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Celeste International School

Grade 6 · Worksheet

Integers

Tests for divisibility

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    5840 is divisible by 2.

    True False
  2. 2.

    The last two digits of 1811 are 11. Is 1811 divisible by 4?

    1. Ano
    2. Byes
  3. 3.

    The last three digits of 3535 are 535. Is 3535 divisible by 8?

    1. Ano
    2. Byes
  4. 4.

    To test 9157 for divisibility by 7: remove the last digit to leave 915, then subtract twice the last digit. What number do you get?

  5. 5.

    What is the test for divisibility by 2?

    1. Athe last digit is 0, 2, 4, 6 or 8
    2. Bthe sum of the digits is a multiple of 3
    3. Cthe number made by the last two digits is divisible by 4
  6. 6.

    What is the sum of the digits of 9976?

  7. 7.

    The last two digits of 1484 are 84. Is 1484 divisible by 4?

    1. Ano
    2. Byes
  8. 8.

    What is the remainder when 301 is divided by 5?

  9. 9.

    For 74313, the digits in the odd places add to 13 and those in the even places add to 5. What is 13 − 5?

  10. 10.

    4750 is divisible by 10.

    True False
  11. 11.

    The digits of 6012 add up to 9. Is 6012 divisible by 3?

    1. Ayes
    2. Bno
  12. 12.

    Is 6520 divisible by 6?

    1. Ano
    2. Byes
  13. 13.

    Which of these divides exactly into 5116?

    1. A3
    2. B5
    3. C2
  14. 14.

    What is the test for divisibility by 4?

    1. Athe last digit is 0 or 5
    2. Bit is divisible by both 2 and 3
    3. Cthe number made by the last two digits is divisible by 4
  15. 15.

    3377 is divisible by 5.

    True False
  16. 16.

    The last two digits of 2048 are 48. Is 2048 divisible by 4?

    1. Ano
    2. Byes
  17. 17.

    The last three digits of 3772 are 772. Is 3772 divisible by 8?

    1. Ayes
    2. Bno
  18. 18.

    To test 5684 for divisibility by 7: remove the last digit to leave 568, then subtract twice the last digit. What number do you get?

  19. 19.

    What is the test for divisibility by 5?

    1. Athe last digit is 0 or 5
    2. Bthe last digit is 0, 2, 4, 6 or 8
    3. Cthe sum of the digits is a multiple of 3
  20. 20.

    What is the sum of the digits of 1213?

Celeste International School

Answer key

Integers — Tests for divisibility

  1. 1.True
  2. 2.A. no
  3. 3.A. no
  4. 4.901
  5. 5.A. the last digit is 0, 2, 4, 6 or 8
  6. 6.31
  7. 7.B. yes
  8. 8.1
  9. 9.8
  10. 10.True
  11. 11.A. yes
  12. 12.A. no
  13. 13.C. 2
  14. 14.C. the number made by the last two digits is divisible by 4
  15. 15.False
  16. 16.B. yes
  17. 17.B. no
  18. 18.560
  19. 19.A. the last digit is 0 or 5
  20. 20.7