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# MAT Prep Thread - 2nd November 2016 watch

1. Has anyone found answers to the 1996-2006 papers? Or are you not marking those?

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2. Ive done most of the MAT papers now and I've been doing well, but 2013 has f***** me up its a lot harder than all the previous ones. Can anyone help explain all of part ii) to me on the attached question? I'm struggling to understand what the question even wants me to do. Thanks guys.
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3. (Original post by redsquared)
Ive done most of the MAT papers now and I've been doing well, but 2013 has f***** me up its a lot harder than all the previous ones. Can anyone help explain all of part ii) to me on the attached question? I'm struggling to understand what the question even wants me to do. Thanks guys.
For (ii)(a), proceed as in (i) but now looking at

f(t) - f(1-t) = t

and try to solve for f(t).
4. (Original post by redsquared)
Ive done most of the MAT papers now and I've been doing well, but 2013 has f***** me up its a lot harder than all the previous ones. Can anyone help explain all of part ii) to me on the attached question? I'm struggling to understand what the question even wants me to do. Thanks guys.
2013 was pretty nasty, but wait until you get to 2015, oh boi.
5. (Original post by redsquared)
Ive done most of the MAT papers now and I've been doing well, but 2013 has f***** me up its a lot harder than all the previous ones. Can anyone help explain all of part ii) to me on the attached question? I'm struggling to understand what the question even wants me to do. Thanks guys.
For c) try expanding the RHS and rearrange into forms you are familiar with. For instance, the RHS contains t^3 so you might consider setting f(t) to be something to do with t^3.
6. (Original post by RuairiMorrissey)
2013 was pretty nasty, but wait until you get to 2015, oh boi.
What about it?
7. (Original post by Insecure)
What about it?
It's quite a bit harder than the other papers
8. How would you go about this question (g)? Thanks

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9. (Original post by theaverage)
How would you go about this question (g)? Thanks

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Sketch the graph, or use the identity cosx=1-2(sin(x/2))^2 to get a quadratic in sin(x/2).
10. (Original post by theaverage)
How would you go about this question (g)? Thanks

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Have you learned double and half angle formulae in C3 yet?
11. (Original post by RuairiMorrissey)
2013 was pretty nasty, but wait until you get to 2015, oh boi.
Yeah Ive heard, I'm saving it for last :/
12. (Original post by RichE)
For (ii)(a), proceed as in (i) but now looking at

f(t) - f(1-t) = t

and try to solve for f(t).
Thanks I get it now, not a very nice question for me
13. Yupp but I was trying to find a way with just C1 and C2 knowledge?

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14. (Original post by theaverage)
How would you go about this question (g)? Thanks

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What paper is this?
15. (Original post by Mystery.)
I think I am being really stupid here but I tried to do a graph because the standard way doesn't work
..
16. (Original post by RuairiMorrissey)
What paper is this?
1998

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17. (Original post by theaverage)
1998

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Oh, are there mark schemes available for pre-2007 papers?
18. (Original post by theaverage)
Yupp but I was trying to find a way with just C1 and C2 knowledge?

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Sketching the graphs is the way to go. 1-sin(x/2) is obtained by applying the following transformations to sinx:

- horizontal stretch of a scale factor 2 (so that the period is now 4pi)
- reflection about x axis
- translation of 1 unit upwards

You should see that there are 4 points of intersection (x=0, x=pi/3, x=5pi/3, x=2pi) so the answer is d).

This is the 1998 paper by the way.
19. What's the way to solve simultaneous equations in three variables including quadratics without using matrices?
like these :
20. (Original post by Mystery.)
What's the way to solve simultaneous equations in three variables including quadratics without using matrices?
You don't, unless there's a trick somewhere.

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