2022 Sec 2 Express Math EOY Northbrooks Secondary with Answers

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BP - 255 NORTHBROOKS SECONDARY SCHOOL End-of-Year Examination 2022 Secondary 2 Express NORI}iBROOTS CANDIDATE NAME CLASS REGISTER NUMBER MATHEMATICS Paper'1 Candidates answer on the Question Paper 4052t01 7 Oclober 2022 t hour 15 minutos READ THESE INSTRUCTIONS FIRST Write your register number, name and class 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. 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 with the answer. Omission of essential working will result in loss of marks. The total of the marks for this paper is 50. 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 z, use either your calculator value ot 3-142. DO NOT TURN THE PAGE UNTIL YOU ARE TOLD TO DO SO. Thls document conslsts of 14 Prlnted PagG. PartnerlnLearning 256 FOR EXAMINER'S USE Q{0 Ql1Q8 Q9Q6 Q7Q3 Q4 Q5Q1 Q2 50 Setter: Ms Joanna Ho I I

BP-257 Answer all the questions. I The graph shows the monthly gas bill for a household in Singapore. Monthly gas bill 80 Cost of gas ($) Jan Feb Mar Apr (a) State one aspect ofthe graph that may be misleading. Answer month tll O) Explain how this may lead to a misinterpretation of the graph. Answer tll PartnerlnLeaming 258

BP - 258 2 It takes 8 men to paint 2 houses in 4 days. Given that all the men work at the same rate, how many days would it take for 6 men to paint 3 houses? Answer t3l 3 Factorise completely (a) l2ax + 2by - 3ay - 8bx , (b) 2xz -7x-ts. Answer t2) Answer ttl PartnerlnLeaming 259

BP - 259 4 (a) Sirnplifu (a+b)'z-(a+b)(a-b) Answer (b) Hence find the exact value of 10122 -l}l2x988 without using a calculator Answer t2l tzl PartnerlnLearning 260

s (a) Given that, = rrT,express m in terms of Tand *. BP- 260 t2l O) Hence find the value of a when T = 4 and, k = 5. Give your answer correct to 4 significant figures Answer m : Answer m : 12) PartnerlnLeaming 261

6 It is given thatyis directly propo(ional to the cube of (.r+2) andthatl,=4whenx=2 (a) Express -v in terms of x Answery: ... O) Find the value of :r when y = 32 Answerx:... tzl tzl PartnerlnLeaming 262 BP- 261

7 A map is drawn to a scale of I : 20 000 (a) Ifthe actual perimeter ofa school is 3600 m, find the perimeter ofthe school on the map. Answer BP-262 t2) (b) Ifa plot of land has an area of 4,5 cm2 on the map, find its actual area in square metres. Answer ...... cm 2m t2l PannerlnLeaming 263

BP- 263 8 The graph below shows the line y = -2x + 4 . v (a) x t'=-2,r+4 A student stated that the following simultaneous equations will have only one solution. l=1x+4 3Y = 4x+12 Do you agree or disagree with the student? Explain. Answer ..... t2) F l I ') I 1 -6 5 -4 J a I -) 0 I \ 3 i4 5 .A -A -R 76 (b) On the same grid, draw the line r = -3 . (c) Find the area ofthe hiangle formed by the lines x=-3, l=1x+4 and the x-axis t1l Answer unic'z [2] PartnerlnLeaming 2 |_- I I I

9 There are some cows and chickens on a farm. The animals have a total of35 heads and 110 legs. By forming simultaneous equations, calculate how many more cows than chickens there are Answer BP-264 tsl PartnerlnLeaming 265