PHSS 2022 EYE 3NA Ans

1 NAME: ( ) CLASS: TEACHING GROUP: MARKS /100 PEI HWA SECONDARY SCHOOL END OF YEAR EXAMINATION 2022 Secondary Three Normal (Academic) MATHEMATICS 28 September 2022 2 hour 30 minutes Candidates answer on the question paper. No Additional Materials are required 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, glue or correction fluid. Answer all 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 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 . 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 100. This question paper consists of 21 printed pages, inclusive of this cover page. For Examiner’s Use Category Question No. Correction tape Pencil written Arrows Units Others

2 Mathematical Formulae Compound Interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cabsin2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sinsinsin == Abccba cos222 2 −+= Statistics Mean =   f fx Standard deviation = 22fx fx ff  −  

3 Answer all the questions 1  3.14 3.14 • 22 7− 3.142− Write these number in order of size, starting with the largest. Answer …….……., ……….…., ……….…., …….……., …….……. [2] largest 2 (a) Express 792 as the product of its prime factors. Answer …..………………………….. [1] (b) Hence find the smallest integer of p such that 792 p is a perfect square. Answer p= …..……………………... [1] 3 It is given that yx z= . (a) Find x when 125y= and 3z= . Answer x= ………………..……… [1] (b) Express z in terms of x and y . Answer z= ……………………….. [2] [Turn Over

4 4 Sam placed $25 000 in an account earning a compound interest of 3.6% per year for 5 years. Find the total interest he earned at the end of 5