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O-LevelAdditional MathematicsIndices and surds4037/22 · May/June 2022 · Q13 Marks

DO NOT USE A CALCULATOR IN THIS QUESTION. A curve has equation y = 6+ √x / 3+√x where x ≥ 0. Find the exact value of y when x = 6. Give your answer in the form a+b√c, where a, b and c are integers.

  1. DO NOT USE A CALCULATOR IN THIS QUESTION. A curve has equation y = 6+ √x / 3+√x where x ≥ 0. Find the exact value of y when x = 6. Give your answer in the form a+b√c, where a, b and c are integers.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [M1] [=] 6+√6 / 3+√6 × 3-√6 / 3-√6 oe, soi
  2. [M1] Correctly multiplies out correct expression: [y=] 18-6√6+3√6-6 / 9-6 oe
  3. [A1] [y =] 4-√6 not from wrong working

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About this question

Topic
Indices and surds, O-Level Additional Mathematics (syllabus 4037). Structured question, 3 marks.
Source
O-Level Additional Mathematics, May/June 2022 Paper 2 Variant 2, question 1.

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