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# I Wonder... What If...?

### Number Sandwiches

### More Number Sandwiches

### Shogi Shapes

### Robotic Rotations

### Nine Colours

### A Curious Collection of Bridges

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When were you last curious? What was it that provoked your curiosity? What compelled you to explore further?

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Age 7 to 14

Challenge Level

Can you arrange the digits 1, 1, 2, 2, 3 and 3 to make a Number Sandwich?

Age 11 to 16

Challenge Level

When is it impossible to make number sandwiches?

Age 11 to 14

Challenge Level

Shogi tiles can form interesting shapes and patterns... I wonder whether they fit together to make a ring?

Age 11 to 16

Challenge Level

How did the the rotation robot make these patterns?

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?

Age 11 to 18

Read about the problem that tickled Euler's curiosity and led to a new branch of mathematics!