2023 BPGHS Prelim P1

Name of Candidate: _____________________ ( ) Class: ______ Calculator Model: This paper consists of 22 printed pages. BUKIT PANJANG GOVERNMENT HIGH SCHOOL PRELIMINARY EXAMINATION 2023 SECONDARY 4/5 GCE 'O' LEVEL SYLLABUS MATHEMATICS Paper 1 4052 / 01 Date: 21 August, 2023 Duration: 2 h 15 mins Time: 0750 – 1005 h 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 on both sides of the paper. 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 𝜋, use either your calculator value or 3.142, unless the question requires the answer in terms of 𝜋. At the end of the examination, fasten all your work securely together The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 90. Setter: Mr Sim Meng Hoe [Turn over] Additional Materials: NIL

2 Mathematical Formulae Compound interest Total amount = n rP      + 1001 Mensuration Curved surface area of a cone = rl Surface area of a sphere = 24 r Volume of a cone = hr 2 3 1 Volume of a sphere = 3 3 4 r Area of triangle ABC = Cabsin2 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 = 22fx fx ff  − 

3 1 Calculate 33 2.13 81.23 3.23.524   , giving your answer correct to 4 significant figures. Answer ………..…………………… [1] ____________________________________________________________________ 2 At a warehouse sale, all prices are reduced by 15%. The price of a set of ear pods during the sale is $221. (i) Find its original price. Answer $ ……..…………………… [1] (ii) If the salesman still earns a profit of 10.5% during the sale, find the percentage profit he earns from selling the pair of ear pods if it is not on sale. Answer ……..………………….… % [3] ____________________________________________________________________

4 3 Ethan measures the amount of rain, in millimetres (mm), each day for 31 days. The bar chart shows his results. (a) Write down the median amount of rain.