# AQA Pure Mathematics A Level Unofficial Mark Scheme

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#1
Here by popular request 😉. Submit the answers you guys got below and we can work out what the answers are together in one place.
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3 years ago
#2
Q1 it was the one to the right
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3 years ago
#3
Q2 Ke^Kx
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3 years ago
#4
Last question i got the derivative to be -2(e^-x)(sinx), the rest of that question was show that questions, for the last part they wanted you to identify that it was a geometric series where r<1 so it converges for the sum to infinity, then you use the formula and rearrange, must have been 14? marks in total
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3 years ago
#5
6
3 years ago
#6
Correct

(Original post by ridwan157)
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3 years ago
#7
Proof - 5 marks: (not sure if this is right :/ )

Consider n to be a rational number such that n= a/b, and m is an irrational number such that it cannot be represented as a fraction, a and b are integers with no common factors

Assume the sum of n and m is always rational : n +m = x/y where x/y is in its simplest form and x and y share no common factors

Rearrange:

m= x/y - n
m= x/y - a/b
m= (xb-ay) / (by)
However this is a contradiction as it has been assumed that m cannot be represented as a fraction, therefore the sum must always be irrational
5
3 years ago
#8
-2/sqrt5 for the tanx one
proof of rational + irrational number let rational = a/b and irrational = c a/b + c = d/e expand and rearrange for c=(bd-ae)/be which is writing c as a rational number which contradicts the original statement
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3 years ago
#9
Parametric question:
tide at 2am is when t=0, i think h was like 5. something cant remember

next high tide is at 8am

Maximum velocity is when h=3 ? I used dv/dt = 0 for that question
1
3 years ago
#10
2
3 years ago
#11
I thought it was (-1, 1)
(Original post by Ttxxkingxxtt)
Correct
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3 years ago
#12
For the combined rate of change question you needed to show that dr/dt = (k/(4pi))*r^-2 => dr/dt is inversely proportional to r^2

dr/dt = dr/dv * dv/dt

where dv/dr = 4pir^2, dv/dt = k (as it increases at a constant rate)
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3 years ago
#13
Stationary point question was x=2/3
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3 years ago
#14
i got a as 2...
(Original post by ridwan157)
For the combined rate of change question you needed to show that dr/dt = (k/(4pi))*r^-2 => dr/dt is inversely proportional to r^2

dr/dt = dr/dv * dv/dt

where dv/dr = 4pir^2, dv/dt = k (as it increases at a constant rate)
(Original post by Ttxxkingxxtt)
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3 years ago
#15
Does anyone have any ideas of grade boundaries? I think I have done really bad and I need an A in maths. Any predictions
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3 years ago
#16
for point of intersection why did i get 2 sets of coordinates :*((
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3 years ago
#17
For the functions question:

f(x)= (x^2+1)/2

range is y>=0.5 ??? I used the minimum point to figure this out

f^-1(x) = sqrt(2x-1)
Range of f^-1(x) is the domain of f(x) which was restricted to x>=0, so range of f^-1(x) is f^-1(x)>=0

Transformation from f(x) to f^-1(x) was reflection in line y=x

Intersection is (1,1)
1
3 years ago
#18
My GUESS is 55/100 for an A on this paper, don't be worried we got 2 papers left
(Original post by tostiw)
Does anyone have any ideas of grade boundaries? I think I have done really bad and I need an A in maths. Any predictions
1
3 years ago
#19
(Original post by unagdi)
for point of intersection why did i get 2 sets of coordinates :*((
I didnt get any broo🙃😂
1
3 years ago
#20
(Original post by ridwan157)
My GUESS is 55/100 for an A on this paper, don't be worried we got 2 papers left
I think I got maybe 40-50. If I get anything over 50 I’d be happy because for question 16 in only did the first 3 marker and didn’t do the rest. Also couldn’t do the proof. Also couldn’t integrate to get 16-ln17.
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