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# AQA A2 Mathematics MPC3 Core 3 - Wednesday 15th June 2016 [Official Thread] watch

1. (Original post by tanyapotter)
In the C3 and C4 exams, do they tell you which substitution to use in integration?
In C3, the subsitution is most of the time given to you and you are told to use substitution to solve the integral. In C4, they generally give you an integral and just ask you to solve it - you then have to decide whether to use substitution, parts, partial fractions or standard integrals etc.
2. (Original post by Mowerharvey)
Yep. Still a bit confused about how to get an A* overall though
A* overall requires a 90% average over C3 and C4, so 180 UMS is required combined from C3 and C4, for example 90 in C3, 90 in C4, 100 in C3, 80 in C4 and so on. You also need to have acheived an A grade overall, so 480/600 UMS at least from all 6 maths exams.
3. Any hard questions anyone got?
4. (Original post by Guls)
anyone else aiming for an A*?
Yes
5. Do you need to know how to use sin(A+B) + sin(A-B) = 2sinAcosB
6. Prove:

$\frac{cosx}{1-tanx} + \frac{sinx}{1-cotx} = sinx + cosx$

and

$(cotx + cosecx)^2 = \frac{1+cosx}{1-cosx}$
7. (Original post by fpmaniac)
Prove:

$\frac{cosx}{1-tanx} + \frac{sinx}{1-cotx} = sinx + cosx$

and

$(cotx + cosecx)^2 = \frac{1+cosx}{1-cosx}$
Nice question.

8. (Original post by Dzinq)
Nice question.

Oh I see it now Thanks. Hopefully something that hard wont come up
9. Has anybody done the Jan 11 paper?
If so, on the very last question, how are you supposed to simplify the fraction?
I got a horrible fraction with 6 digits in the numerator and denominator and my calculator wouldn't simplify it.
It ended up being an equivalent fraction to the one in the mark scheme, but if that happened in the actual exam it would be very off putting and seem wrong.
Thanks for any help.
(My fraction was 377784/147456 and the mark scheme's was 5247/2048).
10. (Original post by joebush)
Has anybody done the Jan 11 paper?
If so, on the very last question, how are you supposed to simplify the fraction?
I got a horrible fraction with 6 digits in the numerator and denominator and my calculator wouldn't simplify it.
It ended up being an equivalent fraction to the one in the mark scheme, but if that happened in the actual exam it would be very off putting and seem wrong.
Thanks for any help.
(My fraction was 377784/147456 and the mark scheme's was 5247/2048).
If they're the equivalent I'm 99% sure they'd still give you the marks. I had the same issue on this paper, except my answer was 15741/6144 (which cancels down to the required answer). Not sure why my calculator didn't cancel.
11. (Original post by joebush)
Has anybody done the Jan 11 paper?
If so, on the very last question, how are you supposed to simplify the fraction?
I got a horrible fraction with 6 digits in the numerator and denominator and my calculator wouldn't simplify it.
It ended up being an equivalent fraction to the one in the mark scheme, but if that happened in the actual exam it would be very off putting and seem wrong.
Thanks for any help.
(My fraction was 377784/147456 and the mark scheme's was 5247/2048).
I always divide the numerator and denominator by 2 or 3 etc, sepreately, if they're both very large numbers
12. can anyone show me this as a proof question (i.e. not just using the formula booklet)?? thanks

differentiate:
y= 2arctan3x
13. (Original post by Dzinq)
If they're the equivalent I'm 99% sure they'd still give you the marks. I had the same issue on this paper, except my answer was 15741/6144 (which cancels down to the required answer). Not sure why my calculator didn't cancel.
I got that too. It was a very nice paper

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14. (Original post by harv221)
can anyone show me this as a proof question (i.e. not just using the formula booklet)?? thanks

differentiate:
y= 2arctan3x

Pretty sure that's right
15. √(1+sin2x) dx
16. (Original post by Fudge2)

Pretty sure that's right
thanks so much, wouldn't have known how to get from sec to x so thanks!
17. What are your plans for tomorrow? I'm going to do the last 2 papers that I haven't done: Jan and June 2013

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18. (Original post by Yo12345)
What are your plans for tomorrow? I'm going to do the last 2 papers that I haven't done: Jan and June 2013

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Done pretty much every past paper and feeling pretty confident so I think I'm going to do the 3/4 most recent papers and then just have an easy night ahead of the exam

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19. Has anyone got C1 or C2 paper so I can see the layout changes?

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20. Hey - I was just wondering if anyone knew whether the fx9860GII is permitted to use?
Thanks 😊

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