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Several students from Orchard Junior School noticed how the mystic rose was being constructed:
Thomas from Wilson's School wrote:
Lucie from Munich came to the same conclusion.
Esther from St Bede's interchurch school in Cambridge used these results for the final part of the problem:
Mrs Dillon's class from Ashville College in Harrogate agreed:
P is a point on the circumference of a circle radius r which rolls, without slipping, inside a circle of radius 2r. What is the locus of P?
The coke machine in college takes 50 pence pieces. It also takes a certain foreign coin of traditional design...
A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?