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# MAT Prep Thread - 2nd November 2016 watch

1. (Original post by DylanJ42)
the graph that looked lots like a molar tooth im pretty sure, thats all I could see when doing the question
ikr but they ALL looked like damn molars!
2. (Original post by boombox111)
yeah i lost plenty too aargh
it was the same kinda standard as 2015/13 so i'd guess around 55 and 61 for the interviewed/accepted averages. could be a tad higher tho
I really want to know the individual mark for each question from question 2 to 5 then I can estimate my marks
3. (Original post by boombox111)
yeah i lost plenty too aargh
it was the same kinda standard as 2015/13 so i'd guess around 55 and 61 for the interviewed/accepted averages. could be a tad higher tho
couldn't wait for the mark scheme
4. (Original post by boombox111)
ikr but they ALL looked like damn molars!
all of them? youve been eating too many sweets if your molars look like a parabola
5. In the Q4 did you have to know that arctan sqrt(3)/3=pi/6? I see a lot of people posting with that substitution, couldnt you express it using alpha?
6. Also in question 2 last part the m_1 and n_1 were positive so it was impossible by a wide margin (not just 94 should be 124/2)
7. What was the formulae for un and tn in Q5 and how did you find it?
8. Also for the multiple choice with integrals and also the one with A and B being max or something can someone show how they got they're answers?

Also for the last multiple choice what was option A and option B and was it asking which one is false?
9. When are we able to access the paper online?

Not sure if im looking forward to it going up or not XD

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10. (Original post by OxfordMathsDept)
Not really - the numbers are much smaller for the joint degrees, but the performance on the MAT is broadly similar. Going by the Maths averages on the website should be fine.
Hi, you have mentioned that the exam paper will be online on Friday. Is that on oxford maths department website?
11. (Original post by ShatnersBassoon)
The summation question I think you're talking about, to quote myself:

1J: Might have messed up some of the options in particular because I spent more time analysing some of them than others. But this was roughly it:

Let ∏(n) denote the number of unique prime factors in n; for example, ∏(8) = 1 and ∏(6) = 2. Let x(n) equal the last digit of n. Which of the following statements is false?

(a) If ∏(n) = 1, there are some values of x(n) for which n must not be prime.
(b) If ∏(n) = 1, there are some values of x(n) for which n must be prime.
(c) If ∏(n) = 1, there are some values of x(n) which are not possible to obtain.
(d) If ∏(n) + x(n) = 2, it is not possible to determine whether n is prime.
(e) If ∏(n) = 2, there are some values of x(n) which are not possible to obtain.
Haven't seen the paper, but I'm havnig trouble seeing how both (b) and (e) aren't false.

Specifically, for (b), it's not possible for x(n) to be 0, for all other digits d=1,...,9 we can find composite n with ∏(n) = 1, x(n) = d. The smallest solutions for each d are:

81, 32, 243, 4, 25, 16, 27, 8, 9,

Similarly for (e), the following numbers with ∏(n) =2 show all values of x(n) are obtainable.

10, 21, 12, 33, 14, 15, 6, 57, 18, 39.

What am I missing here?
12. (Original post by DFranklin)
Haven't seen the paper, but I'm havnig trouble seeing how both (b) and (e) aren't false.

Specifically, for (b), it's not possible for x(n) to be 0, for all other digits d=1,...,9 we can find composite n with ∏(n) = 1, x(n) = d. The smallest solutions for each d are:

81, 32, 243, 4, 25, 16, 27, 8, 9,

Similarly for (e), the following numbers with ∏(n) =2 show all values of x(n) are obtainable.

10, 21, 12, 33, 14, 15, 6, 57, 18, 39.

What am I missing here?
Since I can't fault your logic, it probably indicates I messed up my re-writing the question. In fact, thinking about it, I definitely remember finding examples for (e) covering every value of x(n), and then deducing that option was true, so (e) was probably the opposite of what I said - "If ∏(n) = 2, every value of x(n) is possible to obtain." or something similar.

I guess when Oxford put the paper up we'll see for certain.
13. (Original post by DFranklin)
Haven't seen the paper, but I'm havnig trouble seeing how both (b) and (e) aren't false.

Specifically, for (b), it's not possible for x(n) to be 0, for all other digits d=1,...,9 we can find composite n with ∏(n) = 1, x(n) = d. The smallest solutions for each d are:

81, 32, 243, 4, 25, 16, 27, 8, 9,

Similarly for (e), the following numbers with ∏(n) =2 show all values of x(n) are obtainable.

10, 21, 12, 33, 14, 15, 6, 57, 18, 39.

What am I missing here?
I am pretty sure that the e) was not as you quoted.
14. (Original post by goofyygoober)
Anybody remembers the answer to the MCQ about the graph of （x^2-1）+（cospix）
I'm quite sure that the question was (x-1)^2 - cos(πx)
15. (Original post by 0x3bfc9a1)
I'm quite sure that the question was (x-1)^2 - cos(πx)
okay, the answer is still (a) though
16. (Original post by goofyygoober)
okay, the answer is still (a) though
I can't remember the choices. I think the correct answer was the only one with two global minima.
17. I did all of the questions, and I think some of the difficult problems that appeared in past papers did not show up in the 2016 paper.

1. Logarithms did not appear in any of the problems.

2. Multiple choices did not include 'finding the greatest number'.

3. I was not asked to graph in any of the questions (except for multiple choice where I was asked to choose the correct graph of (x-1)^2-cos(πx).

4. There was not a question about finding the number of roots to polynomials.

Subjectively I think the 2016 paper is easier than ones in the past few years.

Q2 was about two commutable functions A and B, and i think it is impossible to have 214x+96 since 214>2*96

Q3 mainly dealt with functions that are symmetric against x=\alpha

Q4 was an easy one, the angle was π/6 and area was 4√3-(11/6)π i think.

Q5 was about the summation of n2^n and included ∑i<n∑k<i k2^k as the last part, i think the last part required us to use f(n) again to find the expression. It is probably
8 - 2^(n + 3) + 2n + n2^(n + 2).
18. (Original post by 0x3bfc9a1)
I did all of the questions, and I think some of the difficult problems that appeared in past papers did not show up in the 2016 paper.

1. Logarithms did not appear in any of the problems.

2. Multiple choices did not include 'finding the greatest number'.

3. I was not asked to graph in any of the questions (except for multiple choice where I was asked to choose the correct graph of (x-1)^2-cos(πx).

4. There was not a question about finding the number of roots to polynomials.

Subjectively I think the 2016 paper is easier than ones in the past few years.

Q2 was about two commutable functions A and B, and i think it is impossible to have 214x+96 since 214>2*96

Q3 mainly dealt with functions that are symmetric against x=\alpha

Q4 was an easy one, the angle was π/6 and area was 4√3-(11/6)π i think.

Q5 was about the summation of n2^n and included ∑i<n∑k<i k2^k as the last part, i think the last part required us to use f(n) again to find the expression. It is probably
8 - 2^(n + 3) + 2n + n2^(n + 2).
How many points do you think I would lose in q4 for putting alpha=arctan sqrt(3)/3 (I worked with tangents and thought it would be a random angle). And in question 2 m_i and n_i were positive so the margin is wider (214-96)*6>214
19. (Original post by riemmanmath)
How many points do you think I would lose in q4 for putting alpha=arctan sqrt(3)/3 (I worked with tangents and thought it would be a random angle). And in question 2 m_i and n_i were positive so the margin is wider (214-96)*6>214
I am not so sure what you mean by (214-96)*6>214. For Q4 you didn't get alpha's simplest form, I don't know how you are supposed to get the area correct since you will need the angle to calculate the sector area.
20. How many marks will the last part of 2 be worth?

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