CHIJ SJC 4048_01 QP

[Turn over Index Number Class Name Calculator’s model CHIJ ST JOSEPH’S CONVENT PRELIMINARY EXAMINATION MATHEMATICS Paper 1 Secondary 4 Express / 4 Normal Academic (O level) / 5 Normal Academic 4048/01 Friday, 27 August 2021 2 hours Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number, class, name and calculator model in the spaces at the top of this page. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all 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. Working in pencil will not be marked. The total of the marks for this paper is 80. You are expected to use a scientific calculator to evaluate explicit numerical expressions. 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 80 This document consists of 19 printed pages. Setter(s) : Mrs Lee Ann Gee O O

2 [Turn over Mathematical Formulae Compound interest Total amount = P nr )1001( + Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cabsin2 1 Arc length = , 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 = 2 2 )( f fx f fx  −  r  

3 [Turn over Answer all the questions. 1 Given that 1 264 n= , find n. For Examiner’s Use Answer n = ................................................................ [1] 2 List the integer values of x which satisfy the inequality 1243 − xx . Answer ................................................................ [3] 3 (i) Factorise completely 22 10xx+− . Answer ................................................................ [1] (ii) Hence, factorise completely 22(2 3) (2 3) 10yy− + − − . Write your answer as simply as possible. Answer ................................................................ [2]

4 [Turn over 4 (a) Find the prime factors of 1080, giving your answer in index form. For Examiner’s Use