C2 Past Paper Booklet - The Grange School Blogs

More documents

Recommendations

Info

Jan 201035yOxThe diagram shows parts of the curves y = x 2 + 1 and y = 11 − 9 , which intersect at (1, 2) and (3, 10).2xUse integration to find the exact area of the shaded region enclosed between the two curves. [7]6 The cubic polynomial f(x) is given byf(x) = 2x 3 + ax 2 + bx + 15,where a and b are constants. It is given that (x + 3) is a factor of f(x) and that, when f(x) is dividedby (x − 2), the remainder is 35.(i) Find the values of a and b. [6](ii) Using these values of a and b, divide f(x) by (x + 3). [3]7AEFBCThe diagram shows triangle ABC, with AB = 10 cm, BC = 13 cm and CA = 14 cm. E and F are pointson AB and AC respectively such that AE = AF = 4 cm. The sector AEF of a circle with centre A isremoved to leave the shaded region EBCF.(i) Show that angle CAB is 1.10 radians, correct to 3 significant figures. [2](ii) Find the perimeter of the shaded region EBCF. [3](iii) Find the area of the shaded region EBCF. [5]© OCR 2010 4722 Jan10 Turn over
Jan 201048 A sequence u 1, u 2, u 3, . . . is defined byu 1= 8 and u n+1= u n+ 3.(i) Show that u 5= 20. [2](ii) The nth term of the sequence can be written in the form u n= pn + q. State the values of p and q.[2](iii) State what type of sequence it is. [1](iv) Find the value of N such that2N∑n=1u n−N∑n=1u n= 1256. [5]9 (i) Sketch the curve y = 6 × 5 x , stating the coordinates of any points of intersection with the axes.[3](ii) The point P on the curve y = 9 x has y-coordinate equal to 150. Use logarithms to find thex-coordinate of P, correct to 3 significant figures. [3](iii) The curves y = 6 × 5 x and y = 9 x intersect at the point Q. Show that the x-coordinate of Q can bewritten as x = 1 + log 3 22 − log 35 . [5]Copyright InformationOCR is committed to seeking permission to reproduce all third-party content that it uses in its assessment materials. OCR has attempted to identify and contact all copyright holderswhose work is used in this paper. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced in the OCR CopyrightAcknowledgements Booklet. This is produced for each series of examinations, is given to all schools that receive assessment material and is freely available to download from our publicwebsite (www.ocr.org.uk) after the live examination series.If OCR has unwittingly failed to correctly acknowledge or clear any third-party content in this assessment material, OCR will be happy to correct its mistake at the earliest possible opportunity.For queries or further information please contact the Copyright Team, First Floor, 9 Hills Road, Cambridge CB2 1GE.OCR is part of the Cambridge Assessment Group; Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a departmentof the University of Cambridge.© OCR 2010 4722 Jan10
Page 1 and 2: The Grange SchoolMaths DepartmentCo
Page 3 and 4: June 200534In the diagram, ABCD is
Page 6 and 7: Jan 200635 In a geometric progressi
Page 8 and 9: June 200621 Find the binomial expan
Page 10 and 11: June 200649 (i) Sketch the curve y
Page 12 and 13: 3Jan 20076 (i) Find and simplify th
Page 14 and 15: June 200721 A geometric progression
Page 16 and 17: 1Jan 20082AO0.7 rad11 cmBThe diagra
Page 18 and 19: Jan 200849 (i)yO-180° 180°xFig. 1
Page 20 and 21: 5June 2008y3O2 14xThe diagram shows
Page 22 and 23: Jan 200921 Find(i) (x 3 + 8x − 5
Page 24 and 25: Jan 200947 In the binomial expansio
Page 26 and 27: 8June 20093ABOFig. 1Fig. 1 shows a
Page 30 and 31: June 201021 The cubic polynomial f(
Page 32 and 33: Jan 201121 (i) Find and simplify th
Page 34 and 35: 9Jan 2011y4xThe diagram shows the c
Page 36 and 37: 4June 2011y331OxThe diagram shows t
Page 38 and 39: 1Jan 20122A4.2 radO12 cmBThe diagra
Page 40: 4Jan 20127 (a) Find ∫ (x2 + 4)(x

C2 Past Paper Booklet - The Grange School Blogs

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?