1 out of 3
Collect as many diamonds as you can by drawing three straight lines.
2 out of 3
In this problem we are faced with an apparently easy area problem, but it has gone horribly wrong! What happened?
2 out of 3
Position the lines so that they are perpendicular to each other. What can you say about the equations of perpendicular lines?
2 out of 3
How many intersections do you expect from four straight lines ? Which three lines enclose a triangle with negative co-ordinates for every point ?
2 out of 3
Can you decide whether two lines are perpendicular or not? Can you do this without drawing them?
2 out of 3
I took the graph y=4x+7 and performed four transformations. Can you find the order in which I could have carried out the transformations?
1 out of 3
The illustration shows the graphs of fifteen functions. Two of them have equations $y=x^2$ and $y=-(x-4)^2$. Find the equations of all the other graphs.
2 out of 3
Quadratic graphs are very familiar, but what patterns can you explore with cubics?
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?
