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O-LevelAdditional MathematicsIndices and surds4037/12 · May/June 2019 · Q46 Marks

Given that (pr²) ^(1/2) √qr / q²(pr²)^(-1) can be written in the form p^a q^b r^c, find the value of each of the constants a, b and c.

  1. (a)Given that (pr²) ^(1/2) √qr / q²(pr²)^(-1) can be written in the form p^a q^b r^c, find the value of each of the constants a, b and c.[3]
  2. (b)Solve 3x^(1/2) - y^(-1/2) = 4, 4x^(1/2) + 3y^(-1/2) = 14.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] a=5/2
  2. [B1] b=-3/2
  3. [B1] c=11/2
  4. [M1] For attempt to solve simultaneous equations. Must reach kx^(1/2) = ... or ky^(-1/2) = ... oe
  5. [A1] x = 4
  6. [A1] y = 1/4

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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, May/June 2019 Paper 1 Variant 2, question 4.

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