If a is the radius of the axle, b the radius of each ball-bearing, and c the radius of the hub, why does the number of ball bearings n determine the ratio c/a? Find a formula for c/a in terms of n.
Bricks are 20cm long and 10cm high. How high could an arch be built
without mortar on a flat horizontal surface, to overhang by 1
metre? How big an overhang is it possible to make like this?
The shortest path between any two points on a snooker table is the straight line between them but what if the ball must bounce off one wall, or 2 walls, or 3 walls?
Mathematics is used in medical research, engineering and finance to model the real world because it is much safer and cheaper to try out theoretical models than it is to experiment with living subjects, to build and test expensive prototypes, or to invest real money in untried schemes.
Find out about how schools were involved in real-life research into epidemic modelling.
Using this probability environment you can be a researcher and use mathematical modelling to investigate the spread of different sorts of diseases. You will be able to model some of the characteristics of your chosen disease. (Click on Configuration Data).
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To learn more about research into infectious diseases see the Disease Dynamics Schools Pack