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

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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
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
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
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
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
7. Oiagram helow shows a right angled triangle ABC with /lC = 20cm, BC ~ I 2cm, DE = 4crn.

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