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Triangle Transformation
Diminishing Returns
Mixing Paints
Mixing More Paints
Squaring the Rectangle
Vanishing Point
To Boldly Go...
To Boldly Go...
When students meet something for the first time, we want them to have a sense of awe and wonder, and be curious to explore more. In this feature, we present situations which we hope will be novel for your students, provoking them to embark 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?