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!
Number Sandwiches Age 7 to 14
Challenge Level
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
Challenge Level
When is it impossible to make number sandwiches?
Shogi Shapes Age 11 to 14
Challenge Level
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
Challenge Level
How did the the rotation robot make these patterns?
Nine Colours Age 11 to 16
Challenge Level
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?
A Curious Collection of Bridges Age 11 to 18
Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.