AQA 2016 C1 Unofficial Mark Scheme

Hoping we can put together the questions and answers to this paper. If there are any mistakes let me know.
1a.
b.
c. k =30
2a. (3√5)^2 = 45
b. ((3√5)^2+√5) / (7+3√5)
= 75 - 3√5
Circle Question = (x
Radius = √65
Integration Question = 81/4
Shaded Area = 45/4
Geometrical Transformation Question = Translation by [1/2- 41/4]

4a. Show that (x+1) was a factor, subbed in to = 0
b. Give p(x) as three linear factors (x+3)(x-4)(x-4)
c. Find remainder when p(x) is divided by (..), r = 20
d. Divide p(x) by (x-2) and leave in the form (x-2)(x^2-bx+c)+n, (x-2)(x^2-bx+c)+52

shouldn't 4(d) be +20 at the end because that was the remainder? that's what I got and it seemed to work.

Unofficial 2016 AQA mark scheme.
Hoping we can put together the questions and answers to this paper. If there are any mistakes let me know.

1a. Work out the gradient of a tangent, m = -5/3
b. Find the co-ordinates of B, B(-3,4)
c. Work out k from (3+5k, 4-3k) ?, k = -30

2a. Simplify (3√5)^2 = 45
b. ((3√5)^2+√5) / (7+3√5) = 75 - 32√5

3a. Put x^2-7x-2, y= (x - 7/2)^2 - 41/4
bi. minimum value = - 41/4
c. Translation of (1/2 , 41/4)

4a. Show that (x+1) was a factor, subbed in to = 0
b. Give p(x) as three linear factors (x+3)(x-4)(x-4)
c. Find remainder when p(x) is divided by (..), r = 20
d. Divide p(x) by (x-2) and leave in the form (x-2)(x^2-bx+c)+n, (x-2)(x^2-3x+14) + 20

5ai. Find equation of circle, (x-5)^2+(y+3)^2 = 65
ii. radius = √65
b. Find the co-ordinates of B when AB is the diameter, B(12,-7)
c. Find the equation of the tangent at A, 7x-4y+18=0
d. Find the length CT = √ 81 = 9

6a. Find the equation of the tangent, y = -32x - 40
bi. Find the value of Q, Q(-5/4)
ii. Sketch the graph of 8-4x-2x^2, n-shaped parabola with y-intercept = 8
c. k=4 and k=20

7a. Find d^2y / dx^2,
b.
c. Find the definite integral between -2 & 1, 81/4
d. Find the shaded area ( definite integral - area of triangle), 45/4

8a.
b.
8bii. Solve the inequality (9k^2.....), -3/2< k & k<6

Side note
I remember a question with -2(x+1)^2+10
and you get this from solving for x, x = -1±√5

How many marks was the circle question worth altogether ?

Unofficial 2016 AQA mark scheme.
Hoping we can put together the questions and answers to this paper. If there are any mistakes let me know.

1a. Work out the gradient of a tangent, m = -5/3 (2marks)
b. Find the co-ordinates of B, B(-3,4) (2marks)
c. Work out k from (3+5k, 4-3k) ?, k = -30 (3marks)

2a. Simplify (3√5)^2 = 45 (2marks)
b. ((3√5)^2+√5) / (7+3√5) = 75 - 32√5 (4marks)

3a. Put x^2-7x-2, y= (x - 7/2)^2 - 41/4
bi. minimum value = - 41/4 (1mark)
c. Translation of (1/2 , 41/4)

4a. Show that (x+1) was a factor, subbed in to = 0 (2marks)
b. Give p(x) as three linear factors (x+3)(x-4)(x-4) (3marks)
c. Find remainder when p(x) is divided by (..), r = 20 (2marks)
d. Divide p(x) by (x-2) and leave in the form (x-2)(x^2-bx+c)+n, (x-2)(x^2-3x+14) + 20 (3marks)

5ai. Find equation of circle, (x-5)^2+(y+3)^2 = 65 (2marks)
ii. radius = √65 (1mark)
b. Find the co-ordinates of B when AB is the diameter, B(12,-7)
c. Find the length CT = √ 81 = 9
d. Find the equation of the tangent at A, 7x-4y+18=0

6a. Find the equation of the tangent, y = -32x - 40
ii. Find the value of x (something), x = -1±√5
bi. Find the value of Q, Q(-5/4)
ii. Sketch the graph of 8-4x-2x^2, n-shaped parabola with y-intercept = 8 & x axis intercepts at -1+√5 & -1-√5 (3marks)
c. k=4 and k=20

7a.
b.
c. Find the definite integral between -2 & 1, 81/4
d. Find the shaded area ( definite integral - area of triangle), 45/4

8ai. Find d^2y / dx^2, -2x - 9x^2 (2marks)
ii. d^2y/dx^2= - 2x - 9x^2 sub in x-coordinate of p to get 45, 45>0 therefore it is a minimum value
bi. Y= k(4x + 1) & y= ...... , You had to make the y's equal each other then rearrange to form an equation given
8bii. Solve the inequality (9k^2.....), -3/2 < k & k > 6 (4marks)

First post here, hello!

Some of your solutions for six were for question seven if I recall correctly - finding the tangent and the coordinates of Q were specifically to do with the integral if I'm not mistaken?

Question six had you solve the quadratic for -1 ± √ 5, sketch the graph, do a 1 mark 'show that' question and then solve the inequality, I think it just needs to be rearranged a bit.

Question 5) c) and d) are the wrong way round

for 8bii shouldn't k<-3/2 and k>6

AQA 2016 UNOFFICIAL MARK SCHEME

1)
a. Work out the gradient of a tangent, m = -5/3 (2marks)
b. Find the co-ordinates of B, B(-3,4) (2marks)
c. Work out k from (3+5k, 4-3k) ?, k = -30 (3marks)

2)
a. Simplify (3√5)^2 = 45 (2marks)
b. ((3√5)^2+√5) / (7+3√5) = 75 - 32√5 (4marks)

3)
a. Put x^2-7x-2, y= (x - 7/2)^2 - 41/4
bi. minimum value, - 41/4 (1mark)
c. What is the geometrical transformation from y=(...) onto y=(x-4)^2, Translation by (1/2 , 41/4)

4)
a. Show that (x+1) was a factor, subbed in to = 0 (2marks)
b. Give p(x) as three linear factors, (x+3)(x-4)(x-4) (3marks)
c. Find remainder when p(x) is divided by (..), r = 20 (2marks)
d. Divide p(x) by (x-2) and leave in the form (x-2)(x^2-bx+c)+n, (x-2)(x^2-3x+14) + 20 (3marks)

5)
ai. Find equation of circle, (x-5)^2+(y+3)^2 = 65 (2marks)
ii. radius = √65 (1mark)
b. Find the co-ordinates of B when AB is the diameter, B(12,-7)
c. Find the length CT, √ 81 = 9
d. Find the equation of the tangent at A, 7x-4y+18=0

6)
a. Find the equation of the tangent, y = -32x - 40
ii. Find the value of x (something), x = -1±√5
b. Sketch the graph of 8-4x-2x^2, n-shaped parabola with y-intercept = 8 & x axis intercepts at -1+√5 & -1-√5 (3marks)
c. k=4 and k=20

7)
a.
b. Find the value of Q, Q(-5/4)
c. Find the definite integral between -2 & 1, 81/4
d. Find the shaded area ( definite integral - area of triangle), 45/4

8)
ai. Find d^2y / dx^2, -2x - 9x^2 (2marks)
ii. d^2y/dx^2= - 2x - 9x^2 sub in x-coordinate of p to get 45, 45>0 therefore it is a minimum value
bi. Y= k(4x + 1) & y= ...... , You had to make the y's equal each other then rearrange to form an equation given
bii. Solve the inequality (9k^2.....), k < -3/2 & k > 6 (4marks)

Hope this helped you in any way.

Anyone got any idea what grade boundaries will be like?

How many marks was 7c and 7d?