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Celeste International School

Grade 5 · Worksheet

The laws of arithmetic

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

    Calculate: 6 + 9 × 5

  2. 2.

    Calculate: 3 × 4 + 6

  3. 3.

    Eva writes 6 + 9 × 5 = 75. Is she correct?

    True False
  4. 4.

    Calculate: 27 ÷ 9 × 4

  5. 5.

    Calculate: (5 + 2) × 3

  6. 6.

    Calculate: (8 - 6) × 4

  7. 7.

    Calculate: (12 + 6) ÷ 3

  8. 8.

    Which calculation equals 40?

    1. A(3 + 7) × 4
    2. B3 + 7 × 4
    3. C3 × (7 + 4)
    4. D(3 × 7) + 4
  9. 9.

    Which sign makes this correct? 3 × (4 + 5) __ 3 × 4 + 5

    1. A>
    2. B<
    3. C=
  10. 10.

    Use the distributive law: 5 × (70 + 1)

  11. 11.

    Use the distributive law: 8 × (40 - 3)

  12. 12.

    Use the distributive law to work out 8 × 93.

  13. 13.

    Mandisa works out 7 × 5 × 8 × 2 by grouping the easy pairs. What is the answer?

  14. 14.

    2 × (3 + 4) = 2 × 3 + 4

    True False
  15. 15.

    Calculate: 2000 ÷ (10 + 10)

  16. 16.

    Which sign makes this correct? (8 + 6) ÷ 7 __ 8 + 6 ÷ 2

    1. A>
    2. B<
    3. C=
  17. 17.

    Which sign makes this correct? (8 + 6) ÷ 8 __ 2 + 6 ÷ 2

    1. A>
    2. B<
    3. C=
  18. 18.

    Which sign makes this correct? (8 + 6) ÷ 3 __ 7 + 6 ÷ 2

    1. A>
    2. B<
    3. C=
  19. 19.

    Which sign makes this correct? (8 + 6) ÷ 8 __ 6 + 6 ÷ 2

    1. A>
    2. B<
    3. C=
  20. 20.

    Which sign makes this correct? (8 + 6) ÷ 6 __ 4 + 6 ÷ 2

    1. A>
    2. B<
    3. C=
Celeste International School

Answer key

The laws of arithmetic

  1. 1.51
  2. 2.18
  3. 3.False
  4. 4.12
  5. 5.21
  6. 6.8
  7. 7.6
  8. 8.A. (3 + 7) × 4
  9. 9.A. >
  10. 10.355
  11. 11.296
  12. 12.744
  13. 13.560
  14. 14.False
  15. 15.100
  16. 16.B. <
  17. 17.A. >
  18. 18.B. <
  19. 19.A. >
  20. 20.A. >