Edexcel FP3 - 27th June, 2016

Figure out some lines, then connect them with your equations.


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arsinhx = ln(x + root(x^2 + 1))

Seems that grade boundaries fluctuate a bit for FP3. I haven't revised yet, anyone have any suggestions for what to focus on? To be honest the hardest stuff for me is coordinate systems loci and all the different vectors methods

Focus on everything

You can't afford to be weak on any area of FP3 if you want the A*.

In order of average marks:

1. Integration & differentiation (usually around 20-30 marks in the paper)
2. Vectors
3. Coordinate systems
4. Matrices
5. Hyperbolic functions (around 6 marks at the start of the paper)

Yeah you're definitely right, can't afford to **** this one up lol. Do you know any good resources/cheat sheets? I know I wrote down a load of vector formulas to use but I'm not sure where I've put the paper.

This playlist is great for explaining vectors: https://www.youtube.com/playlist?list=PLTfNWpwGvUeIQJV97OJkt-ZkdAzDSmH22

It has a few extraneous topics like reduction formulae and matrices, which are still relevant.

And here's every past paper ever (+ old spec questions, you should be doing these too): http://www.physicsandmathstutor.com/a-level-maths-papers/fp3-edexcel/

Vectors are tricky, and loci needs time to understand what is going on. If you're done with general FP3 revision, you could read outside the spec in coordinate systems, and make sure you understand all the different properties of the conic sections as they could quite well crop up on the paper.

The June 2015 home paper is a great one to do to really push your understanding of the topics.

This playlist is great for explaining vectors: https://www.youtube.com/playlist?list=PLTfNWpwGvUeIQJV97OJkt-ZkdAzDSmH22

It has a few extraneous topics like reduction formulae and matrices, which are still relevant.

And here's every past paper ever (+ old spec questions, you should be doing these too): http://www.physicsandmathstutor.com/a-level-maths-papers/fp3-edexcel/

Vectors are tricky, and loci needs time to understand what is going on. If you're done with general FP3 revision, you could read outside the spec in coordinate systems, and make sure you understand all the different properties of the conic sections as they could quite well crop up on the paper.

The June 2015 home paper is a great one to do to really push your understanding of the topics.

I'm pretty sure this paper's gonna rape me, so disappointed in myself.

Can I please have some help with finding the perpendicular distance from a line to another point? It's completely blank in my mind and I don't understand the MS.

June 2010 question 7 part c

https://3a14597dd5c7aa2363f0675717665774b02557b0.googledrive.com/host/0B1ZiqBksUHNYQWE5bVRTVE9BLW8/June%202010%20QP%20-%20FP3%20Edexcel.pdf

https://3a14597dd5c7aa2363f0675717665774b02557b0.googledrive.com/host/0B1ZiqBksUHNYQWE5bVRTVE9BLW8/June%202010%20MS%20-%20FP3%20Edexcel.pdf

If someone could give me a step-by-step or a formula or something I'd be so grateful

Well a diagram always helps. I am just picturing this at the moment, so forgive me if I am inaccurate, but I believe this is just a trigonometry problem, and via the dot product you have enough information to find the angle at P in triangle NPR, which is also the angle at P in triangle NPX, where NX is the perpendicular in question. Then once you have that angle you can use basic trig to get the length of NX.

I think there are specific formulas for this but if I recall correctly they are a little complicated (indeed if they weren't I doubt this question would be a 5 marker). In general if you have the line in question and the point in question, you will be able to apply a method of similar nature to this one.

Can anyone provide a link (or just explain) for some sort of run down of what techniques to use for integrating certain things? Like, when is it best to do it exponentially, or by parts, or by substitutions etc etc

Man thanks a lot that's really helped. I drew the diagram but I've never really solidified in my mind the trig stuff with vectors -- it's the one part of FP3 I've stupidly avoided.

So as a rule of thumb, once you have a "2d" diagram drawn for questions like that you can just use trig as if it were a 2d problem?

I believe so. Might wanna check the text to see if there's anything specific on this though. Also, there may well be a fairly nice formula, actually: http://mathworld.wolfram.com/Point-LineDistance3-Dimensional.html

You're a lifesaver, I'll be recapping all the vectors content tomorrow so I'll take another look then. Seriously thanks