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O-LevelAdditional MathematicsIndices and surds4037/12 · Oct/Nov 2021 · Q27 Marks

Given that `√xy(zy)² / (xz)⁻³√z = xᵃyᵇzᶜ`, find the exact values of the constants a, b and c.

  1. (a)Given that `√xy(zy)² / (xz)⁻³√z = xᵃyᵇzᶜ`, find the exact values of the constants a, b and c.[3]
  2. (b)Solve the equation `5(2²ᵖ⁺¹)-17(2ᵖ) +3 = 0`.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [B1] a = 10/3 or 3 1/3
  2. [B1] b = 7/3 or 2 1/3
  3. [B1] c = 9/2 or 4 1/2 or 4.5
  4. [M1] For recognition of a quadratic in 2ᵖ, attempt to factorise and solve for 2ᵖ
  5. [M1] For correct attempt to deal with 2ᵖ = k
  6. [A1] -2.32
  7. [A1] 0.585

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2021 Paper 1 Variant 2, question 2.

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