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Edexcel AS Level Maths May 15th 2025 Pure Paper 1 + Unofficial Mark Scheme

Edexcel AS Level Maths May 15th 2025 Pure Paper 1 + Unofficial Mark Scheme

Unofficial mark scheme:
Credit to: @Jeff1527383

1i) A(-3,0) B(0,7) Asymptote y=3
ii) A(-1,0) B(2,-7) Asymptote y=-3
2a) y=4x+12
b) {y : 2x^2+5x-3 <= y < 4x+12}
3a) 2sqrt(10)
b) 47.6 degrees
4a)Centre (-5, 2), radius sqrt(28)
b) {k: 2-2sqrt(7)<k<2+2sqrt(7)}
5a) f(x) = 1/4 x^4 - 3x^(-1/2)
b) x^5/20 - 6x^(1/2) + C
6a) Sub in x=-3 and set equal to 0. Rearrange for -3a+b = 5
b) a=-1, b=2
7a) profit would be negative
b) Max x = 145.81
c) a=450, b=-1, c=-130
di) £450,000
dii) £130
8) x = 21.1, 38.9, 81.1
9) use b^2-4ac=0, rearrange for q
10) x=5, only answer (reject x=-4)
11a) show that question, just find an equation for A and for V in terms of L and substitute one into the other.
b) 44.8cm
c) find second derivative to be 6pi > 0 thus minimum
d) £56.78
e) Assume you can pay for the exact amount used and not need to buy two whole sheets when only 1.89 are used.
12a) sketch a positive quadratic with roots at -3 and 0
b) dy/dx = 3x^2 + 9x
13a) h = 31 - 31.3e^(-0.0223t), {a = 31.3, k = 0.0223}
b) 31
ci) -0.3m
cii) Not suitable as the tree cannot have negative height
di) dh/dt = 0.69799e^(-0.0223t)
dii) 37.9 years (1 dp)
14a) p = 28k^2
b) pairs are (a=3, k=3/2) and (a=-23/3, k=5/6)
15a) Sometimes true
b) Never true

(edited 9 months ago)

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Reply 160

jb1234student

Original post

by Mark Hal

Hello,
Did anyone get x=10cm for the minimum value for the cylinder?

what did you do to get that answer?

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