MATHEMATICS INTRODUCTION The public assessmet of this subject is based o the Curriculum ad Assessmet Guide (Secodary 4 6) Mathematics joitly prepared by the Curriculum Developmet Coucil ad the Hog Kog Examiatios ad Assessmet Authority. Cadidates have to refer to the Guide for the kowledge, uderstadig, skills ad attitudes they are required to demostrate i the assessmet. The curriculum comprises a Compulsory Part ad a Exteded Part. Cadidates takig the HKDSE Mathematics Examiatio may choose to take either the Compulsory Part oly or the Compulsory Part plus oe of the two modules of the Exteded Part. ASSESSMENT OBJECTIVES The assessmet objectives of the Compulsory Part are to test the cadidates : 1. kowledge of the mathematical facts, cocepts, skills ad priciples preseted i the Curriculum ad Assessmet Guide;. familiarity with ad use of mathematical symbols; 3. ability to use appropriate mathematical techiques for solvig a variety of problems; ad 4. ability to commuicate ideas ad to preset argumets mathematically. The assessmet objectives of Module 1 (Calculus ad Statistics) of the Exteded Part are to test the cadidates : 1. uderstadig of the cocepts, priciples ad methods i Calculus ad Statistics preseted i the Curriculum ad Assessmet Guide; ad. ability to apply appropriate techiques i Calculus ad Statistics for solvig a variety of problems. The assessmet objectives of Module (Algebra ad Calculus) of the Exteded Part are to test the cadidates : 1. uderstadig of the cocepts, priciples ad methods i Algebra ad Calculus preseted i the Curriculum ad Assessmet Guide; ad. ability to apply appropriate techiques i Algebra ad Calculus for solvig a variety of problems. 018-HKDSE-MATH 1
MODE OF ASSESSMENT The mode of public assessmet i the Compulsory Part is show below: Compoet Weightig Duratio Public Examiatio Paper 1 Paper Covetioal questios Multiple-choice questios 65% 35% ¼ hours 1¼ hours The mode of public assessmet i Module 1 (Calculus ad Statistics) is show below: Compoet Weightig Duratio Public Examiatio Covetioal questios 100% ½ hours The mode of public assessmet i Module (Algebra ad Calculus) is show below: Compoet Weightig Duratio Public Examiatio Covetioal questios 100% ½ hours PUBLIC EXAMINATION Compulsory Part The examiatio will cosist of two papers: 1 Paper 1 ( hours) (65%) 4 This paper will cosist of two sectios i which all the questios are to be attempted. Sectio A will cosist of questios o the Foudatio Topics of the Compulsory Part together with the Foudatio Part of the Secodary 1-3 Mathematics Curriculum. Sectio B will cosist of questios o the Compulsory Part together with the Foudatio Part ad the No-Foudatio Part of the Secodary 1-3 Mathematics Curriculum. Sectio A will further be divided ito two parts. Sectio A(1) (35 marks) will cosist of 8 to 11 elemetary questios. Sectio A() (35 marks) will cosist of 4 to 7 harder questios. Sectio B (35 marks) will cosist of 4 to 7 questios. 018-HKDSE-MATH
1 Paper ( 1 hours) (35%) 4 This paper will cosist of two sectios i which all the questios are to be attempted. Sectio A ( 3 of the paper mark) will cosist of questios o the Foudatio Topics of the Compulsory Part together with the Foudatio Part of the Secodary 1-3 Mathematics Curriculum. Sectio B ( 1 3 of the paper mark) will cosist of questios o the Compulsory Part together with the Foudatio Part ad the No-Foudatio Part of the Secodary 1-3 Mathematics Curriculum. All questios i the paper will be multiple-choice questios. Notes: 1. Cadidates are ot expected to perform legthy maipulatios.. I calculatios cadidates are expected to give aswers to appropriate degrees of accuracy. 3. Electroic calculators ad mathematical drawig istrumets may be used i the examiatio. 4. SI ad metric uits will be used i the examiatio wherever appropriate. 5. Cadidates should ote the commo otatios to be used i mathematics examiatio papers. Module 1 (Calculus ad Statistics) 1 The examiatio will cosist of oe paper of hours duratio. The paper will be divided ito two sectios i which all the questios are to be attempted. Sectio A (50 marks) will cosist of 8-1 short questios. Sectio B (50 marks) will cosist of 3-5 log questios. Notes: 1. Kowledge of the subject matter i the Compulsory Part together with the Foudatio Part ad the No-Foudatio Part of Secodary 1-3 Mathematics Curriculum is assumed.. I calculatios cadidates are expected to give aswers to appropriate degrees of accuracy. 3. Electroic calculators ad mathematical drawig istrumets may be used i the examiatio. 4. Statistical tables will be prited i the questio paper where appropriate. 5. SI ad metric uits will be used i the examiatio wherever appropriate. 6. Cadidates should ote the commo otatios to be used i mathematics examiatio papers. 018-HKDSE-MATH 3
Module (Algebra ad Calculus) 1 The examiatio will cosist of oe paper of hours duratio. The paper will be divided ito two sectios i which all the questios are to be attempted. Sectio A (50 marks) will cosist of 8-1 short questios. Sectio B (50 marks) will cosist of 3-5 log questios. Notes: 1. Kowledge of the subject matter i the Compulsory Part together with the Foudatio Part ad the No-Foudatio Part of Secodary 1-3 Mathematics Curriculum is assumed.. Electroic calculators ad mathematical drawig istrumets may be used i the examiatio. 3. Trigoometric formulas will be provided for cadidates referece i the questio paper. 4. SI ad metric uits will be used i the examiatio wherever appropriate. 5. Cadidates should ote the commo otatios to be used i mathematics examiatio papers. 018-HKDSE-MATH 4
The Commo Notatios to be Used i the Hog Kog Diploma of Secodary Educatio Mathematics Examiatio Papers (A asterisk below idicates that the symbol could be used without further defiitio for the papers cocered.) Compulsory Part Module 1 Module a A a is a elemet of the set A ( A ) the empty set the umber of elemets i a fiite set A N the set of atural umbers {1,, } Z the set of itegers Q the set of ratioal umbers R the set of real umbers R the -dimesioal rectagular coordiate system A B A is a subset of B uio itersectio 3 R A the 3-dimesioal rectagular coordiate system the complemet of the set A i a give uiversal set B \ A the complemet of the set A i B [ b a, ] the closed iterval { x R : a x b} ( b a, ) the ope iterval { x R : a x b} f : A B f is a fuctio from the domai A to the rage B k 1 k 1 P r a k a k the sum of umbers a 1, a,, a the product of umbers a 1, a,, a the umber of permutatios of r objects take from objects C r the biomial coefficiet, the umber of combiatios of r objects take from objects x e, exp(x) the expoetial fuctio with base e l x the logarithmic fuctio to base e H.C.F. the highest commo factor L.C.M. the least commo multiple 018-HKDSE-MATH 5
Compulsory Part Module 1 Module 1 M the iverse of the matrix M T M the traspose of the matrix M det M, M the determiat of the square matrix M AB a the vector represeted i magitude ad directio by the directed lie segmet AB the vector a â a uit vector i the directio of a i, j, k a the magitude of a uit vectors i the directios of the Cartesia coordiate axes a b the scalar product of a ad b a b the vector product of a ad b f ( x), f ( x) the first derivative ad the secod derivative of f ( x ) with respect to x x, x P ( A ) P ( A B) the first derivative ad the secod derivative of x with respect to t probability of the evet A probability of the evet A coditioal o the evet B E( X ) expectatio of the radom variable X Var ( X ) variace of the radom variable X populatio mea populatio variace x sample mea 1 s sample variace, s ( x x) 1 B(, p) biomial distributio with parameters ad p N(, ) ormal distributio with mea ad variace Po( ) Poisso distributio with mea 018-HKDSE-MATH 6