PLMGS 4E_5NA Math P2 Prelim 2017_FINAL

Name: ___________________________ ( ) Class: _______ Centre Number S Index Number MATHEMATICS 4048/02 Paper 2 21 August 2017 Additional Materials: Answer Paper (10 sheets) 2 hours 30 minutes Graph Paper (1 sheet) READ THESE INSTRUCTIONS FIRST Write your Centre number, index number, name and class on all the work you hand in. Write in dark blue or black pen on both sides of the paper. You may use a 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 a 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 . At the end of the examination, fasten all your work securely together. 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 13 pages, including this cover page. Paya Lebar Methodist Girls’ School (Secondary) Preliminary Examination 2017 Secondary 4 Express / 5 Normal Academic

2 [Turn over Mathematical Formulae Compound interest Total amount = n rP       1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4r2 Volume of a cone = 3 1 r2h Volume of a sphere = 3 4 r3 Area of triangle ABC = 2 1 ab sin C Arc length = r, where  is in radians Sector area = 2 1 r2, where  is in radians Trigonometry C c B b A a sinsinsin  a2 = b2 + c2 – 2bc cos A Statistics Mean = f fx   Standard deviation = 22          f fx f fx

3 [Turn over Answer all the questions. 1 (a) (i) Factorise 254016 22  xyyx . [1] (ii) If kxyyx  254016 22 , express y in terms of x and k, where k > 0. [2] (b) Solve the equation 2 15 2 3 436 xx  . [2] (c) Simplify 2 2 412 28 xx x   . [2] (d) Given that 311  yx , find the value of yxyx yxyx   2 232 . [2]

4 [Turn over R S T Q O P 2 (a) Each exterior angle of an n-sided regular polygon is 16 greater than each exterior angle of another 3n-sided regular polygon. (i) Find n. [2] (ii) Calculate an interior angle of the 3n-sided regular polygon. [2] (b) In the diagram, PQRS is a rhombus and QS is a diagonal. RS is pro