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Half-time Scores. The full-time score in a game of hockey was 3 – 4. What could the score have been at half-time?. Work with a friend and write down as many different half-time scores as you can on the blank cards provided. 2 - 1. 0 - 1. 1 - 0. 1 - 1. 2 - 2. 3 - 2. 2 - 4. 2 - 0.
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Half-time Scores The full-time score in a game of hockey was 3 – 4. What could the score have been at half-time? Work with a friend and write down as many different half-time scores as you can on the blank cards provided.
2 - 1 0 - 1 1 - 0 1 - 1 2 - 2 3 - 2 2 - 4 2 - 0 0 - 2 3 - 4 1 - 3 0 - 0 3 - 1 3 - 3 1 - 4 3 - 0 2 – 3
0 - 0 0 - 1 1 - 0 3 - 0 2 - 0 1 - 1 0 - 2 2 - 1 3 - 1 2 - 2 2 – 3 1 - 3 3 - 4 3 - 4 2 - 4 1 - 4 3 - 3 0 - ? 3 - ? 1 - ? 2 - ? DRAWS
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 4 3 - 2 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 4 3 - 2 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
0 - ? 3 - ? 1 - ? 2 - ? DRAWS 0 - 0 0 - 1 1 - 0 3 - 0 1 - 1 0 - 2 3 - 1 2 - 2 1 - 3 3 - 2 3 - 4 1 - 4 3 - 3 2 - 0 1 - 2 2 - 1 0 - 3 2 – 3 2 - 4 0 - 4
2 - 4 0 - 1 1 - 1 2 - 1 3 - 2 2 - 2 1 - 0 2 - 0 1 - 2 1 - 3 1 - 4 3 - 3 0 - 2 3 - 0 0 - 4 2 - 3 0 - 3 3 - 1 Sum of the scores 0 - 0 3 - 4
0 - 1 0 - 0 1 - 3 0 - 3 1 - 2 2 - 0 1 - 4 1 - 1 1 - 0 3 - 1 3 - 0 2 - 2 2 – 3 0 - 2 3 - 3 2 - 1 2 - 4 3 - 4 3 - 2 2 diff 4 diff 3 diff 1 diff 0 diff 0 - 4
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 4 - 0 1 - 0 3 - 0 2 - 0 0 - 1 4 - 1 1 - 1 3 - 1 2 - 1 0 - 2 1 - 2 4 - 2 2 - 2 3 - 2 1 - 4 3 - 4 0 - 4 4 - 4 2 - 4 2 – 3 1 - 3 3 - 3 0 - 3 4 - 3
0 - 0 0 - 1 0 - m 0 - 2 1 -m 1 - 0 n - 0 n - 1 n - m Number of half-time scores = (n+1)(m+1)