Not to engage with the objectively 'good' or not bit, but just on Election/whys & wherefores - my ds is doing it, not because we expect him to get a scholarship but (as in fact is the case with most of the Election candidates, most of whom won't get a scholarship but nearly all of which will be accepted as ordinary pupils) the idea is that the style of exam will suit his peculiar autodidact mind better than more conventional ones do.
They are looking for a certain type - who engages with things for their own academic sake, not because they're being taught it - those types (like ds) are often a bit of a problem in more conventional schools, the sort who sit at the back of the class immersed in the textbook and utterly disengaged from the lesson. Indeed WC is the only school that want him - and Election was their suggestion, not our idea. Ds immerses himself in maths, science, IT, commerce - goes through New Scientist, Week, Economist, Wired, every issue, because he wants to; but doing an ordinary RS (eg) essay, even when he knows everything he's meant to put, is torture. He's only interested in what he's interested in, and he's intensely interested in that. He spent a train trip recently covering pages with diagrams of every organic molecule he could think of.
If WC find what they want at Election, there are significant scholarships available, which means that those boys come from all sorts of backgrounds - not the elitist stereotype people often think of for public school.
For info, here is an example of a further maths past question (which for ds is his idea of fun, and which I couldn't start to do):
"The energy released by an earthquake used to be measured by the Richter Scale. For every increase of one on the scale the earthquake is ten times more powerful, e.g., 4 on the scale is 100 times more powerful than 2 on the scale.
How much more powerful is a 6.3 earthquake than a 2.3 earthquake?
One earthquake measures 2 on the Richter Scale. A second one is ten thousand times more powerful.
What does it measure on the scale?
Earthquake P measures 4 on the Richter scale. Earthquake Q measures 4.5 and earthquake R measures 5. Q is x times more powerful than P.
Earthquake R is how much more powerful than Q?
Circle which answer is correct:
5 x 10 10/9
Earthquake R is how much more powerful than P?
What is the value of x?"