2 out of 3
The white square slides once around the pink square. Through what distance does the point P on the white square move?
2 out of 3
Weekly Problem 11 - 2007
A circle of radius 1 rolls without slipping round the inside of a square of side length 4. Find an expression for the number of revolutions the circle makes.
2 out of 3
Tom and Jerry start with identical sheets of paper. Each one cuts his sheet in a different way. Can you find the perimeter of the original sheet?
3 out of 3
Weekly Problem 5 - 2006
How many times does the inside disc have to roll around the inside of the ring to return to its initial position?
3 out of 3
Can you combine vectors to get from one point to another?
3 out of 3
The diagram shows two circles and four equal semi-circular arcs. The area of the inner shaded circle is 1. What is the area of the outer circle?
3 out of 3
How many different phone numbers are there starting with a 3 and with at most two different digits?
2 out of 3
If the line on the right were 0.2mm thick, how long would it need to be to cover an area of one square metre?
3 out of 3
A window frame in Salt's Mill consists of two equal semicircles and a circle inside a large semicircle. What is the radius of the circle?
2 out of 3
There are lots of different methods to find out what the shapes are worth - how many can you find?
