Football Scores

If you know the final score of a football match, what might the half time score have been?

Football Stadium

For example:

Somewhere City 5 - 3 Fiction FC

Write down all of the possible scores at half time.

Is there a quick way to figure out how many possibilities there are?

Investigate

Football Scores Trophy Challenge

You can earn a Transum Trophy for the work you do for this investigation. If you can complete the table below then a virtual trophy will be awarded to you.

1. How many different half-time scores could there have been if the final score was 3 - 1?		✓ ✗
2. How many different half-time scores could there have been if the final score was 3 - 2?		✓ ✗
3. How many different half-time scores could there have been if the final score was 5 - 3?		✓ ✗
4. How many different half-time scores could there have been if the final score was 7 - 4?		✓ ✗
5. How many different half-time scores could there have been if the final score was 5 - 8?		✓ ✗
6. How many different half-time scores could there have been if the final score was 9 - 12?		✓ ✗
7. How many different half-time scores could there have been if the final score was 7 - 15?		✓ ✗
8. When she found out the final score of the Wanderers vs Baggies game she calculated that there could have been 48 different half-time scores. If Wanderers scored 5 goals how many did Baggies score?		✓ ✗
9. When he found out the final score of the United vs City game he calculated that there could have been 55 different half-time scores. If United scored 10 goals how many did City score?		✓ ✗
10. A strange new fantasy game is called Tripfooty. The trip part of the name does not refer to foul play, it refers to the word triple. Three teams are involved in this weird game and when Huffletought, Snivenly and Sparrowthumb played a friendly game the final score was 3 - 2 - 2 How many different possibilities were there for the half-time score?		✓ ✗

Try some other activities that apply systematic listing strategies.

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