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O-LevelAdditional MathematicsLogarithmic and exponential functions4037/12 · Oct/Nov 2023 · Q35 Marks

When ln (y+2) is plotted against x² a straight line graph is obtained. The line passes through the points (2.25, 9.37) and (4.75, 3.92). Find y in terms of x.

Mark scheme

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

  1. [5] B1 ln(y+2)=mx² +c soi
  2. [5] M1 Use of a correct equation with their gradient and c
  3. [5] Dep M1 for attempt to solve for at least one unknown.
  4. [5] A1 for both.
  5. [5] A1 FT on the first M1 for their m and c

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About this question

Topic
Logarithmic and exponential functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2023 Paper 1 Variant 2, question 3.

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