ANDSS 4E2024EM_Prelim_P1_QP

This document consists of 27 printed pages. Setter: Mr Azmi O ANDERSON SECONDARY SCHOOL Preliminary Examination 2024 Secondary Four Express and Five Normal CANDIDATE NAME: CLASS: / INDEX NUMBER: MATHEMATICS Paper 1 4052/01 14 Aug 2024 2 hours 15 min 0800 – 1015 h Candidates answer on the Question Paper. No Additional Materials are required. 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 paper clips, highlighters, glue or correction fluid/tape. Answer all the questions. If working is needed for any question it must be neatly and clearly shown in the space below the question. 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 . 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 of the marks for this paper is 90.

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 ÷ ø öç è æ + 1001 rlp 24 rp hr 2 3 1 p 3 3 4 rp Cab sin2 1 r 2 2 1 r C c B b A a sinsinsin == Abccba cos2222 −+= f fx   22        −  f fx f fx

3 Prelim 4E/5N MATH 2024 4052/1 1 Expand and simplify ( )( )5 2 5 2a a b a b−+ . Answer …..…………..…………… [2] 2 Given that 23 3 90xx ++= , find x . Answer x= …..…………..…………… [2]

4 Prelim 4E/5N MATH 2024 4052/1 3 Simplify 2 22 2 4 3 6 26 x xy x y x xy y + − − +− . Answer …..…………..…………… [3]

5 Prelim 4E/5N MATH 2024 4052/1 4 Two integers, A and B, can be written as products of prime factors. 237mA += 37mBq=   The lowest common multiple (LCM) of A and B is 33 5 7 . (a) Write down the value of m and q. Answer m= …..…………..…………… [1] q= …..…………..…………… [1] (b) Find the highest common factor of A and B. Answer …..…………..…………… [1]

6 Prelim 4E/5N MATH 2024 4052/1 5 Below is a graph from the Ann