OCR C3 2017 Official Community Markscheme

Due to vandalism of the mark scheme, I will not be adding anyone to this document, all contributors have had their access revoked.

Thank you to all those that did contribute. See you on Friday for C4!

1) Volumes of revolution: V =  (5 marks)

2 i) Area = 26.62 (4 marks)

   ii) New integral = -2 -53.23 (2 marks)

3.i) Graph of y = |2x-7a|. crosses axes at (0,7a) and (3.5a,0) (3 marks)

ii) 3a/2 < x < 11a/2

iii) |2lnN - 10.5| <6

Greatest Integer N to satisfy is 3827

4. i)

(3 marks)

    ii)

(3 marks)

    iii)

(2 marks)

5.  (8 marks)

6i) stretch s.f 3 parallel to y axis

Translate 1 place in negative x-direction

(2 marks)

ii)

(2 marks)

iii)

    Reflect across

iv) x=5

7i)

(3 marks)

ii)   show

 Q.E.D (3 marks)

iii)X0 = -1

-1.27

(-1.27,2.79)

(4 marks)

8.i)

(5 marks)

ii)

(5 marks)

9.i) Show that has 2 stationary points

=0

if 2 real roots

 because (4 marks)

ii) 10a + 4b = 0 hence 5a+2b=0

#

Because of

Q.E.D (5 marks)

UMS Predictions:

100ums: 65

90ums (A*): 59

80ums (A): 53

70ums (B): 46

60ums (C): 38