Markscheme for AS pure mathematics paper 1 set c

2 hours AS level Mathematics Edexcel
100 marks Paper 1 (Set C)



Q Answer Mark Comments
2
1 f   x   12 x 2  M1 Attempts to differentiate f  x  with at
x2
least one term correct

f  1  14  M1 Evaluates f  1
1
Gradient of normal at x  1 is  M1 Uses mtangent  mnormal  1
14
A1

f 1  2 B1 f 1
1
y2   x  1 M1 Uses y  y1  m  x  x1  or equivalent
14
x  14 y  29 A1 k = 29

2 2sin x sin x
3sin x  M1 Uses tan x 
cos x cos x
sin x  3cos x  2   0 M1 Deduces sin x  0 and solves
2
Either sin x  0  x  0 , 180 , 360 M1 Deduces cos x  and solves
3
2
Or 3cos x  2  0  cos x 
3
x  48.2 , 311.8 A1 At least two correct solutions

A1 Gives all solutions correct to
So in the interval 0 ≤ x ≤ 360°
x  0.0 , 48.2 , 180.0 , 311.8 , 360.0 one decimal place




© Oxford University Press 2017
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements AS level Mathematics Paper 1 (Set C)

, 3 AB : AC  2 : 3 
C is the point  4  1,  1  2    5,  3 M1 A1 Finds the point C

BC   5  4   3  1  5 units
2 2
M1 Finds length in either coordinate units or
metres

OR OR



AB   4  2   1  3  2 5 units
2 2
M1 A1 Finds the distance AB
1
AB : AC  2 : 3  BC  AB  5 M1 Finds length in either coordinate units
2 or metres
units


Each unit represents 2 m, and the cost is
£52 per metre, so A1 Accept £233 (nearest pound)

Total cost  5  2  52  £232.55

4 a  2,  3 B1

b  x  2 2  4   y  32  9  7  0 M1 Completes the square on LHS
   
 x  2    y  3  20  r 2  20
2 2
A1

Therefore, circle radius  20 A1




© Oxford University Press 2017
Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements AS level Mathematics Paper 1 (Set C)