AHS 2025 EMATH PRELIM P1 QP

Name: ( ) Class: 4 ( ) 9o MATHEMATICS 4052/01 Paper 1 20 August 2025 Candidates answer on the Question Paper. 2 hours 15 minutes READ THESE INSTRUCTIONS FIRST Write your name, index number and class in the space 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 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, unless the question requires the answer in terms of . ------------------------------------------------------------------------------------------------------------------------------ For Examiners’ Use Question 1 2 3 4 5 6 7 8 Marks Question 9 10 11 12 13 14 15 16 Marks Question 17 18 19 20 21 22 23 Marks Clarity/ Logic Accuracy/ Precision Units 90 Parent’s Name and Signature: Date: This document consists of 19 printed pages and 1 blank page.

2 Mathematical Formulae Compound Interest Total amount = Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry Statistics Mean = Standard deviation = Anglican High School Preliminary Examination 2025

3 Answer all the questions. 1 Simplify , leaving your answer in positive index form. Answer ………………………………… [2] 2 Expand and simplify . Answer ………………………………… [3] 3 Factorise completely . [Turn Over

4 Answer ………………………………… [2] 4 (a) Solve the equation . Answer x = …………………………… [2] (b) Solve the equation . Anglican High School Preliminary Examination 2025

5 Answer x = …………………………… [3] 5 Mr Chan is looking at Deepavali decorations. There are two lights, one green and one red, flashin