BMSS 4NA 2022 E Math Prelim with ANS

\ Class \ Index Number \ Name BUKIT MERAH SECONDARY SCHOOL PRELIMINARY EXAMINATION 2022 SECONDARY 4 NORMAL (ACADEMIC) MATHEMATICS SYLLABUS A Paper 1 Candidates answer on the Question Paper. READ THESE INSTRUCTIONS FIRST Write your class, index number and name 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 the questions. 4045/01 18 August 2022 2 hours 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 80. 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 re, use either your calculator value or 3.142. Calculator Model: Setter: Mr Eric Yong This document consists of 20 printed pages. Partnerlnlearning 133 For Examiner's Use [Turn over

Compound Interest Mensuration Trigonometry Statistics Mathematical Formulae Total amount= P ( 1 + 1~0) n Curved surface area of a cone = rrrl Surface area of a sphere = 4nr 2 1 Volume ofa cone= 3nr 2 h 4 Volume of a sphere = 3 nr3 1 Area of triangle ABC = 2 ab sin C Arc length= r0, where 9 is in radians 1 Sector area= 2r 2 0, where 9 is in radians a b C --=--=--sin A sin B sin C a 2 = b2 + c2 - 2bccosA r.tx Mean=--L[ r.fx 2 r.tx Stand ard deviation = YT - ( L f Partnerlnlearning 134 ) 2

- - -- ~--- Answer all the questions. 1 (a) Evaluate ;.3 2 + (3.0s-1 i) 2 , giving your answer correct to 2 significant figures. 5.2 x0.08 7 Answer .. .. . . . . . . . . . .. .. .......... ... .. [1] (b) A number is rounded off to 3 significant figures as 0.0308. What is the smallest possible value of the number? Answer . . . .. . .. . . . . . ... .......... .. .... [1] 2 The numbers a, b, c and dare represented on the number line shown below. 11 1.8 ab The values of a, b, c and dare listed below. 1.843, Find a, b, c and d. • 1.8, Partnerlnleaming 135 11 cd 1.9 184% Answer a= ...... ... ......... ...... .. . b = ..... ....... ... ...... ..... . c= ...... .......... ....... ... . d= .. .... .. .. ......... .... .... [2]

BP-140 3 Factorise completely Answer . . . . . . .. ... . . . . . . ..... .. . . . .. . . . [1] Answer .. . . .. . . ... . . .. . . .... ...... ... . . [2] 4 (a) Given that x2 -4x-2=(x+p)2+q,findpandq. Answer p = .......... ... ..... .... .... . q = . ......... .. .. . . ...... ..... [2] (b) Hence, or otherwise, solve the equation x2 - 4x - 2 = 0 . Partnerlnleaming 136 Answer x = ....... ..... or ......... ... [2]

BP-141 5 (a) Calculate the sum of the interior angles of a p