195
  2. B33,769
  3. C94,409
  4. D10,728

Answer: 10,728

It must divide by 2 and by 3: the last digit is 8 (even) and the digit sum is 18 (a multiple of 3).

3.Find the missing digit so that 1 (answer space)261 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

4.48,576 is divisible by 8.

Answer: True

The last three digits make 576, which is divisible by 8.

5.Which number is divisible by 9?
  1. A54,433
  2. B40,365
  3. C74,989
  4. D8,358

Answer: 40,365

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

6.Find the missing digit so that 11 (answer space)13 is divisible by 9.

Answer: 3

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

Only the digit 3 works.

7.90,756 is divisible by 8.

Answer: False

The last three digits make 756, which is not divisible by 8.

8.Which number is divisible by 9?
  1. A48,501
  2. B30,603
  3. C1,141
  4. D69,940

Answer: 48,501

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

9.Find the missing digit so that 5 (answer space)682 is divisible by 9.

Answer: 6

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

Only the digit 6 works.

10.45,328 is divisible by 8.

Answer: True

The last three digits make 328, which is divisible by 8.

11.Which number is divisible by 3?
  1. A80,698
  2. B1,378
  3. C71,935
  4. D65,748

Answer: 65,748

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

12.Find the missing digit so that 7 (answer space)330 is divisible by 9.

Answer: 5

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

Only the digit 5 works.

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