4NA Fairfield Methodist Sec 4 Prelim 2021

NAME: MATHEMATIGS SYLLABUS A Paper I Date: 27 July 2021 Candidates answer on the Question Paper. CLASS: FAIRFIELD METHODTST SCHOOL (SECONDARY) PRELIMINARY EXAMINATION 2O2t SEGoNDARY 4 NORMAL (ACADEMTC) 4045101 Duration: 2 hours READ THESE INSTRUCTIONS FIRST Write your name, index number and class on allthe work you hand in. Write in dark blue or black pen. You may use an HB pencilfor any diagrams or graphs. Do not use staples, paper clips, glue or conection fluid. Answer all the questions. The number of marks is given in brackets [ ] at the end of each question or part question. lf working is needed for any question it must be shown in the space below that question. Omission of essentialworking will result in loss of marks. The total number of marks for this paper is 80. The use of an approved scientific calculator is expected, where appropriate. lf 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 r, use either your calculator value or 3.142. Setter: Mr Alester Tan This question paper consists of 21 printed pages and 0 blank pages. For Examiner's Use Table of Penalties Question Number 80 Presentation o2 Rounding Off x1 Parent's/Guardian's Siqnature () @

Name. Class. Matherrriltictl Formulae l abc__= sin A sin .B sin C a' = b' + c' * Zbc cos A Mean: Standard deviation: Total amount: P(t* " )"( l0o, Mensuration Curved surface area of a cofle: lrl Surface area ofa sphere : 4ir2 Volume of a cone : L*'h 3 Volume of a sphere ,= :*t Area of a triangle ABC: !absinC2 Arc length : r0, where 0 is in radians Sector area: !r'e. where g is in radians 2 Contpound intere:st Trigonometry Statistics Zr.Zr lzrt (r.*'l' lT., -tErl FMS(S) Sec 4N(A) Preliminary Examination 2021 Mathematics Paper 1 2

Name: ( ) Class: Answer ......t21 Answer all the questions. I By writing each number correct to I significant figure, estimate the value of J4949+2'45. Show your working. 0.512 2 Find the largest integer;r satisfying 4x >7 - 3 (a) The line 2x - 5y = 20 crosses the x-axis at '4' Find the coordinates of Point,4' Answer (........ .....'...) tll (b) Show that the line 2x- 5y =20 is not parallelto another line with a gradient of 2*;. ) Answer l1l FMS(S) Sec 4N(A) Preliminary Examination 2021 Mathematics Paper 1 3

Name: ( ) Class: 4 Travis, lScot and Rina shared a sum of money rbetrveen them ln the ratio 4 : 7 : 9. (a) l3xpress the sum of money Travis had as a fi'action of'the total sum the three of them had altogether. Ans'wer ......t1.| (b) Iicot had $48 more than'Iravis. How rnuch money diclRina have? iSnn 28n5 SlmDllflv --=--------=.25 l\n' Give your answer as a single fraction in its simplest form. FMS(S) Sec 4N(l) Preliminary Examination 2021 Mathematics Papr:r 1 4

Name: 6 Class: fiU,ition IThe coordinates ofl, B and C are (-1,9) , (3,6) and (7, fr) res Given that a line passes through A, B andC, find the value "tOW i t M and N are t