Seng Kang Sec Sch P1 2020

- SENG KANG SECONDARY SCHOOL PRELIMINARY EXAMINATION 2020 MATHEMATICS 4 NORMAL ACADEMIC 4045/01 12 AUGUST 2020 READ THESE INSTRUCTIONS FIRST Candidates answer on lhe Question Paper. 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. Arlswer all questions . If woru,g is needed for any question It must be shown with the answer. Omission of essential working wll result In loss of marks. 2 hours The use of an approved scientific calculator is expected, where appropriate. If lhe degree of accuracy is not specified In the question, and If the answer Is not exact, give the answer lo three significant figures . Give answers In degrees to one decimal place . For", use either your calculalor value or 3.142 , untess the question requires the answer In terms of" . At the and of the examination, fasten all your work securely together. The number of marks Is given in brackets [ J at the end of each question or part question. The total of the marks for this paper Is 80. 80 Parent'• / Guardian'• Slgnatura: ............... ..... . , ...... • • • • • • •·· This document consists of 16 printed pages and O blank page. [Tum Over 2 MolMllflllicoJ Fo,,,,11/u Compo11nd In/era/ Total amount= JI+...!:_) • • \ IOO Geometry and Me0311remenl Trigonometry Statistics Curved surface area of a cone= nrl Surface area ofa sphere= 4111·' Volume ofa cone= !,.,.,h 3 Volume ofa sphen:= i,.,., 3 Area of triangle ABC= .!.ab sin C 2 Arc length= rO , where (J is in radians Sectorarea=.!., 20 , where fJ is in radians 2 a' =b' +c' -2bccosA Lfx Mean=~ ~I Lfx' (Lfx)' Standard deviation = Lf - Lf

3 (a) Express i as a decimal. Answer all 01e questions. Answ,,r , , , ................................................. (I) (b) Write 1720.9394 in 3 significant figures Answ,,r ..... ............................................... (I) (c) In 2018. the men's marathon world record was 2 hours 2 minutes and 50 seconds. In 2019. a new world record was set and it was 3 rnins 17 seconds raster than the previous record. Write down the timing or the new world record set in 2019. Answer ..................... hours ............ ........ minutes .................... seconds (2) 2 y is pmportjnnal 'to~ cube of .r. Given thaty = 3 when .r = 2. find y when .r = 5. Answer y= .. .. ........ , .. , .. ..... .. [2] [Tum Over 3 Ct,oco/a1, Brownt, fkcipe 280g ofnour 140g of butter 4 eggs I OOg or cocoa powder 50g of chocolate chips 260g of brown sugar 4 The above recipe makes exactly 24 brownies (a) Find the ratio of the mass of brown sugar to mass of butter in the recipe. A111wter ... ......................... ....................... [I] (b) Mrs Brown wants to make 100 brownies to sell. How many kilograms of nour will she need? A,uw,,r ...............................................