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O-LevelAdditional MathematicsIndices and surds4037/22 · Oct/Nov 2023 · Q34 Marks

DO NOT USE A CALCULATOR IN THIS QUESTION. A cylinder has base radius (2+ √3)m and volume π(16+9√3)m³. Find the exact value of its height, giving your answer in its simplest form.

  1. DO NOT USE A CALCULATOR IN THIS QUESTION. A cylinder has base radius (2+ √3)m and volume π(16+9√3)m³. Find the exact value of its height, giving your answer in its simplest form.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [B1] (16+9√3) / (2+√3)²
  2. [M1] FT c(16+9√3) / (a+b√3) where a, b and c are non-zero constants
  3. [A1] 112 - 64√3 + 63√3 - 108 / -1
  4. [A1] 4 - √3 or √3 + 4 cao, nfww

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2023 Paper 2 Variant 2, question 3.

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