Getting Started, Getting Stuck

Getting started, getting stuck

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.

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?

Odds and Evens 

Age 11 to 14 Challenge Level:
Are these games fair? How can you tell?

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?

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?

Hollow Squares 

Age 14 to 16 Challenge Level:
Which armies can be arranged in hollow square fighting formations?

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?