2024 GSS 4E Math Prelim Paper 1 FINAL

This paper consists of 22 printed pages, including this cover page. GREENRIDGE SECONDARY SCHOOL 2024 PRELIMINARY EXAMINATION SECONDARY 4 EXPRESS / 5 NORMAL (ACADEMIC) CANDIDATE NAME CLASS - INDEX NUMBER MATHEMATICS 4052/01 Paper 1 22 August 2024 Setter: Mr Chin Zhi Hao 2 hours 15 minutes Candidates answer on the Question Paper. Additional Materials: Nil 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. Answer all questions. 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 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 . The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 90. For Examiner’s Use Total 90

2 Mathematical Formulae Compound interest Total amount = n rP       1001 Mensuration 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 triangle ABC = Cab sin2 1 Arc length = r , where  is in radians Sector area = 2 2 1 r , where  is in radians Trigonometry C c B b A a sinsinsin  Abccba cos2222  Statistics Mean = f fx   Standard deviation = 22          f fx f fx

3 [Turn over Answer all the questions. 1 (a) Calculate . Answer …………………………… [1] (b) An item costs $24 when rounded off to the nearest dollar. What is the maximum possible price of the item? Answer $.….………...……………… [1] 2 (a) Given that 912 = 27x, find x. Answer x = ………………………… [2] (b) The number of people owning cars in a country increased by p% every year, from 5000 in the year 2020, to 6500 in the year 2024. Find the value of p. Answer p = ………………………… [2] 3 2123 3 25.01

4 3 School students were surveyed on their favourite brand of drink. The results are represented in the pie chart below. Brand B Brand C 9% 39% Brand A 41% Brand D 21% (a) State one error in the pie chart above. Answer …………