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O-LevelAdditional MathematicsStraight line graphs4037/12 · May/June 2010 · Q45 Marks

Variables x and y are such that, when y² is plotted against secx, a straight line graph passing through the points (2.4, 1.6) and (1.3, 3.8) is obtained. [Figure 4]

  1. (i)Express y² in terms of secx.[3]
  2. (ii)Hence find the exact value of cosx when y = 2.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. B1 for gradient
  2. M1 for correct attempt to link y² and sec x
  3. A1
  4. DM1 for attempt to solve their equation using y = 2
  5. A1

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 2, question 4.

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