1 out of 3
What do you get when you raise a quadratic to the power of a quadratic?
1 out of 3
Starting with two basic vector steps, which destinations can you reach on a vector walk?
2 out of 3
Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?
2 out of 3
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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 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
It is believed that weaker snooker players have a better chance of winning matches over eleven frames (i.e. first to win 6 frames) than they do over fifteen frames. Is this true?
