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Boris Biker entered the Tour de Transylvania with an unusual bicycle whose front wheel is larger than the back.
The radius of the large wheel is 40cm, and the radius of the small wheel is 30cm.
On the first stage of the race the smaller wheel made 120,000 revolutions. How many revolutions did the larger wheel make?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
A 1 metre cube has one face on the ground and one face against a wall. A 4 metre ladder leans against the wall and just touches the cube. How high is the top of the ladder above the ground?
Four rods are hinged at their ends to form a convex quadrilateral. Investigate the different shapes that the quadrilateral can take. Be patient this problem may be slow to load.