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O-LevelAdditional MathematicsStraight line graphs4037/11 · May/June 2019 · Q109 Marks

When lg y is plotted against x² a straight line graph is obtained which passes through the points (2, 4) and (6, 16).

  1. (i)Show that y = 10^(A+Bx²), where A and B are constants.[4]
  2. (ii)Find y when x = 1/√3.[2]
  3. (iii)Find the positive value of x when y = 2.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [M1] correct equation or for correct method for finding constant.
  2. [B1] statement soi by their A and B lg y = A + Bx²
  3. [B1] B = 3
  4. [A1] A = -2
  5. [M1] correct use of their A and B
  6. [A1] y = 0.1 oe
  7. [M1] correct use of their A and B
  8. [M1] complete correct method to solve for x
  9. [A1] x = 0.876

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 9 marks.
Source
O-Level Additional Mathematics, May/June 2019 Paper 1 Variant 1, question 10.

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