新加坡中学数学考试试卷

(b)
tJsing a scaIc of1 cm tO l unit on the r-axis fOr 0二 f兰 15and2cm to 10units
thc y-axis for fl兰 y兰 10l^l,draw tI〕 c grapl1of y=-5F+100on the graph papcf
whcn wct△ Ie at a hciJ刂 of1.2bl1~ 毛vaIuatc10_(l12— 1.43)+I2× (-7),showi11g your w(丫 king clearly
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(b)
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8
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(h) If Ah flnishcd the race in 17seconds, fInd the avcragc spccd that Ilc 、vas
mnning forthc last2seconds ofthc racc~
[2]
￡Par。r%`召 /
△
FiRure Nulnbcr ofmatchsticks
0
l
∠
3
6
ll
16
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Draw the pa汪 cm for FiE” rc4~
(ii) Find the numbcr ofFnatchsticks nceded in Figurc5~
(iii) 、Vhte dO、vn an expression,in te∏ ηs Of冫z,for the number ofrnatchsticks nccdcd堂 or
I)tl]`l刂 tl、 tilc=ShOp/\t∶ t∴ 辶t12(j 1)∶ k)lc“ idC(ii、 c()t|nt λIl`I{lcob l\)tl{亠 |】 {,11On∶ l)tltC〗 l∶ (
ShOp Λ atS1589
(d) I’ illd (i) {llc()ligillal l)ricc t){thc ConlputcI
(ii) 1hct】 111ount of C;SIˉ tIlt11pv11JacOb paid~givcll that(lS1 ij f∷ ∷ (b) If ShOp A dccidcsto givc a hHllcr l()%)discou11t On thc cuⅡ cI1ts(tlc phcc.Ⅱ ∴∷∶
For/T,usc cithcr your calculator valuc Or3 142,unlcss thc qucs1ion rcquircs thc ans、 vcrin tcm〕 sof t
Thc numbc「 ofmarks is givcn in brackcts[ ]atthC cnd ofcach qucstion Or pa【 i qucstiOn. Thc tOtal nu】 ubcr OfmarksJOr this papcris60~
In a mcc)Ah runstow盯ds a6nislli】lg linc at a constar)t sl)CCd y(mk’ trcs)is tI〕 c dis1anc`
bctwecn'`li and thc3nisI1i11g liI〕 c~ At tirllc r seconds,thc distance bct△ xrccn虍
d tl∶ c
6nislling lillc is givcn bv y二 -5r+100∫ or valucs ofr fi On10tO I5~
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(a) BeloⅥ 氵SllOws dlc tabIc k)1 【广=~5r+100^Find the valuc of`
【11
y=-5r+100
total alllOul〕 tc)f discouI)t~
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(b) S
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The tab1c sbo、 vs the fIrst thrcc of a s er1cs of flgu res made up ofInatchsticks
This document consists of 11 pHnted pagcs including the cover page
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(b)
C)ivcll tha1rt,=2`f,=-3and ε=O~ tlnd thc vaIuc of2夕 3_/,21'3夕 c
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END OF YEAR EⅩ A卜】INATI0N2010
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PAPER2 R汪AX RIARKS:60
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Date:60CTOBER2θ 10
/冫1sWg厂 (a)
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(b)
[I]
4.
〓〓
〓〓
一一
. . . .
(i)
Plot A,B,and C on the diagra1n。
[3]
(ii) Given that ABCD is a fhombus,plot point D on the diagraபைடு நூலகம்u and wnted。 wn
its coordinates in the ans`氵 er 1厂 space below.
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[2] 3
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6 (a)
。丁hc tc111pe1-aturc at tllc bOttoIl〕 of′ a nlOu11tain is27° C Λ ttllc pcak OftIlc Rlc)廴 lllt(1i Il.
thc tclllpc「 aturc is~12° C~
(i)
Figure″ ~
(iv) Figurc攵 has101∶ll a丈 chsticks.Find thc valuc of虍 .
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(Ⅱ ) (iii)
CvJ
Lfn
12 /廴 ns、 Ⅴer thc、 vhOIe of1his questiOn t):l a piccc Of graI)h【 )aI〕 er.
You arc cxpcctcd to tlsc a sCiCntiflc calculator to cvaluatc cxplicit nulnc「 ical cxprcssions~
1fthc dcgrcc ofaccu1ˉ acy is nOt spcci丘 cd in thc qucstion,and ifthc ans、 vcris not cxact,息 :vc thC ans、 λ/cr to tlrcc signiflcant【 lgurcs~Givc ans、 vcrs in dcgrccs to onc dccinlal placc.
[3]
(cl From your gralJl〕 ,whtc down
(i) the dis佗 nce befwecn Ah and thc3nishing linc aacr7sec,
[l]
(ii) thC time takcn for AIitO run40m.
[l]
(d)
(i)
State the total distancc ofthc race.
Duradon:1hours30Inin
READ THESE INSTRUCTIONS FIRST:
V￠hte your name,rcgistc「 nulllbcr and class in thc spaccs providcd at thc top ofthis pagc~ 、Vritc in dark bluc Or black pcn You rnay usc a pcncⅡ lor any diagrams Or graphs
(ii)
FiI1d
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thc diff辶
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lnountai11,and that thc hcig11t Oftl)cI11ot)ntaiF1is25kn1,rlnd1hc tc【
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IfwOr^k/icnrgaills qnucecsdtejdOnsb-r any qucstion it must bc shOˇ
Vith thc ans、ver~
O∏1ission Of csscntial xx`Orking、 v"l rcsuh in loss Ofrna`nf、ks~