We have selected problems in this feature that we hope everyone can make a start on. However, as you get drawn into the problems there are some challenging extension questions too, so that everyone can experience getting stuck (and hopefully getting unstuck too!).
The last day for submitting solutions is Monday 9 December.
The last day for submitting solutions is Monday 9 December.
problem
Flippin' discs
Age
11 to 14
Challenge level
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
problem
Cosy corner
Age
11 to 14
Challenge level
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
problem
Two's company
Age
11 to 14
Challenge level
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
problem
Hollow squares
Age
14 to 16
Challenge level
Which armies can be arranged in hollow square fighting formations?
problem
Factorising with multilink
Age
14 to 16
Challenge level
Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?