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Grade 8 · Integers
Integers: Squares, Cubes, Roots & Mixed Operations
MEMORANDUM
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Class: 
Date: 
Mark
  / 14

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    (−5)2
    (1)
    (−5)(−5) = 25 (even power → positive)✓ (1)
  2. 2
    (−2)3
    (1)
    (−2)(−2)(−2) = −8 (odd power stays negative)✓ (1)
  3. 3
    −42
    (1)
    −(4 × 4) = −16 (no bracket, so only the 4 is squared)✓ (1)
  4. 4
    (−4)2
    (1)
    (−4)(−4) = 16✓ (1)
  5. 5
    √64
    (1)
    8✓ (1)
  6. 6
    ∛(−27)
    (1)
    −3, because (−3)(−3)(−3) = −27✓ (1)
  7. 7
    −10 + (−2) × 5
    (2)
    × first: (−2) × 5 = −10 → −10 + (−10) = −20✓✓ (2)
  8. 8
    (−3)2 − 4 × (−2)
    (2)
    9 − (−8) = 9 + 8 = 17✓✓ (2)
  9. 9
    (−20 + 8) ÷ (−3)
    (2)
    Brackets: −12; then (−12) ÷ (−3) = 4✓✓ (2)
  10. 10
    √36 + (−2)3
    (2)
    6 + (−8) = −2✓✓ (2)
TOTAL: 14 marks
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