ADSS Prelim 2025 P1 [QP]

ADMIRALTY SECONDARY SCHOOL PRELIMINARY EXAMINATION 2025 SUBJECT : Elementary Mathematics CODE/PAPER : 4052/01 LEVEL/STREAM : Secondary 4 Express / 5 Normal (Academic) DATE : 26 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. 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 Solve the inequality 25 142 x x+ − . Answer ..………………………… [2] 2 The population of a particular animal increased from 400 at the start of January 2023 to 620 at the start of January 2025. The population increased by x % every month. Find the value of x . Answer x = ..…………………… [2] 3 Find the smallest value of x such that the lowest common multiple (LCM) of x and 15 is 45. Answer x= ..………………….. [2] 4 The box-and-whisker plot shows information of the distribution of marks of 40 students for a Mathematics examination. (a) Use the box-and-whisker plot to find the median mark. Answer ..………………………… [1] (b) Rachel says, “Approximately 40% of the students scored 40 marks or less”. Is she correct? Give a reason for your answer. ……………………………………………………………………………………… ……………………………………………………………………………………… ……………………………………………………………………………………… [1] 5 The graph shows the number of unemployed workers in Country X for the last 10 years.

4 (a) State one feature of the graph that may be misleading. ……………………………………………………………………………………… ……………………………………………………………………………………… [1] (