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What Did Turing Do for Us?
Dr James Grime takes an Enigma machine in to schools. Here he describes how the code-breaking work of Turing and his contemporaries helped to win the war.
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1 out of 3
Russian Cubes
14 to 16
1 out of 3
I want some cubes painted with three blue faces and three red faces. How many different cubes can be painted like that?
problem
3 out of 3
Napoleon's Theorem
14 to 18
3 out of 3
Triangle ABC has equilateral triangles drawn on its edges. Points P, Q and R are the centres of the equilateral triangles. What can you prove about the triangle PQR?
problem
2 out of 3
Cuisenaire Squares
7 to 11
2 out of 3
These squares have been made from Cuisenaire rods. Can you describe the pattern? What would the next square look like?
problem
2 out of 3
Favourite
Fair Shares?
14 to 16
2 out of 3
A mother wants to share some money by giving each child in turn a lump sum plus a fraction of the remainder. How can she do this to share the money out equally?
problem
2 out of 3
Favourite
Route to Infinity
11 to 14
2 out of 3
Can you describe this route to infinity? Where will the arrows take you next?
problem
3 out of 3
Favourite
Litov's Mean Value Theorem
11 to 14
3 out of 3
Start with two numbers and generate a sequence where the next number is the mean of the last two numbers...
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2 out of 3
Favourite
Buses
11 to 14
2 out of 3
A bus route has a total duration of 40 minutes. Every 10 minutes, two buses set out, one from each end. How many buses will one bus meet on its way from one end to the other end?
problem
2 out of 3
Favourite
An Unusual Shape
11 to 14
2 out of 3
Can you maximise the area available to a grazing goat?
problem
1 out of 3
Prize Giving
14 to 16
1 out of 3
What's the fairest way to choose 2 from 8 potential prize winners? How likely are you to be chosen?