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EDEXCEL DECISION MATHEMATICS D1 (6689) SPECIMEN PAPER MARK SCHEME ON Question number Scheme Marks 1. (a)  L M  N O  P  E C  H T S Bipartite graph B1 (1) (b) Initial matching B1 (1) (c) Alternating path M –  E = L – C = N –  H (breakthrough) M1 A1 (Changing status) M = E –  L = C –  N = H Complete Matching:  Nice—Ham, Oliver—Tuna, Patel—Salmon, Moore—Egg, Large—Cheese M1 A1 (4) (6 marks) 2. (a) Vertices of odd va le ncy C (3), D(3), T (3), N (3) M1 Possible pairings (i) C & D and T & N 13 + 2 = 15 A1 (ii) C & T and D & N 4 + 12 = 16 A1 (iii) C & N and D & T 3 + 10 = 13 A1 (iii) is min. So repeat CN & DT M1 Min distance (7 + 6 + 4 + 10 + 8 + 8 + 2 + 3) + 13 = 61 km (5) (b) Possible r oute ADTDBNTCNCA M1 A1 (2) (7 marks)

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Page 1: D1 Specimen MS

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