Broadrick EM 2024 Maths Sec Prelim - P2

[Turn Over NameClassIndex Number BROADRICK SECONDARY SCHOOLSECONDARY 4 EXPRESS /SECONDARY 5 NORMAL ACADEMICPRELIMINARY EXAMINATION 2024MATHEMATICS Paper 2Candidates answer on the Question Paper.4052/02Aug 20242 hours 15 minutesREAD THESE INSTRUCTIONS FIRSTFor Candidate’s UseFor Examiner’s UseQuestion NumberMarksObtained1 /52 /103 /104 /95 /96 /107 /108 /109 /710 /10TotalMarks /90 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.Write the question number attempted in the left column in the box provided.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 90.For Examiner’s UseError InQuestion NumberMarks DeductedRounding-offReasoningPresentationThis document consists of 22 printed pages.Setter(s) : Ms Yeo Li Shan

2 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2 Mathematical FormulaeCompound interestTotal amount = nrP1001MensurationCurved Surface area of a cone = rlSurface area of a sphere = 24rVolume of a cone = hr231Volume of a sphere = 334rArea of triangle ABC = ab21sin CArc length = rθ, where θ is in radiansSector area = 221r, where θ is in radiansTrigonometryCcBbAasinsinsinAbccbacos2222StatisticsffxMeanStandard deviation = 22ffxffx

3 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2[Turn Over Answer all the questions.1A company produces phones.In 2023, the company produced 3.6 million smartphones. (a)Due to increased demand, the company produced 4.2 million smartphones in 2024. Express this production figure in standard form.Answer…...........……………..…… [1](b)Calculate the percentage increase in smartphone production from 2023 to 2024.Answer…...........……………….. % [2](c)In 2023, 4% of the total phones produced were not smartphones.Calculate the total number of phones produced in 2023.Express your answer in standard form.Answer…...........……………..…… [2]

4 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2 2(a)Solve . Answerx = .…...…………………... [2](b)Solve the inequality 135p.Answer…...........……………..…… [1](c)31AphAhRearrange the formula to make A the subject. AnswerA = .........……………..…… [3]

5 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2[Turn Over (d)Solve the equation .Give your answers correct to two decimal places. Answerx .......…..… or ......…..… [4]

6 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2 3 xyBA C DA is the point and D is the point .B is a point on the y-axis.(a)The line AB is parallel to 3560yx. Find the equation of the line AB. Answer….........……………..…….. [3](b)Find the coordinates of C such that it is equidistant from B and D and it lies on the line 7.5yx.Answer ( ...……......., .....…….…..)[2]

7 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2[Turn Over (c)Find the area of the quadrilateral ABCD. Answer….........…………..… units2 [2](d)Find the size of angle ABC. Answer….........…………….…….° [3]4The table below shows the number of vertices (n) and number of diagonals (X) in

8 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2 a polygon.Number of Vertices (n)Number of diagonals (X)30425569…8a(a)Write down the value of a.Answera = .........………..…..…….. [1](b)The number of diagonals is related to the number of vertices by the equation 2Xpnqn where p and q are constants.(i)Using appropriate substitution, show that 1642pq and 2555pq.Answer [2]

9 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2[Turn Over (ii)Solve these simultaneous equations to find the values of p and of q. Answerp = .…...…………………... q = .…...…………………... [3](iii)Explain whether it is possible to have a n-sided polygon with 495 diagonals. Show your working clearly.……………......................................................................................................…………….................................................................................................................................................................................................................................[3]

10 Broadrick Secondary School, Preliminary Examination 2024, Sec Four Express/ Five Normal (Academic), Mathematics Paper 2 5In the diagram, A, B, C and D are points on the circle with centre O.CT is tangent to the circle and AC is parallel to OT.Angle AOC = 100°.100° (a)Giving reason(s) for your workings, find(i)angle ABC, A BCTOD AnswerAngle ABC = ………..…....° [1](ii) angle ADC, AnswerAngle ADC = ………..…....°[1](iii) angle OTC.