What If...?

What if...?

When were you last curious? What was it that provoked your curiosity?
We have chosen some problems for this feature that we hope will excite you and compel you to explore further. We hope you enjoy them!

The final date for sending in solutions is Friday 2nd February 2018.

Number Sandwiches 

Age 7 to 14 Challenge Level:
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

More Number Sandwiches 

Age 11 to 16 Challenge Level:
When is it impossible to make number sandwiches?

Shogi Shapes 

Age 11 to 14 Challenge Level:
Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?

Robotic Rotations 

Age 11 to 16 Challenge Level:
How did the the rotation robot make these patterns?

Nine Colours 

Age 11 to 16 Challenge Level:
Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour?
Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!