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Year 7 Divisibility Rules Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

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

1.22,438 is divisible by 9.

Answer: False

The digit sum is 19, which is not divisible by 9.

2.Which number is divisible by 6?
  1. A48,633
  2. B41,271
  3. C97,434
  4. D16,591

Answer: 97,434

It must divide by 2 and by 3: the last digit is 4 (even) and the digit sum is 27 (a multiple of 3).

3.Find the missing digit so that 6 (answer space)625 is divisible by 9.

Answer: 8

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

Only the digit 8 works.

4.78,504 is divisible by 4.

Answer: True

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

5.Which number is divisible by 9?
  1. A30,974
  2. B13,541
  3. C76,289
  4. D63,306

Answer: 63,306

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

6.Find the missing digit so that 98 (answer space)90 is divisible by 9.

Answer: 1

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

Only the digit 1 works.

7.99,345 is divisible by 3.

Answer: True

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

8.Which number is divisible by 3?
  1. A28,941
  2. B2,635
  3. C24,595
  4. D61,262

Answer: 28,941

The digit sum is 24, which is divisible by 3.

9.Find the missing digit so that 3571 (answer space) is divisible by 9.

Answer: 2

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

Only the digit 2 works.

10.75,114 is divisible by 9.

Answer: True

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

11.Which number is divisible by 4?
  1. A72,411
  2. B62,344
  3. C7,030
  4. D32,366

Answer: 62,344

The last two digits make 44, which is divisible by 4.

12.Find the missing digit so that 79 (answer space)39 is divisible by 9.

Answer: 8

  1. The digit sum is 36, which is divisible by 9.

Only the digit 8 works.

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