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.
- (i)Write down the sum of two matrix products which, on evaluation, would give the total score for each contestant.[3]
- (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.
- [B1] (i) (5 3 1) or transpose
- [B1+B1] (i) (2 5 2) + (8 4 2) or transpose
- [B1] (ii) (30 56) or (70 82) from correct part (i)
- [B1] (ii) Claire 70 and Denise 82
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