ACSBR 2024 4E5N Prelim Math P1 QP

Full Name Class Index No Class Anglo-Chinese School (Barker Road) PRELIMINARY EXAMINATION 2024 SECONDARY FOUR EXPRESS / FIVE NORMAL (ACADEMIC) MATHEMATICS 4052 PAPER 1 2 HOURS 15 MINUTES Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your 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. Answer all questions. The number of marks is given in brackets [ ] at the end of each question or part question. 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 total of the marks for this paper is 90. 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. This document consists of 21 printed pages and 1 blank page. For Examiner’s Use

Anglo-Chinese School (Barker Road) 2 Preliminary Examination 2024 Secondary 4 Express / 5 Normal (Academic) Mathematics 4052 Paper 1 Mathematical Formulae Compound interest Total amount 1 100 n rP=+  Mensuration Curved surface area of a cone rl= Surface area of a sphere 24 r= Volume of a cone 21 3 rh= Volume of a sphere 34 3 r= Area of triangle ABC 1 sin2 ab C= Arc length r= , where  is in radians Sector area 21 2 r = , where  is in radians Trigonometry sin sin sin a b c A B C== 2 2 2 2 cosa b c bc A= + − Statistics Mean fx f=  Standard deviation 22fx fx ff  =−   

Anglo-Chinese School (Barker Road) 3 Preliminary Examination 2024 Secondary 4 Express / 5 Normal (Academic) Mathematics 4052 Paper 1 1 Write the following numbers in order of size, starting with the smallest. 81.0 , 0.902, 441 399 , 3 2 86.0 Answer ___________ , ___________ , ___________ , ___________ [1] 2 Write as a single fraction in its simplest form xx x −+− 5 1 )5( 7 2 . Answer __________________________ [2] 3 The capacity of a SD card is 250 gigabytes correct to 2 significant figures. The size of a picture file is 2.5 megabytes correct to 1 decimal place. Calculate the largest number of files that can be stored in this SD card. Give your answer in standard form, correct to 3 significant figures. (1 gigabyte = 109 bytes, 1 megabyte = 106 bytes) Answer __________________________ [2]

Anglo-Chinese School (Barker Road) 4 Preliminary Examination 2024 Secondary 4 Express / 5 Normal (Academic) Mathematics 4052 Paper 1 4 Simplify 25 20 2 cc d . Answer __________________________