Beatty Sec EM_4E5N_P1_2020_QP

1 SUBJECT : Mathematics LEVEL : Sec 4E/5N/4N PAPER : 4048/1 DURATION : 2 hours SETTER : Mr Lee Chau Loong DATE : 24 August 2020 CLASS : NAME : REG NO : 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 a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, 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. You are expected to use a scientific calculator to evaluate explicit numerical expressions. 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 80. _____________________________________________________________________________ This paper consists of 16 printed pages (including this cover page) [Turn over BEATTY SECONDARY SCHOOL PRELIMINARY EXAMINATION 2020 For Examiner’s Use 80 [Turn over O

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 Answer all the questions. 1 Solve the pair of simultaneous equations 2 3 4xy+= 42xy+ =− Answer x = ……………………… y = …………….……….. [3] 2 Solve the equation ( )3 2 1 8x x x− = − . Answer x = …………. or ………….. [2] 3 In a regular n-sided polygon, one interior angle : one exterior angle = 5 : 1. Find the value of n. Answer n = ………………. [2] [Turn over

4 4 (a) What is misleading with the survey collected below? Explain your answer. Answer : ……………………………………………….………...…………………… ………………………………………………………………………………………..... [1] (b) What is misleading with the graph shown below? Explain your answer. Answer : ……………………………………………….………...……………………