GMSS_2024_4E5N_EM_P2_PRELIM ANS

[Turn Over Candidate Name WORKED SOLUTIONS & SUGGESTED ANSWER SCHEME Class Index Number MATHEMATICS Paper 2 4052/02 4 Express 5 Normal (Academic) Candidates answer on the Question Paper. 2 hours 15 minutes Setter: Ms Nainee Ismail and Mr Kenneth Tan Thursday, 15 August 2024 READ THESE INSTRUCTIONS FIRST Write your class, index number and name 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. 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. For Examiner’s Use This document consists of 20 printed pages including the cover page. Geylang Methodist School (Secondary) Preliminary Examination 2024 90

GMS(S)/Math/P2/Prelim2024/4E5N/Answer Scheme 2 Mathematical Formulae Compound Interest n rP      += 1001amount Total Mensuration Curved surface area of a cone rl= 24 sphere a of area Surface r= hr 2 3 1 cone a of Volume = 3 3 4 sphere a of Volume r= CabABC sin2 1 triangleof Area = radiansin is where,length Arc r= radiansin is where,2 1 areaSector 2 r= Trigonometry C c B b A a sinsinsin == Abccba cos2222 −+= Statistics f fx  =Mean 22 deviation Standard        − = f fx f fx

GMS(S)/Math/P2/Prelim2024/4E5N/Answer Scheme 3 [Turn Over 1 A model of a thermos flask consists of a solid hemisphere attached to a solid cylinder as shown. The height of the cylinder is 14 cm. The curved surface area of the cylinder is twice the curved surface area of the hemisphere. (a) Calculate the radius of the base of the cylinder. Answer ……………………………………… cm [2] (b) Calculate the height of the model of the thermos flask. Answer ……………………………………… cm [1] (c) Find the ratio volume of hemisphere : volume of cylinder. Answer …………………… : …………………… [2] 14 cm Curved Surface area of cylinder 2 Curved S urface area of hemisphere= ( ) 22 2 2rh r = ( ) ( ) ( ) 22 14 4 28 4 28 4 rr r r r r   = = = 7 cmr= Height of the model 14 7 21 cm= + = volume of hemisphere : volume of cylinder