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Grade 10 · Algebraic Expressions
Real Numbers, Surds & Rounding (Grade 10)
MEMORANDUM
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Mark
  / 12

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
    Is √81 rational or irrational?
    (1)
    Rational — √81 = 9 exactly.✓ (1)
  2. 2
    Is √30 rational or irrational?
    (1)
    Irrational — 30 is not a perfect square.✓ (1)
  3. 3
    Between which two integers does √20 lie?
    (2)
    16 < 20 < 25 → 4 and 5✓✓ (2)
  4. 4
    Between which two integers does √54 lie?
    (2)
    49 < 54 < 64 → 7 and 8✓✓ (2)
  5. 5
    Between which two integers does √110 lie?
    (2)
    100 < 110 < 121 → 10 and 11✓✓ (2)
  6. 6
    Round 3,14159 to 3 decimal places.
    (1)
    3,142✓ (1)
  7. 7
    Round 7,3962 to 2 decimal places.
    (1)
    7,40✓ (1)
  8. 8
    Round 0,04567 to 3 decimal places.
    (1)
    0,046✓ (1)
  9. 9
    Is 0,272727… rational?
    (1)
    Yes — it recurs, so it can be written as a fraction.✓ (1)
TOTAL: 12 marks
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