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Clock Squares

14 to 18

Can you find a way of predicting the value of large square numbers with the help of our power modulo calculator?

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Proper Factors

16 to 18

Can you find the smallest integer which has exactly 426 proper factors?

problem

Adding Odd Numbers (part 2)

16 to 18

Can you use Proof by Induction to establish what will happen when you add more and more odd numbers?

problem

Favourite

Circular Circuitry

16 to 18

What will happen when you switch on these circular circuits?

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Ishango Bone

7 to 18

Can you decode the mysterious markings on this ancient bone tool?

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Galley Division

14 to 16

Can you explain how Galley Division works?

problem

Dodecawhat

14 to 16

Follow instructions to fold sheets of A4 paper into pentagons and assemble them to form a dodecahedron. Calculate the error in the angle of the not perfectly regular pentagons you make.

problem

Tray Bake

11 to 14

My recipe is for 12 cakes - how do I change it if I want to make a different number of cakes?

problem

Food Web

11 to 14

Is this eco-system sustainable?

problem

Robot Camera

14 to 16

Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?

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Clock Squares

Proper Factors

Adding Odd Numbers (part 2)

Circular Circuitry

Ishango Bone

Galley Division

Dodecawhat

Tray Bake

Food Web

Robot Camera