DANEMATHICS
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Grade 11 · Exponents & Surds
Surds: Simplifying & Rationalising (Grade 11)
MEMORANDUM
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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
    Simplify 72
    (2)
    62✓✓ (2)
  2. 2
    Simplify 50
    (2)
    52✓✓ (2)
  3. 3
    Simplify 98
    (2)
    72✓✓ (2)
  4. 4
    Simplify 12 + 27
    (2)
    23 + 33 = 53✓✓ (2)
  5. 5
    Simplify 32 + 50
    (2)
    82✓✓ (2)
  6. 6
    Simplify 5 × 20
    (2)
    100 = 10✓✓ (2)
  7. 7
    Expand (3 + 2)(3 − 5)
    (2)
    −7 − 33✓✓ (2)
  8. 8
    Rationalise 63
    (2)
    23✓✓ (2)
  9. 9
    Rationalise 15
    (2)
    55✓✓ (2)
  10. 10
    Rationalise 41 + 2
    (2)
    −4 + 42✓✓ (2)
TOTAL: 20 marks
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