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Broad Topics > Collections > Stage 5 Investigation

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Converging Quadrilaterals

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the properties of this iterative geometrical procedure

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A Rational Search

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Investigate constructible images which contain rational areas.

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Few and Far Between?

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you find some Pythagorean Triples where the two smaller numbers differ by 1?

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Factors and Multiples Graphs

Stage: 4 and 5 Challenge Level: Challenge Level:1

Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross

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Investigating Twilgo

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What can you create using 140 characters and our cool Twilgo environment?

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A Different Differential Equation

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the properties of this different sort of differential equation.

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Chance of That

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?

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Trig-trig

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore the properties of combinations of trig functions in this open investigation.

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The Best Square

Stage: 4 and 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

How would you judge a competition to draw a freehand square?