Can anyone good at maths please help me out?

[Slowhorses1]

I’m trying to devise a fair rotation system for our sports team players.
There are 14 players on the pitch at anyone time. We have 13 more matches (26 halves) of play left to the season. Squad is made up of 19 players (so essentially 5 subs) every match.

I want to come up with a system that gives everyone equal match time. Can anyone help?! This sort of stuff fries my brain. Am I being daft??

How long is each match?

With those numbers you'll have to do minutes on the pitch to make it completely fair/equal per player.

There are apps you can use.

Oh are there? I was searching for spreadsheets and haven’t had much luck. Problem is matched are pretty short (20 minutes each, so 10 minute halves). It’s a school club.

Everyone needs to play 19/26 playing time, I think.

Therfore, football half =‘45 minutes.

therefore, they play 19/26 X 45 minutes. = 32 minutes (approx) excluding extra time.

10 minute halves woukd result in 7 minute play.
(Hope that’s right)

14/19*26 = 19.158.

So 16 players get 19 half matches and 3 get 20.

16 19 + 3 20 = 364.

14*26 = 364.

If you want to be fairer than that then you will have to go down into minutes but that would be messy.

hmm might have to rethink this. Going to be way too hard to rotate after 7 minutes. Can anyone think of a better way to do it??

@Mumofteenandtween 🙌🙌🙌

Oops! I used a * as my multiplier and then got in a right mess with bold front and things!

Ok - let’s try that again.

14/19 x 26 = 19.158.

So 16 players get 19 half matches and 3 get 20.

16 x 19 + 3 x 20 = 364.

14 x 26 = 364.

Thank you! I worked it out in any case, super helpful!!

And to everyone else for their maths expertise

(my maths could be wrong)

Is this very small kids sports? School or club? I really love the idea of complete equal time. I really would like to hear how you are planning this and how it works.

With such short halves...

Number the players 1-19.
Match 1, half 1: 1-14.
Half 2: 6-19
2.1: 11-19, 1-5
2.2: 16-19, 1- 10.
3.1: 2-15
3.2: 7-19, 1.

And so on, in a rotational basis. Everyone plays at least one half in each game.

Does everybody get equal time? Are there specialist positions - e.g. goalkeeper - which can't be shared out.

There are no apecialist positions. We were trying to get everyone to have a go at the favourite positions though, but not sure if that over complicates it. We might need to do what @PuttingDownRoots suggests