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Geometry and gravity 1
This article (the first of two) contains ideas for investigations.
Space-time, the curvature of space and topology are introduced with
some fascinating problems to explore.
problem
Favourite
The not-so-simple pendulum 1
16 to 18
See how the motion of the simple pendulum is not-so-simple after all.
problem
Favourite
Interactive workout - Mathmo
16 to 18
Mathmo is a revision tool for post-16 mathematics. Give yourself a mathematical workout!
problem
Seeing rhombuses
7 to 11
Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.
problem
Favourite
Olympic triathlon
14 to 16
Is it the fastest swimmer, the fastest runner or the fastest cyclist who wins the Olympic Triathlon?
problem
Coin tossing games
14 to 16
You and I play a game involving successive throws of a fair coin.
Suppose I pick HH and you pick TH. The coin is thrown repeatedly
until we see either two heads in a row (I win) or a tail followed
by a head (you win). What is the probability that you win?
problem
Whose line graph is it anyway?
16 to 18
Which line graph, equations and physical processes go together?
problem
Favourite
Cyclic quadrilaterals
11 to 16
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?