Download [PDF] April 2012 CAIE P2 Mark Schemes 1112 Mathematics Cambridge Lower Secondary Checkpoint

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ilililililuu UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS .I := :I :E 1112102 Candidaias an er on lhe Ouston Pap6r READ TI{ESE INSTRUCTIONS FIRST wdr€ you c.nir6 numbei €ndidaie nlmber and nam€ on .ll tl6 mft you hand wdto in dalk blue or bhck pen. You tray usa a $n p€ncil for on/ d€g6ms g€phso' 6uoh wor*ing oo nol use slaples, D6p.r dl!s, hEhlbhls, ol$ or @rreol on fuid. DO NOT WRIIE IN AI1Y BARCODES. Y@ shdld .hM.lt you so*i.g jn tE bekl.l. The number ol matks i6 Oiv.n in bE*els I 1 ar $o{:nd or ech q@silon d p6rt Tho tolrl numb.r ol man6 tor this pap€r i. 50. 1 3 6 6 10 1i 17 Ihls dM.nl @nsisG ol 13 pir ed pas€s ad 3 bl.nk p.g6s uNlwsndc^rri*rDcr Ituio..lr&DiBiioB I

H I ks 0l t|tffiiltffiffiilmililililil . I Write the ma$ sndm.n.acl sal€ 41lN f, I .;\ f-l-l kg g (') Writ the followins trub.ls iD ddq, $anins witli the smallqt. 0-igs 034 (b) 0388 03 0.4 nl t=**-"

a 'I i fifrIlil[ilrililil]ilr[il 3 (a) Wo* out 35% of$275 I (b) A shopke€pq buys a drcss for $40 she sele n for 148 Work out the per.entasp incl€N in the pnce oflhe drE€s. t21 14 trl tlt Il] % Wod< out the vdu6 ofu, , dd .. & NOT TO SCALE b-- b",*-" rt,-"v1l

ruilfllmilffiIfiflnllflil ' 5 A *.rer tdl< hol.ls 5000litr6 of waterwhtr tull Tie saph shows the amouol olwaler rn the itnl betwen I 100 and 1210' N C9 Ei F! ;-, fE t: 3000 2000 5000 4000 tm0 0 I100 1200 1300 (.) At I I 00 the tank is tull (l) how nucn wais is us€d betwM I I 0o and 12 30' (ii) dre tine.t whicb thw\s 2500 ]ntes in the tdlc 1400 litres fll Ill o) No wats is lsed afier 12 30. At 13 00 the tdk is th€n r€filed at a @lstan rate' It is fttl aeai! bY 13 45 show this bformarion on tle sr.Ph 1-:,"*-' t21

1ililIilliltfl ilililil]ilIilIffi il] 6 A fair spimd is iD lhe shape ofa reeular hexagon. (a) {b) What is th€ prcbability of not gEuidg an odd numler? The iable sbow infmtiotr .toui lle Nmb€r of boys dd girls in Cl4s A dd Boyt t4 32 ll 27 Write a number on e3ch stion so ,.nberts j. th.t Oe prcbability of gening aa odd nl trl I2t L:*"*' u..-c

I rffirilililmlill 13.56 E,.!ad 4r(, - l) (r) wrire dom the nqt fm tcmrs in ftis seque!@. 8.5 tll fu (b) Exphin bov you woik€d out lhe rqt two nun$e6 tu Psn (!)' ti t l0 Writo this numbq 683,459 (r) corMt to 2 d€ciinel PLces' IU Il'l fll O) corect io 2 sGdficalt fi8ures. b**.

tutilt$ilflfl]tilil1ililil]flilt ' ll Te! studenrs take tests in both mathemancs The table shom their iest sorcs t21 (r) Cal.ulate the m@ $oe for marhmtics. (b) Complete the scatter snpl by showing the scor€s ofstudenls C. D dd E. 20 t8 l6 t4 t2 E 5 4 2 0 Malh€matics (c) Dscrib€ the con€htim b€tweeD lhe mthdltics dd ihe sci€nc€ ser€s. - i -t i;'_;-i" i-i^i -t- i -i-:_ r':_ - i--i -; -i i-i i ' i' 'i -i-i -i-:- i. : i : t ' , : t t i 1,;" ' i i- '''''''_: r"i _:,: it- - ^- r... -... ... i. .. .. r...rjt ..Yx : ! - : ;iiti::t::i:l 'i i'.i'i'r'-r-,'-j-i''i ;-i--i -i i G:| ;i.I; ::ii -r'-i r' --, : I : t-:- r-,---'-i- --i^i- i'-i-r-i';-i'i-;-'i-ii.- I I - - -r-"i -.i.-.!- -!. 5-i.--r--l-{" -; -+-.i -i.-j - ''i'i-:- i_:-_:-j"'i_i i :- i ': -i_: ' -'i- ; -;.- i-;..'l-i-'i-i.':'-i-i-:' ; -j-. --i-i-r'-i--i'a-i-i-i-i'i-i--r--:' j-- .. ;.-.1- *: - i,. i.,i-i-.i ..;.- ;-..;.." i.-.. t...;.-.i.... liitti:ltt:t):: '': "; I-i i: i: :il -i-; -.t-i i; _-i_i ',: ; ii '-:''1 )) tll tll c D G IO 8 l8 l l4 L5 l2 l6 9 l7 6 t5 o 2 4 6 8 t0 12 t4 16 l8 20 rumwgj L:*-'

iltuilfiffiililthililnil . 12 (N) Tdia h.s dnwn a Plan ofhet scbool. I2l NOTT0 sci.LE "t 2lln Wod( out the ,@ of the Playgornd. (b) The sh@l ha' a circurd sodpit It h6 a radlus of 3 metr€s. work out lh€ ar€a ofth€ sandlit Use t - 3.14 or You @lculat{ vabe. l-:*"*" t2l

ffiil|frffifrmililmilfl . 13 The graph of),: 3r,2 p€sres fircug! lbe poini (- l,a). (r) Work out the valE ofa. 'Ihe sin gEph pass€s thru8h h6 point (r, ,). Wdk out tlle valu€ of r. b= nl (b) 14 A rcclugle bd width r and lasih t (d o) n 1 I Writ6 dov,n a formul. for the rft.,{ of$e rcct$sle. t= 'fte rccljngle hr. ad &€a of42 uoi6 rquarcd. Wdt doM r tomnrla for I in t6m. ofr NOT TO SCAIE t2t nl tl1 l:*-" rr.-*C

r[fltlillilililfllllilllilll 15 The dias.d, which is &aun a@umtelv. reprdots the path takd bv a walkq' al f9 IF t9 !6 G,r- st l (r) Measre and sdte do"n the b€aring of, ftom,'{. I csntioetre on the diasgm rcpr€s€ s 2 kilonetr€s. O) (0 Mesllle fld wite do'n the di€tan@ aom '{ b a' ( ) Wolt dt lte &tual distalce\ir kilonetres. At , ihe rdl€. tns onio & bearing of 125'. He wlks a fiuthd l l lm to a Point C. (c) on the diaslin above, plot tlis joumev from ' to c' L$el cle3rly the Doint c l2l m I kn tll b*--. t2l

rruilfllltiluilflililnil] 16 Sanjil collects some dat about the ag6 ofp€ople at a cinema one day. He asks 10 peopl€ watching film A and l0 people Mtcbing filn B. (!) Is the data smjir coll@ts Primaly or S€condary dala? Give a rcdotr for you anss€r- ti Itl Ttis stem{ndlsfdiagnm shows Sanjifs d.!tr. Film B 237 4 7' I 2338 2 3 4 5 884 964 99a2 Mate one statement io compare the ages ofp@ple attendiq Filn A ed Film B. trl r'^*c

tuilltfiIllll '. 17 The dlrgm shws a rect$8ul{ table. 180@ B A Ure qdhrgpns'lh€orlm !owo* oln ih€ dist uce dD NOT.I0 SCAIE t2t b;*

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