PHS 4NA Math 4045 P2 2022

Name:Index No.:Class:PRESBYTERIAN HIGH SCHOOL MATHEMATICS 4045/02PAPER TWO26 July 2022 Tuesday 2 hours PRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLPRESBYTERIAN HIGH SCHOOLSECONDARY FOUR NORMAL (ACADEMIC)PRELIMINARY EXAMINATIONSDO NOT OPEN THIS QUESTION PAPER UNTIL YOU ARE TOLD TO DO SO.READ THESE INSTRUCTIONS FIRSTWrite your name, index number and class on all the work you hand in.Write in dark blue or black ink.Show your working in the space provided below each question.You may use a pencil for any diagrams or graphs.Do not use staples, paper clips, highlighters, glue or correction fluid.Section AAnswer all questions.Section BAnswer one question.The number of marks is given in brackets [ ] at the end of each question or parts of 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 total number of marks for this paper is 60.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 UseCategoryAccuracySymbolsOthersMarks DeductedQuestion No. Setter: Mrs Joyce YeoVetter: Ms Cynthia ChuaThis question paper consists of 16 printed pages (including this cover page) and 0 blank page. Mathematical FormulaeCompound Interest Total Marks

2 Presbyterian High School4045/02/4NA Prelim/2022 Total amount = nrP1001MensurationCurved surface area of a cone = lrSurface area of a sphere = 24rVolume of a cone = hr231Volume of a sphere = 334rArea of triangle ABC = Cabsin21Arc length = r, where  is in radiansSector area = 221r, where  is in radiansTrigonometryCcBbAasinsinsinAbccbacos2222StatisticsMean = ffxStandard deviation = 22ffxffx

3 Presbyterian High School4045/02/4NA Prelim/2022 [Turn over Section A (52 marks)Answer all the questions in this section.1The stem-and-leaf diagram shows the weight, in kilogram, of 20 students.401579950111459960366712 Key: 4 | 0 means 40Find (a)the number of students with weight more than 59,Answerstudents[1](b)the median weight.Answerkg[1]2The amounts of flour, butter and sugar required to bake a cookie are in the ratio 3 : 2 : 1.The total weight of all three ingredients is 450 grams.Find the a