Copyright © University of Cambridge. All rights reserved.

'Sliding Game' printed from http://nrich.maths.org/

Show menu

This is game to play by yourself. You will need a game board and 8 counters (or buttons or coins) - 4 of one colour and 4 of another colour.

Game board

Place 4 counters in the top row and 4 in the bottom row. The aim is for the top counters to swap places with the bottom counters using the smallest possible number of moves. You can slide a counter one square at a time, with no jumping or sharing a square.

Record your moves so that you can count them and find the best way to solve the puzzle.

It might help to number the squares.

Large game board