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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.

1.19,741 is divisible by 8.

Answer: False

The last three digits make 741, which is not divisible by 8.

2.Which number is divisible by 3?
  1. A86,944
  2. B51,888
  3. C98,375
  4. D28,342

Answer: 51,888

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

3.Find the missing digit so that 6420 (answer space) is divisible by 9.

Answer: 6

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

Only the digit 6 works.

4.5,436 is divisible by 9.

Answer: True

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

5.Which number is divisible by 8?
  1. A96,696
  2. B61,148
  3. C30,677
  4. D6,825

Answer: 96,696

The last three digits make 696, which is divisible by 8.

6.Find the missing digit so that 3 (answer space)412 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

7.91,710 is divisible by 9.

Answer: True

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

8.Which number is divisible by 6?
  1. A37,558
  2. B12,808
  3. C99,816
  4. D30,196

Answer: 99,816

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 33 (a multiple of 3).

9.Find the missing digit so that 61 (answer space)43 is divisible by 9.

Answer: 4

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

Only the digit 4 works.

10.25,627 is divisible by 9.

Answer: False

The digit sum is 22, which is not divisible by 9.

11.Which number is divisible by 6?
  1. A12,688
  2. B30,715
  3. C54,661
  4. D38,436

Answer: 38,436

It must divide by 2 and by 3: the last digit is 6 (even) and the digit sum is 24 (a multiple of 3).

12.Find the missing digit so that 895 (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.

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