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. 

Please send in your solutions by Friday 12 October

Triangle Transformation 

Age 7 to 14 Challenge Level:
Start with a triangle. Can you cut it up to make a rectangle?

Diminishing Returns 

Age 11 to 14 Challenge Level:
How much of the square is coloured blue? How will the pattern continue?

Mixing Paints 

Age 11 to 14 Challenge Level:
Can you work out how to produce different shades of pink paint?

Mixing More Paints 

Age 14 to 16 Challenge Level:
Can you find an efficent way to mix paints in any ratio?

Vanishing Point 

Age 14 to 18 Challenge Level:
How can visual patterns be used to prove sums of series?

Squaring the Rectangle 

Age 14 to 18 Challenge Level:
Can you find a way to turn a rectangle into a square?