Tanjong Katong Secondary School Paper 1

CANDIDATE NAME MATHEMATICS 4048/01 Paper 1 Thursday 4 August 2022 2 hours READ THESE INSTRUCTIONS FIRST Write your name, class and register number on all the work you hand in. Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid/tape. 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 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 80. Mathematical Formulae TANJONG KATONG SECONDARY SCHOOL Preliminary Examination 2022 Secondary 4 CLASS INDEX NUMBER This document consists of 18 printed pages. www.KiasuExamPaper.com 735

2 4048/1/Sec 4 Prelims 2022 Compound Interest Total Amount = P n r      + 1001 Mensuration Curved surface area of a cone = rl Curved surface area of a sphere = 4r2 Volume of a cone = 3 1 r2 h Volume of a sphere = 3 4 r3 Area of triangle ABC = 2 1 ab sin C Arc length = r, where  is in radians Sector area = 2 1 r2 , where  is in radians Trigonometry A a sin = B b sin = C c sin a2 = b2 + c2 − 2bc cos A Statistics Mean =   f fx Standard Deviation = 22       −     f fx f fx www.KiasuExamPaper.com 736

3 4048/1/Sec 4 Prelims 2022 1 Calculate 322.3 1 ( 4.5) 7 20 ( 3)− + − − −   − , giving your answer correct to 4 decimal places. Answer [1] 2 4 workers can pack 3 containers for shipping in 15 days. Find the number of workers needed to pack 10 containers of the same size in 20 days. Answer [2] 3 A, B, C and D are points on a circle. AC is a diameter of the circle and angle DBC = 68. Find angle ACD. Answer [2] [Turn over B A C D 68 www.KiasuExamPaper.com 737

4 4048/1/Sec 4 Prelims 2022 70 60 Type of Drinks 50 4 The graph shows the number of each type of drinks purchased in a food court. State a misleading feature of the graph and explain how this will affect the reader’s interpretation of the graph. [2] 5 The diagram shows a square and a figure that is made up of six smaller squares. The ratio of the perimeter of the square : perimeter of the figure is 6 : 7. Fin