2024 Outram Prelim P2 QP

1 Subject : Mathematics Level (Stream) : Secondary Four Express & Five Normal Academic Paper : 4052/02 Date : 23 August 2024 Duration : 2 hours 15 mins Marks : 90 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. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, highlighters, glue or correction fluid. Answer all questions on the Question Paper. 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. 90 This document consists of 22 printed pages, including this cover page. OUTRAM SECONDARY SCHOOL PRELIMINARY EXAMINATION 2024 Class Index No Name: __________________________________________________

2 Mathematical Formulae Compound interest Total amount = Mensuration Curved surface area of a cone = Surface area of a sphere = Volume of a cone = Volume of a sphere = Area of triangle ABC = Arc length = , where is in radians Sector area = , where is in radians Trigonometry Statistics Mean = Standard deviation = n rP      + 1001 rl 24 r hr 2 3 1 3 3 4 r Cabsin2 1 r  2 2 1 r  C c B b A a sinsinsin == Abccba cos2222 −+=   f fx 22       −     f fx f fx

3 Answer all the questions. 1 (a) It is given that 1 microgram = 10− 6 grams and 1 milligram = 10− 3 grams. (i) If 1 milligram = p micrograms, find the integer value of p. Answer p = …………..……………….. [1] (ii) The recommended daily amount of vitamin A intake for an adult man is 900 micrograms. The amount of vitamin A in half a cup of boiled spinach is about 0.573 milligrams. An adult man consumed one cup of boiled spinach in a day. Explain whether he has met the daily recommended intake of vitamin A. ………………..………………..……………………..…………………… ………………..………………..……………………..…………………… ………………..………………..……………………..…………………… [2] (b) A map has a scale of 1 : 30 000. (i) The distance on the map between Town A and Town B is 8.5 cm. Find the actual distance, in km, between Town A and Town B. Answer …………………..………… km [1] (ii) On the same map, the actual area of a pond is 0.36 km2. Find the area of the pond represented on the map. Answer ……………..…………… cm2 [2]

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