List

Play to Win

Can you use your mathematics to find a winning strategy for each of these games?

The Play to Win pathway on wild.maths.org introduces students to a range of strategy games and invites them to look for similarities and links between them.

The collection of related NRICH tasks below are ideal for teachers who want to promote creativity in the classroom. They are designed for classroom use, with accompanying Teachers' Notes and Resources.

Nim-7
problem
Favourite

Nim-7

Age
5 to 11
Challenge level
filled star empty star empty star
Can you work out how to win this game of Nim? Does it matter if you go first or second?
Stop the Clock
problem
Favourite

Stop the Clock

Age
5 to 7
Challenge level
filled star filled star filled star

This is a game for two players. Can you find out how to be the first to get to 12 o'clock?

Slippery Snail
problem

Slippery Snail

Age
7 to 16
Challenge level
filled star filled star empty star
A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.
Got It
problem
Favourite

Got It

Age
7 to 14
Challenge level
filled star filled star empty star

A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.

Last Biscuit
game

Last Biscuit

Can you find a strategy that ensures you get to take the last biscuit in this game?