Module Perfect Score SBP 2010

 

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bahagian sekolah berasrama penuh dan sekolah kluster additional mathematics

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sulit 3472/2 page 1 2 3 4 5 6 7 8 about this module we learn examination format analysis table of spm add maths questions list of formulae and normal table additional mathematics notes problem solving strategy partition i ii ii-iii iv v-vii viii-xvi xvii xviii this module is 1 specially planned for students who will be sitting for spm 2 to provide exposure and to familiarize students with the needs of the actual spm exam questions 3 to prepare students with adequate knowledge prior to the examination 4 comprises challenging questions which incorporate a variety of questioning techniques and levels of difficulty and conforms to the current spm farmat that which we persist in doing becomes easier ­ not that the nature of the task has changed but our ability to do has increased i vi 3472/2 lihat sebelah sulit

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sulit 3472/2 10 of what we read 20 of what we hear 30 of what we see 50 of what we hear and see 70 of what we discuss with others 80 of what we experience personally 95 of what we teach to someone i hear and i forget i see and i remember i do and i understand examination format paper 1 format objective test no of questions total marks duration l.o.d additional materials short questions 25 questions 80 2 hours l 15 m7-8 h2-3 scientific calculators mathematical tables geometrical sets paper 2 format subjective questions no of questions a 6 b 4/5 c 2/4 total marks 100 duration 2 hours 30 minutes l.o.d additional materials l 6 m4-5 h4-5 scientific calculators mathematical tables geometrical sets vii 3472/2 lihat sebelah sulit

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sulit 3472/2 key towards achieving 1a read question carefully follow instructions start with your favourite question show your working clearly choose the correct formula to be used gunakannya dengan betul final answer must be in the simplest form the end answer should be correct to 4 s.f or follow the instruction given in the question 3.142 kunci mencapai kecemerlangan proper correct ways of writing mathematical notations check answers proper allocation of time for each question paper 1 3 7 minutes for each question paper 2 sec a 8 10 minutes for each question sec b 15 minutes for each question sec c 15 minutes for each question module ini disediakan secara maya oleh bil nama panel bil nama panel pn hjh saripah ahmad pn noterzam bt jaafar 1 6 sek men sains muzaffar syah melaka tel 013-3759142 email sahmozac@gmail.com stmfp tel 012-9586646 email zamjaa63@yahoo.com.my 2 pn hjh azizah kamar sbpi sabak bernam tel 0192586854 email azizahkamar@yahoo.com.my pn ding hong eng sek sains alam syah tel 016-2754793 email dinghongeng2@yahoo.com pn hjh sabariah samad sek men sains rembau negeri sembilan tel 0126538910 7 en lim yu teong sms kuching sarawak tel 0168688915 email smskpl@yahoo.com.sg pn norizah rahmat sms johor keluang tel 019-7161200 email norizah_hid@yahoo.com pn rohaya binti morat sms teluk intan perak tel 0195696626 email rohayamorat@yahoo.com pn yeow pow choo sek men sains selangor tel 0123342830 email pcyeow8108@gmail.com 3 8 4 9 email cikgusab@yahoo.com.my 5 cik mariah bt abd rahman kolej islam sulatan alam shah tel 019-2793972 email mariah_abrah@yahoo.com 10 viii 3472/2 lihat sebelah sulit

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sulit 3472/2 analysis table of spm additional mathematics questions 2004-2009 amaths 3472 spm chapter 1 2 3 4 5 6 7 8 9 functions quadratic equations quadratic functions simultaneou s equations indices and logarithms coordinate geometry statistics circular measure differentiation 0 4 0 5 paper 2 paper 1 section a 0 6 0 7 0 8 09 0 4 0 5 06 07 0 8 0 9 04 05 section b 0 6 07 0 8 0 9 04 05 section c 06 07 0 8 0 9 3 3 1 2 2 1 2 1 1 3 1 2 3 1 2 3 1 2 1 1 1 1 1 1 1 1 1 2 3 2 1 1 1 1 2 2 3 1 1 1 3 2 2 1 1 2 2 2 1 1 2 2 1 1 1 1 1 2 1 1 1 1 2 3 1 1 1 2 3 1 1 1 1 1/3 1 1 1/3 1 1 3 1 1 10 11 1 2 3 solution of triangle index number progressions linear law integration 1 2 1/2 1 1 4 3 1 1 1 1 2 1 2 2 1 1 1 1 3 1 1 2 1 1 1 1 3 1 1 2 1 1 1 1 3 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 2/3 1 1 1 2/3 1 1 2 3 1 1 ½ ½ 1 1 1 1 1 1/2 1 4 5 6 7 8 9 10 vectors trigonometric functions permutations /combinations probability probability distributions motion along a straight line linear programming 2 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 4 1 1 4 1 1 4 1 1 4 total 2 5 2 5 2 5 2 5 2 5 25 6 6 6 6 6 6 5 5 5 5 5 5 4 ix 3472/2 lihat sebelah sulit

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sulit 3472/2 the following formulae may be helpful in answering the questions the symbols given are the ones commonly used algebra 1 x b b 4ac 2a 2 8 logab log c b log c a 2 am an a m n 3 am an a m n 9 10 11 12 tn a n-1d sn 4 am n a nm 5 6 7 loga mn log am loga n loga n [2a n 1d 2 tn ar n-1 sn m log am loga n n log a mn n log a m a r n 1 a 1 r n r 1 r 1 1 r a 13 s r <1 1 r calculus 1 y uv 2 dy dv du u v dx dx dx du dv v u u dy y dx 2 dx v v dx dy dy du dx du dx yabab dx or x dy abab 5 volume generated 3 y 2 dx or x 2 dy geom etry x1 x 2 2 y1 y 2 2 1 distance 2 midpoint x y y y2 x1 x 2 1 2 2 5 a point dividing a segment of a line nx mx 2 ny1 my 2 x,y 1 mn mn 6 area of triangle 1 x1 y 2 x 2 y 3 x3 y11 x 2 y1 x3 y 2 x1 y 3 2 3 4 r x2 y2 r xi yj x2 y 2 4 area under a curve x 3472/2 lihat sebelah sulit

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statistics 1 x x n 7 8 9 2 i 2 x fx f x x n 2 3 x n x _2 w1 i1 w1 n n pr n r n n cr n r r 10 2 pa b pa pb pa b p x=r ncr prqnr p q 1 mean np 4 f x x f 2 fx f x 2 11 5 m 1 2n f l c fm 12 13 14 6 p i 1 100 p0 npq x z trigonometry 1 arc length s r 2 area of sector a 3 sin 2a cos 2a 1 4 sec2a 1 tan2a 5 cosec2 a 1 cot2 a 6 sin2a 2 sinacosa 7 cos 2a cos a ­ sin a 2 cos2a-1 1 2 sin2a 8 tan2a 2 tan a 1 tan 2 a 2 2 9 sin a b sinacosb cosasinb 1 2 r 2 10 cos a b cos acosb sinasinb 11 tan a b tan a tan b 1 tan a tan b 12 a b c sin a sin b sin c 13 14 a2 b2 +c2 2bc cosa area of triangle 1 absin c 2 vi 3472/2 lihat sebelah sulit

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vii lihat sebelah 3472/2 sulit

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perfect score 2010 for examiner s use only answer all questions p q 1 1 2 3 4 diagram 1 6 7 8 9 diagram 1 shows the relation between set p and set q based on the above diagram state a b the domain the range 2 marks 1 answer a b b2 dan g b b 2 1 3 2 2 given that f 1 b find a b f 2k gf 1 2 3 marks 2 answer a 3 3472/1

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for examiner s use only 3 given that f :x x 1 3 b and gf x x 2 3 x 2 find g [3 marks 3 answer 3 4 solve the quadratic equation 2 y y 2 31 y give your answer correct to four significant figures 3 marks 4 3 answer

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5 given that a x 2 ­ x ­ 15 and b x 2 find the range of x if a 3b for examiner s use only [3 marks answer 6 the function m x 2 x 2 3 x k has a minimum value of 3 find a the value of k b the corresponding value of x 7 8 3 marks 6 answer a b 3 3472/1

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for examiner s use only 7 given that k 3 p and h 9 m express log 9 k2 in terms of m and p 3h [3 marks 7 3 solve the equation log 4 m log 16 3m 4 answer 8 4 marks 8 4 answer 9 solve the equation 4 log 3 x 8 [3 marks 9 3 answer

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10 given that m ­ 3 m 1 and 6m 1 are three consecutive terms of an positive geometric progression find a the value of m b the sum of the first 6 terms for examiner s use only [4 marks 10 answer a b 4 11 the sum of the first n terms sn of an arithmetic progression is given by sn 1 2 3n 4n find the 16th terms 4 [3 marks 11 3 answer 3472/1

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for examiner s use only 12 the value of a car decreases yearly by 10 of its value in the previous year if a new car was bought in the year 2000 at a price of rm 80 000 calculate its value in the year 2010 3 marks 12 3 answer 13 y 3 10 1 4 o diagram 3 x2 diagram 3 shows part of a straight line graph obtained by plotting value of x when y 85 y against x 2 .find the [4 marks 13 4 answer

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for examiner s use only 14 q6,k p -2 4 rajah 2 r 8 14 diagram 2 shows the points p -2 4 q 6 k and r 8 14 lies on a straight line the points q internally divides the line segment pr in the ratio m n find m n [3 marks 14 3 answer 15 7 given u and v 9 case a u and v are parallel b u v p 1 3 find the possible values of p for each of the following [2 marks [2 marks 15 4 answer a 3472/1

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