3472/1 Name :.. Matematik Tambahan

Size: px
Start display at page:

Download "3472/1 Name :.. Matematik Tambahan"

Transcription

1 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 MALAYSIA 008 MATEMATIK TAMBAHAN Kertas 1 Dua jam JANGAN BUKA KERTAS SOALAN INI SEHINGGA DIBERITAHU 1 This question paper consists of 5 questions.. Answer all questions.. Give only one answer for each question.. Write your answers clearly in the spaces provided in the question paper. 5. Show your working. It may help you to get marks. 6. If you wish to change your answer, cross out the work that you have done. Then write down the new answer. 7. The diagrams in the questions provided are not drawn to scale unless stated. 8. The marks allocated for each question and sub-part of a question are shown in brackets. 9. A list of formulae is provided on pages to. 10. A booklet of four-figure mathematical tables is provided.. 11 You may use a non-programmable scientific calculator. 1 This question paper must be handed in at the end of the examination. Question Total Marks TOTAL 80 Marks Obtained Kertas soalan ini mengandungi 15 halaman bercetak 7/ 008 Hak Cipta SBP [Lihat sebelah

2 7/1 The following formulae may be helpful in answering the questions. The symbols given are the ones commonly used. ALGEBRA b b ac log c b 1 x 8 log a b a log c a a m a n a m + n a m a n a m - n (a m ) n a nm 5 log a mn log a m + log a n 6 m log a n log a m - log a n 7 log a m n n log a m 9 T n a + (n-1)d n 10 S n [a + ( n 1) d] 11 T n ar n-1 n n a( r 1) a(1 r ) 1 S n r 1 1 r a 1 S, r <1 1 r, (r 1) CALCULUS 1 y uv, u y, v dy dx dx dy dv u dx + v du v u dx v du dx dv dx, Area under a curve b y dx or a b a x dy dy dx dy du du dx 5 Volume generated b π y dx or a b π x dy a GEOMETRY 1 Distance Midpoint x + (x, y) 1 x r x + y ( x y 1 x ) + ( y1 ) y 1 + y, 5 A point dividing a segment of a line nx1 + mx ny1 + my ( x,y), m + n m + n 6 Area of triangle 1 ( x 1 y + x y + x y ) ( x 1 y1 + x y + x1 y ) rˆ xi + yj x + y 7/1 008 Hak Cipta SBP [ Lihat sebelah

3 7/1 STATISTIC 1 x x σ x N fx f ( x x) N x N _ x w1i 1 I w1 n n! P r ( n r)! n n! C r ( n r)! r! 10 P(A B) P(A)+P(B)- P(A B) σ f ( x x) f fx f x 11 P (X r) r C p q n r n r, p + q 1 1 N F 5 m L + C fm Q1 6 I 100 Q 0 1 Mean µ np 1 σ npq x µ 1 z σ TRIGONOMETRY 1 Arc length, s rθ Area of sector, L sin A + cos A 1 sec A 1 + tan A 5 cosec A 1 + cot A 6 sin A sina cosa 7 cos A cos A sin A cos A sin A 1 r θ 9 sin (A ± B) sina cosb ± cosa sinb 10 cos (A ± B) cosa cosb sina sinb tan A ± tan B 11 tan (A ± B) 1 tan Atan B 1 a sin A b sin B c sin C 1 a b + c - bc cosa 1 1 Area of triangle absin C 8 tan A tan A 1 tan A 7/1 008 Hak Cipta SBP [ Lihat sebelah

4 Blank Page 7/1 008 Hak Cipta SBP [Lihat sebelah

5 7/1 Answer all questions. 1. A function f maps the elements from set P { m,,9,16,5} to set Q { 0,, 8, 15, } as shown below in ordered pairs : { ( m, 0), (, ), (9, 8), (16, 15), (5, ) } (a) Write down the function notation for f. (b) State the value of m. (c) State the codomain. [ marks ] Answer : ( a ).. ( b ) ( c ).... Given that function f : x ax, a 0 and b. f : x 16x b, find the value of a and of [ marks ] 7/1 008 Hak Cipta SBP [ Lihat sebelah5

6 Answer : a. b... k. Given that function f : x, x 0, and x and of k. f : x, x h, find the value of h x h 1 [ markah ] Answer : h... k.... Given m and - are the roots of a quadratic equation x x k 1, find the value of m and of k. [ marks ] 6 7/1 008 Hak Cipta SBP [Lihat sebelah

7 7/1 Answer : m... k Given that quadratic equation x(x p) x has no roots, find the range of values of p. [ marks ] 5 Answer : Diagram 1 shows the graph of a curve f ( x) ( x + p) + q, where p and q are constants. f(x) x f ( x) ( x + p) + q x 8 O Diagram 1 Given the straight line x is the axis of symmetry of the curve and parallel to the y-axis. Find (a) the value of p, (b) the value of q, (c) the turning point of the curve f (x). [ marks] Answer : (a).... 7/1 008 Hak Cipta SBP [ Lihat sebelah7 6

8 (b)... (c) Find the range of the values of x for which x ( x 1) ( x + 5). [ marks] 7 Answer :... x Solve the equation 8 x. [ marks] 8 Answer : Solve the equation log 5 (5 x) 1 log5 x. [ marks] 8 7/1 008 Hak Cipta SBP [Lihat sebelah

9 7/ Given that p log q, express p in terms of q. log 9 7 Answer :... [ marks] 10 Answer : An arithmetic progression has 9 terms. The sum of the first four terms is and the sum of all the odd number terms is 55. Find a) the first term and the common difference, b) the seventh term. [ marks] 8 7/1 008 Hak Cipta SBP [ Lihat sebelah9 11

10 Answer: ( a ) For examiner s use only ( b) For a geometric progression, the sum of the first two terms is 0 and the third term exceeds the first term by 15. Find the common ratio and the first term of the geometric progression. [ marks] 1 Answer: Diagram shows the graph of xy against x. xy (7, ) O x (0, h) Diagram The variables x and y are related by the equation constant. Find the value of h and of k. k y x +, where k is a x [ marks] 10 7/1 008 Hak Cipta SBP [Lihat sebelah

11 7/1 1 Answer : h. k In Diagram below, the equation of straight line LM is x y 6 1. The points L and M lie on the x-axis and y-axis respectively. y 0 L x M Diagram Find the equation of a straight line which is perpendicular to LM and passes through the point M. [ marks] 1 Answer :. 15. In Diagram, OA a and OB b. On the same square grid, draw the line that represents the vector OC a b. [ marks ] B A 7/1 008 OHak Cipta SBP [ Lihat sebelah 11

12 16 15 Diagram 16. Given A(, 5), B(, ) and C( p, q ). Find the values of p and q such that AB BC 9 i 5 j. ~ ~ [ marks] 16 Answer: Solve the equation cos x sin x for 0 x 60. [ marks] 17 Answer: Diagram 5 shows a sector BOC of a circle with centre O. B 1 7/1 008 Hak Cipta SBP [Lihat sebelah

13 7/1 O 0.5 rad Diagram 5 C Given the perimeter of the sector BOC is.5 cm, calculate (a) the radius of the sector (b) the area of the sector. [ marks] 18 Answer: a)... b). 19. Given f ( x), find the value of f (). (5 x) [ marks] 19 Answer: 7/1 008 Hak Cipta SBP [ Lihat sebelah 1

14 0. Find the equation of normal to the curve y x 5x at the point when x 1. [ marks ] 0 Answer: x 1. Given that f ( x) dx 6, calculate f ( x) dx. 5 5 [ marks] 1 Answer:... It is given that the sum of 5 numbers is α. The mean of the sum of the square is 00 and the variance is β. Express α in terms of β. [ marks] 1 7/1 008 Hak Cipta SBP [Lihat sebelah

15 7/1 Answer:... A pack of present containing three pens are chosen from blue pens and 5 black pens. Find the probability of getting at least one black pen in the pack of present. [ marks] Answer: P O L I T E Diagram 6 Diagram 6 shows six cards of different letters. (a) Find the number of possible arrangements beginning with P. (b) Find the number of these arrangements in which the vowels are separated. [ marks ] Answer: ( a ) ( b ) 7/1 008 Hak Cipta SBP [ Lihat sebelah 15

16 5. X is a random variable which is normally distributed with mean µ and standard deviation of 6. Find (a) the value of µ, if the z-value is 1.5 when x, (b) P( X < 7 ). [ marks ] 5 Answer: ( a) ( b )... END OF QUESTION PAPER 16 7/1 008 Hak Cipta SBP [Lihat sebelah

17 7/1 7/1 008 Hak Cipta SBP [ Lihat sebelah 17

SEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 2008

SEKOLAH 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 information

SULIT 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/ 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 information

SEKOLAH MENENGAH ZON A KUCHING LEMBAGA PEPERIKSAAN PEPERIKSAAN PERCUBAAN SPM 2008

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 information

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

More information

SMS MUZAFFAR SYAH, MELAKA

SMS 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 information

SULIT / / 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 information

Matematik 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 information

SULIT 3472/1. Nama:.. Tingkatan: 3472/1 NO. KAD PENGENALAN Matematik Tambahan PROGRAM PENINGKATAN PRESTASI SAINS DAN MATEMATIK 2009

SULIT 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 information

SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERTENGAHAN TAHUN TINGKATAN LIMA 2007

SEKTOR 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 information

1 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 information

SULIT 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 information

47/ NO. KAD PENGENALAN Additional Mathematics Paper ANGKA GILIRAN Hours JABATAN PELAJARAN NEGERI PULAU PINANG ADDITIONAL MATHEMATICS Paper Two Hours J

47/ 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 information

SULIT 1449/1 ppr maths nbk SEKTOR SEKOLAH BERASRAMA PENUH BAHAGIAN SEKOLAH KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN DIAGNOSTIK TINGKATAN

SULIT 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 information

SULIT /2 3472/2 Matematik Tambahan Kertas 2 2 ½ jam 2009 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING

SULIT /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 information

JABATAN PELAJARAN NEGERI PERAK GERAK GEMPUR SIJIL PELAJARAN MALAYSIA SET 2 (Paper 1) Two Hours

JABATAN 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 information

Sec 4 Maths SET D PAPER 2

Sec 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 information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY 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 information

TABLE OF CONTENTS 2 CHAPTER 1

TABLE 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 information

MOZ@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 information

Candidates are expected to have available a calculator. Only division by (x + a) or (x a) will be required.

Candidates are expected to have available a calculator. Only division by (x + a) or (x a) will be required. Revision Checklist Unit C2: Core Mathematics 2 Unit description Algebra and functions; coordinate geometry in the (x, y) plane; sequences and series; trigonometry; exponentials and logarithms; differentiation;

More information

Sec 4 Maths. SET A PAPER 2 Question

Sec 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 information

Core Mathematics C1 (AS) Unit C1

Core Mathematics C1 (AS) Unit C1 Core Mathematics C1 (AS) Unit C1 Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, factorisation. Graphs of functions; sketching curves defined by simple equations.

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge 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 information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY 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 information

MODULE 1 PAPER 1 (3472/1)

MODULE 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 information

UNTUK KEGUNAAN PEMERIKSA SAHAJA

UNTUK 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 information

Cambridge International Examinations CambridgeOrdinaryLevel

Cambridge 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 information

The American School of Marrakesh. AP Calculus AB Summer Preparation Packet

The American School of Marrakesh. AP Calculus AB Summer Preparation Packet The American School of Marrakesh AP Calculus AB Summer Preparation Packet Summer 2016 SKILLS NEEDED FOR CALCULUS I. Algebra: *A. Exponents (operations with integer, fractional, and negative exponents)

More information

SULIT /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.

SULIT /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 information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education PAPA CAMBRIDGE Cambridge International Examinations Cambridge International General Certificate of Secondary Education * 9 1 0 4 5 3 8 9 2 1 * ADDITIONAL MATHEMATICS 0606/23 Paper 2 May/June 2014 2 hours

More information

Core Mathematics C12

Core Mathematics C12 Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Monday 13 January 2014 Morning Time: 2 hours

More information

Nama 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 information

Kertas soalan ini mengandungi 11 halaman bercetak

Kertas 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 information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge 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 information

SEKOLH 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 information

_a_. QSo25/1 Makematja. Paprl Kertas 1 Sernester II MATEMATIK BAHAGIAN MATRIKULASI KEMENTERIAN PELAJARAN MALAYSIA. ar,a6*ri_+t. 2 jam.

_a_. QSo25/1 Makematja. Paprl Kertas 1 Sernester II MATEMATIK BAHAGIAN MATRIKULASI KEMENTERIAN PELAJARAN MALAYSIA. ar,a6*ri_+t. 2 jam. QSo25/1 Makematja QSo2s/1 Matematik Paprl Kertas 1 Sernester II Semester II Session 2011'2012 Sesi 2011/2012 2 hours 2 jam I il _a_ ar,a6*ri_+t BAHAGIAN MATRIKULASI KEMENTERIAN PELAJARAN MALAYSIA It IATRICWIITON

More information

ADDITIONAL MATHEMATICS 4037/01

ADDITIONAL MATHEMATICS 4037/01 Cambridge O Level *0123456789* ADDITIONAL MATHEMATICS 4037/01 Paper 1 For examination from 2020 SPECIMEN PAPER 2 hours You must answer on the question paper. No additional materials are needed. INSTRUCTIONS

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge 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 information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *1406924476* ADDITIONAL MATHEMATICS 0606/21 Paper 2 May/June 2010 Additional

More information

C3 Revision Questions. (using questions from January 2006, January 2007, January 2008 and January 2009)

C3 Revision Questions. (using questions from January 2006, January 2007, January 2008 and January 2009) C3 Revision Questions (using questions from January 2006, January 2007, January 2008 and January 2009) 1 2 1. f(x) = 1 3 x 2 + 3, x 2. 2 ( x 2) (a) 2 x x 1 Show that f(x) =, x 2. 2 ( x 2) (4) (b) Show

More information

Preview from Notesale.co.uk Page 2 of 42

Preview 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 information

www.onlineexamhelp.com www.onlineexamhelp.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level * 1 0 2 2 9 5 6 0 3 3 * ADDITIONAL MATHEMATICS 4037/22 Paper

More information

Core Mathematics C12

Core Mathematics C12 Write your name here Surname Other names Pearson Edexcel International Advanced Level Centre Number Candidate Number Core Mathematics C12 Advanced Subsidiary Tuesday 10 January 2017 Morning Time: 2 hours

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge 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 information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *5331723388* ADDITIONAL MATHEMATICS 0606/12 Paper 1 February/March 2017 2 hours Candidates answer

More information

Time: 1 hour 30 minutes

Time: 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 information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *0835058084* ADDITIONAL MATHEMATICS 0606/11 Paper 1 October/November 2012 2 hours Candidates

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge International Examinations Cambridge Ordinary Level www.onlineexamhelp.com Cambridge International Examinations Cambridge Ordinary Level * 2 4 5 9 7 1 6 2 7 8 * ADDITIONAL MATHEMATICS 4037/21 Paper 2 May/June 2014 2 hours Candidates answer on the Question

More information

Mathematics, Algebra, and Geometry

Mathematics, Algebra, and Geometry Mathematics, Algebra, and Geometry by Satya http://www.thesatya.com/ Contents 1 Algebra 1 1.1 Logarithms............................................ 1. Complex numbers........................................

More information

9/ 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 information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge 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 information

www.onlineexamhelp.com www.onlineexamhelp.com * 031 674 651 3 * UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/22

More information

Edexcel GCE Core Mathematics C2 Advanced Subsidiary

Edexcel GCE Core Mathematics C2 Advanced Subsidiary Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Friday 24 May 2013 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical

More information

Edexcel GCE Core Mathematics C2 Advanced Subsidiary

Edexcel GCE Core Mathematics C2 Advanced Subsidiary Centre No. Candidate No. Paper Reference(s) 6664/01 Edexcel GCE Core Mathematics C2 Advanced Subsidiary Friday 24 May 2013 Morning Time: 1 hour 30 minutes Materials required for examination Mathematical

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge 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 information

BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN KEMENTERIAN PELAJARAN MALAYSIA

BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN KEMENTERIAN PELAJARAN MALAYSIA Name :.. Form :.. BAHAGIAN PENGURUSAN SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN KEMENTERIAN PELAJARAN MALAYSIA PEPERIKSAAN PERCUBAAN SPM / ADDITIONAL MATHEMATICS Kertas Ogos 0 jam Dua jam JANGAN

More information

MATEMATIK BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA. 2 ja,m M4TRICWTIONDIVNION PEPERIKSMN SEMESTER PROGMM MATRIKULASI. Semester I.

MATEMATIK BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA. 2 ja,m M4TRICWTIONDIVNION PEPERIKSMN SEMESTER PROGMM MATRIKULASI. Semester I. Mahematia Papr2 Semester I Session 201 3/2014 2 hours QS015,2 Matematik Kertas 2 Semester I Sesi 2013/2014 2 jam BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA M4TRICWTIONDIVNION MINNIRY OF EDUCANON

More information

Percubaan PMR 2010 Pahang MATEMATIK 50/1

Percubaan PMR 2010 Pahang MATEMATIK 50/1 Percubaan PMR 2010 Pahang MATEMATIK 50/1 1 Percubaan PMR 2010 Pahang MATEMATIK 50/1 2 Percubaan PMR 2010 Pahang MATEMATIK 50/1 3 Percubaan PMR 2010 Pahang MATEMATIK 50/1 4 Percubaan PMR 2010 Pahang MATEMATIK

More information

Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document

Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document Core A-level mathematics reproduced from the QCA s Subject criteria for Mathematics document Background knowledge: (a) The arithmetic of integers (including HCFs and LCMs), of fractions, and of real numbers.

More information

2. A die is rolled 3 times, the probability of getting a number larger than the previous number each time is

2. A die is rolled 3 times, the probability of getting a number larger than the previous number each time is . If P(A) = x, P = 2x, P(A B) = 2, P ( A B) = 2 3, then the value of x is (A) 5 8 5 36 6 36 36 2. A die is rolled 3 times, the probability of getting a number larger than the previous number each time

More information

2iam. 'e{fff,s" SHAMMIL. :!,: a:. I::f BAIIAGIAI{ MATRIKULASI KEMENTERIAN PELAJARAN MALAYSIA MATEMATIK. 2 jam -I: MATNCULATION DIVISION.

2iam. 'e{fff,s SHAMMIL. :!,: a:. I::f BAIIAGIAI{ MATRIKULASI KEMENTERIAN PELAJARAN MALAYSIA MATEMATIK. 2 jam -I: MATNCULATION DIVISION. r I 0s016/1 Mathematics Paper 1 Semester I Session 2010/201 I 2 hours QS()16/1 Matematik Kertas 1 Semester I Sesi 2010/2011 2iam I 4L :!,: a:. I::f 'e{fff,s" -I: BAIIAGIAI{ MATRIKULASI KEMENTERIAN PELAJARAN

More information

Formulas to remember

Formulas to remember Complex numbers Let z = x + iy be a complex number The conjugate z = x iy Formulas to remember The real part Re(z) = x = z+z The imaginary part Im(z) = y = z z i The norm z = zz = x + y The reciprocal

More information

International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS PAPER 2 MAY/JUNE SESSION 2002

International 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 information

Semester I Session 2013/2014 Sesi 2013/ hours 2iam BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA MATRICUATION DIVBION MATEMATIK.

Semester I Session 2013/2014 Sesi 2013/ hours 2iam BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA MATRICUATION DIVBION MATEMATIK. Mathemalix QS015/1 Matematik Paprl Kertas 1 Semester 1 Semester I Session 2013/2014 Sesi 2013/2014 2 hours 2iam BAHAGIAN MATRIKULASI KEMENTERIAN PENDIDIKAN MALAYSIA MATRICUATION DIVBION MINNIRY OF EDUCATION

More information

ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA

ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA GRADE 1 EXAMINATION NOVEMBER 017 ADVANCED PROGRAMME MATHEMATICS: PAPER I MODULE 1: CALCULUS AND ALGEBRA Time: hours 00 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists

More information

Section I 10 marks (pages 2 5) Attempt Questions 1 10 Allow about 15 minutes for this section

Section 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 information

Core Mathematics 2 Unit C2 AS

Core Mathematics 2 Unit C2 AS Core Mathematics 2 Unit C2 AS compulsory unit for GCE AS and GCE Mathematics, GCE AS and GCE Pure Mathematics C2.1 Unit description Algebra and functions; coordinate geometry in the (, y) plane; sequences

More information

DEPARTMENT OF MATHEMATICS

DEPARTMENT 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 information

MATHEMATICS. 24 July Section 1 10 marks (pages 3-7) Attempt Questions 1 10 Allow about 15 minutes for this section

MATHEMATICS. 24 July Section 1 10 marks (pages 3-7) Attempt Questions 1 10 Allow about 15 minutes for this section MATHEMATICS 24 July 2017 General Instructions Reading time 5 minutes Working time 3 hours Write using black pen. NESA approved calculators may be used. Commence each new question in a new booklet. Write

More information

DEPARTMENT OF MATHEMATICS

DEPARTMENT OF MATHEMATICS DEPARTMENT OF MATHEMATICS AS level Mathematics Core mathematics 1 C1 2015-2016 Name: Page C1 workbook contents Indices and Surds Simultaneous equations Quadratics Inequalities Graphs Arithmetic series

More information

a Write down the coordinates of the point on the curve where t = 2. b Find the value of t at the point on the curve with coordinates ( 5 4, 8).

a Write down the coordinates of the point on the curve where t = 2. b Find the value of t at the point on the curve with coordinates ( 5 4, 8). Worksheet A 1 A curve is given by the parametric equations x = t + 1, y = 4 t. a Write down the coordinates of the point on the curve where t =. b Find the value of t at the point on the curve with coordinates

More information

Paper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes

Paper Reference. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical

More information

Paper Reference. Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes. Mathematical Formulae (Green)

Paper Reference. Core Mathematics C3 Advanced Level. Thursday 18 January 2007 Afternoon Time: 1 hour 30 minutes. Mathematical Formulae (Green) Centre No. Candidate No. Paper Reference(s) 6665/01 Edexcel GCE Core Mathematics C3 Advanced Level Thursday 18 January 007 Afternoon Time: 1 hour 30 minutes Materials required for examination Mathematical

More information

YEAR 12 - Mathematics Pure (C1) Term 1 plan

YEAR 12 - Mathematics Pure (C1) Term 1 plan Week YEAR 12 - Mathematics Pure (C1) Term 1 plan 2016-2017 1-2 Algebra Laws of indices for all rational exponents. Use and manipulation of surds. Quadratic functions and their graphs. The discriminant

More information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge 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 information

SMKDarulaman j*k

SMKDarulaman 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 information

Cambridge International Examinations Cambridge Ordinary Level

Cambridge International Examinations Cambridge Ordinary Level Cambridge International Examinations Cambridge Ordinary Level * 9 4 5 1 6 2 0 9 2 4 * ADDITIONAL MATHEMATICS 4037/12 Paper 1 October/November 2015 2 hours Candidates answer on the Question Paper. No Additional

More information

SULIT /2 3472/2 Matematik Tambahan Kertas 2 2 ½ jam 2010 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING

SULIT /2 3472/2 Matematik Tambahan Kertas 2 2 ½ jam 2010 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING SULIT / / Mtemtik Tmhn Kerts ½ jm 00 SEKOLAH-SEKOLAH MENENGAH ZON A KUCHING PEPERIKSAAN PERCUBAAN SIJIL PELAJARAN MALAYSIA 00 MATEMATIK TAMBAHAN Kerts Du jm tig puluh minit JANGAN BUKA KERTAS SOALAN INI

More information

International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS PAPER 1 MAY/JUNE SESSION 2002

International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS PAPER 1 MAY/JUNE SESSION 2002 International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL EXAMINATIONS ADDITIONAL MATHEMATICS 0606/1 PAPER 1 MAY/JUNE SESSION 2002 2 hours Additional materials: Answer paper Electronic

More information

Things You Should Know Coming Into Calc I

Things You Should Know Coming Into Calc I Things You Should Know Coming Into Calc I Algebraic Rules, Properties, Formulas, Ideas and Processes: 1) Rules and Properties of Exponents. Let x and y be positive real numbers, let a and b represent real

More information

CO-ORDINATE GEOMETRY

CO-ORDINATE GEOMETRY CO-ORDINATE GEOMETRY 1 To change from Cartesian coordinates to polar coordinates, for X write r cos θ and for y write r sin θ. 2 To change from polar coordinates to cartesian coordinates, for r 2 write

More information

Lone Star College-CyFair Formula Sheet

Lone Star College-CyFair Formula Sheet Lone Star College-CyFair Formula Sheet The following formulas are critical for success in the indicated course. Student CANNOT bring these formulas on a formula sheet or card to tests and instructors MUST

More information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education www.xtremepapers.com UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education *7560400886* ADDITIONAL MATHEMATICS 0606/22 Paper 2 May/June 2011 2 hours

More information

Mathematics syllabus for Grade 11 and 12 For Bilingual Schools in the Sultanate of Oman

Mathematics syllabus for Grade 11 and 12 For Bilingual Schools in the Sultanate of Oman 03 04 Mathematics syllabus for Grade and For Bilingual Schools in the Sultanate of Oman Prepared By: A Stevens (Qurum Private School) M Katira (Qurum Private School) M Hawthorn (Al Sahwa Schools) In Conjunction

More information

IYGB. Special Paper U. Time: 3 hours 30 minutes. Created by T. Madas. Created by T. Madas

IYGB. Special Paper U. Time: 3 hours 30 minutes. Created by T. Madas. Created by T. Madas IYGB Special Paper U Time: 3 hours 30 minutes Candidates may NOT use any calculator Information for Candidates This practice paper follows the Advanced Level Mathematics Core Syllabus Booklets of Mathematical

More information

PLC Papers. Created For:

PLC Papers. Created For: PLC Papers Created For: Algebra and proof 2 Grade 8 Objective: Use algebra to construct proofs Question 1 a) If n is a positive integer explain why the expression 2n + 1 is always an odd number. b) Use

More information

Cambridge International Examinations Cambridge International General Certificate of Secondary Education

Cambridge International Examinations Cambridge International General Certificate of Secondary Education Cambridge International Examinations Cambridge International General Certificate of Secondary Education *41476759* ADDITIONAL MATHEMATICS 0606/ Paper February/March 017 hours Candidates answer on the Question

More information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY F CAMBRIDGE INTERNATINAL EXAMINATINS General Certificate of Education rdinar Level * 7 9 6 4 3 4 6 8 3 2 * ADDITINAL MATHEMATICS 4037/22 Paper 2 Ma/June 2013 2 hours Candidates answer on the

More information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Level

UNIVERSITY 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 information

Week beginning Videos Page

Week beginning Videos Page 1 M Week beginning Videos Page June/July C3 Algebraic Fractions 3 June/July C3 Algebraic Division 4 June/July C3 Reciprocal Trig Functions 5 June/July C3 Pythagorean Identities 6 June/July C3 Trig Consolidation

More information

H I G H E R S T I L L. Extended Unit Tests Higher Still Higher Mathematics. (more demanding tests covering all levels)

H I G H E R S T I L L. Extended Unit Tests Higher Still Higher Mathematics. (more demanding tests covering all levels) M A T H E M A T I C S H I G H E R S T I L L Higher Still Higher Mathematics Extended Unit Tests 00-0 (more demanding tests covering all levels) Contents Unit Tests (at levels A, B and C) Detailed marking

More information

(c) n (d) n 2. (a) (b) (c) (d) (a) Null set (b) {P} (c) {P, Q, R} (d) {Q, R} (a) 2k (b) 7 (c) 2 (d) K (a) 1 (b) 3 (c) 3xyz (d) 27xyz

(c) n (d) n 2. (a) (b) (c) (d) (a) Null set (b) {P} (c) {P, Q, R} (d) {Q, R} (a) 2k (b) 7 (c) 2 (d) K (a) 1 (b) 3 (c) 3xyz (d) 27xyz 318 NDA Mathematics Practice Set 1. (1001)2 (101)2 (110)2 (100)2 2. z 1/z 2z z/2 3. The multiplication of the number (10101)2 by (1101)2 yields which one of the following? (100011001)2 (100010001)2 (110010011)2

More information

( ) 2 + ( 2 x ) 12 = 0, and explain why there is only one

( ) 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 information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/01

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/01 UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education ADDITIONAL MATHEMATICS 0606/01 Paper 1 Additional Materials: Answer Booklet/Paper Electronic

More information

Chapter 1. Functions 1.3. Trigonometric Functions

Chapter 1. Functions 1.3. Trigonometric Functions 1.3 Trigonometric Functions 1 Chapter 1. Functions 1.3. Trigonometric Functions Definition. The number of radians in the central angle A CB within a circle of radius r is defined as the number of radius

More information

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit

More information

MockTime.com. (b) (c) (d)

MockTime.com. (b) (c) (d) 373 NDA Mathematics Practice Set 1. If A, B and C are any three arbitrary events then which one of the following expressions shows that both A and B occur but not C? 2. Which one of the following is an

More information

C3 Exam Workshop 2. Workbook. 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2

C3 Exam Workshop 2. Workbook. 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2 C3 Exam Workshop 2 Workbook 1. (a) Express 7 cos x 24 sin x in the form R cos (x + α) where R > 0 and 0 < α < 2 π. Give the value of α to 3 decimal places. (b) Hence write down the minimum value of 7 cos

More information

Name :.. Form :.. PERSIDANGAN KEBANGSAAN PENGETUA-PENGETUA SEKOLAH MENENGAH NEGERI KEDAH DARUL AMAN PEPERIKSAAN PERCUBAAN SPM 00 / ADDITIONAL MATHEMATICS Kertas September 00 jam Dua jam JANGAN BUKA KERTAS

More information

AQA Level 2 Certificate in FURTHER MATHEMATICS (8365/2)

AQA Level 2 Certificate in FURTHER MATHEMATICS (8365/2) SPECIMEN MATERIAL AQA Level 2 Certificate in FURTHER MATHEMATICS (8365/2) Paper 2 Specimen 2020 Time allowed: 1 hour 45 minutes Materials For this paper you must have: mathematical instruments You may

More information