2022 FMSS Prelim P1

NAME: ____________________________ ( ) CLASS: _______ FAIRFIELD METHODIST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2022 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) MATHEMATICS 4048/01 Paper 1 Date: 23 August 2022 Duration: 2 hours 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 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, 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 80. For Examiner’s Use Table of Penalties Question Number 80 Presentation € 1 € 2 Parent’s / Guardian’s Signature Rounding off € 1

Name: _________________________ ( ) Class: ______________________ FMS(S) Sec 4 N(A) Preliminary Examination 2009 2 Mathematics Paper 1 Setters: Mr Alester Tan This question paper consists of 20 printed pages.

Name: __________________________________ ( ) Class: __________ FMS(S) Sec 4 Exp/Sec 5 N(A) Preliminary Examination 2022 3 Mathematics Paper 1 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 =

Name: __________________________________ ( ) Class: __________ FMS(S) Sec 4 Exp/Sec 5 N(A) Preliminary Examination 2022 4 Mathematics Paper 1 Answer all the questions. 1 Vivien invested $2500 in a bank at a simple interest rate of 3% per annum. The total value of the investment in the bank after a few years is $2912.50. Calculate the number of years in which she has invested in the bank. Answer ……………………………years [2] ____________________________________________________________________________ 2 In the triangle, PR = 19.5 cm, RQ = 12.2 cm and angle PRQ = 90o. Calculate PQ. Answer PQ = ….……………………cm [2] ____________________________________________________________________________ 3 A train