|
|
- Drusilla McLaughlin
- 5 years ago
- Views:
Transcription
1 SULIT 47/ 47/ Matematik Tambahan Kertas ½ jam Ogos 008 SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH / KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 008 MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU. This question paper consists of three sections : Section A, Section B and Section C.. Answer all question in Section A, four questions from Section B and two questions from Section C.. Give only one answer / solution to each question.. 4. Show your working. It may help you to get marks. 5. The diagram in the questions provided are not drawn to scale unless stated. 6. The marks allocated for each question and sub-part of a question are shown in brackets.. 7. A list of formulae is provided on pages to. 8. A booklet of four-figure mathematical tables is provided. 9. You may use a non-programmable scientific calculator. Kertas soalan ini mengandungi halaman bercetak 47/ SULIT
2 SULIT 47/ The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. b ± = b 4ac a ALGEBRA 8 log ab = log log c c b a a m a n = a m + n a m a n = a m - n 4 (a m ) n = a nm 5 log a mn = log am + log a n m 6 log a = log am - log a n n 7 log a m n = n log a m 9 T n = a + (n-)d 0 n S n = [a + ( n ) d] T n = ar n- n n a( r ) a( r ) S n = = r r a S = r, r <, (r ) y = uv, u y =, v dy d = dy du dy dv du = u + v d d d du dv v u dy d d, = d v du d CALCULUS 4 Area under a curve b = y d or a = b dy a 5 Volume generated = b π y d or a GEOM ETRY b = π dy a Distance = Midpoint + (, y) = r = + y i + r = 4 yj + y ( y ) + ( y ) y + y, 5 A point dividing a segment of a line n + m ny + my (,y) =, m + n m + n 6. Area of triangle = ( y + y + y ) ( y + y + y ) 47/ SULIT
3 SULIT 47/ STATISTICS = = σ = = 4 σ = = 5 M = P(AB)=P(A)+P(B)-P(AB) p (X=r) =, p + q = Mean, = np 4 z = TRIGONOMETRY Arc length, s = r Area of sector, A = sin A + cos A = 4 sec A = + tan A 5 cosec A = + cot A 6 sina = sinacosa 7 cos A = cos A sin A = cos A- = - sin A 8 tana = 9 sin (AB) = sinacosb cosasinb 0 cos (AB) = cos AcosB sinasinb tan (AB) = a = b +c - bc cosa 4 Area of triangle = [ Lihat sebelah 47/ SULIT
4 4 SECTION A [40 marks] Answer all questions in this section.. Solve the simultaneous equations h + k = 5 and k h = 7. Give your answers correct to three decimal places. [5 marks]. Solution to this question by scale drawing will not be accepted. Diagram shows a straight line PRQ y S P R 0 Q Diagram The points P and Q intersects the y ais and the -ais. R is the midpoint of line PQ. The equation of line PR is + y = 0 (a) Find (i) the coordinates of R. [ marks] (b) (ii) the area of triangle OPS if SR was etended to the origin and PS is parallel to the -ais. [ marks] A point X moves such that its distance from P is always of its distance from Q [ marks]
5 SULIT 5 47/ Diagram shows a histogram representing the distribution of the heights of 0 students in a class. Number of students Calculate (a) the value of f Height (cm) Diagram [ marks] (b) the value of f [ marks] (c) the standard deviation of the number of patients visiting the clinic. [ marks] 4. Diagram shows the particles A and B are projected simultaneously towards each other from the opposite end of a straight tube, 9 m long. A Diagram Particle A travels 47 cm in the st nd rd second, 45 cm in second, 4 cm in the second, etc. Particle B travels 5 cm in the st nd second, 4 cm in second, cm in rd the second, etc. Find how long it takes for both particles to meet. [6 marks] B [ Lihat sebelah 47/ SULIT
6 5. (a) Find the equation of the normal to the curve y at the point (, -). (b) [ marks] A cylindrical tank with a circular base of radius 0.5 m is filled with h m of turpentine. If the turpentine is evaporating at a uniform rate of 0.00 m s -, find the rate of change in the level of turpentine. Leave your answer in terms of. marks] [ 6. (a) Prove the identity cos 4 θ - sin 4 θ = cos θ. [ marks] (b) By sketching the graph of y = sin 4 θ - cos 4 θ and a suitable straight line on the same ais for 0 θ π, state the number of solutions for the equation sin 4 θ - cos 4 θ =. [5 marks] 47/ SULIT
7 SULIT 7 47/ SECTION B [40 marks] Answer four questions from this section. 7. Use the graph paper provided to answer this question. Table shows the values of two variables, and y, obtained from an eperiment. Variables and y are related by an equation y pk, where p and k are constants y Table (a) Plot log 0 y against ( ), by using the scale of cm to unit on the -ais and cm to 0. unit on the y-ais. Hence, draw the line of best fit. [5 marks] (b) Use the graph in 7 (a) to find the value of (i) p, (ii) k [5 marks] [ Lihat sebelah 47/ SULIT
8 8. In the Diagram 4, OP = 8 p, OQ = 0 q and PS = 4 q. Q 0 T S 4 O 8 P Diagram 4 (a) Epress each of the following vectors in terms of p and/or q. (i) OS (ii) QP [4 marks] (b) Given that OT = aos and QT = bop, epress OT in terms of (i) a, p and q (ii) b, p and q [ marks] (c) Hence, find the values of a and b. [ marks] 47/ SULIT
9 SULIT 9 47/ 9. Diagram 5 shows sector AOB and sector OED with centre O and E respectively. OCE is a right angle triangle. (Use =.4). A C B O D Diagram 5 θ E Given that AOB = 50 0, OA = 0 cm, OE = 8 cm and OB : BC = :. Calculate (a) θ in radian, [ marks] (b) perimeter of the shaded region in cm, [4 marks] (c) area of the shaded region in cm. [4 marks] [ Lihat sebelah 47/ SULIT
10 0. (a) Given y = (t )(t + ) and = t +, find dy d in terms of. [ marks] (b) Diagram 6 shows the curve y = ( )( 5) intersects with a straight line y p at the point (, 8). y Find, (, 8) y = + p Diagram 6 (i) the value of p, (ii) the area of the shaded region. [5 marks] O (iii) the volume generated when the region y bounded = ( - )( by - 5) the straight line =, y = + p, the and y-aes is revolved 60 o on the -ais. [ marks]. (a) In one housing area, 0% of the residents are senior citizens. i) If a sample of seven persons is chosen at random, calculate the probability that at least two of them are senior citizens. [ marks] ii) If the variance of the senior citizens is 8, find the number of residents in the housing area. [ marks] b) In a field study, it is found that the mass of a student is normally distributed with a mean of 50 kg and standard deviation 5 kg. i) If a student is selected randomly, calculate the probability that his mass is less than 4 kg. [ marks] ii) Given that % of the students have a mass greater than m kg, find the value of m. 47/ SULIT
11 SULIT 47/ SECTION C [ marks] [0 marks] Answer two questions from this section.. A particle moves along a straight line from a fied point O. Its velocity, V ms -, is given by V = 5t t, where t is the time, in seconds, after leaving the point O. (Assume motion to the right is positive) Find a) the maimum velocity of the particle, [ marks] b) the distance travelled during the fourth second, [ marks] c) the value of t when the particle passes the point O again, [ marks] d) the time between leaving O and when the particle reverses its direction of motion. [ marks] Food Price Inde, I Weightage, w Fish 0 Chicken m Rice 0 5 Meat 05 n Prawn 5 Table Table shows the price indices and weightage of 5 types of food consumed in the year 007 using 006 as the base year. The composite inde of these 5 items in the year 007 using 006 as the base year is 7 and w =. a) Calculate the values of m and n. [4 marks] b) Find the price of a kilogram of rice in the year 007 if its price in the year 006 is RM.50. [ marks] [ Lihat sebelah 47/ SULIT
12 c) Given that the projected rate of change in the prices of all the foods from 007 to 008 is the same as that from 006 to 007. Find (i) (ii) the composite inde number of these foods in the year 008, using the year 006 as the base year. the amount to be paid for these foods in the year 008 if the amount paid for these items in 006 was RM650. [4 marks] 4. An institution offers two types of Mathematics courses, Calculus and Statistic. The number of students taking Calculus course is and the number of students taking Statistic course is y. The number of students taking the Mathematics courses is based on the following constraints: I : II : The ratio of the number of students taking Calculus course to the number of students taking Statistic course is not more than 80 : 0. The total number of students taking Mathematics courses is less than or equal to 80. III : The number of students taking Statistic course is at least 0 IV: The number of students taking Calculus course is more than 0. (a) (b) (c) Write four inequalities, other than 0 and y 0,which satisfy all the above constraints. [4 marks] Using a scale of cm to 0 students on both aes, construct and shade the region R which satisfies all of the above constraints. [ marks] By using your graph from (b),find (i) (ii) the range of the number of students for Calculus course if the number of students for Statistics course is 0. the maimum eamination fee that can be collected if the eamination fees for Calculus and Statistics courses are RM 00 and RM 400 respectively. [ marks] 47/ SULIT
13 SULIT 47/ 5. A E 5 cm D 6 cm B 7 o C Diagram 7 Diagram 7 shows the triangle ABC, where D is a midpoint of the line AC and ABC is an obtuse angle. Triangle CDE is an isosceles triangle such that CD = DE. Given that the length of AC = 0 cm, EC = 6 cm, AB = 5 cm and ACB 7 o. a) Calculate the ABC [ marks] b) Find the area of triangle ABC [ marks] c) If the line CB is etended to point F, find the length of the shortest distance from point A to line CF. [ marks] d) Calculate the CDE [ marks] END OF QUESTION PAPER [ Lihat sebelah 47/ SULIT
14 47/ Matematik Tambahan Kertas ½ jam Ogos 008 SEKOLAH BERASRAMA PENUH BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH / KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 008 MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit MARKING SCHEME Skema Pemarkahan ini mengandungi halaman bercetak
15 QUESTION NO. SOLUTION MARKS h + k = (i) k - h = (ii) From (i) h = 5 - k (iii) k - (5 - k) = 7 k + 6k - = 0 Eliminate h or k Use k = -b b - 4ac a ()(-) () =.568, Solve the quadratic equation by using the quadratic formula or completing square h = -0.6,.6 5 a i) P( 0, 6 ), Q (4, 0 ) R = (, ) Find coord. P,Q and use midpoint formula ii) OPS = or 4 6 = b) PX = XQ P = ( 0) + ( y 6) = ( 4) + ( y 0) = y 8 48y P P P P
16 a) See 4, 48, 5, 58, 6 and 68 P 4(4) + 5(48) + 8(5) + 9(58) +(6) + (68) 465 b) 4(4 ) + 5(48 ) + 8(5 ) + 9(58 ) + (6 ) + (68 ) 795 c) σ = f f Find the value of min Use s.d formula 8 4 a 47, d = or a = 5, = A = A B d B P n [ (47) + ( n )( ) ] n or [ (5) + ( n )( ) ] n [ (47) + ( n )( ) ] n + [ (5) + ( n )( ) ] = 900 n 47n = 0 Factorize/solve Accept listing method n = a) Find dy d correctly and subtitude = Use mm = y =
17 4 b) V 0.5 h dv 0.5 dh dv dv dh dt dh dt 0.00 (0.5 ) dh dt 50 dh dt 6 6 a) 4 4 cos sin (cos sin )(cos sin ) (cos sin )() cos b) y P P Graph of cos Min/ma Graph of = cos - & Draw a straight line of y P period for 0 Number of solutions = 8 P P
18 5 7 a) log 0 y = log 0 p + ( ) log 0 k P log y b) Refer to the graph Accept listing method Plot all the points correctly Draw the best line fit y-intercept = log 0 p t = 4 gradient = log 0 k p = 5.6 k =
19 Answer for question 7 6 Log 0 y (a) - 456log y A cce
20 7 8 a i) ii) b i) ii) uuur uuur uuur OS OP OS = 8p+4q % % uuur uuur uuur QP QO OP = 8p-0q % % uuur OT a(8 p 4 q) 8ap 4aq % % uuur uuur uuur uuur QT OT OQ bop uuur OT 8bp 0q P 4 c) 8bp 8ap % % b = a 4 aq = 0q % % 4 a = a =, b Comparison Solve Both correct 0 9 a) 5 tan o =.08 rad b) 50 S AB = 0 ( π ) = P 4 Perimeter of OAB = or EC = = 7 Perimeter of shaded region = = 4.76
21 c) Area OAB Area OAB or Area OED 4 Area OED Area area shaded region
22 9 0 a) dy d = t or dt dt dy d = dy dt dt d = t = = = or y b i) ii) p = 6 P Area of shaded region (6 8)() ( 8 5) d Area of triangle Integration L + L 5 iii) Volume ( 6) d 0 (4 4 6) d Use 0 Integrate 0
23 0 a i) ii) b i) ii) 0 a) a = 5 6t 5 6t = 0, t = 5 6 s 75 V ma = 8 ms - // 8.75 // 4 4 a = 0 Substitute t into v b) c) d) S = 5 t t Distance travelled = S 4 S 5 t t = 56 - = 40 S 4 -S 5 m = 0, S=0 t = 5 s 5 t t = 0 Time between = 5 s Accept listing method V=0 0
24 a) n = P 0()+m()+0(5)+05()+5() 7 m = 08 b) Q07 00 = 0 Q Q 07 = 00 Q = c i) I I I = X I I I = = 6.89 ii) Q08 X 00 = Q 08 = Refer to the graph
25 Answer for question 4 (a) I. y II. III. IV (b) Refer to the graph, graph correct graphs correct 90 Correct area (c) ma point ( 50,0 ) 80 i) ii) k = y 70 Ma fees = 00() + 400(59) = RM 7, (,59)
26 5 a) 5 0 sin 7 sin ABC sin ABC ' ABC 65. or 65 4 ABC ' 4.77 or 4 46 b) BAC P Area of triangle ABC (0)(5)sin * c) sin d) CDE (5)(5) cos ' cos CDE 7.74 or
SEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 2008
SULIT 47/ Matematik Tambahan Kertas Sept 008 Jam Name :.. Form :.. SEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 008 MATEMATIK TAMBAHAN Kertas Dua jam JANGAN BUKA KERTAS
More informationSULIT 47/ The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. x b ± b 4ac a ALGEBRA 8 log
SULIT 47/ 47/ Matematik Tambahan Kertas ½ jam 009 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 009 MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit JANGAN BUKA
More information3472/1 Name :.. Matematik Tambahan
7/1 Name :.. Matematik Tambahan Kertas 1 Form :.. Ogos 008 Jam SEKOLAH BERASRAMA PENUH BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH / KLUSTER KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN
More informationSEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 2008
SULIT 7/ Matematik Tambahan Kertas Sept 008 Jam Name :.. Form :.. SEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 008 MATEMATIK TAMBAHAN Kertas Dua jam JANGAN BUKA KERTAS SOALAN
More informationSULIT / / Matematik Tambahan Kertas ½ jam 0 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 0 MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit JANGAN BUKA KERTAS
More informationSMS MUZAFFAR SYAH, MELAKA
SULIT 7/ ADDITIONAL MATHEMATICS PAPER AUGUST 008 HOURS NAMA : KELAS : NO K.P : A. GILIRAN : - JABATAN PELAJARAN NEGERI SABAH SIJIL PELAJARAN MALAYSIA TAHUN 008 EXCEL ADDITIONAL MATHEMATICS PAPER (KERTAS
More informationSEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN LIMA 2007
1449/2 Matematik Kertas 2 Mei 2007 1 2 jam 2 NAMA : TINGKATAN : 1449/2 SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN LIMA 2007 MATEMATIK
More informationSULIT 449/ 449/ Mathematics Nama : Kertas September Kelas : 008 jam PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 008 SEKOLAH-SEKOLAH ZON A KUCHING MATHEMATICS Kertas Dua jam tiga puluh minit JANGAN BUKA
More informationUNTUK KEGUNAAN PEMERIKSA SAHAJA
SULIT PROGRAM GEMPUR KECEMERLANGAN SIJIL PELAJARAN MALAYSIA 08 NEGERI PERLIS SIJIL PELAJARAN MALAYSIA 08 MATEMATIK TAMBAHAN Kertas Peraturan Pemarkahan Ogos 47/(PP) UNTUK KEGUNAAN PEMERIKSA SAHAJA Peraturan
More information1 Nama:... Kelas :... MAKTAB SABAH, KOTA KINABALU PEPERIKSAAN PERTENGAHAN TAHUN 2009 MATEMATIK TAMBAHAN TINGKATAN 4 Dua jam tiga puluh minit JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1. This question
More informationMatematik Tambahan Kertas September JABATAN PELAJARAN SELANGOR 009 1 jam PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 009 ` MATEMATIK TAMBAHAN Kertas Dua jam tiga puluh minit JANGAN BUKA KERTAS SOALAN
More informationName: Index Number: Class: CATHOLIC HIGH SCHOOL Preliminary Examination 3 Secondary 4
Name: Inde Number: Class: CATHOLIC HIGH SCHOOL Preliminary Eamination 3 Secondary 4 ADDITIONAL MATHEMATICS 4047/1 READ THESE INSTRUCTIONS FIRST Write your name, register number and class on all the work
More information47/ NO. KAD PENGENALAN Additional Mathematics Paper ANGKA GILIRAN Hours JABATAN PELAJARAN NEGERI PULAU PINANG ADDITIONAL MATHEMATICS Paper Two Hours J
PROGRAM DIDIK CEMERLANG AKADEMIK SPM ADDITIONAL MATHEMATICS MODULE 9 MODEL SPM QUESTIONS ( PAPER ) ORGANISED BY: JABATAN PELAJARAN NEGERI PULAU PINANG 47/ NO. KAD PENGENALAN Additional Mathematics Paper
More informationSULIT 3472/1. Nama:.. Tingkatan: 3472/1 NO. KAD PENGENALAN Matematik Tambahan PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 2009
SULIT 347/1 Nama:.. Tingkatan: 347/1 NO. KAD PENGENALAN Matematik Tambahan Kertas 1 ANGKA GILIRAN 009 September jam JABATAN PELAJARAN SELANGOR PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 009 MATEMATIK
More informationNama Pelajar : 347/ Additional Mathematics Paper September 00 Tingkatan 5 :. PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH NEGERI KEDAH DARUL AMAN PEPERIKSAAN PERCUBAAN SPM 00 ADDITIONAL MATHEMATICS
More information3472/2 Additional Mathematics Paper 2 [Lihat sebelah SULIT
008 SPM TRIAL EXAMINATION Question Solution and marking scheme. y y P Make y as the subject y y y y 0 0 9 6y y 6y y y 0 0 Eliminate y 9 0 0 y.,..07, 0.07.07 /.08, 0.07 / 0.08 y. /.,. /. Solve quadratic
More informationSULIT /2 3472/2 Matematik Tambahan Kertas 2 2 ½ jam 2009 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING
SULIT 1 347/ 347/ Mtemtik Tmbhn Kerts ½ jm 009 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 009 MATEMATIK TAMBAHAN Kerts Du jm tig puluh minit JANGAN BUKA KERTAS
More informationTABLE OF CONTENTS 2 CHAPTER 1
TABLE OF CONTENTS CHAPTER 1 Quadratics CHAPTER Functions 3 CHAPTER 3 Coordinate Geometry 3 CHAPTER 4 Circular Measure 4 CHAPTER 5 Trigonometry 4 CHAPTER 6 Vectors 5 CHAPTER 7 Series 6 CHAPTER 8 Differentiation
More informationAnswers for NSSH exam paper 2 type of questions, based on the syllabus part 2 (includes 16)
Answers for NSSH eam paper type of questions, based on the syllabus part (includes 6) Section Integration dy 6 6. (a) Integrate with respect to : d y c ( )d or d The curve passes through P(,) so = 6/ +
More informationInternational General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS PAPER 2 MAY/JUNE SESSION 2002
International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS ADDITIONAL MATHEMATICS 0606/2 PAPER 2 MAY/JUNE SESSION 2002 2 hours Additional materials: Answer paper Electronic
More informationSULIT 1449/1 ppr maths nbk SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN DIAGNOSTIK TINGKATAN
449/ 449/ Matematik Kertas Oktober 007 4 jam SEKTOR SEKOLAH ERASRAMA PENUH AHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN IAGNOSTIK TINGKATAN 4 007 MATEMATIK Kertas Satu jam lima belas minit
More informationSULIT /2 ( 2) ( 2) 4(1)( 12) 2(1) Note: 1. If the solutions of x and y are matched wrongly, then SS-1 from full marks.
7/ Modul Peningkatan Prestasi Matematik Tambahan (Kertas ) SPM 6 Zon B Kuching Sarawak y y P Substitute () into () * * y * y y ( ) ( ) ()( ) () ( ) ( ) ()( ) y ().,. y.66,.66 Note:. If the solutions of
More informationabc Mathematics Pure Core General Certificate of Education SPECIMEN UNITS AND MARK SCHEMES
abc General Certificate of Education Mathematics Pure Core SPECIMEN UNITS AND MARK SCHEMES ADVANCED SUBSIDIARY MATHEMATICS (56) ADVANCED SUBSIDIARY PURE MATHEMATICS (566) ADVANCED SUBSIDIARY FURTHER MATHEMATICS
More informationThe region enclosed by the curve of f and the x-axis is rotated 360 about the x-axis. Find the volume of the solid formed.
Section A ln. Let g() =, for > 0. ln Use the quotient rule to show that g ( ). 3 (b) The graph of g has a maimum point at A. Find the -coordinate of A. (Total 7 marks) 6. Let h() =. Find h (0). cos 3.
More informationKertas soalan ini mengandungi 11 halaman bercetak
SULIT 1 4531/3 4531/3 Fizik Kertas 3 Mei 2007 1 ½ jam SEKTOR SEKOLAH BERASRAMA PENUH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN 5 2007 FIZIK Kertas 3 Satu jam tiga puluh minit
More informationx n+1 = ( x n + ) converges, then it converges to α. [2]
1 A Level - Mathematics P 3 ITERATION ( With references and answers) [ Numerical Solution of Equation] Q1. The equation x 3 - x 2 6 = 0 has one real root, denoted by α. i) Find by calculation the pair
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/02 Paper 2 Examination from 2013 SPECIMEN PAPER 2 hours Candidates
More informationNATIONAL QUALIFICATIONS
Mathematics Higher Prelim Eamination 04/05 Paper Assessing Units & + Vectors NATIONAL QUALIFICATIONS Time allowed - hour 0 minutes Read carefully Calculators may NOT be used in this paper. Section A -
More information2016 SEC 4 ADDITIONAL MATHEMATICS CW & HW
FEB EXAM 06 SEC 4 ADDITIONAL MATHEMATICS CW & HW Find the values of k for which the line y 6 is a tangent to the curve k 7 y. Find also the coordinates of the point at which this tangent touches the curve.
More informationMOZ@C MATHEMATICS NAMA : KELAS : NO K.P : A. GILIRAN : PAPER 1 AUGUST 008 1 HOUR 15 MINUTES JABATAN PELAJARAN NEGERI SABAH SIJIL PELAJARAN MALAYSIA TAHUN 008 EXCEL MATHEMATICS (MATEMATIK) PAPER 1 (KERTAS1)
More informationSec 4 Maths. SET A PAPER 2 Question
S4 Maths Set A Paper Question Sec 4 Maths Exam papers with worked solutions SET A PAPER Question Compiled by THE MATHS CAFE 1 P a g e Answer all the questions S4 Maths Set A Paper Question Write in dark
More informationJABATAN PELAJARAN NEGERI PERAK GERAK GEMPUR SIJIL PELAJARAN MALAYSIA SET 2 (Paper 1) Two Hours
347/1 Name: Additional Mathematics Set (P1) Class: 010 hours JABATAN PELAJARAN NEGERI PERAK GERAK GEMPUR SIJIL PELAJARAN MALAYSIA 010 Additional Mathematics SET (Paper 1) Two Hours Question Full Marks
More informatione x for x 0. Find the coordinates of the point of inflexion and justify that it is a point of inflexion. (Total 7 marks)
Chapter 0 Application of differential calculus 014 GDC required 1. Consider the curve with equation f () = e for 0. Find the coordinates of the point of infleion and justify that it is a point of infleion.
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education *7292744436* ADDITIONAL MATHEMATICS 0606/23 Paper 2 May/June 2017 2 hours Candidates answer on the
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 05 MARKS: 50 TIME: 3 hours This question paper consists of 5 pages and a 4-page answer book. Mathematics/P DBE/November 05 CAPS Grade INSTRUCTIONS
More informationSEKOLH ERSRM PENUH HGIN PENGURUSN SEKOLH ERSRM PENUH / KLUSTER KEMENTERIN PELJRN MLYSI PEPERIKSN PERCUN SELRS SP 008 1449/1 SIJIL PELJRN MLYSI MTHEMTICS Kertas 1 Ogos 1¼ jam Satu jam lima belas minit JNGN
More informationMATHEMATICS EXTENSION 2
Sydney Grammar School Mathematics Department Trial Eaminations 008 FORM VI MATHEMATICS EXTENSION Eamination date Tuesday 5th August 008 Time allowed hours (plus 5 minutes reading time) Instructions All
More informationSolutionbank C2 Edexcel Modular Mathematics for AS and A-Level
file://c:\users\buba\kaz\ouba\c_rev_a_.html Eercise A, Question Epand and simplify ( ) 5. ( ) 5 = + 5 ( ) + 0 ( ) + 0 ( ) + 5 ( ) + ( ) 5 = 5 + 0 0 + 5 5 Compare ( + ) n with ( ) n. Replace n by 5 and
More informationHIGHER SCHOOL CERTIFICATE EXAMINATION MATHEMATICS 2/3 UNIT (COMMON) Time allowed Three hours (Plus 5 minutes reading time)
HIGHER SCHOOL CERTIFICATE EXAMINATION 998 MATHEMATICS / UNIT (COMMON) Time allowed Three hours (Plus 5 minutes reading time) DIRECTIONS TO CANDIDATES Attempt ALL questions. ALL questions are of equal value.
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *054681477* ADDITIONAL MATHEMATICS 407/11 Paper 1 May/June 017 hours Candidates answer on the Question Paper. No Additional Materials are required.
More informationTime: 1 hour 30 minutes
Paper Reference (complete below) Centre No. Surname Initial(s) Candidate No. Signature Paper Reference(s) 6663 Edexcel GCE Pure Mathematics C Advanced Subsidiary Specimen Paper Time: hour 30 minutes Examiner
More information1 / 23
CBSE-XII-017 EXAMINATION CBSE-X-008 EXAMINATION MATHEMATICS Series: RLH/ Paper & Solution Code: 30//1 Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
More informationPart (1) Second : Trigonometry. Tan
Part (1) Second : Trigonometry (1) Complete the following table : The angle Ratio 42 12 \ Sin 0.3214 Cas 0.5321 Tan 2.0625 (2) Complete the following : 1) 46 36 \ 24 \\ =. In degrees. 2) 44.125 = in degrees,
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *054681477* ADDITIONAL MATHEMATICS 4037/11 Paper 1 May/June 017 hours Candidates answer on the Question Paper. No Additional Materials are
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education
www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *0050607792* ADDITIONAL MATHEMATICS 0606/21 Paper 2 May/June 2012 2 hours
More informationUNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level
UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level *5238158802* MATHEMATICS 9709/31 Paper 3 Pure Mathematics 3 (P3) October/November 2013 Additional Materials:
More informationCore Mathematics 2 Coordinate Geometry
Core Mathematics 2 Coordinate Geometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Coordinate Geometry 1 Coordinate geometry in the (x, y) plane Coordinate geometry of the circle
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level *8790810596* ADDITIONAL MATHEMATICS 4037/13 Paper 1 October/November 2017 2 hours Candidates answer on the Question Paper. No Additional Materials
More informationADDITIONAL MATHEMATICS 4037/12 Paper 1 October/November 2016 MARK SCHEME Maximum Mark: 80. Published
Cambridge International Eaminations Cambridge Ordinary Level ADDITIONAL MATHEMATICS 07/ Paper October/November 06 MARK SCHEME Maimum Mark: 80 Published This mark scheme is published as an aid to teachers
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 3 1 3 1 7 3 6 3 6 2 * ADDITIONAL MATHEMATICS 4037/11 Paper 1 May/June 2015 2 hours Candidates answer on the Question Paper. No Additional
More informationHere is a link to the formula booklet:
IB MATH SL2 SUMMER ASSIGNMENT review of topics from year 1. We will be quizzing on this when you return to school. This review is optional but you will earn bonus points if you complete it. Questions?
More informationSMJK PEREMPUAN CHINA PULAU PINANG
SMJK PEREMPUAN CHINA PULAU PINANG PEPERIKSAAN PERCUBAAN PMR 2011 50/1 TINGKATAN 3 MATEMATIK Kertas 1 September 2011 1 1 jam Satu jam lima belas minit JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1.
More informationCorrect substitution. cos = (A1) For substituting correctly sin 55.8 A1
Circular Functions and Trig - Practice Problems (to 07) MarkScheme 1. (a) Evidence of using the cosine rule eg cos = cos Correct substitution eg cos = = 55.8 (0.973 radians) N2 (b) Area = sin For substituting
More informationIB Math SL 1: Trig Practice Problems: MarkScheme Circular Functions and Trig - Practice Problems (to 07) MarkScheme
IB Math SL : Trig Practice Problems: MarkScheme Circular Functions and Trig - Practice Problems (to 07) MarkScheme. (a) Evidence of using the cosine rule p + r q eg cos P Qˆ R, q p + r pr cos P Qˆ R pr
More information(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
More informationMT EDUCARE LTD. SUMMATIVE ASSESSMENT Roll No. Code No. 31/1
CBSE - X MT EDUCARE LTD. SUMMATIVE ASSESSMENT - 03-4 Roll No. Code No. 3/ Series RLH Please check that this question paper contains 6 printed pages. Code number given on the right hand side of the question
More informationMathematics 2001 HIGHER SCHOOL CERTIFICATE EXAMINATION
00 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time 3 hours Write using black or blue pen Board-approved calculators may be used A table of standard
More informationMODULE 1 PAPER 1 (3472/1)
MODULE 1 PAPER 1 (347/1) FUNCTIONS 1. Given that h(x) =, x 0 and v(x) = 3x +, find hv 1 ) x ( x. p : t t + qp : t t + 4t + 1. Based on the above information, find the function of q. QUADRATIC FUNCTIONS
More informationDEPARTMENT OF MATHEMATICS
DEPARTMENT OF MATHEMATICS AS level Mathematics Core mathematics 2 - C2 2015-2016 Name: Page C2 workbook contents Algebra Differentiation Integration Coordinate Geometry Logarithms Geometric series Series
More informationMARIS STELLA HIGH SCHOOL PRELIMINARY EXAMINATION 2
Class Inde Number Name MRIS STELL HIGH SCHOOL PRELIMINRY EXMINTION DDITIONL MTHEMTICS 406/0 8 September 008 Paper hours 0minutes dditional Materials: nswer Paper (6 Sheets RED THESE INSTRUCTIONS FIRST
More informationSMKDarulaman j*k
PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH NEGERI KEDAH DARUL AMAN PEPERIKSAAN PERCUBAAN SPM 2010 1449/1 MATHEMATICS ANSWER FOR PAPER 1 1 B 11 C 21 C 31 D 2 A 12 D 22 A 32 B 3 D 13 A 23
More information2014 HSC Mathematics Extension 1 Marking Guidelines
04 HSC Mathematics Etension Marking Guidelines Section I Multiple-choice Answer Key Question Answer D A 3 C 4 D 5 B 6 B 7 A 8 D 9 C 0 C BOSTES 04 HSC Mathematics Etension Marking Guidelines Section II
More informationPossible C4 questions from past papers P1 P3
Possible C4 questions from past papers P1 P3 Source of the original question is given in brackets, e.g. [P January 001 Question 1]; a question which has been edited is indicated with an asterisk, e.g.
More informationMathematics. Knox Grammar School 2012 Year 11 Yearly Examination. Student Number. Teacher s Name. General Instructions.
Teacher s Name Student Number Kno Grammar School 0 Year Yearly Eamination Mathematics General Instructions Reading Time 5 minutes Working Time 3 hours Write using black or blue pen Board approved calculators
More informationUdaan School Of Mathematics Class X Chapter 10 Circles Maths
Exercise 10.1 1. Fill in the blanks (i) The common point of tangent and the circle is called point of contact. (ii) A circle may have two parallel tangents. (iii) A tangent to a circle intersects it in
More informationAdd Math (4047/02) Year t years $P
Add Math (4047/0) Requirement : Answer all questions Total marks : 100 Duration : hour 30 minutes 1. The price, $P, of a company share on 1 st January has been increasing each year from 1995 to 015. The
More informationCambridge International Examinations CambridgeOrdinaryLevel
Cambridge International Examinations CambridgeOrdinaryLevel * 2 5 4 0 0 0 9 5 8 5 * ADDITIONAL MATHEMATICS 4037/12 Paper1 May/June 2015 2 hours CandidatesanswerontheQuestionPaper. NoAdditionalMaterialsarerequired.
More informationHIGHER SCHOOL CERTIFICATE EXAMINATION MATHEMATICS 4 UNIT (ADDITIONAL) Time allowed Three hours (Plus 5 minutes reading time)
N E W S O U T H W A L E S HIGHER SCHOOL CERTIFICATE EXAMINATION 996 MATHEMATICS 4 UNIT (ADDITIONAL) Time allowed Three hours (Plus 5 minutes reading time) DIRECTIONS TO CANDIDATES Attempt ALL questions.
More informationX C. Playground. Y x m. A = x 2 30x [2]
1 In the epansion of ( a )7, the efficient of 5 is 80. Find the value of the nstant a. A function f is such that f() = ( + ) + 1, for. Find (i) f 1 () in the form a + b + c, where a, b and c are nstants,
More informationPaper2Practice [303 marks]
PaperPractice [0 marks] Consider the expansion of (x + ) 10. 1a. Write down the number of terms in this expansion. [1 mark] 11 terms N1 [1 mark] 1b. Find the term containing x. evidence of binomial expansion
More informationReview Exercise 2. , æ. ç ø. ç ø. ç ø. ç ø. = -0.27, 0 x 2p. 1 Crosses y-axis when x = 0 at sin 3p 4 = 1 2. ö ø. æ Crosses x-axis when sin x + 3p è
Review Exercise 1 Crosses y-axis when x 0 at sin p 4 1 Crosses x-axis when sin x + p 4 ö 0 x + p 4 -p, 0, p, p x - 7p 4, - p 4, p 4, 5p 4 So coordinates are 0, 1 ö, - 7p 4,0 ö, - p 4,0 ö, p 4,0 ö, 5p 4,0
More information1 k. cos tan? Higher Maths Non Calculator Practice Practice Paper A. 1. A sequence is defined by the recurrence relation u 2u 1, u 3.
Higher Maths Non Calculator Practice Practice Paper A. A sequence is defined b the recurrence relation u u, u. n n What is the value of u?. The line with equation k 9 is parallel to the line with gradient
More informationS4 National 5 Write-On Homework Sheets
W O H R O K M S E W O H E E R T K S S4 National 5 Write-On Homework Sheets Contents Gradients & Straight Lines Functions & Graphs Symmetry in the Circle Inequalities Trigonometry Quadratic Equations Proportion
More information( ) 2 + ( 2 x ) 12 = 0, and explain why there is only one
IB Math SL Practice Problems - Algebra Alei - Desert Academy 0- SL Practice Problems Algebra Name: Date: Block: Paper No Calculator. Consider the arithmetic sequence, 5, 8,,. (a) Find u0. (b) Find the
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 2 4 2 8 1 9 0 7 2 * ADDITIONAL MATHEMATICS 0606/12 Paper 1 February/March 2016 2 hours Candidates
More informationSec 4 Maths SET D PAPER 2
S4MA Set D Paper Sec 4 Maths Exam papers with worked solutions SET D PAPER Compiled by THE MATHS CAFE P a g e Answer all questions. Write your answers and working on the separate Answer Paper provided.
More informationCambridge International Examinations Cambridge International General Certificate of Secondary Education
Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 0 8 7 6 9 0 5 1 6 * ADDITIONAL MATHEMATICS 0606/11 Paper 1 October/November 016 hours Candidates
More informationEdexcel GCE A Level Maths. Further Maths 3 Coordinate Systems
Edecel GCE A Level Maths Further Maths 3 Coordinate Sstems Edited b: K V Kumaran kumarmaths.weebl.com 1 kumarmaths.weebl.com kumarmaths.weebl.com 3 kumarmaths.weebl.com 4 kumarmaths.weebl.com 5 1. An ellipse
More informationPossible C2 questions from past papers P1 P3
Possible C2 questions from past papers P1 P3 Source of the original question is given in brackets, e.g. [P1 January 2001 Question 1]; a question which has been edited is indicated with an asterisk, e.g.
More informationINSTRUCTION: This section consists of THREE (3) structured questions. Answer ALL questions.
DBM0: ENGINEERING MATHEMATICS SECTION A : 7 MARKS BAHAGIAN A : 7 MARKAH INSTRUCTION: This section consists of THREE () structured questions. Answer ALL questions. ARAHAN : Bahagian ini mengandungi TIGA
More informationMathematics 2005 HIGHER SCHOOL CERTIFICATE EXAMINATION
005 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time hours Write using black or blue pen Board-approved calculators may be used A table of standard
More informationHIGHER SCHOOL CERTIFICATE EXAMINATION MATHEMATICS 2/3 UNIT (COMMON) Time allowed Three hours (Plus 5 minutes reading time)
N E W S O U T H W A L E S HIGHER SCHOOL CERTIFICATE EXAMINATION 996 MATHEMATICS /3 UNIT (COMMON) Time allowed Three hours (Plus minutes reading time) DIRECTIONS TO CANDIDATES Attempt ALL questions. ALL
More informationPreview from Notesale.co.uk Page 2 of 42
. CONCEPTS & FORMULAS. INTRODUCTION Radian The angle subtended at centre of a circle by an arc of length equal to the radius of the circle is radian r o = o radian r r o radian = o = 6 Positive & Negative
More informationARE YOU READY FOR CALCULUS?? Name: Date: Period:
ARE YOU READY FOR CALCULUS?? Name: Date: Period: Directions: Complete the following problems. **You MUST show all work to receive credit.**(use separate sheets of paper.) Problems with an asterisk (*)
More informationCambridge International Examinations Cambridge Ordinary Level
Cambridge International Examinations Cambridge Ordinary Level * 2 2 1 1 9 6 0 6 4 7 * ADDITIONAL MATHEMATICS 4037/22 Paper 2 May/June 2016 2 hours Candidates answer on the Question Paper. No Additional
More informationMath 9 Chapter 8 Practice Test
Name: Class: Date: ID: A Math 9 Chapter 8 Practice Test Short Answer 1. O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to the
More informationCreated by T. Madas 2D VECTORS. Created by T. Madas
2D VECTORS Question 1 (**) Relative to a fixed origin O, the point A has coordinates ( 2, 3). The point B is such so that AB = 3i 7j, where i and j are mutually perpendicular unit vectors lying on the
More informationCO-ORDINATE GEOMETRY. 1. Find the points on the y axis whose distances from the points (6, 7) and (4,-3) are in the. ratio 1:2.
UNIT- CO-ORDINATE GEOMETRY Mathematics is the tool specially suited for dealing with abstract concepts of any ind and there is no limit to its power in this field.. Find the points on the y axis whose
More informationSolutions to O Level Add Math paper
Solutions to O Level Add Math paper 4. Bab food is heated in a microwave to a temperature of C. It subsequentl cools in such a wa that its temperature, T C, t minutes after removal from the microwave,
More informationBOARD QUESTION PAPER : MARCH 2016 GEOMETRY
BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential
More informationPractice Papers Set D Higher Tier A*
Practice Papers Set D Higher Tier A* 1380 / 2381 Instructions Information Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name, centre number and candidate number.
More informationSection I 10 marks (pages 2 5) Attempt Questions 1 10 Allow about 15 minutes for this section
017 HIGHER SCHOOL CERTIFICATE EXAMINATION Mathematics General Instructions Reading time 5 minutes Working time hours Write using black pen NESA approved calculators may be used A reference sheet is provided
More information9/ 9/ Matematik Kertas Mei 007 jam SEKTOR SEKOLH ERSRM PENUH HGIN SEKOLH KEMENTERIN PELJRN MLYSI PEPERIKSN PERTENGHN THUN TINGKTN 5 007 MTEMTIK Kertas Satu jam lima belas minit JNGN UK KERTS SOLN INI SEHINGG
More informationWorksheet A VECTORS 1 G H I D E F A B C
Worksheet A G H I D E F A B C The diagram shows three sets of equally-spaced parallel lines. Given that AC = p that AD = q, express the following vectors in terms of p q. a CA b AG c AB d DF e HE f AF
More informationBrief Revision Notes and Strategies
Brief Revision Notes and Strategies Straight Line Distance Formula d = ( ) + ( y y ) d is distance between A(, y ) and B(, y ) Mid-point formula +, y + M y M is midpoint of A(, y ) and B(, y ) y y Equation
More information(b) Show that sin 2 =. 9 (c) Find the exact value of cos 2. (Total 6 marks)
IB SL Trig Review. In the triangle PQR, PR = 5 cm, QR = 4 cm and PQ = 6 cm. Calculate the size of PQˆ R ; the area of triangle PQR.. The following diagram shows a triangle ABC, where AĈB is 90, AB =, AC
More informationPaper collated from year 2007 Content Pure Chapters 1-13 Marks 100 Time 2 hours
1. Paper collated from year 2007 Content Pure Chapters 1-13 Marks 100 Time 2 hours 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Mark scheme Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question
More informationPhysicsAndMathsTutor.com
PhysicsAndMathsTutor.com June 005 1 AsequenceS has terms u 1, u, u,... defined by for n 1. u n = n 1, (i) Write down the values of u 1, u and u, and state what type of sequence S is. [] (ii) Evaluate 100
More informationOC = $ 3cos. 1 (5.4) 2 θ = (= radians) (M1) θ = 1. Note: Award (M1) for identifying the largest angle.
4 + 5 7 cos α 4 5 5 α 0.5. Note: Award for identifying the largest angle. Find other angles first β 44.4 γ 4.0 α 0. (C4) Note: Award (C) if not given to the correct accuracy.. (a) p (C) 4. (a) OA A is
More informationCreated by T. Madas. Candidates may use any calculator allowed by the regulations of this examination.
IYGB GCE Mathematics SYN Advanced Level Snoptic Paper C Difficult Rating: 3.895 Time: 3 hours Candidates ma use an calculator allowed b the regulations of this eamination. Information for Candidates This
More information