ANDSS 4E2024EM_ Prelim P2_QP

This document consists of 22 printed pages. Setter: Mr Colin Chen O ANDERSON SECONDARY SCHOOL Preliminary Examination 2024 Secondary Four Express and Five Normal CANDIDATE NAME: CLASS: / INDEX NUMBER: MATHEMATICS 4052/02 Paper 2 15 August 2024 2 hours 15 minutes 1100 – 1315h Candidates answer on the Question Paper. Additional Materials: Nil 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, highlighters, glue, correction fluid or tape. Answer all questions on the answer spaces provided. 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. Give 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 . At the end of the examination, fasten all your work securely together. 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.

2 Mathematical Formulae Compound Interest Total amount = Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where  is in radians Sector area = , where  is in radians Trigonometry Statistics Mean = Standard deviation = n rP ÷ ø öç è æ + 1001 rlp 24 rp hr 2 3 1 p 3 3 4 rp Cab sin2 1 r 2 2 1 r C c B b A a sinsinsin == Abccba cos2222 −+= f fx   22        −  f fx f fx

3 Prelim 4E MATH 2024 4052/2 1 A cone has a radius of 24 cm and a total surface area of 1536  cm2. (a) Show that the volume of the cone is 6144  cm3. [3] (b) The cone is recasted into a solid sphere. Find (i) the radius of the sphere, Answer .................................... cm [2] (ii) the total surface area of the sphere. Answer .................................... cm2 [2]

4 Prelim 4E MATH 2024 4052/2 2 (a) Matthew invests $20 000 into a fixed deposit at r % per month, compounded monthly. After 24 months he will be able to receive $21 337.05. Find the value of r . Answer r = ...................................... [2] (b) Matthew buys a car on hire purchase. He made a 30% downpayment and takes up a 7 year