Math - Sec 2 - SA 2 - 2021 - Punggol Sec

PUNGGOLSECONDARYSCHOOL SECONDARY 2 EXPRESS END-OF-YEAR EXAMINATION EXP ~-----~ QUESTION & ANSWER BOOKLET NAME CLASS Mathematics Paper1 READ THESE INSTRUCTIONS FIRST INDEX NUMBER Write your class, register number and name on all the work you hand in. Write in dark blue or black pen. You may use a HB pencil for any diagrams or graphs . Do not use staples, paper clips, glue or correction fluid. Answer all questions. 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 use of an approved scientific calculator is expected, where appropriate. 4048 6 October 2021 1 hour 15 minutes 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 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. For Examiner's use Parent's Signature /50 This paper consists of 11 printed pages and 1 blank page. Setter(s) : Vetter : Mdm Tng Say Ping Mdm Ho Wei Ling, Ms Jillian Khong PartnerlnLearning 331 BP-331

Compound Interest Mensuration Trigonometry Statistics 2 Mathematical Formulae r Total amount= P(l + -r 100 Curved surface area of a cone = ,rrl Surface area of a sphere= 4nr 2 1 Volume of a cone= -nr 2 h 3 4 Volwne of a sphere= -nr 3 3 Area of triangle ABC= _!_absinC 2 Arc length= r0, where 0 is in radians Sector area = _!_ r 2 0, ·where 0 is in radians 2 a b C -----=-- sinA sinB sinC a 2 = b2 + c2 -2bccosA I: +.x Mean= - 1-" I:J Standard Deviation = Partnerlnlearning 332 BP-332

3 1 If 3x = 2y, write down y2: x2• Answer .. .. .............. .... .. [2] 2 (a) 2 Solve 2-Sx :s;-(3x-9). 3 Answer .. .. ...... .. .... .. .. .. .. [2] (b) Represent the solution on a number line. [ 1] Partnerlnlearning 333 BP-333

4 3 n is a positive integer. Show that, for all values of n, ( 4n + 1)2 -( 4n-1) 2 is a multiple of 4. Answer ............... ............... ............ .... ........... .............. ...... . 4 The diagram shows the plan view (top view) of a box that contains ten spherical crystal balls with radius 2 cm. The box is in the shape of a cuboid and the crystal balls just fit into the box. Calculate the volume of empty space in the box. [3] Answer ............... cm 3 [3] Partnerlnlearning 334

5 5 T .. A regular polygon has n sides. The size of each interior anglhl l!e1 O n times the size of each exterior angle . Find the value of n.w it Answer n = .. . . . . . ... . . . . .. . . [3] 6 In the diagram, the line AC intersects the line BD at E. DE= 10 cm, BE= 5 cm and CD= 12 cm. MBE is congruent to WCE . A Find (a) LA.BE , (b) LEDC , (c) the length of AC. Partnerlnlearning 335 D Answ