YTSS A Math 2024 Prelim P1 MS

NAME: Solution ( ) CLASS: YISHUN TOWN SECONDARY SCHOOL PRELIMINARY EXAMINATION 2024 SECONDARY 4 EXPRESS / 5 NORMAL ACADEMIC ADDITIONAL MATHEMATICS PAPER 1 (4049/01) DATE : 21 August 2024 DAY : Wednesday DURATION : 2 h 15 min MARKS : 90 READ THESE INSTRUCTIONS FIRST Do not turn over the cover page until you are told to do so. Write your name, class and class index number in the spaces at the top of this page. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. Answer all the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. The number of marks is given in brackets [ ] at the end of each question or part question. The total marks for this paper is 90. MARKS OBTAINED FULL 1 4 2 4 3 5 4 6 5 6 6 6 7 8 8 7 9 8 10 9 11 10 12 8 13 9 TOTAL 90 This question paper consists of 21 printed pages and 1 blank page. O

2 2024 YTSS Preliminary Examination Secondary 4E5N Additional Mathematics EXP (4049/01) Mathematical Formulae 1. ALGEBRA Quadratic Equation For the equation , Binomial Expansion where is a positive integer and 2. TRIGONOMETRY Identities Formulae for 02 =++ cbxax a acbbx 2 42 −−= ( ) nrrnnnnn b...bar n...banbanaba ++     ++     +     +=+ −−− 221 21 n ( ) ( ) ( ) ! 1...1 ! ! ! r rnnn rnr n r n +−−=−=      AA AA AA 22 22 22 cot1eccos tan1sec 1cossin += += =+ ( ) ( ) ( ) A AA AAAAA AAA BA BABA BABABA BABABA 2 2222 tan1 tan22tan sin211cos2sincos2cos cossin22sin tantan1 tantantan sinsincoscoscos sincoscossinsin − = −=−=−= = = = =   ABC Cab Abccba C c B b A a sin2 1 cos2 sinsinsin 222 = −+= ==

3 2024 YTSS Preliminary Examination Secondary 4E5N Additional Mathematics EXP (4049/01) [Turn over Answer all questions. 1 (a) Write down the turning point of the curve 2 1yx=− + , stating clearly whether it is a maximum or minimum point. [2] (b) In a clearly labelled diagram, s ketch the graph of 2 1yx=− + , indicating clearly the coordinates of the turning point and axial intercepts. [2] Maximum point (0, 1) B1 maximum B1 (0, 1) x O y (0, 1) 1 B1 shape of graph B1 label

4 2024 YTSS Preliminary Examination Secondary 4E5N Additional Mathematics EXP (4049/01) 2 A cylinder has radius (2 2)− cm an