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Master Minding

Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?

Flippin' Discs

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Cosy Corner

Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?

Two's Company

Age 11 to 14
Challenge Level


In how many different positions can the two blue marbles settle?
How many of these positions contain the two marbles touching?

These Recording Sheets might be useful for finding all possible combinations.