SASS 2023 Prelim 4E5N 4052 Math Paper 2 (with Ans Key)

MATHS7015SLL © SAS 2023 [Turn over Index Subject TG Class Number Candidate Name _______________________________ ST ANDREW’S SECONDARY SCHOOL PRELIMINARY EXAMINATION 2023 SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) MATHEMATICS 4052/02 Paper 2 TUESDAY 15 AUGUST 2023 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, subject TG, class and index number in the spaces at the top of this page. 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 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 90. 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 question paper consists of 22 printed pages. ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCH OOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL ST ANDREW’S SCHOOL

2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 3 1 πr2h Volume of a sphere = 3 4 πr3 Area of triangle ABC = ab2 1 sin C 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 == bccba 2222 −+= cos A Statistics Mean = f fx   Standard deviation = 22        −  f fx f fx

3 [Turn over Answer all the questions. 1 (a) Simplify