AHS 2025 S4 AM Prelin P1 MS

1 © Anglican High School 2025 4049/01/Prelim/25 [Turn over NAME: _______________________________ ( ) CLASS: 4 ( ) 9o ADDITIONAL MATHEMATICS 4049/01 Paper 1 Marking Scheme READ THESE INSTRUCTIONS FIRST Write your name, index number and class in the spaces at the top of this page. 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. 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. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 90. ----------------------------------------------------------------------------------------------------------------------------------- For Examiners’ Use Question Marks Question Marks 1 8 2 9 Units 3 10 Clarity / Logic 4 11 Precision / Accuracy 5 12 Total: 6 13 90 7 14 Parent’s Name & Signature: Date: S4 ANGLICAN HIGH SCHOOL SECONDARY FOUR PRELIMINARY EXAMINATIONS 2025

© Anglican High School 2025 4049/01/Prelim/25 NOTE: If the marks allocation is italicised, it has been modified from version 2 according to the suggestions given by the tester. 1 (a) Find the range of values of p for which lies entirely above the line.[4] Þ discriminant < 0 M1 M1 for discriminant < 0 M1 A1 (b) Hence, deduce, without finding the discriminant, the number of intersection points when p = 3. [1] Line does not intersect curve when p is in the range . For p = 3, line intersects curve at 2 points. B1 2 (a) By using substitution or otherwise, find the values of x for which , giving your answer where appropriate, to one decimal place. [5] M1 applying Laws of Indices to break them into product of two numbers M1 for getting quadratic equation M1 for using lg to solve. A2 for both answers ! !!" "=! ! !" #!" #=+ ! ! !! "# $ ! ! % !! " !" !" ! " !!= + +!! ! ! = ( ) !" #$!$%"% #"!# #&&'! #$''$%!%(! ' ' ' !<<!" <++" <++" <++++" <!!!!!" ! !! !! !!! !! !"#+= !"# !"!#$# !+= !!" !" !<<! ! !" #!! ! $!!!+=! () () ( )( ) !" # ! # ! # ! ! ! ! ! ! !$ "! ! ! !$! %&'( ! " ! !$! " ) !$! "* $) "* $) + "! $ + "!(((((,-((((( $ ! "!(((((,-(((((! $ .L ! .L"!(((((,-(((((! ! .L"!(((((,-((((( !.L ! #01)$2* #0* !! !! ! !! !! " "" "" "" "" "" "" !! ! ! !+=! ="! = =" ! =! =! !+ = !!