here is a mark scheme i compiled with some friends; troplouis, Joeworrall, Cakiej.
Q1 Factor theorem
(a) –4 (2)
(b)(i) 3 (2)
(b)(ii) a=2, b=2, c= -3 (3)
Q2 Parametric Equations
(a) -2t^2 (3)
(b) y – 3 = (x+2)/2 (4)
(c) y= 1 + 2((1/3(1 – x))^3 (2)
Q3 Partial fractions
(a) a=2, B=1 (3)
(b) 2ln(x – 1) + 1/3ln(3x – 2) +c (2)
(c) P= 3 Q=4 R=-1 (3)
Q4 Binomial Expansion
(a) 1 +3/2x + 3/8x^2 (2)
(b) 64 +54x- 243/32x^2 (3)
(c) 46 +27/32 (2)
Q5 Trig
(a) Use 1-2sin^2x (3)
(b) Sinx= 1 , Sinx= -2/3 (2)
(c) (i) R =13^0.5, alpha=33.7 (3)
(ii) x = 69.9, 143.8 (2)
Q6 Implicit differentiation
(a) x = 2 (2)
(b) –3/2 (5)
Q7 Vectors
(a) Can’t remember (3)
(b) (i)Lambda=-1 Mew=3 (4)
(c) (ii)forgotten (1)
(d) C could be point (-1,-1,1) or (3,-1,3) (4)
If you got that for (d) then it’s likely you’ve got all the marks for the question.
Q8 Differential equations
(a) x=(9-t/10)^2 - 1 OE (6)
(b) 8% (2)
(c) dA/dt= KA(9-A) (2)
(d) 15.4 Hours (4)
We're pretty sure all these are right. Couldn't remember the exact points for the vector question and didn't want to guess, if anyone remembers tell me and I'll change it.
MackaBizzle, Troplouis, Joeworrall, Cakiej.