PLMGS 4E_5NA Math P1 Prelim 2017_FINAL

Name: ___________________________ ( ) Class: _______ Centre Number S Index Number MATHEMATICS 4048/01 Paper 1 16 August 2017 Candidates answer on the Question Paper. 2 hours 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. 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 of the marks for this paper is 80. This paper consists of 17 pages, including this cover page. Paya Lebar Methodist Girls’ School (Secondary) Preliminary Examination 2017 Secondary 4 Express / 5 Normal Academic Calculator Model: (if applicable) For Examiner’s Use 80 My Target is:

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. For Examiner’s Use 1 (a) Simplify ).5(2)3(3  xyx Answer [1] (b) Factorise .36)12( 2x Answer [1] 2 Factorise completely .10142115 aybybxax  Answer [2] 3 (a) On the Venn diagram, shade the region that represents A  B. [1] (b)  = {x : x is a positive integer} P = {x: x  3} Q = {x:  1 < 2x  3  9} List the elements in P  Q. Answer [1]  A B

4 [Turn over 4 n is a positive integ