2024 ACSI Prelim P2

90 Anglo-Chinese School (Independent) PRELIMINARY EXAMINATION 2024 YEAR FOUR EXPRESS MATHEMATICS PAPER 2 4052/02 Wednesday 7 August 2024 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your index number, name and class in the spaces on 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, 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. 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 document consists of 19 printed pages and 1 blank page. [Turn over INDEX NUMBER CANDIDATE NAME CLASS

2 ACS(Independent)MathDept/EM2/y4/2024/Prelim Mathematical Formulae Compound Interest Total amount = ( )1 100 nrP + Mensuration Curved surface area of a cone = rl Surface area of a sphere = 4 2r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of a triangle = 2 1 absin 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 sin sin sin == a 2 = b 2 + c 2 – 2bc cos A Statistics Mean = fx f   Standard deviation = 22         −     f fx f fx

3 ACS(Independent)MathDept/EM2/y4/2024/Prelim [Turn Over Answer all the questions. 1 (a) Solve the equation 2( 5) 3 1.xx− = − Answer x = ……….………...………. [2] (b) Solve the inequality 7 4 3( 2).yy−  + Answer …….…….…………..……… [2] (c) Given that 1 1 1 23p q r−= , (i) find p when 1q=− and 2,r Answer p = ……….………...……… [2] (ii) rearrange the formula to make q the subject. Answer q = ……….………...……… [3]

4 ACS(Independent)MathDept/EM2/y4/2024/Prelim (d) Solve the equation 53 32 2 1 x xx −=+− . Give your solutions correct to 2 decimal places. Answer x = ……...…. or ……...……. [5] 2 (a) A manufacturing company produces electronic components for various devices. They are analyzing the production data for the past 3 months, which includes quantities of components produced