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problem
Formulate and investigate a simple mathematical model for the design of a table mat.
problem
Contact
A circular plate rolls in contact with the sides of a rectangular
tray. How much of its circumference comes into contact with the
sides of the tray when it rolls around one circuit?
problem
Ideal Gases
Problems which make you think about the kinetic ideas underlying
the ideal gas laws.
problem
Junior Frogs
Have a go at this well-known challenge. Can you swap the frogs and toads in as few slides and jumps as possible?
problem
Gift of Gems
Four jewellers share their stock. Can you work out the relative values of their gems?
problem
Who Is Cheating?
A practical experiment provides data. Moving onto expected results provides a context to establish the multiplication rule in probability, and an intuitive approach to conditional probability.
problem
Speedy Summations
Watch the video to see how to add together an arithmetic sequence of numbers efficiently.
problem
Speedo
Investigate the relationship between speeds recorded and the distance travelled in this kinematic scenario.