List

Year 11+ Being Collaborative

Triathlon and Fitness
problem
Favourite

Triathlon and Fitness

Age
11 to 14
Challenge level
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The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
Vector walk
problem
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Vector walk

Age
14 to 18
Challenge level
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Starting with two basic vector steps, which destinations can you reach on a vector walk?
Areas of parallelograms
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Areas of parallelograms

Age
14 to 16
Challenge level
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Can you find the area of a parallelogram defined by two vectors?
Back fitter
problem
Favourite

Back fitter

Age
14 to 18
Challenge level
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10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?

Fill Me Up Too
problem
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Fill Me Up Too

Age
14 to 16
Challenge level
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In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
What's that graph?
problem
Favourite

What's that graph?

Age
14 to 18
Challenge level
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Can you work out which processes are represented by the graphs?

Why 24?
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Why 24?

Age
14 to 16
Challenge level
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Take any prime number greater than 3 , square it and subtract one. Working on the building blocks will help you to explain what is special about your results.
Hexy-Metry
problem
Favourite

Hexy-Metry

Age
14 to 16
Challenge level
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A hexagon, with sides alternately a and b units in length, is inscribed in a circle. How big is the radius of the circle?