Greenridge Sec 2024 4NA MA Prelims P1-vetted

[Turn over This paper consists of 14 printed pages, including this cover page. GREENRIDGE SECONDARY SCHOOL 2024 PRELIMINARY EXAMINATION SECONDARY 4 NORMAL (ACADEMIC) CANDIDATE NAME CLASS - INDEX NUMBER MATHEMATICS SYLLABUS A 4045/01 Paper 1 5 August 2024 Setter: Mrs Goh-Kok Mei Leng 2 hours Candidates answer on the Question Paper. Additional Materials: Nil 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 with the answer. Omission of essential working will result in loss of marks. The total of the 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. For Examiner’s Use Total 70

2 Mathematical Formulae Compound interest Total amount = n rP       1001 Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 24πr Volume of a cone = 21 π3 rh Volume of a sphere = 34 π3 r Area of triangle ABC = Cab sin2 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 [Turn over Answer all the questions. 1 It is given that 78.9 24.05 7.85 m  . (a) Without the use of a calculator, estimate the value of m. Show your working clearly. Answer …………...………………… [1] (b) Use your calculator to find the value of m, leaving your answer to 2 decimal places. Answer …………...………………… [1] 2 The weight of a golf ball is 0.0459368 kg. (a) Write this weight correct to 3 significant figures. Answer …………...………………… [1] (b) Write your answer in part (a) in standard form. Answer …………...………………… [1] 3 Find the least integer value of x satisfying 5 21x .

4 Answer …………...………………… [2] 4 3, 8, 13, 18, 23, … (a) Find an algebraic expression for the nth term in the sequence. Answer …………...………………… [1] (b) Show that 403 is a term in the sequence. Answer [2] 5 (a) Find the obtuse angle of A such that sin 0.8667A . Answer A = ……...…………..…….. [1]