I didn't sit it, but how would you compare it to previous years? My early impressions are that it is difficult by comparison to past papers.
Yeah I thought it was tricky. I had a hack at number 1, showed that QR=PS (pretty easy) and then tried to show that QER+PES=180 so that we could make a cyclic quad out of the two triangles QER and PES but alas, I couldnt do it and spent way longer than I should have. I also had a go at number 4, but again didnt quite get it, I made some bad logical errors. I decided K=3 was sufficient and then put forward a strong inductive argument using
I didn't sit it, but how would you compare it to previous years? My early impressions are that it is difficult by comparison to past papers.
Oh and I also worked out that 3 is equivlent to showing that given a large enough 45-45-90 triangle lattice that has a two colouring then there we can find three points in the lattice of the same colour that form a 45-45-90 triagngle.
Yeah I thought it was tricky. I had a hack at number 1, showed that QR=PS (pretty easy) and then tried to show that QER+PES=180 so that we could make a cyclic quad out of the two triangles QER and PES but alas, I couldnt do it and spent way longer than I should have. I also had a go at number 4, but again didnt quite get it, I made some bad logical errors. I decided K=3 was sufficient and then put forward a strong inductive argument using
Q2 looks the most accessible to me...will have a crack later. Strong induction (or possibly an obscure contradition argument?) is probably the way to go on 4, 3 looks like contradiction. 1 is geometry so I'm definitely not going to try it...maybe areal co-ords?
Q2 looks the most accessible to me...will have a crack later. Strong induction (or possibly an obscure contradition argument?) is probably the way to go on 4, 3 looks like contradiction. 1 is geometry so I'm definitely not going to try it...maybe areal co-ords?
Thanks quick glance and 2 you could probably do with a lot of thought and possibly an induction/contradiction. 4 looks like it can be done, but the algebra manipulation will probably cause me to make a mistake