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problem

Fracmax

14 to 16

Find the maximum value of 1/p + 1/q + 1/r where this sum is less than 1 and p, q, and r are positive integers.

problem

Squareflake

16 to 18

A finite area inside and infinite skin! You can paint the interior of this fractal with a small tin of paint but you could never get enough paint to paint the edge.

problem

Flight Path

16 to 18

Use simple trigonometry to calculate the distance along the flight path from London to Sydney.

problem

Vital?

16 to 18

Third challenge cipher

problem

Maxi Pyramid

11 to 16

What is the largest number you can obtain at the top of this pyramid?

problem

Unlocking the Case

7 to 11

A case is found with a combination lock. There is one clue about the number needed to open the case. Can you find the number and open the case?

problem

Nicola's Jigsaw

11 to 14

Nicola has lost a piece of her 3D jigsaw. Can you work out the shape of the missing piece?

problem

Favourite

Maths Filler

11 to 14

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

problem

Troublesome Dice

11 to 14

When dice land edge-up, we usually roll again. But what if we didn't...?

problem

Zin Obelisk

11 to 14

In the ancient city of Atlantis a solid rectangular object called a Zin was built in honour of the goddess Tina. Your task is to determine on which day of the week the obelisk was completed.

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Fracmax

Squareflake

Flight Path

Vital?

Maxi Pyramid

Unlocking the Case

Nicola's Jigsaw

Maths Filler

Troublesome Dice

Zin Obelisk