Hard C4 questions?

$" x = cos2\theta [br]y = sin\theta cos\theta$

show that the cartesian equation of the cruve is x^2 + 4y^2 = 1."

I remember this tripping me up in the exam......i couldn't spot the pattern and when i did(after exam ) I was very angry with myself

oh, and vectors....never liked them....enjoy them now!

It's different for everyone, for me it was a question which was pretty much taken from further maths but they gave you enough information to do it with C4 knowledge (polar co-ordinates, which came under the differentiation of multiple variables in C4). If you want more challenging questions, try Solomon papers.

"Find a vector that is perpendicular to both 2i + j - k and i + j - 2k." This question came to my mind when you mentioned "taken from f. maths but doable with C4 knowledge." Could you mention your question as well? If it''s not any trouble, of course.

Attempted solomon, elmwood and pure papers so I want to know if there are other tough questions solvable with C4 knowledge

It was a few years ago now, so I can't recall I'm afraid. Have you tried asking your teacher(s)? Ours had sheets of questions from back in the 60s and 70s that were quite challenging. Other than that, the PAT/MAT (oxford entrance tests for physics and maths) are designed to be answerable with just A level knowledge (Officially just AS, but that's not really the case). And perhaps even some university courses that teach maths to non maths students (E.G. http://www2.warwick.ac.uk/fac/sci/physics/current/teach/module_home/px149)?

"Find a vector that is perpendicular to both 2i + j - k and i + j - 2k." This question came to my mind when you mentioned "taken from f. maths but doable with C4 knowledge." Could you mention your question as well? If it''s not any trouble, of course.
Attempted solomon, elmwood and pure papers so I want to know if there are other tough questions solvable with C4 knowledge