January 2011 OCR Maths Core 1, Core 2, Core 3, Core 4, Mechanics 1 & Statistics 1 A Level Papers & Mark Schemes

[Avril]

Core 2 Answers:

1. i) (3 marks)

ii) 98 (3 marks)


2. i) 5, 8, 11 (2 marks)

ii) Arithmetic (1 mark)

iii) 45350 (3 marks)


3. i) Area = 1.82 (3 s.f.) (4 marks)

ii) Underestimate as trapeziums lie beneath the curve (2 marks)


4. a) 3.97 (3 s.f.) (4 marks)

b) (4 marks)


5. i) Show r = ... (3 marks)

ii) a = 16 (3 marks)

iii) Sum = 63.8 (3 s.f.) (2 marks)


6. a) (4 marks)

b) i) (3 marks)

ii) (1 mark)


7. i) 9.22 degs, 99.2 degs (3 s.f.) (3 marks)

ii) 0 degs, 180 degs, 41.8 degs, 138 degs (3 s.f.) (5 marks)


8. i) Theta = 2.45 (3.s.f) (3 marks)

ii) A = 22.6 square cm (3 s.f.) (3 marks)

iii) P = 21.6 cm (3 s.f.) (4 marks)


9. i) Verify and factor is x - 3 (2 marks)

ii) (3 marks)

iii) (0.25, 0) and (-1, 0) (2 marks)

iv) 40.8 square units (5 marks)

[Avril]

Core 1 Answers:

1. (i) Length of AB = 10 (2 marks)

(ii) Gradient of AB = -3/4 (2 marks)

(iii) They are perpendicular (3 marks)


2. p = 2 and q = 5 (3 marks)


3. (i) (1 mark)

(ii) (1 mark)

(iii) (3 marks)


4. (6 marks)


5. (i) Sketch of (2 marks)

(ii) (2 marks)

(iii) Stretch scale factor 5 in y direction OR stretch scale factor in x direction (2 marks)


6. (i) (4 marks)

(ii) (2 marks)


7. (i) (4 marks)

(ii) (4 marks)

(iii) k = -9 (3 marks)


8. (i) 4x + y - 32 = 0 (6 marks)

(ii) Midpoint = (6.5, 6) (3 marks)

(iii) x = 3 (2 marks)

(iv) or (2 marks)


9. (i) Centre (4, 1) radius (3 marks)

(ii) (3 marks)

(iii) Length of chord = 8 (3 marks)

(iv) (6, -3) (6 marks)

[david]

There's a core 2 ocr jan 2011 rewrite at:

http://www.mathsmadeeasy.co.uk/maths...2011-paper.htm