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problem
Favourite
Now and Then
Have a look at the results for some events at past Olympic Games. Can you use these to predict the results at the next Olympics?
problem
Favourite
Orange Drink
A 750 ml bottle of concentrated orange squash is enough to make fifteen 250 ml glasses of diluted orange drink. How much water is needed to make 10 litres of this drink?
problem
Clock Arithmetic
What happens if we change the rules and make the usual straight number line into a circle?
article
An Introduction to Polar Coordinates
This introduction to polar coordinates describes what is an effective way to specify position. This article explains how to convert between polar and cartesian coordinates and also encourages the creation of some attractive curves from some relatively easy equations.
problem
Happy Octopus
This investigation is about happy numbers in the World of the Octopus where all numbers are written in base 8 ... Find all the fixed points and cycles for the happy number sequences in base 8.
problem
Resistance
Find the equation from which to calculate the resistance of an
infinite network of resistances.
problem
Sticky Dice
Throughout these challenges, the touching faces of any adjacent dice must have the same number. Can you find a way of making the total on the top come to each number from 11 to 18 inclusive?
problem
Hold Still Please
Can you arrange a set of charged particles so that none of them
start to move when released from rest?
problem
Walk and Ride
How far have these students walked by the time the teacher's car reaches them after their bus broke down?