NASS 2025 EMATH PRELIM P1 QP

Name: .............................................................. Register no: ........... Class: ........... NGEE ANN SECONDARY SCHOOL O PRELIMINARY EXAMINATION MATHEMATICS 4052/01 Paper 1 27 August 2025 2 hours 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. 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 of the 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 π, use either your calculator value or 3.142. For Examiner’s Use Total /90 Checked by student: ………………………………. Date: ………………… This document consists of 25 printed pages and 1 blank page.

2 NAS/2025/Prelim/MA-O/P1 Mathematical Formulae Compound interest Total amount = 1 100 n rP+ Geometry and Measurement Curved surface area of a cone = πrl Surface area of a sphere = 24πr Volume of a cone = 21 π3 rh Volume of a sphere = 34 π3 r Area of a triangle ABC = C absin2 1 Arc length = θr , where θ is in radians Sector area = 21 2 r θ , where θ is in radians Trigonometry C c B b A a sin sin sin= = 2 22 2 cosa b c bc A=+− Statistics Mean = f fx ∑ ∑ Standard deviation = 22fx fx ff ∑∑ −∑∑ 

3 NAS/2025/Prelim/MA-O/P1 Answer all the questions. 1 Represent the inequality 2.5 6 x− ≤< on the number line below. [1] 2 Solve 8 96x− −= . Answer x = …………………………… [1] 3 The number of pandas in the world increased from 2410 in 2018 to 2660 in 2024. The number increased by r% each year. Find the value of r. Answer r = …………………………… [2] 6 5 4 3 2 1 0 1− 2− 3− 4− x

4 NAS/2025/Prelim/MA-O/P1 4 (a) Calculate 3 18.73 9.85 12.07 − . Write your answer correct to 5 significant figures. Answer ……………………………… [1] (b) Write your answer to part (a) in standard form. Answer ……………………………… [1] 5 James has 600 one-centimetre cubes. He arranges all the cubes into a cuboid such that the base area of the cuboid is a square. Find the smallest possible height of the cuboid. Answer ……………………………… [2]

5 NAS/2025/Prelim/MA-O/P1 6 Th