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 the midpoints of the adjacent sides of the rectangle ABCD. A point is selected at random in the rectangle ABCD. Given that AB :2AD, find the probability that the point lies in the triangle MBN. FMS(S) Sec4N(A) Preliminary Examination 2021 Mathematics Paper I

Name: Class: The dial;ram below shows a sector of a circle, radius 12 cm and angle r09p. Calculale the shaded area. Answer .....cm2 131 (a) ciirren that 0o < x < 180o, find the possible value(s) of angle I such that sin,l" = 0.839 . Answer A,= -,t.(i lVrite these numbers in order, starting with the largest, Answer smallestlargest tll 23 ;J 7.6s% 7t 4 (b) {2) FMS(S) Sec 4N(lg Preliminary Examinationr 2021 Mathematics Pap,-.;1 12\ rogo ,./-:<>/

Name: ( ) Class: 10 The pictogram shows the number of pairs of sneakers sold on an online store in the first 5 months of a particular year. T tion M Month Number of pairs of sneakers .JnU I January ooooH February oaooqr March ao April a( May aao( a represents 20 pairs ofsneakers (a) State the month with the highest sale of sneakers. Answer .......t11 (b) How many more pairs of sneakers were sold in May than in March? lnswer . pairs [] (c) Express the number of pairs of sneakers sold in April as a percentage of the total number of pairs of sneakers sold in the first 5 months. FMS{S) Sec4N(A) Preliminary Examination 2021 Mathernatics Paper 1 7

( ) Class: 11 (a) On the grid below, draw a reduction of'the figure 7 ur;ing a scale factor of 0.5. \ \ \ T \ / / / / l2l (b) BA ""h, "_f\: A F'- ABC and EFG are similar triangles. EFG is an enlargerment of ABC. Find the scale tbctor. FMS(S) Sec 4N(A) Preliminary Examination 2021 Mathematics Papr:r 1

Nane: t2 Simplify 8x -12y - 4x -5y . Simplify P+3 -2P . 128 Class: Answer ........ tll Ans'wer ...... 12) (a) Alan wants to find out how much time students spend on playing mobile games. He uses this question on a questionnaire. Give 2 reasons why the data obtained from this question might be unreliable. Answer 1. How many hours do you spend playing mobile games? Tick one box. r_t[f E tf 2. FMS(S) Sec4N(A) Preliminary Examination 2021 Mathematics Paper 1 I

Name: t4 Find the savings the Tan family made if they bought at the discounted price. Class: Tuition Mr and Mrs Tan who are both 44 years old, brought their twcr years ol,d, to the Changi Experience Studio. \Al The table below,shows the promotion on the ticket s '1 ts ffi,s"- Ticket Price \PJ- Adult (n3 - 59 years old) Child (5 - 12 years old) / Senior (60 + years old) Original Price Discounted Price Original Price Discounted Price $22 $18 $ls $12 15 Jamie walks for 15 minutes at an average speed of 71 metres per minute to reach the bus sitop. She then takes the bus to school. 'Ihe bus travels at an average speed of'45 km/h and the bus journey takes 50 minutes to reach her school. Calculate the average speed of Jamie's total joumey. Give your answer in km/h. Answer ....krr/h [3] 10FMS(S) Sec 4N(l$ Preliminary Examination 2021 Mathematics Pap,er 1