2 out of 3
Find the sum of this series of surds.
2 out of 3
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
2 out of 3
Can you work out which processes are represented by the graphs?
2 out of 3
Can you make sense of the three methods to work out what fraction of the total area is shaded?
2 out of 3
This problem challenges you to find cubic equations which satisfy different conditions.
2 out of 3
Show that if you add 1 to the product of four consecutive numbers the answer is ALWAYS a perfect square.
1 out of 3
This is a beautiful result involving a parabola and parallels.
1 out of 3
There are many different methods to solve this geometrical problem - how many can you find?
1 out of 3
Can you find the area of the central part of this shape? Can you do it in more than one way?
2 out of 3
A circle is inscribed in an equilateral triangle. Smaller circles touch it and the sides of the triangle, the process continuing indefinitely. What is the sum of the areas of all the circles?
