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O-LevelAdditional MathematicsSimultaneous equations4037/22 · May/June 2012 · Q45 Marks

In a competition the contestants search for hidden targets which are classed as difficult, medium or easy. In the first round, finding a difficult target scores 5 points, a medium target 3 points and an easy target 1 point. The number of targets found by the two contestants, Claire and Denise, are shown in the table. Target Contestant | Difficult | Medium | Easy Claire | 4 | 1 | 7 Denise | 2 | 5 | 1 In the second round, finding a difficult target scores 8 points, a medium target 4 points and an easy target 2 points. In the second round Claire finds 2 difficult, 5 medium and 2 easy targets whilst Denise finds 4 difficult, 3 medium and 6 easy targets.

  1. (i)Write down the sum of two matrix products which, on evaluation, would give the total score for each contestant.[3]
  2. (ii)Use matrix multiplication and addition to calculate the total score for each contestant.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] (i) (5 3 1) or transpose
  2. [B1+B1] (i) (2 5 2) + (8 4 2) or transpose
  3. [B1] (ii) (30 56) or (70 82) from correct part (i)
  4. [B1] (ii) Claire 70 and Denise 82

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About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2012 Paper 2 Variant 2, question 4.

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