Montfort Secondary School 2025 Prelim Elementary Mathematics P2

Name: ______________________________ ( ) Class: ___________ Secondary 4 Express/ 5 Normal (Academic)MATHEMATICS 4052/02Paper 2 28 August 2025 (Thu)Candidates answer on the Question Paper.2 hours 15 minutesREAD THESE INSTRUCTIONS FIRSTWrite your name, class and register number on all the work you hand in.Write in dark blue or black pen.You may use a pencil for any diagrams or graphs.Do not use staples, paper clips, 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 90.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.This document consists of 20 printed pages.Mathematical Formulae MONTFORT SECONDARY SCHOOLPRELIMINARY EXAMINATION

2 2025 Preliminary Examination Compound interestTotal amount = nrP1001 MensurationCurved surface area of a cone = πrlSurface area of a sphere = 2π4rVolume of a cone = hr2 π31Volume of a sphere = 3 π34rArea of triangle ABC = Cabsin 21Arc length = r, where is in radiansSector area = 2 21r, where is in radiansTrigonometryCcBbAasinsinsin2222cosabcbcAStatisticsMean = ffxStandard deviation = 22ffxffx1(a)

3 2025 Preliminary Examination Simplify 2224.16xxyxyAnswer …………………………………[2](b)Simplify 4228aapp, leaving your answer in positive index notation.Answer …………………………………[2](c)Solve the equation 26170xx by completing the square.Give your solutions correct to 2 decimal places. [Turn overAnswer x……………… or ….……………[3]

4 2025 Preliminary Examination (d)Solve 231.24xx Answer x……………… or ……………….[4]

5 2025 Preliminary Examination 2(a)Dan works in a shop.He is paid $12.50 for each hour he works.He is also paid a bonus of 5% for the sales made from the goods he sells. In a particular week, Dan worked for 38 hours and made $1450 in sales from the goods sold.Calculate the total amount he was paid for the week. Answer $ …………….………………[2](b)Peter spends £385 on his credit card when he is London.He pays a credit card fee of 1.5% of this amount. The credit card company uses an exchange rate between Singapore dollars ($) and British pounds (£) of $1 = £0.57. Calculate the total cost, in Singapore dollars, that Peter must pay the credit card company. Give your answer correct to the nearest cent. Answer $ …………….………………[3][Turn over

6 2025 Preliminary Examination (c)The table shows the mass, in grams, of three atoms.AtomCarbonHydrogenOxygenMass (grams)231.9910241.6610232.6610A carbon dioxide molecule consists of one carbon atom and two oxygen atoms.A water molecule consists of two hydrogen atoms and one oxygen atom.(i)Find the mass, in grams, of one molecule of carbon dioxide.Give your answer in standard form.Answer …………….……………… grams[2](ii)Find the number of water molecules in 500 g of water.Give your answer in standard form. Answer …………..….……….…………[3]

7 2025 Preliminary Examination 3The cumulative frequency curve below shows the masses of 160 eggs from factory A.Cumulativefrequency16014012010080604020080705030206040Mass (g)0 (a)Use the curve to estimate(i) the median mass, Answer ………..………………… g[1](ii) the interquartile range of the masses.Answer …………………………… g[2](b)Three of the 160 eggs are selected at random without replacement.Find the probability that two eggs each has a mass less than 48 g and one egg has a mass greater than 75 g.[Turn overAnswer ……………………………. [3]

8 2025 Preliminary Examination (c)The box-and-whisker plot below shows the masses of 160 eggs from factory B.Mass (g) Halim made the following statements.Explain for each statement whether you agree or disagree and then provide a reason.Statement 1. The eggs in factory A are heavier. 2. The eggs in factory B have a wider spread of masses. Answer1.………………………………………………………………………………………...……………………………………………………………………………………………………………………………………………………………………………………………………2 ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………[4]

9 2025 Preliminary Examination 4(a)Complete the table of values for 35yx.x3210123y13654322[1](b)On the grid, draw the graph of 35yx for 33x. [3]

10 2025 Preliminary Examination (c)Use your graph to estimate the value of 35.Answer …………..….………………[1](d)(i) On the same axes, draw the graph of 155yx.[2](ii) Write down the x-coordinate of the point where this line intersects the curve.Answer ………….…………..…………[1](iii) This value of x is a solution of the equation 3.xabx Find the value of a and of b.Answer a………..…….….………… b……..……….…….………[2]