North Vista 4E 2024 Prelim Paper 2 QP

[Turn over NORTH VISTA SECONDARY SCHOOL Preliminary Examination 2024 Secondary 4 Express/ 5 Normal Academic CANDIDATE NAME CLASS _________________________________________________________________________ MATHEMATICS 4052/02 Paper 2 20 August 2024 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number on all the work you hand in. 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 the questions. 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 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. Gives 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  . 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 90. This document consists of 23 printed pages. INDEX NUMBER For Examiner’s Use Category Question No. Accuracy Brackets Fractions Units Others Marks Deducted 90

2 Mathematical Formulae Compound Interest Total amount = nrP )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 = r , 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 = 22        −  f fx f fx

3 [Turn over 1 (a) Solve the inequality 5 3 2 13x−  −  . Answer ...…………………...……….. [2] (b) Solve these simultaneous equations. 1 52 2 3 13 xy xy += −= You must show your working. Answer x = ...…….… y = ……...…… [3]

4 1 (c) 3 41 rqp r += − (i) Find p when 7r = and 15q=− . Answer p = .…………………...…… [1] (ii) Rearrange the formula to make r the subject. Answer r = ...……..……...………….. [3]

5 [Turn over 1 (d) Solve 15 321 xx =+− . Answer x = ...….…… or ..….……... [3]

6 2 (a) The table shows the amount of ‘Food Waste Output’ and ‘Food Waste Recycled’ in Singapore from 2008 to 2010. Year 2008 2009 2010 Food Waste Output (*Tonnes)