E-Math - Sec 4NA - Prelims Exam Paper - 2024 - Crest Sec

CREST SECONDARY SCHOOL SECONDARY FOUR PRELIMINARY EXAMINATION NA Name: ( ) Class: MATHEMATICS (SYLLABUS A) Paper 1 Candidates answer on the Question Paper. 4045/01 Wednesday 14 August 2024 2 hours READ THESE INSTRUCTIONS FIRST Write your class, index number and name 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 in the space below the question. Omission of essential working will result in loss of marks. The total number of marks for this paper is 70. 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. This document consists of 15 printed pages and 1 blank page. Setter: Ms Liew Jia Meng [Turn over For Examiner’s use 70

2 Mathematical Formulae Compound Interest Total amount = nrP      + 1001 Measurement Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = 21 3 rh Volume of a sphere = 34 3 r Area of triangle ABC = Cabsin2 1 Arc length r= , where  is in radians Sector area = 21 2 r  , where  is in radians Trigonometry sin sin sin a b c A B C== 2 2 2 2 cosa b c bc A= + − Statistic Mean = fx f   Standard deviation = 22f x f x ff  −  

3 Answer all questions. 1 Write 0.002195 (a) correct to 3 significant figures, Answer ……….………………… [1] (b) in standard form. Answer ……….………………… [1] 2 Given that 52 32 2 x= , find x. Answer x = ….………………… [2] 3 Find the largest integer y satisfying 3 15y− . Answer y = ….………………… [2] [Turn over

4 4 The diagram shows the sketch of 2y ax bx c= + + . (a) State the value of a. Answer a = ….………………… [1] (b) Write down the equation of the line of symmetry. Answer ……….………………… [1] 5 In a sale, the price of a 10 kg sack of rice is reduced from $35.90 to $29.90. Calculate the percentage decrease. Answer ……….……………… % [2] 6 Find the length of the straight line joining (0, 6) and (4, – 2). Answer ……….………… units [2] y x O – 0.5 1

5 7 (a) Express 3780 i