List

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
problem

Number sandwiches

Age
7 to 14
Challenge level
filled star filled star empty star
Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?
More Number Sandwiches
problem

More number sandwiches

Age
11 to 16
Challenge level
filled star empty star empty star
When is it impossible to make number sandwiches?
Shogi shapes
problem

Shogi shapes

Age
11 to 14
Challenge level
filled star empty star empty star
Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?
Robotic Rotations
problem
Favourite

Robotic rotations

Age
11 to 16
Challenge level
filled star filled star empty star
How did the the rotation robot make these patterns?
Nine Colours
problem
Favourite

Nine colours

Age
11 to 16
Challenge level
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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?
Placeholder: several colourful numbers
list

I wonder ...?

Age
7 to 11
Have you ever started a mathematics task and then stopped and wondered about something in it? We think these tasks might make you do this.
Placeholder: several colourful numbers
list

Cracking Codes

Age
11 to 16
Learn about the maths you need to become a codebreaker!