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O-LevelAdditional MathematicsIndices and surds4037/22 · Oct/Nov 2012 · Q66 Marks

Given that 2ˣ⁻³ / 8²ʸ⁻³ = 16ˣ⁻ʸ, show that 3x + 2y = 6.

  1. (i)Given that 2ˣ⁻³ / 8²ʸ⁻³ = 16ˣ⁻ʸ, show that 3x + 2y = 6.[2]
  2. (ii)Given also that 5ʸ / 125ˣ⁻² = 25, find the value of x and of y.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [M1] Express as powers of 2
  2. [A1 AG] Correctly reaches 3x + 2y = 6
  3. [M1] Express as powers of 5
  4. [A1] y = 3x - 4 o.e.
  5. [M1] Attempt to solve simultaneous equations
  6. [A1] x = 14/9 and y = 2/3

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 2 Variant 2, question 6.

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