The total of the marks for this pap er is 100 Setter Poh Eng Hua Terence This

The total of the marks for this pap er is 100 setter

This preview shows page 464 - 470 out of 477 pages.

The total of the marks for this pap er is 100. Setter: Poh Eng Hua, Terence This paper consists of 13 printed pages , INCLUDING the covor page. CCHY End of Year Examination {2011) Seconda<y 2 Mathematics pglofl4
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I. (a) Factorise fully 2x 2 y+ 8~+12y + 3.xy 2 . (a) (b) (b)s I I 1 . 11 . . 3x - 1 1 x+2 o vc t 1c o owmg equahon -- - = · ~ . 4 5 2x(xy + 4) + 3y(4 + xy) (2x+yXxy+4) 3x--1- 4 x+2 = -- 4 5 15x - 25 = 4x + 8 11x= 33 x=3 (Ml] [Al] [ MI] [Ml] [AI] Answer: (a) .................... .. ......................... L3 J (b) ............................................... (31 2. An actual length of Skm road is represented by a length of 20cm on a map. (a) Find the scale of map in the fom1 of I : n. (b) Given a circular garden of area 2.5 km 2 is represented on th e rnup, find the radius nfthe garden on the map. (a) 20c.m :5km 20:500000 (MIJ 1 :2 5000 (Al l (b) 1 : 0.25/an - length 1cm 2 : 0.0625krn 2 - Arca (Ml] Arca on map = 2 · 5 = 40crn 2 0.0625 [Ml] nr 2 = 40 r = 3.57(3sf) [Al] CCHY End of Year Examination (201 1) Sec.ond;iry 2 Math ema ti cs pg2ofl4
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3. A fair coin is first tossed followed by a throw or a fair 6-sided dice and th e outcomvs 01.; noted. ( a) In th e ans wer spa ce bel ow, list th e sa mpl e s pa ce . (b) Hen ce , fi nd th e pr obabi lity of ge tting (i) a he ad fo llo wed by a ' I '. (ii) u hC3d follow ed by an ev en number. (iii) a fac tor of 4 from the dic e. A nswe r: 3( a) sa mple sp ace = {( H ,1 ),( H.2 ).( H,3 ).( 11.4 ).( H,5 ),( H.6 ).(T.1) . (T .2 ),(T .3 ), (T.4 ). (T, 5 ),(T, 6 )} [21 1 2 (i) - IB I) iii) - 12 3 1 (ii) - - (Bl] 4 4. TI1 e dat a · below repr ese nt the distan ce in km t rav e ll ed by 20 peop le from home '" their workpla ce . 1 I 3 5 II 9 16 35 5 43 31 16 35 23 II 27 23 21 15 ( a) In the ans wer spac e b elow, complete the stem - and-leaf di ag ram . (b) Find the median dista nce travell ed . 12 24 (c) Find the p roba bi lity t hat a pers on sele cted from t he su rvey will take less tha 11 • ; n to travel to their workplace. Answ er: 6(a ) *R2 fo r co rr ec t en t ries in st em- an d lea f. ll 1 for 4 co rr ect entri es and above. *B 1 for includin g co rrect ke y. (b) I 6km (BI) 16 (c )P (a dul ts travel < 30 km ) - - [ Bl J 20 CCHY End of Year Examinati on (2011} S tem Leaf 0 3 5 5 9 1112 5()6 2 3 3 4 7 3 5 5 4 3 0 r re pr ese n ts 03 km 4 5 [B l] Seconda ry 2 Mathemalics P. :} 3 or 14 (3 1
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5. (a) 5 men take 12 day~ to build 11 6km long road. Ass uming every man works at the same rate and lhc width of the roads arc the same. I low many men arc required to bui Id a 21 km long road in I & <lays'? (b) Given that xis inversely proportional to the positive value of /2.y -1 and x = 5 when y 5. Find the equation connecting x and y. a) 5mcn 21 x- 6 17.Smcn 3 + 2 2 11 - men 3 <:< 12 men [A 11 k b) x = I "2y - 1 k 5= ,lg k=15 15 x =€ -- J2y - 1 12days 12days 3 x- 2 18days [BI) IAI] CCHY E nd of Y ea r Examination (2011) 6km 21 x- 6 21km [Ml] 12km - [Ml) Secondary 2 Mathematics pg4 of 14
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6 ()E . I~ . . . . Ii 4 3 . a xpress as a smg e 1ra c11on 11 1 at s snnp lc st onn - - - - . 2x+1 x - 5 (b) M ake x the subject of the formula in : 3. = ,/c-b. y x 4( x - 5) 3(2 x+1) a) - - (2x + 1X x-5) (2x+ 1 Xx- 5) [Ml ] 4x -2 0-6x - 3 = (2x+ 1 Xx-5) - 2x - 23 - (2 x+ 1X x -5 ) [ i\2 j - I mark for. each er ror term 2 ic=- h. b)-= 1 ~- y ' x 4 c - h x 4x-(c - b)y 2 (c - b )y 2 x::o: - 4 CCHY End of Year Examination (2011) IM I] [Ml] IAIJ Secondary 2 Mathematics pg 5 oll4
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7. Oiagram helow shows a right angled triangle ABC with /lC = 20cm, BC ~ I 2cm, DE = 4crn.
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