CAMBRIDGE INTERNATIONAL MATHEMATICS Paper 4 (Extended)
October/November 2010 2 hours 15 minutes
Candidates answer on the Question Paper Additional Materials: Geometrical Instruments Graphics Calculator
READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. Do not use staples, paper clips, highlighters, glue or correction fluid. You may use a pencil for any diagrams or graphs. DO NOT WRITE IN ANY BARCODES. Answer all the questions. Unless instructed otherwise, give your answers exactly or correct to three significant figures as appropriate. Answers in degrees should be given to one decimal place. For π, use your calculator value. You must show all the relevant working to gain full marks and you will be given marks for correct methods, including sketches, even if your answer is incorrect. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 120. For Examiner's Use
This document consists of 18 printed pages and 2 blank pages.
IB10 11_0607_04/3RP © UCLES 2010
2 Formula List For the equation ax + bx + c = 0
_ b ± b2 _ 4ac 2a
A = 2πrh A = πrl A = 4πr2 V=
Curved surface area, A, of cylinder of radius r, height h. Curved surface area, A, of cone of radius r, sloping edge l. Curved surface area, A, of sphere of radius r. Volume, V, of pyramid, base area A, height h. Volume, V, of cylinder of radius r, height h. Volume, V, of cone of radius r, height h.
V = πr2h V=
1 3 4 3
Volume, V, of sphere of radius r.
a b c = = sin A sin B sin C
a2 = b2 + c2 – 2bc cos A Area =
bc sin A
© UCLES 2010
3 Answer all the questions. 1