2022 FMSS Prelim P2

NAME: ____________________________ ( ) CLASS: _______ MATHEMATICS 4048/02 Paper 2 Date: 24 August 2022 Duration: 2 hours 30 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 questions. 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 use of an approved scientific calculator is expected, where appropriate. If the degree of accuracy i s 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, unless the question requires the answer in terms of . The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 100. For Examiner’s Use Table of Penalties Question Number 100 Presentation  1  2 Parent’s / Guardian’s Signature Rounding off  1 Setter: Mr Joel Li This question paper consists of 27 printed pages.   FAIRFIELD METHODIST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2022 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC)

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2022 2 Mathematics Paper 2 Mathematical Formulae Compound interest Total amount = P Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of a triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry Statistics Mean = Standard deviation = n r      + 1001 rl 24 r hr 2 3 1 3 3 4 r Cabsin2 1 r  2 2 1 r  C c B b A a sinsinsin == Abccba cos2222 −+=   f fx 22       −     f fx f fx

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2022 3 Mathematics Paper 2 Answer all the questions. 1 (a) Solve the inequality 3232 xx −+ . Answer ……………………………………… [2] (b) It is given that WE Wx= + . (i) Find the value of E when W = 30 and x = 18. Answer E = ………………………………… [1] (ii) Express W in terms of E and x. Answer W = ………………………………… [2]

NAME: ____________________________ ( ) CLASS: _______ FMS(S) Sec 4 Express / 5 Normal (Academic) Preliminary Examination 2022 4 Mathematics Paper 2 1 (c) Solve the equation 31 512xx =−+− . Give your solutions cor