CEDAR 2025 EMATH PRELIM P1 QP

CEDAR GIRLS’ SECONDARY SCHOOL PRELIMINARY EXAMINATION 2025 SECONDARY FOUR CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS 4052/01 Paper 1 21 August 2025 2 hours 15 minutes Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST 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. 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. Gives answers in degrees to one decimal place. For  , use either your calculator value or 3.142. For Examiner’s Use 990 This document consists of 20 printed pages. [Turn over]

Cedar Girls’ Secondary School 4052/01/S4/Prelim Exam/2025 2 Mathematical Formulae Compound interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = 21 3 rh Volume of a sphere = 34 3 r Area of triangle ABC = 1 sin2 ab C Arc length = r , where  is in radians Sector area = 21 2 r  , where  is in radians Trigonometry sin sin sin a b c A B C== 2 2 2 2 cosa b c bc A= + − Statistics Mean = fx f   Standard deviation = 22fx fx ff  − 

Cedar Girls’ Secondary School 4052/01/S4/Prelim Exam/2025 [Turn over 3 Answer all the questions. 1 (a) Given 22 2 vta s −= , express v in terms of a, t and s. Answer v = ………………… [2] (b) Simplify 22 2 4 4 4 2 xy y x xy y y x −− + − . Answer ………………………… [3] 2 The diameter of a solid sphere is 7.12 cm, measured correct to 3 significant figures. Its density is 2.2 g/cm3. Find the smallest possible mass of the sphere. Answer …...………………….. g [2]

Cedar Girls’ Secondary School 4052/01/S4/Prel