Solution

23737

Problem / game
First name
Samuel Fawcett
School
Wycheproof P-12 College
Country
Age
15

Half Time
The halftime score could have been anything from 0-0 to 4-2, there is no way to tell exclusively what the halftime score was from the information provided. However, most people will assume that the score was 2-1.
To find all of the possible scores, we can use a Stem and Leaf plot. By doing this, we also ensure that we don’t miss any scores.
Spain Belgium
0 0, 1, 2
1 0, 1, 2
2 0, 1, 2
3 0, 1, 2
4 0, 1, 2
So all of the possible halftime scores are:
0-0, 0-1, 0-2, 1-0, 1-1, 1-2, 2-0, 2-1, 2-2, 3-0, 3-1, 3-2, 4-0, 4-1, 4-2

In the Men’s Hockey in the 2000 Olympics, the halftime scores from their 3-3 before penalty can be ascertained in the same way.
Netherlands Korea
0 0, 1, 2, 3
1 0, 1, 2, 3
2 0, 1, 2, 3
3 0, 1, 2, 3
All of the possible halftime scores are:
0-0, 0-1, 0-2, 0-3, 1-0, 1-1, 1-2, 1-3, 2-0, 2-1, 2-2, 2-3, 3-0, 3-1, 3-2, 3-3