Beatty Sec EM_4E5N_P2 2020_QP

1 SUBJECT : Mathematics LEVEL : Sec 4E/5N PAPER : 4048 / 2 DURATION : 2 hour 30 minutes SETTER : Mr Lai Chee Kit Mrs Samsol DATE : 26 August 2020 CLASS : NAME : REG NO : READ THESE INSTRUCTIONS FIRST Write your name, class and index number in the spaces on 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 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 number of marks for this paper is 100. ____________________________________________________________________________ This paper consists of 26 printed pages (including this cover page) BEATTY SECONDARY SCHOOL PRELIMINARY EXAMINATION 2020 O For Examiner’s Use 100 [Turn over

2 Mathematical Formulae Compound Interest Total amount = nrP )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 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

3 1 (a) It is given that ( ) 221 2A h a b=− . (i) Evaluate A when 4a= , 2.5b= and 6h= . Answer A = …………………… [1] (ii) Express b in terms of A, a and h. Answer b = ……………………. [2] (b) Express as a single fraction in its simplest form 2 72 4 4 1 2 1x x x −− + − . Answer ………………………… [3] [Turn over

4 (c) (i) Solve the inequality 5 4 4 72 xx−+  . Answer ………………………... [2] (ii) State the greatest integer value of x which satisfies 5 4 4 72 xx−+  . Answer x = ………….................. [1] (d) Solve the equation 72 25 xx x+ += . Answer x = ……………………