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Triangle Transformation
Diminishing Returns
Mixing Paints
Mixing More Paints
Squaring the Rectangle
Vanishing Point
Journeys of Discovery
Journeys of Discovery
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.
Triangle Transformation Age 7 to 14Challenge Level 
Age 7 to 14
Challenge Level
Start with a triangle. Can you cut it up to make a rectangle?
Diminishing Returns Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
How much of the square is coloured blue? How will the pattern continue?
Mixing Paints Age 11 to 14Challenge Level
Age 11 to 14
Challenge Level
Can you work out how to produce different shades of pink paint?
Mixing More Paints Age 14 to 16Challenge Level
Age 14 to 16
Challenge Level
Can you find an efficent way to mix paints in any ratio?
Squaring the Rectangle Age 14 to 18Challenge Level
Age 14 to 18
Challenge Level
Can you find a way to turn a rectangle into a square?
Vanishing Point Age 14 to 18Challenge Level
Age 14 to 18
Challenge Level
How can visual patterns be used to prove sums of series?
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