[FMS] [2023] 4E EM 4052 Prelims P2_QP

NAME: ____________________________ ( ) CLASS: _______ MATHEMATICS 4052/02 Paper 2 Date: 23 August 2023 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 number of 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 que stion, 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 90 Presentation  1  2 Rounding Off  1 Parent’s/Guardian’s Signature Setter: Mr James Quek This question paper consists of 23 printed pages. FAIRFIELD METHODIST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2023 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC)

Name: __________________________________ ( ) Class: __________ FMS(S) Sec 4Exp / 5N(A) Preliminary Examination 2023 2 Mathematics Paper 2 Mathematical Formulae Compound interest Total amount = P n r      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of a triangle ABC = Cabsin2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics Mean =   f fx Standard deviation = 22       −     f fx f fx

Name: __________________________________ ( ) Class: __________ FMS(S) Sec 4Exp / 5N(A) Preliminary Examination 2023 3 Mathematics Paper 2 Answer all the questions. 1 (a) (i) Find p when . Answer p = …………...….…………….. [1] (ii) Rearrange the formula to make f the subject. Answer f = …………...….…………….. [2] (b) Write as a single fraction in its simplest form . Answer …………...….………………… [2]

Name: __________________________________ ( ) Class: __________ FMS(S) Sec 4Exp / 5N(A) Preliminary Examination 2023 4 Mathematics Paper 2 1 (c) Solve these simultaneous equations. You must show your working. Answer x =