FFMS 2024 Sec 4 Add Math (4049) Prelim Paper 1_Final

NAME: ____________________________ ( ) CLASS: _______ FAIRFIELD METHODIST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2024 SECONDARY 4 EXPRESS ADDITIONAL MATHEMATICS 4049/01 Paper 1 Date: 21 August 2024 Duration: 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, index number and class on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. The number of marks is given in brackets [ ] at the end of each question or part question. If working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. The total of the marks for this paper is 90. The use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy is not specified in the question and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142. For Examiner’s Use Table of Penalties Question Number Presentation  1  2 Rounding off  1 Parent’s/Guardian’s Signature Setters: Mrs Lim CC and Ms Thio LH This question paper consists of 22 printed pages  90

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express Preliminary Examination 2024 2 Additional Mathematics Paper 1 Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation 02 =++ cbxax , a acbbx 2 42 −−= Binomial expansion ( ) nrrnnnnn bbar nbanbanaba ++     ++     +     +=+ −−− ......21 221 , where n is a positive integer and ! )1)...(1( )!(! ! r rnnn rnr n r n +−−=−=      2. TRIGONOMETRY Identities 1cossin 22 =+ AA AA 22 tan1sec += cosec 2 A = 1 + cot 2 A BABABA sincoscossin)sin( = tan tantan( ) 1 tan tan ABAB AB += − sin 2 2sin cosA A A= 2 2 2 2cos 2 cos sin 2cos 1 1 2sinA A A A A= − = − = − A AA 2tan1 tan22tan −= Formulae for ABC sin sin sin a b c A B C== Abccba cos2222 −+= cos( ) cos cos sin sinA B A B A B= 1 sin2 ab C=

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express Preliminary Examination 2024 3 Additional Mathematics Paper 1 Answer all the questions. 1 (i) Express 24 8 5xx+− in the form 2()p x q r++ , where p , q and r are constants to be found. [3] (ii) Hence, state the coordinates of the turning point of the curve 24 8 5y x x= + − .