Math - Sec 2 - SA 2 - 2021 - Fajar Sec

BP- 130 FAJAR SECONDARY SGHOOL 2021 EN D.OF.YEAR EXAMINATIONS SECONDARY 2 EXPRESS CANDIDATE NAME CLASS INDEX NUMBER MATHEMATICS Paper 1 Setter: Tan Yiling Candidates answer on the Question Paper. 4048t01 4 October 2021 t hour 15 minutes READ THESE INSTRUCTIONS FIRST Write your class, 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. Do not use staples, paper clips, glue or correction fluid. Answer all questions. lf working is needed for any question it must be shown with the answer. Omission of essential working will result in loss of marks. 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 n, use either your calculator value or 3.142, unless the question requires the answer in terms of n. 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 50. Do not open this docurnent till permission is given. This document consists of 12 printed pages and 0 blank pages. PartnerlnLearning 130 For Examiner's Use

BP-131 2 Mathematicul Formulae Compound interest Mensuration Trigonometry Statistics Area of triangLe ABQ: Arc length = t0 , where d Sector area : ! r'0 .where 2 a c =-sin Csin A sin.B az =bz +c2 -ZbccosA Mean : Z "f* Zf Standard deviation = PartnerlnLearning 131 Total amou nt= P(t* ' ''I" ( lool Curved surface area ofa corre= nrl Surface areaof a sphere : 4Nr2 Volume of a cone : lnr'h J Volume of a sphere : lnrt J !absinC 2 is in radians d is in radians >,.f*' (>n\' zf -t r/l

BP-132 3 Answer all the questions. 1 The woTd "RESPONSIBILITY" is made up of 14 letters Tl I i ti (a) selecting the letter "S", wit Answer tll (b) selecting the letter "A" Ans **er I1l Simpliff 6x 3xzv(a) 5, * ror\ (b) @-0 (o-a)' 2a Answer l2l Answer 121 PartnerlnLearning 132 [Turn over

BP-133 3 Factorise completely (a) 8xy -28y -6x +21 (b) 6x2-2x -8 Answer .... l2l Answer .. l2l 4 The mass, M grams, of a model car is directly proportional to the cube of its length, / centimetres. When the length is 3 cm, its mass is 12 g. (a) Find a formula for M in terms of /. Answer l2l O) Find the length of the model car when its mass is 324 g. Answer .......cm tl] PartnerlnLearning 133 4

BP- 134 The stem-and-leaf diagram shows the Science test scores 'Tui i*i: 5 students. witStem 1 2 J 4 5 6 1 8 L,eaf 7 0 0 1 J J 9 1566339 6 Key: 1l 7 means 17 marks Find (a) the modal mark, Answer tll (b) the median mark. Answer tll (c) (l) Explain why a dot diagram is not a good choice to organise the above data. Answer tll (ii) Suggest another suitable statistical diagram to present the test scores. Answer I1l PartnerlnLearning 134 [Turn over

BP- 135 6 6 During a study on plant reproduction, same amount of seeds are scattered in each of the pots. The dot diagram represents the number of seeds that germinate in each pot. taJI tlllrt'lllaat ill23.15 Nurnber of seeds germinated in each pot (a) How many pots are used in this study? Answer tll (b) Find the mean number of seeds germinated in each pot. Answer 12) 7 Rearrange the formula y = #to make z the subject. Answer z = t3l PartnerlnLearning 135

BP- 1 36 7 8 Solve the simultaneous equations. x +31t - lf 2x + 4y =JQ Answer Y: .v t3l 9 (a) Solve the inequalitV *r!132 Answer (b) Write down the least possible integer value forx. Answer x: 12) l1l [Turn over PartnerlnLearning 136

BP- 137 I 10 (a) The number of visitors in the zoo for a day is given as 5000, correct to nearest hundred. Write down the minimum number of visitors that could be in the zoo for that dav. Answer l1l (b) Karen runs an animal rescue organisation. 69 of the volunteers are men and 3g are women. Her target is to have at least 75%o of tbevolunteers to be men. Work out the smallest nunber of men that would need to join this charity drive in order to achieve her target. Answer t3l PartnerlnLearning 137

11 In the rectangle PQRS, thatl/S:5 cm andPN ,S 5cm 1' (a) Write down the value of (r) cos IPNS , (ii) tan IMNR. (b) Calculate angle QPM. R t1l PQ: 2s cm and M is the fr.{?I! tf' g .IV15 vv r aE* iElH-j,i= r l) Cfn r=+.--*-l--j -EiE \# 1-;-€. fsi*"*:t-}+ ?fr 1 13 cm )u ' '?'Li it; {,} I? a point on RS such Answer tll Answer l2l Answer BP-138 [Turn over PartnerlnLearning 138

BP- 139 t2 10 The height of a right circular cone is 24 cm and its slant height is 25 cm. V the radius of the cone, Find (a) (b) the total surface area of the cone. Answer .......cm [1] Answer ....cn* Lzl PartnerlnLearning 139 I I I I I I I I I I I I I I I I !