article
The mean game
Edward Wallace based his A Level Statistics Project on The Mean
Game. Each picks 2 numbers. The winner is the player who picks a
number closest to the mean of all the numbers picked.
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article
Geometry and gravity 1
This article (the first of two) contains ideas for investigations.
Space-time, the curvature of space and topology are introduced with
some fascinating problems to explore.
article
Programming: Moiré patterns
We need computer programmers! Logo is a great entry-level programming language - and you can create stunning graphics while you learn.
problem
Book codes
7 to 11
Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
problem
Folding squares
14 to 16
The diagonal of a square intersects the line joining one of the unused corners to the midpoint of the opposite side. What do you notice about the line segments produced?
problem
Favourite
Odd differences
14 to 16
The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.
problem
Favourite
Differences
11 to 14
Can you guarantee that, for any three numbers you choose, the product of their differences will always be an even number?
problem
A rod and a pole
7 to 11
A lady has a steel rod and a wooden pole and she knows the length
of each. How can she measure out an 8 unit piece of pole?
problem
Putting two and two together
7 to 11
In how many ways can you fit two of these yellow triangles
together? Can you predict the number of ways two blue triangles can
be fitted together?