Just because an idea has been around for centuries, it doesn't make it any less exciting when you discover it for yourself. In this feature, we share situations involving maths which may be new to you, to take you on a journey of discovery.
problem
Triangle transformation
Age
7 to 14
Challenge level
Start with a triangle. Can you cut it up to make a rectangle?
problem
Diminishing returns
Age
11 to 14
Challenge level
How much of the square is coloured blue? How will the pattern continue?
problem
Mixing paints
Age
11 to 14
Challenge level
Can you work out how to produce different shades of pink paint?
problem
Squaring the rectangle
Age
14 to 18
Challenge level
Can you find a way to turn a rectangle into a square?
problem
Vanishing point
Age
14 to 18
Challenge level
How can visual patterns be used to prove sums of series?
problem
Mixing more paints
Age
14 to 16
Challenge level
Can you find an efficent way to mix paints in any ratio?