Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Getting Started, Getting Stuck

### Flippin' Discs

### Odds and Evens

### Cosy Corner

### Two's Company

### Hollow Squares

### Factorising with Multilink

Or search by topic

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.

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?

Age 11 to 14

Challenge Level

Are these games fair? How can you tell?

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?

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?

Age 14 to 16

Challenge Level

Which armies can be arranged in hollow square fighting formations?

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?