PHS 4NA Math 4045 P1 2022

Name:Index No.:Class:PRESBYTERIAN HIGH SCHOOL MATHEMATICS 4045/01PAPER ONE25 July 2022 Monday 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 spaces provided above.Write in dark blue or black pen. You may use a soft pencil for any diagrams or graphs.Do not use staples, paper clips, highlighters, glue or correction fluid.Answer all 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 number of marks for this paper is 80.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 . Note that all the diagrams in this paper are not drawn to scale.For Examiner’s UseCategoryAccuracySymbolsOthersMarks DeductedQuestion No. Setter: Mrs Joyce YeoVetter: Ms Cynthia ChuaThis question paper consists of 19 printed pages (including this cover page) and 1 blank page. Mathematical FormulaeCompound Interest Total Marks

2 Presbyterian High School4045/01/4NA 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 School4045/01/4NA Prelim/2022 [Turn over Answer all the questions.1(a)2 11.751.313Write these numbers in order of size, starting with the smallest.Answer,, , [1](b)Express 73.4% as a fraction.Answer[1]2 AdultChild (Ages 4 – 12)One-Day Admission Ticket$68$58Universal Express Pass$50$50(Source: www.rwsentosa.com)The table shows the cost for one-day admission ticket to Universal Studios.The Universal Express Pass can be purchased to skip the queue at