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Grade 8 · Integers
Integers: Squares, Cubes, Roots & Mixed Operations
MEMORANDUM
Name: 
Class: 
Date: 
Mark
  / 20

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
    (2)
    (−5)(−5) = 25 (even power → positive)✓✓ (2)
  2. 2
    (−2)3
    (2)
    (−2)(−2)(−2) = −8 (odd power stays negative)✓✓ (2)
  3. 3
    −42
    (2)
    −(4 × 4) = −16 (no bracket, so only the 4 is squared)✓✓ (2)
  4. 4
    (−4)2
    (2)
    (−4)(−4) = 16✓✓ (2)
  5. 5
    64
    (2)
    8✓✓ (2)
  6. 6
    −27
    (2)
    −3, because (−3)(−3)(−3) = −27✓✓ (2)
  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: 20 marks
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