2023 ZHSS EMATH P1 PRELIM QP

[Turn over] ZHONGHUA SECONDARY SCHOOL PRELIMINARY EXAMINATION 2023 SECONDARY 4 EXPRESS / 4 NORMAL (ACADEMIC) SBB Candidate’s Name Class Register Number MATHEMATICS 4052/01 PAPER 1 25 August 2023 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. Do not use 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 π, use either your calculator value or 3.142, unless the question requires the answer in terms of π. 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 90. Setter：Mr GOH CP Vetter: Mr Francis Tan This question paper consists of 22 printed pages (including this cover page) 90

2 [Turn over] Mathematical Formulae Compound interest Total amount = Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry Statistics Mean = Standard deviation = n rP      + 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 == Acbcba cos))((2222 −+=   f fx 22       −     f fx f fx

3 [Turn over] Answer all the questions 1 Calculate 3 47 6.5 7.712.3 8.8 −− , give your answer correct to 5 significant figures. Answer ……………………..…………… [1] 2 Simplify (a) 53 4 .63 aa Answer ……………………..…………… [1] (b) 4 – 2(1 – 5x). Answer ……………………..…………… [1] 3 28 27.5 27.9 32.1 51.1 20.6 31.6 18.7 (a) Find the median of the set of numbers. Answer ……………………… [1] (b) Find the range for the set of numbers. Answer ……………………… [1]

4 [Turn over] 4 The first four diagrams in a sequence are shown below. Diagram 1 Diagram 2 Diagram 3 Diagram 4 5 dots 9 dots 13 dots 17 dots (a) Find the number of dots in Diagram 9. Answer ……………………… [1] (b) Find an expression, in terms of n, for the number of dots in Diagram n. Answer ……………………… [1] (c)