Paper 1

Question 1

Show 12 cos(30) - 2 tan(60) can be written in the form root k

Answer 1

cos(30) = root 3 / 2
12 cos(30) = 6 root 3
tan(60) = root 3
2 tan(60) = 2 root 3
12 cos(30) - 2 tan(60) = 4 root 3
4 root 3 = root 48

Question 2

READ ALL PARTS OF THE QUESTION

Answer 2

E.G.
How to give the answer

All the information in a circle theorem

Estimate a graph if it tells you to estimate!

READ THE QUESTION AND CHECK PROPERLY AT THE END

Question 3

What is an invariant point?

Answer 3

Points on a line or shape which DON’T move when a specific transformation is applied.

Question 4

f(x) = 2x + c
g(x) = cx + 5
fg(x) = 6x + d
c and d are constants
What is d?

Answer 4

f(x) = 2x + c
g(x) = cx + 5
cx + 5
times 2
then add c
2(cx+5) + c
2cx + 10 + c
Separate x
2cx = 6x
c = 3
5 times 2
Add c which is 3
=13

Question 5

Diagram shows circle x^2 + y^2 = 10
P lies on the circle and has an x coordinate of 1.
Tangent at P intersects X~axis at Q
Find Coordinates of Q

Answer 5

P(1,3)
grad PQ = - 1/3
y = - 1/3x + c
1 = -1 + c
c = 2
y = - 1/3 x + 2
0 = -