YCKSS EM PRELIM QP 2025 P1

Name: Index Number: Class: YIO CHU KANG SECONDARY SCHOOL O-LEVEL PRELIMINARY EXAMINATION 2025 SECONDARY FOUR EXPRESS SECONDARY FIVE NORMAL (ACADEMIC) MATHEMATICS 4052/01 Paper 1 2 hours 15 minutes 1 September 2025 (Monday) READ THESE INSTRUCTIONS FIRST Write your class, index number and name 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. DO NOT WRITE ON ANY BARCODES. 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 π, use either your calculator value or 3.142. For Examiner’s Use 90 Setter: Mr Tan Thiam Boon This document consists of 19 printed pages and 1 blank page.

2 4E PRELIMINARY EXAM 2025 4052/01 Mathematical Formulae Compound interest Total Amount = P( Mensuration Curved surface area of a cone = rl Surface area of sphere = 4r2 Volume of cone = Volume of sphere Area of Arc length = r , where is in radian Sector area = , where is in radian Trigonometry Statistics Mean = Standard deviation = nr )1001+ hr 2 3 1 3 3 4 r AcbABC sin2 1=   2 2 1 r  sin sin sin a b c A B C== Abccba cos2222 −+=   f fx 2 2 ][     − f fx f fx

3 4E PRELIMINARY EXAM 2025 4052/01 Answer all the questions. 1 Simplify ( )5 4 3 2 6p p p− − + + − . Answer …….......……...……......…….... [2] 2 (a) Write down the inequalities that represent the numbers indicated on the number line. Answer …….......……...……......…….... [1] (b) State the smallest prime number that satisfies the number line shown. Answer …….......……...……......…….... [1] 3 Express as a single fraction in its simplest form ( )713 2 5 3 12 8 6 xxx +−− −− . Answer …….......……...……......…….... [3] 3 4 5 x 2 1 0 –1 –2

4 4E PRELIMINARY EXAM 2025 4052/01 4 The box-and-whisker plot gives information about the marks of 40 students in a class who sat for a Mathe