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game
Last biscuit
Can you find a strategy that ensures you get to take the last biscuit in this game?
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problem
Vector journeys
Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?
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problem
Quad in quad
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
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problem
Exploring cubic functions
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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problem
Back fitter
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?
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problem
Root hunter
In this short problem, try to find the location of the roots of
some unusual functions by finding where they change sign.
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problem
Polite numbers
A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?
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