Fancy something very substantial? These challenging investigations will take time and you will need to pose your own questions in order to make your own mathematical discoveries.
problem
The best square
Age
16 to 18
Challenge level
How would you judge a competition to draw a freehand square?
problem
Trig-trig
Age
16 to 18
Challenge level
Explore the properties of combinations of trig functions in this open investigation.
problem
Chance of that
Age
16 to 18
Challenge level
What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?
problem
A different differential equation
Age
16 to 18
Challenge level
Explore the properties of this different sort of differential
equation.
problem
Factors and multiples graphs
Age
16 to 18
Challenge level
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
problem
Few and far between?
Age
16 to 18
Challenge level
Can you find some Pythagorean Triples where the two smaller numbers differ by 1?
problem
A rational search
Age
16 to 18
Challenge level
Investigate constructible images which contain rational areas.
problem
Converging quadrilaterals
Age
16 to 18
Challenge level
Explore the properties of this iterative geometrical procedure
problem
Investigating Twilgo
Age
16 to 18
Challenge level
What can you create using 140 characters and our cool Twilgo environment?