ADSS Prelim 2025 P2 [QP]

ADMIRALTY SECONDARY SCHOOL SUBJECT : Elementary Mathematics CODE/PAPER : 4052/02 LEVEL/STREAM : Secondary 4 Express / 5 Normal (Academic) DATE : 28 August 2025 TIME : 0800h – 1015h DURATION : 2 hours 15 minutes Instructions to candidates: 1. Write your name, class and index number. 2. Answer ALL questions. 3. Calculators should be used 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  . 4. Essential workings must be shown. Omission of essential workings and illegible handwriting will result in loss of marks. DO NOT TURN OVER THIS PAGE UNTIL YOU ARE TOLD TO DO SO. ______________________________________________________________ This question paper consists of 19 printed pages including this cover page. PRELIMINARY EXAMINATION 2025 NAME: NO: CLASS: 90

2 Mathematical Formulae Compound Interest Total amount = nrP    + 1001 Mensuration Curved surface area of a cone = lr  Surface area of a sphere = 2 4 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of a triangle ABC = Abc sin2 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 cos2222 −+= Statistics Mean =   f fx Standard Deviation = 22       −     f fx f fx

3 Answer all the questions. 1 1 (a) Simplify 2 2 5 20 5 5 10 x xx − +− . Answer ……..…..........………….. [2] (b) Simplify 2 3 4 12 21 7 a b a cc Answer …..…..………………….. [2]

4 (c) Simplify 1 12 3 9 27a b −   Answer …...…..…………………. [2] (d) Solve the equation 2 (1 ) 1 8 1 ( )33 yy y−+ = − − . Answer …..…..………………….. [4]

5 2 The stem -and-leaf diagram shows the time, in minutes taken by a group of 18 students to complete a survey. 2 1 1 2 3 4 5 7 3 0 3 4 7 8 4 2 6 7 5 1 9 6 4 Key: 2 1 means 21 minutes (a) Find the range of time taken. Answer …………………… min [1] (b) Find the median time taken. Answer …………………… min [1] (c) Calculate an estimate of the mean time taken. Answer …………………… min [1] (d) When the time taken to complete the survey by another 2 students was included, the mean time taken increased by 1.4%. If both students took the sa