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O-LevelAdditional MathematicsStraight line graphs4037/12 · May/June 2010 · Q77 Marks

The table shows values of the variables p and v which are related by the equation p = kvⁿ, where k and n are constants. ν 10 50 110 230 p 1412 151 53 19

  1. (i)Using graph paper, plot 1gp against lg vand draw a straight line graph. Use your graph to estimate[3]
  2. (ii)the value of n,[2]
  3. (iii)the value of p when v = 170.[2]

Mark scheme

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

  1. M1 for attempt to take logs and plot graph
  2. A2,1,0 -1 for each error either in table or on graph.
  3. M1 for use of gradient
  4. A1
  5. M1 for use of graph or their equation
  6. A1

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About this question

Topic
Straight line graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 7 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 2, question 7.

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