I Wonder... What If...?

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I wonder... what if...?

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

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

Number Sandwiches live

Stage: 2 and 3 Challenge Level: Challenge Level:2 Challenge Level:2

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

More Number Sandwiches link

More Number Sandwiches live

Stage: 3 and 4 Challenge Level: Challenge Level:1

When is it impossible to make number sandwiches?

Shogi Shapes link

Shogi Shapes live

Stage: 3 Challenge Level: Challenge Level:1

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

Robotic Rotations link

Robotic Rotations live

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

How did the the rotation robot make these patterns?

Nine Colours link

Nine Colours live

Stage: 3 and 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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 link

A Curious Collection of Bridges 

Stage: 3, 4 and 5

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