2018 BPGHS Sec4 EMaths Prelim Exam - Paper 1&2 with ans

Candidate’s Name ____________________________Class __________Index No____ BUKIT PANJANG GOVERNMENT HIGH SCHOOL PRELIMINARY EXAMINATION 2018 SEC FOUR EXPRES S / FIVE NORMAL MATHEMATICS 4048 / 01 Paper 1 Date: 15 Aug 2018 Duration: 2 hours Time: 0745 - 0945 Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your name, class and index number in the spaces at the top of this page. 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 number of marks for this paper is 80. FOR EXAMINER’S USE / 80 This document consists of 18 printed pages. Setter : KH Chiam [ Turn over

2 Mathematical Formulae Compound interest Total amount = n rP       1001 Mensuration Curved surface area of a cone = rl Su rface area of a sphere = 24 r Volume of a cone = h r2 3 1  Vol ume of a sphere = 3 3 4 r Area of triangle AB C = C absin2 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 sin sin sin  A bc c b acos 22 2 2   Statistics Mean = f fx   Standard deviation = 22fxf x f f    

3 Answer all the questions. 1. (a) Factorise ݔଶݕଶ . (b) Hence, for ݔଶݕଶ ൌ0 , f ind the ratio ݕ:ݔ . Answer (1a) ________________________[2] (1b) ________________________[1] 2. Red paint was mixed with blue paint in different combination s in an attempt to obtain purple paint. The table shows the combinations of red paint and blue paint. State a nd explain your answer, whether the amount of red paint used is proportional to the amount of blue paint used for the combinations. Answer (2) ________________________[1] 3. A group of students line up. If they lined up in 2s or 6s or 9s, there will be one student without a pa rtner. Calculate the least number of students in the contingen t . Answer (3) ________________________[2] Red paint (litres) 1 2 3 4 Blue paint (litres) 3 5 7 9

4 4. Art