NASS 2025 EMATH PRELIM P2 QP

Name: .............................................................. Register no: ........... Class: ........... NGEE ANN SECONDARY SCHOOL O PRELIMINARY EXAMINATION MATHEMATICS 4052/02 Paper 2 29 August 2025 2 hour 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, register number and class at the top of this page. 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 the questions. Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place in the case of angles in degrees, unless a different level of accuracy is specified in the question. The use of an approved scientific calculator is expected, where appropriate. You are reminded of the need for clear presentation in your answers. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 90. For Examiner’s Use Total /90 Checked by student: ………………………………. Date: ………………… This document consists of 28 printed pages.

2 NAS/2025/Prelim/MA-O/P2 Mathematical Formulae Compound Interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = rlπ Surface area of a sphere = 2π4 r Volume of a cone = h r2π3 1 Volume of a sphere = 3π3 4 r Area of triangle ABC = 1 sin2 ab C Arc length = rθ , where θ is in radians Sector area = 21 2 r θ , where θ is in radians Trigonometry sin sin sin abc ABC= = 2 22 2 cosa b c bc A=+− Statistics Mean = fx f ∑ ∑ Standard deviation = 22fx fx ff  − ∑∑ ∑∑

3 NAS/2025/Prelim/MA-O/P2 Answer all the questions. 1 (a) 23( ) 1hybx b += − (i) Find h when 5b= , 2x= and 0y= . Answer h = …………………………………. [2] (ii) Rearrange the formula to make b the subject. Answer b = …………………………………. [3]

4 NAS/2025/Prelim/MA-O/P2 (b) Solve these simultaneous equations. 6 3 16 9 2 11 xy xy −= += Answer x = …………………………………. y = …………………………………. [3]

5 NAS/2025/Prelim/MA-O/P2 (c) Solve 2 19 3 2 72 53 3 x xx x + +=−− − . Give your solutions correct to two decimal places. Answer x = …….…….…… or x = ……..……….. [3]

6 NAS/2025/Prelim/MA-O/P2 2 (a) Complete the table of values for 52y x= + . [1] x – 3 – 2 – 1 1 1.5 2 3 y 0.3 – 0.5 – 3 7 4.5 3.7 (b) On the grid opposite, draw the graph o