2022 Sec 2 Express Math EOY Anglo Chinese School with Answers

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BP-3 Full Name Class lndex No Class ?viln $\tu"e Fdqorl (prrtlt&ri) END-OF.YEAR EXAMINATION 2022 SECONDARY TWO EXPRESS MATHEMATICS PAPER 1 1 HOUR 30 MINUTES Candidates answer on the Question Paper READ THESE INSTRUCTIONS FIRST Write your index number and name on all the work you hand in Write in dark blue or black pen. 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 specilied 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 z , use either your calculator value ot 3.142, unless the question requires the answer in terms of 7f. 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 60 For Examiner's Use PartnerlnLeaming 1 This question paper consists of 14 printed pages.

BP-4 Mathematical Fotmulae Compound interest Mensuration Tigonometry Statistics Total amount = P l+ r 100 Curved surface are t of a coae = rrl Surface area of a sphere = 4nr2 I Volume of a cone = ! tr'hJ /. Volume of a soh ere = 1 rrlJ ,| Area of rianele,4 BC =:absnC-2 Arc length = rd , where d is in radians l- Sector area =-r'0 - where d is in radians 2 a b c sinl sinB sin C a' =b2 +c2 -2bccos A Mean = Zr,Zr PartnerlnLearning 2 Standard deviatio " = El -fiil

BP-5 I121 r3\-4I Evaluate + J50 , giving your answer correct to the nearest whole number. Answer t1l 1 The sum ofthree consecutive odd numbers is 105. By letting the smallest integer be .:r, form an equation in x and find the value ofx. Answer x = l2l 3 Factorise (a) 9x+3x3 +27xy, O) 4x2 -t6y2 . Answer Answer t1l 12) PartnerlnLeaming J

BP-6 4 Spencer prepares 180 chicken wings, 240 satays and 300 curry fish balls for a party. Each guest eats the same quantity of each type of food. (a) What is the largest number of guests he can invite, if no food of any kind is to be left over? Answer (b) How many curry fish balls does each guest eat if the largest number of guests is invited? Answer 12) ttl 5 (a) Solve the inequality -2x+4<3x-2 Answer O) Express yow solution in (a) on the number line below. Answer t1l t1l (c) Hence state the smallest integer value of .x. Answer x = PartnerlnLeaming 4 tll

BP-7 6 A polygon has n sides and three of its interior angles are 123o, 100o and 77". The remaining (z -3) interior angles are each 170'. Calculate the value ofn. Answer n = t3l 7 Given that v2 =u2 +2as , (a) make r the subject ofthe formula, Answer u = O) find the positive value of u when v=-12, a=3,and s =2, givingyour answer to 5 significant frgures. Answer u = 12) tll PartnerlnLearning 5

BP-8 8