Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

On a digital clock showing 24 hour time, over a whole day, how many times does a 5 appear? Is it the same number for a 12 hour clock over a whole day?

If you are given the mean, median and mode of five positive whole numbers, can you find the numbers?

Can you find a reliable strategy for choosing coordinates that will locate the robber in the minimum number of guesses?

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

You found some very helpful ways of working on this problem. Some of you drew pictures while others used numbers to represent the circle's dots.

A game for two people, who take turns to move the counters. The player to remove the last counter from the board wins.