2022 Sec 2 Express Math EOY Canberra Secondary with Answers

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BP-141 /_ =2022 End of Year Examination Secondary Two Express MATHEMATICS Paper 1 10 Oct2022 t hour 15 minutes 0800h - 0915h Name: ( ) Class: _ READ THESE INSTRUCTIONS FIRST Write your full name, class and index number on all work you hand in Write in dark blue or black pen. You may use a pencil for any diagrams or graphs. Do not use staples, paper clips, glue or conection 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 lo one decimal place. Forz, use either your calculator value or 3.142, unless the question requires the answer in terms of z . The number of marks is given in brackets [ ] at the end of each question or part question The total number of marks for this paper is 50. FOR MARKER'S USE Marks Awarded Max Marks Total 50 Thls questlon paper conslsts of!! printed pages includlng the covor page. Sgl!!9!: irrs lrvlng Long PartnerlnLeaming 139 IGt,/

BP-14? Mensuration Mathematical Formulae Curved Surface area ofa cone = ttrl Surface area ofa sphere = 4tr2 Volnme of a sphe ," = | ,r' Volume of a cone = 1 TT hI3 PartnerlnLeaming 140

BP- 143 1 Answer all questions. Solve the following simultaneous equations. x-2Y =13 2x+y--6 v t3l 2 workers can paint a school in 9 days. 6 workers are employed to paint the school. After working for two days, 2 ofthe worken are ill and the rest ofthe workers continue to paint the school. (a) Fmd the total number of days taken to paint the school. O) State ooe assumption that we make for (a). Answer --.-------- .......................tu PartnerlnLeaming '141 2 [Turn Over Answer x = Answer t3l

BP-144 3 Expand(: -Z)(3-x). Answer t2l 4 Factorise the following expressions completely. (a\ 2s-tsy. Answer (b\ 2x'?-4x-6 Answer t1l PartnerlnLeaming 142 t2l

BP- 145 (c) 2ax-3ay-4bx+6by Answer lz) 5 Given that p+2q=-2 and pq = -1g , find the value of(p-2q)') Answer t3l PartnerlnLeaming.143 ITurn Over

BP- 146 6 In the diagram,lC and 8D represent two ladders leaning against a vertical wall ABE CDE represents the horizontal ground. Tiangles ACE and BDE are similar, Given that -B is 1.6 m above the ground, what is the length of lB? 1.6 A B 5 CD E Answer PartnerlnLeaming 144 m[31

7 Simplifu the following expressions t5(at ___' -r 3 3-x ,,#-# (c) 16x2 -9 4x' -gx -g Answer Answer Answer 12) .. t1l t3l 8 . 4+a a-2solve - = -53 Answer a = . .t2) PartnerlnLeaming 145 [Turn Over BP-147

BP- 148 9 86+3Given that c=-b+l , make 6 the subject offormulae- Answer PartnellnLeaming 146 t3l

BP- 149 l0 Tiar,gle ABC ar,d Triangle GEF are congnrent. It is given that AC = ll cm,BC= 6 cm, angle FEG = 89' andangle BAC=33" A E ll G CB6 (a) State the conesponding angle of IBAC @) Find the length of I'G. (c) Find angle EFG. Answer Z Answer Answer t1l .... cm [1] .." tll JJ PartnerlnLeaming '147 [Turn Over