CGS 2025 EMATH PRELIM P1 MS

Name: Solution Register No.: Class: CRESCENT GIRLS’ SCHOOL SECONDARY FOUR PRELIMINARY EXAMINATION MATHEMATICS 4052/01 Paper 1 21 August 2025 2 hours 15 mins Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, register number and class 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. Give answers in degrees to one decimal place. For 𝜋𝜋, use either your calculator value or 3.142. This question paper consists of 21 printed pages. Question 1 2 3 4 5 6 7 8 9 10 11 12 Marks Question 13 14 15 16 17 18 19 20 21 22 23 24 Marks Table of Penalties Qn. No. Presentation –1 Accuracy/ Units –1 Parent’s/ Guardian’s Signature For Examiner’s Use 90

2 2025 Prelim S4 Mathematics P1 Mathematical Formulae Compound Interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = rlπ 2Surface area of a sphere = 4 rπ 21Volume of a cone = 3 rhπ 34Volume of a sphere = 3 rπ 1Area of triangle = sin 2ABC ab C Arc length = , where is in radiansrθθ 21Sector area = , where is in radians2 r θθ Trigonometry sin sin sin abc ABC= = 222 2 cosa b c bc A=+− Statistics Mean = fx f ∑ ∑ 22 Standard Deviation = fx fx ff  − ∑∑ ∑∑

3 2025 Prelim S4 Mathematics P1 [Turn over Answer all the questions. 1 Alex puts aside $8000 in an investment fund which offers compounded interest quarterly at an interest rate of 2% per annum. Calculate the total value of his investment at the end of 3.5 years. 4 3.5 2 4Total amount 8000(1 ) 100 $8578.57 ×= + = Answer $ ……………………… [2] 2 In the quadrilateral ABCD, BC = 5.25 cm, AC = 4.32 cm. Angle 90ADC = ° . Angle 35ACD= ° . (a) Calculate AD. sin35 4.32 2.4779 2.48 cm AD AD °= = = Answer ……………………… cm [1] (b) Given that the area of triangle 23.18 cmABC = , find the obtuse angle ACB. ( )( ) ( )( ) 1Area = sin2 13.18 4.32 5.25 s in 2 sin 0.28042 163.7 AC BC ACB ACB ACB ACB ∠ = ∠ ∠= ∠=° Answer ……….……………… … [2] 3 The density of gold is 19.32 g/cm3. A B C