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Dlrcrlorer CIP. Blbllot cll Nrtlotrrlcr Rolrhlel
CHIRAN.ROI'ICA
Mrtrmrtlcl ! culcgerepeltru cl €lel.[V / Rodic!
Chifsn," BuculrttirAramisPdnt,2006
ISBN(10)973-679.435-0i ISBN(13)978.9?3.679-435'3
5l(075.33X076)
R.drctor!Angglalla$
I,TP! DrsgofCuzubrn
ISBN(10)973-6?9435-0;ISBN(13)978-973.679435'3
CopyrightO2006Arrmlt Prht [r.1.to.tcd$ptulilarrzclvatc
Anmb Prltrtr.r.l,. Red.cth tt.edlul roclrl!
B.dulM€talurgieinI 45-56,cod041833,Boolor4,
Bucurarti,O.P.82- C.n38
tcl:(021)461.08.10i14/t5;fax:(021)461.08.09/19.
E-nsil officg@editur.Esmis,lo;omso@r&gapross.ro
Itoprdrmertulde.frcerr!tel:(021)461.08.08il2l13/16;
fax;(021)461.08.09/19;E-m.il: dasfrqerc@oditur88lEmis.lo
6. ,trtsl
-ru
-ru
Vm
^
-
numerele
effieffis
sffisffio
R
I I Fl
t4J ]-J
betigoarepentrurezolvare.
Comparinumereledinperechiledate9iscrlesemnulpotrivlt(<;=;>).
a)zffiz
4m8
sffis
uloflzffia c)10H8n8
Transcriegicompleteazdcasetelecunumerepotrivitepentruaobtinerelaglcorecte.
a)6.9 b)0.@ c)ffi3.2.W d)ffi'ffi'ffi|
zffi+ffie
rffirffio
c)gase;
ffi!.ffi!=ffi
ffi'ffi =EI
d)optsprezece.
I
1 ffi'z'ffi
4. m.8
ScriecucifrEnumerele:
a)doisprezece; b)Saptesprezecc;
Caresuntnumerele:
a)cuprinselntre119i18?
b)maimaridecAtT9icelmultegalecu13?
c)celputinegalecuI 9imaimicidecgt16?
d)celputinegalecu59icelmultegalecu17?
Noteazd:
a)toatenumereleparecuprinselntre3gi18;
b)toatenumereleimparecuprinselntre79i20.
Citenumerepareexlstllntrs09i20?Darimpare?
5
&ff=to
7 'Efi
mr
m.
7. Orddneazlnumsreledate:Orddneazenumsreledatg:
a)crgscdtor:19;1;0;'17;1017;2;'18t2;
b)descrescitor:0;19;1;11;5;12;4;7;18.
Noteazdr
a)num6rulnaturalparmaimaredecdt15,darmalmicdec0t17;
b)num6rulnaturalmaimicdec6t20,darmalmaredecit109icarearecifrazecilor
ceaaunititilor.
Descompunenumereledupimodelul
a)19; b)11; c)'t4; d)15; el7.
Scrietoatenumerelecuprlnselntre09120,formatecuclfrele:0;9;2;1;4.
Descoperiregula,apoladauglfiec6rulgirlnc6doudnumere:
al0;2t4; b)3;5;7;c)Tt10;13;d)19;17;15.
a)Estimeaz!num!ru1bilelor.
b)Verlficdprlnnumerare.
t.
CaresuntnumerElenaturale:
a)dela75la85? b)dela38la29?
Ordoneazddescrescitornumerele:56;7;47;74;981100;33;10;89;21;65.
Scrienumerele:
a)cuprinselntre77gi90; b)din2Tn2,dela76la96; c)din3ln3,dela75la95.
JrNoteazd:
..'a)toatenumerelenaturalededouAclftecareauacelagi,numdrdezecigideunit
.b)trOEtbnumerelenaturaledela0la50,careaucifiaunititilor3;
lg)toatbnumereleformatedinzecigiunitlti,scrisEcucifrele1;$ 79i9,'
..i:.- 6
c)mairnicideo€t14?
8. 26i Continuifiecaregircuinc6treinumere.
a)15;20;25;b)92;91;90;
c)21;24;27;d)58;52;46.
27I Descompuneinzeci9iunitdtinumerelereprezentate.
c3 a
.i.!
::""'
2gi lncercuiegtenumerelecaresuntmaiapropiatede20decatde30,
a)3;52;9;16;22; b34;28:23;29;32.
29ilCaresuntnumerelededouicifrecusumacifrelor7?
30i Catenumerededou6cifrenucontincifrele0;1;2?
31"icareestenumdruldedou6cifremaimaredec6t709icudiferentacifreloregalacuz?
32{ Careestenumdrulcelmaimaredinfiecaregrup?
a)35;39;36;31; b)19;91;1;9;90.
33$Descompunefiecaredintrenumerele40;20;10;60:
a)insumdde2termenidiferili; b)insumdde2termeniegali
34i Scrie,inordinecrescdtoare,toatenumerelededou6cifredistinctecaresepotformacucifrele1;4;7;5.
35* Careeste:
a)celmaimicnumdrnaturaldedoudcifrecarearecifraunitdtilor2?
b)celmaimarenumirnaturaldedoudcifrecarearecifrazecilor5?
c)celmaimic,respectivcelmaimare,numdrnaturalscriscudoudcifreconsecutive?
36-icompleteazdnumererecucifrepotrivitepentruaobtinereraliicorecte.
a) , 7>95 b) 1 <1 z.a-vl
1> 1
T
HA
ffia
1atft33 ftet3fr
SArtfl
10. CareestenumdrulcuounitatemaimicdecAt:
a)300? b)900? c)1000?
Careestecelmaimicnumdrscriscutreicifredistincte?Darcelmaimare?
,-f Scrieunnumdrmaimaredecat400si
maimicdecdt500,alecdruicifrereprezintd
numereconsecutive.
',.il Noteazenumerelecareindeplinesc,Tn
acelagitimp,conditiile:
a)suntscrisecutreicifre;
b)zecilegiunitdlilesuntreprezentatede
numereidentice;
- c)sumacifrelorfiecdruiaeste9;
d)cifrasuteloresteceamaimare.
Numerele
consecutivesunt
numerealcituratein
Sirul numerelor
naturale.
Exemplu:
l, 2, 3 sau 9, 8, 7.''l"t+.'**ggel
ldentificritreinumere a,b, c, formate
sute,zeci$iunitSli,gtiindcd:a>bgia<c.scrieacestenumereinordinecrescdtoare.
carenumerenaturare,cuprinseintre7s0gig00suntmaiapropiatede900decat7s0?
{ Precizeaziinumerelenaturalecuprinseintre200gi 300,cu cifraunitdlilor0, carerotunjescla300
fl intocuiegteliterelecucifrepotrivitepentruafaceadevaraterelaliiledate.
a)4[!=466 b)763>788 cl aoo>a90.
f ScrietoatenumerelemaimaridecAt110,darmaimicidec6t190,careaucifraunitatilorg
.fl cate numerede formaaG au sumacifreror12?scrieacestenumereincrescetoare.
'!il ,De^terminenumerereparemaimicidecat2oo,darmaimaridec6t100,careaucifrelor6.
| ,Scriecel
maimare,apoicermaimicnumdrcutreicifrediferite.Rotunjegteaceste
lasuteintregi.
f Aproximeazenumeretedate:
b)lazeci:431; 559;680;319.
I
il
din
il
a)lasute:658;790;546;419.
12. 1l Numdrd,apoiscrienumerele:
a) din2in 2,dela2790la2810;
1l ldentificdnumerelecarelipsescdinafirmaliiledemaijos.
a)3721estesituatintreI si[f . b)intre1705999ii--'l estesituat170600.
1fl Alegeaproximareacorectdpentrufiecarenumirdar.
a) 1300
b) 7700
c)12300
b)din3in3,dela3693la3714.
. 1000
. 6000
. 12000
. 3000
. 9000
. 13000
. 2000
. 8000
.14000
1fl Rotunjegtelasutedemiinumerele:1578 321; 864605:600265:749 2OO.
f{l Noteazecelmaimicnumdrnaturalde6cifredistincte,gtiindcdunadintreeleeste9.
2fl Careestecelmaimarenumdrdeforma89abcd,dacd:
a)a,b,c,dsuntnumerediferite?
Caresuntnumerele:
b)a,b,c,dsuntnumereegale?
a)cuprinseintre59989i5015?
b)pare,cuprinseintre149949i15016?
c)impare,cuprinseintre989969i99024?
fl Descompunenumereledatedupemodel.
4571=4000+500+70+1
.237231 .718501 .79007 .103904
2f Descompunenumereleurmdtoareinsumddeproduse,dupdmodeluldat.
.534003 .217200 .902117 .334195
{ Completeazdfiecaregircuinci treinumereconsecutive:
6802=6x1000+8x100+2
Q|ScriecAtemii,cAtesute9icitezecisuntcuprinseinnumere|e:26825:348156:702
.3108e7;3108e8;
[; f];[]; .138ee8;138eee;D
il
$ Compar6numereledinurmetoareleperechi9iscriesemnulcorespunz6tor.
a)936113f-l SSOZ,1S; b)2045241ZOAsZ;
573002i-l SZeOZO.
11
6824511 30245;
13. 27. Noteazdnumerelecelemaiapropiatede9381849i219482,formatenumaidin:
a)sute; b)mii.
ScriecAtemii,cAtesutegic6tezeciaunumerele:26825:348156;702428
Precizeaz1:
a)celmaimare,apoicelmaimicnumdrde6cifre,carearecifraunitdlilor2;
b)celmaimare,apoicelmaimicnumdrdegasecifreconsecutive.
Scrienumdrulcareindeplinegtecondiliileurmdtoare:
a)setermindcudouezerouri;
b)estecuprinsintreI 0009i9000;
c)sumacifrelorsaleeste17
Reprezintdnumerelesimbolizatemaijos,folosindegalitSliledate.
30.
31.
a)@@@@@@@@@@@@@@
AAAAAAAAAAAA
!n!
b)@@Ee@eaao0ec0s@
AAAAAAAAAAAA
32.,
33,
Creeazdungirdupdoreguleproprie,porninddelanumdrul1230.
Cenumeresuntreprezentatepefiecarenumdrdtoare?
34. Descompune,dupdmodeluldat,numerele5321;7750;B504;4 008;6926
3802=3000+800+2
=3x1000+8x100+2
Caresuntnumereledescompusemaijos?
b)9000+700+3
12
Sute Zeci Unitdti
T A @
a)6000+300+10+9 c)50000+1000+200+30+6
14. il compunenumerele.
a) 1000x 6 + 100x I + 10x 2 + 5
b)10000x3+9 x'1000+100x4+ 10x g+5
fl Completeazdgirurilecunumerelecarelipsesc,respectAndregula.
a)2ee6;il;2 ees;2eee;[']; b)1eeee7;[*];tsgggg;[-j.
lil Careestecelmaimarenumdrdecincicifrelacarecifraunitdtilordemiieste1?Dardacd
cifrelesuntdistincte?
il C.r" estecelmaimicnum6rdegasecifrelacarecifraunitdlilordemiieste6?Dardacd
cifrelesuntdistincte?
Ordoneazdnumereledate:
a)crescdtor:35;53;601;50O1;720;209901;
b)descrescitor:874;478;91007;87101;4 109.
Ordoneaz6crescdtorurmdtoarelenumerenaturale:
a)celmaimarenumirnaturalscriscu3cifre;
b)celmaimarenumdrnaturalscriscu4cifre;
c)celmaimarenumdrscriscu3cifrediferite;
d)celmaimicnumdrscriscu4cifre;
e)celmaimicnumdrscriscu5cifrediferite.
4il Scriecelmaimare,apoicelmaimicnumdrdeforma56&i-e,folosindcifrele: 1:2:3:0:5.
fl ldentificdnumdrulde4cifrecareindeplinegtesimultancondiliite:
a)cifrazecilorestede3orimaimaredec6tceaasutelor;
b)ciframiilorestede2orimaimaredecAtceaasutelor;
c)sumacifreloreste11.
Noteazd:
a)celmaimicaicelmaimarenumdrnaturaldegasecifrecarearecifra3latreiordine
b)celmaimaregicelmaimicnumdrparde6cifredistincte;
il Scriepatrunumerepareconsecutivedintrecareunuls6fie599998.Gdsestetoatesolutiile.
c)celmaimare,apoicelmaimicnumdrnaturalformatdinsasecifre,lacaresumacifrelor
sAfie27.
{il RotunlegteIazeci,lasute,respectiv,tamiinumerele:72986.,18391:423957.
,ll C" nrr"r" naturaleilpotinlocuipeainrela{ia:521<a<5372
a5
15. il precizeaziicaresuntcifrelecepotinlocuiliterele,astfelinc6trelaliilesdfieadevdrate'
3a245=36245 bc290<23290 603888>60d888
1;9;5,scrietoatenumereledecinci
4il Folosindo singurddatdfiecaredintrecifrele0;4;
cilredistinctecaresepotformacuaceslea'
d cur" estecelmaimaregicelmaimicnumSrnaturalparscriscuajutorula gase
consecutive?
5il Scrietreinumereconsecutive,dintrecareunulsdfie990999.Gesegtetoatesolutiile
Noteaza: , -==--
,i."lt"i micaicelmaimarenumirnaturaldeftornla3z-sg1-'
-Uj
cetmaimaregicelmaimicnumdrdeforma*9'.2"3'
c)celmaimaregicelmaimicnumdrdecifre'folosindosinguridatdcifrele0;1;5;6;
dPrecizeaz6c6tepatrunumereimparecuprinseintre1005209i100560careseestimea
a)100500;
5l Scriecinci
9 4889i 9 515'
10000.
b)100600.
numeresituateintre
carese rotunjescla ii titiitint I 7(; sa ctptaxttneu:ti
i;rlit r!r;r:t lu ll rl it'i!t'!'J:ttt:i
'o!,at'.)i!ilt'ti.:
iii) r-!ct'iil;!': 7l)
.r. .. .; !: ,..
.,!ll;:tr)i'lil 7'N r :: ltr:'
"
i i' t'' :'::t
i .tj'l:i !!i:;,i! !!! i:.
d S" d", numerele52a7869i527b83'
FGJcitreinloculliterelor,astfelincAt:
a) Primulnumdrsd fie maimare
decAtaldoilea;
b)aldoileasdfiemaimaredecAt
orimul.
Scriec6tetreisolutiiinfiecarecaz'
Sil oin cincinumerenaturaleconse-
iiTiu",
"r
treilea este 999 998'
Caresuntcelelalte?
Sil Careestecelmaimarenum6rnaturalscriscucincicifrediferite,dintrecaredouepare9i
doui imPare?
Sil DetermindnumereleurmStoare:
a)celmatnl"r",upo,
""i
,ui micnumdrdecincicifre,av6ndcifra7 laordinulzecilor9i0
laordinulunitAtilor;
b)celmaimare,apoicelmaimicnumdrscriscugasecifre'careare9peloculsutel
c)celmaimare,apotcelmaimicnumirscriscugasecifreconsecutive'
3-j*
16. Citr" romane
Scriecucifreromanenumerele:
.1;9;'lO;20;29;91;101;1997;3999;1595;99;49;190;501;999.
UtilizeazAcifrelearabepentrua scrienumerele:XIV;)(XXV;MCMXVI;MDIV;MMMVII
cxctx.
Scriecucifreromanenumerele:1;5;10;100;500;1000.
;fl Folosegtecifreleromanepentruascrielunagianulincaresuntem,lunagianulincare
ainiscut.
,.fl Ordoneazicrescdtornumerele:XX;L;Cl;XL;XIX;XXXIX;XVI|;C.
Folosegtecifreleromanepentrunumerele:103;195;259;145;309;1979;1982;2005.
Noteazdanuldeinceputgiceldesf6rgitpentrufiecaresecoldat:sec.V;sec.X;sec.
sec.XVlll;sec.XX.
Scriecucifrearabeaniiincareauavutlocevenimentelemenlionatemaijos.
. ColumbdescoperdAmerica.
. PetrachePoenarubreveteazdstiloul.
. RomAniadevineRegat.
.incepeRdzboiuldeIndependen!5.
. SeinfiptuiegteunireaMoldoveicuJaraRom6neascd.
.TransilvaniaseunegtecuRomAnia.
,il
il
{I Scriecucifreromanesecolul9imileniuldincarefacparteanii:1848;1998;2001.
Noteazdc6tmaimultenumere,folosindcelpulindoui cifreromane,fdrda lerepeta.
Scriecucifreromane:
a)1850-anulnagteriiluiMihaiEminescu.
b)1881-anulincares-anescutGeorgeEnescu.
c)2857- lungimeafluviuluiDundrea.
d)2544-in6ltimeavArfuluiMoldoveanu.
e)1918- unireaTransilvanieicuRomdnia.
15
MCDXCIL
MDCCCLXXIV
MDCCCLXXXI
MDCCCLXXVII
MDCCCLIX
MCMXVIII
17. Adun"t"" gi scidereanumerelordela0 la 10
Calculeaz6.
a)6+2
3+4
b)2+7-3
g+1-6
t *EI = e
fl *El= z
fl *n= s
[ *[=to
7+3
9-5
8-5+4
10-3+2
[- a-n=
10-g-E=
n-n- n=
tr-E- E=
s= e -fl
z=n- 5
I
3
?
2
7 -[= t
c)a+fl=g-fl
a*fl=s-fl
n-n *J=t
to=fl *
s =E*
2
5-3
4+6
3+3+
9-4 +
Completeazdexercitiilecutermeniicarelipsesc.
a) Z *E= g to-[=
E*s =g n- a=
2 *J *n=to s-n-
+
+
n
tr
n
tr
Careestenumdrulpotrivitpentrufiecaredintreegalitdtiledemaijos?
6-4
2+7
5+4-5
6-6+0
8+2
7-3
7 -6-',1
1+4+4
4
5
Q=
fl + a = s
[* z -E=a
tr-n - 4=2
n.n-E=o
n.D-fl=s
b)
c) z=10-[
g = 2 *n
a)3+f= 6 +n
5+3=[ + 2
Scrienumdrul:
a)cu4 maimaredecdt5;
Calculeazdsumanumerelordate.
a)39i6 b)79i3 c)1si0
b)9-s=[* z
10-3= 1 *[
3+4=o +[ 6+3=I -n 7-D=z*fl
b)cu4 maimicdecAt9.
d)2;5Si3 e)1;09i9
16
18. Calculeazidiferentanumerelordate.
a)89i6 b)109i6 c)79i7 d)10;2gi4 e)7;09i1
Micaoreazdcu3sumanumerelor7gi3.
Mdreqtediferentanumerelor10gi9cu1.
Lasumanumerelor59i0adundsumanumerelor19i3.
Dinsumanumerelor59i5scadediferenlanumerelor7gi2.
Transcrieapoicompleteazdcasetelecunumerelepotrivite.
7+1
>.<
I l-6
-z LI
3+2
ry
9-7
11*,-I1
Calculeazd9icompleteazdtabeluldat.
Afldtermeniinecunosculi.
a)2+ 5*@= 9
3+[+ 2 =19
4+3+ B= S
b)2
il
3
e)10
I
5
=$
=$
=10
c)7
6
8
* @* s
+ 1 +2
*E*g
= r*ffi|*E
il.n
2:+4
3+
ffi+
d)8-2-m=
10-3-m=
4
3
- 2 -fl= z Dtr- 2- 1=
- 1 - Eil=a ffi- o- !, =
-ffi-Efl=z
3
3
2
a b a+b .l a-b
,r,6 -r,3 6rf3=9 .6-3=3
b 4
3 1
7 2
a ,b zc a+b+c t €r*b-C
2 J .4 b+,0.+4 = 9 A+3-4=1
4 2 1
5 1 3
o 0 2
z-ffi-t =
t7
ffi- s- t..=
19. 10
9
I
7
o
5
4 9
2
1 z
0 10
+ 0 1 2 3 4 o 7 6 I flu 11 12 13 14 r5 16 17 18 19 2Q 21
Caredintrerelaliileurmdtoaresuntadevdrate9icaresuntfalse?
a) 5+5=3+7 b)0+9=9-9 c)8-0=0+8
3+4=9-2 4+4=4-4 6+3= 1+8
8-3=9-5 3+3=9-6 10-5=6-2
$tiindcda=4,b=2;c= 1,calculati:
a-(b+c); (a+b)-c.a+b+c; a-b;
Carepotfivalorileliterelora,b,cAtiindci satisfacrelatiileurmdtoare?
5<a<9 2<10-b<5 3=3+c<9
sumaatreinumereeste10.s6seaflefiecarenum6r,gtiindcdsumaprimelordoud
sumaultimeloreste4.
Cucatestemaimaresumanumerelor99i2decatsumanumerelor49i2?
Compuneoprobbmeincaresi folosegtinumerele7;19i2.
b)17-9 c)8+5
15-q 7+6
17-8 9+7
13-4 17+4
d)16-15
28-12
19-14
10- 8
e) 2+9-6
8+5-9
19+4-7
18+8-9
suma,dacauntermeneste6,iarcelSlalteste9.
'ermeniiuneiadundrisunt59i9.Aflasuma.
1a
Adrn.t.a glscidereanumerolornaturalodela0 la30
Efectueazdexercitiile.
a)7+ 3
14+ 2
9+ 0
14+15
20. Calculeaz6.
a)2+4+3
8+1+5
Afldsumanumerelordate.
a)49i8 b)l,79ie
Transcrie,apoicompleteazdcunumerelepotrivite.
a) 4+16-12 =a b) 3+17-8=n
b)7+6+2
2+9+4
=n 6+14-16=fl
=n 15+s- 7=fl
c)8,49i3
18+ 2- 5
7+ 13-17
d)19-14-n=z e)15-[- to=z
18- 2 -l=4
1s-!- t+ =t
17- 2 -l=2
14-[- tt =s
17+12=20+n 28-14=10+!
Scriesemnulderelaliepotrivit(<,=,>).
a)13+5n 16 bl17-4[ rs-S
11+6fl 1e 18-2fl2o-4
CompleteazicunlimerelepotriViteincasete.
c)29-13=10+!
27- 6=10+!
c)14+0[ ts*o
16+181+18
29-!+!=12
c)6+4 *n=tA
s+!+[=16
d)3;79i
c)20-14+Q=n
30-1s+13=n
go-19+14=[
020-3 -n=+
20-1s-n= Z
2o-fl-n= tt
Scrienumdrul30casumdadoudnilmereimpare.Gdsegtemaimultesolutii.
Cenumerelipsescdinegalitaliledate?
a)14+5=10+fl b)19- 5=10+[
a)l'l+!+[=19 b)6+4+7 =n c)28-[-[=11
1t+ 1 +[=29 10+fl+!= 3e
21. i1
I I 1..9..6,;f',''
!l Ancaavea7baloanerogii9ialbastre'3baloanes-auspart'
-r - Dincelerdmase,c6tepotfirogiigicdtealbastre?
I AncaaveaTbaloaner
Efectueazdexerciliile9iverificdrezultatulprinoperaliainversa'
a +.g b)il i9 c)18- 7 d)2+ 8 + 7
6+4 18+1 17-6 12+J+f-ta
2g-5 25+3 22- O 14+ 5 - E-to
14-8
18-5- 8
16+7-2
30-7-9
29- 3+ 5
20+10-10
I il nnauntermenaladundrii,gtiindc6sumaeste26,iarceldlalttermeneste7.
Careestescdzdtorul,gtiindcddescizutuleste24,iarrestuleste10?
Completeazdcunumerelepotrivite.
Termen 13 J
Termen 4 7
Suma 19 18
Afl5numerelecare,adunatecu12,dausumemaimicidecAt17'
sumaadou6numereesteI 0,iardiferenlaloreste4.AflanumereleprinincercSri.
Cemingisepotaruncaincogpentruaoblineunpunctajsituatintre20gi30?
Descdzutuleste169iscizdtoruleste7'Afldrestul.
Aflddiferenladintresuma9idiferenlafiecdreiperechidenumeredate'
a)89i4 b)15Si7 c)129i3
2A
Descdzut 19 15
Scdzdtor 4 o
Rest 10 11
il
il
il
{
il
17-[- J=tz
13+[- z ='to
Calculeaz6:
a)sumanumerelor249i4; b)diferentanumerelor299i8.
dl inlocuiegtefiecareliteri cunumerepotrivitepentruafaceadev6raterelaliile'Gisegtecdt
maimultesolulii.
b17-b> 14 c)n +11< 19 d)c-2 <16a)12+a< 18
Careestenumerul:
a)cu5maimaredecit2l? b)cu6maimicdecAt29?
22. 'fiF
ldentificd:
a)numerelecu7maimicidecAt:16;11:14; 12;13;1S:
b)numerelecu8maimaridec6t9;6;4;5;B;
c)unnumdrcu11maimicdec6tsumanumerelorggi7.
fl Sumaadoudnumereimpareeste10.Carepotfinumerele?
fl ldentificdnumeredinconcentrul0-30pentruinegatitdlilede maijos.Gdsegtec6tmai
multesolutii.
a)i--.,_]* b)I-'s c)f *l-l *i-l.zo
{ lf
numdrului13.
6l Dinsumanumerelor99i5,scadediferenlanumerelor129i3.
il Compuneoproblemddup6exerciliul:15-9=?
completeazdoperaliilecunumerecelmultegalecu20,pentruaechilibrabalanlere.
il Cri.tinu
"re
11ilustrate,iarAndacu4maimult.
Dec6teilustratemaiarenevoieAndapentruaavea30?
f, Dupeceam6ncat5mere,Alinardmascu8.
CAtemereerauinfructierS?
'$I Aflenumerulcu19maimaredecdtdiferenlanumerelor79i2.
il Sumaadoudnumerepareeste10.Carepotfiacestenumere?
<'10
folosinddescompunerea
-*1
f--lt-__J
1q
<14
<5+2
fl oouanumereau suma
- < 10
gi diferenta5.
l
Afta numerele,
n-r"l
il ce numereadunatecu8dausumamaimic6decat15?cdsegtetoateposibilitdlile.
fl Cenumereadunatecu5dausumelecuprinseintre:
a)129i17? b)159i20? c)99i14?
ce numdrtrebuiead6ugatlasumanumerelor49i9pentruaseoblinenumdrul30?
Scrieexercitiicareaurezultatul:
c)19.
2a
il
dl
a)20; b)30;
23. Calculeazd.
a)20+30 b)60+20
40+30 50+50
unareaSiscedcreanumerelornaturaledela0 la
c)20+30+40
10+ 0+70
ilibreazibalantalCreeaziexercilii,folosindnumereledepejetoane.
@ @ t-GD-l
ra
LlE=-
@ ae "@
---A
22
Ech
@
d) 90-40-20
100-50+30
Sumaadoudnumereeste70.Unuldintretermenieste20.Afli celSlalttermen.
Scrieoperatiilecorespunzdtoaredesenului.
',,1 Lasumanumerelor30gi20,adaugidiferenlanumerelor909i50.
,ll Afldnumerele:
a)cu20maimaridecdt20;40;50;30;
b)cu20maimicidecdt:80;70;50;90;
dl $t"f"n
"
plantat,impreundcubuniculsdu,10crizanteme,narcisecu20maimult,iarlal
catcrizantemeginarciselaunloc.
CAtenarciseaplantat?Darlalele?
fl ldentificiinconcentrul0-100termeni
[* [ =zo _l * lj >ao
fj- I =oo 1-l - [*l <zo
I Completeazd.
EE
potrivilipentruurn
[]*[=so
[-I=zo
pentruurm6toareleexpresiimatematice.
a b c a+b+c
10 20 30
30 10 40
50 ZU 20
a b a-b+c
50 20 40
60 30 20
70 40 10
24. Calculeazd,apoicompleteazdtabelele.
n+'10 n-10 n n+20 n-20
50 '40 20
30
40 50
Caresuntnumerelecu30maimicidecAt40;360;90;50?
lnlivadisunt50depomifructiferi.30suntmeri,iarrestulperi.CAtiperisuntinlivad6?
lntr-unparcsunt10plopi,4dAecastbnigi20destejari.CAlicopacisuntlnparc?
:
Anaiid6ruie9teMariei30detimbredincolectiasa9ltimairdmAn40.CAtetimbreaavutA
Calculeazd.
a ..20 60 10 40 5_A 30
.a-+'20 40
--a-+"30 50
Compunecateoproblemddupdfiecareexpresie.
a)30+20=? b)90-30=?
Completeazdexercitiilecunumerecorespgnzdtoare.
100-50-?>30 10+80-?=150 90_?_S0<30 ?+10+S0=
Calculeazd.
a)9- 3
90-30
8-5
80-50
Calculeazd:
a)40+ 5=?
6+20=?
b)20+? =27
3+ ? =45
c)85- 5=?
68- 8=?
b)80- 3
60+40
90- 10
70-50
c)90-20- 10
40+10+20
80-30-40
90-60-10
d)100-20+10-60
30+30-20+10.
60-40-10+50
70-20-20- 0
4+70=?
8+30=?
60+ ?=69
10+ ?+40=58
63- ? =60
37=30+?
7+70=?
60+ 3=?
63- 3=?
79-70=?
30+ 7 =?
6+50=?
80+ ?=88 30+?+ ? =39
?+ 2=97 ?+ ?160=,67
89-80F?
46- 6F?
23
26. I Completeazdcasetelelibere.
'|
Bunicaaadunatincog31ouedegAindgi24ouddera!d.
Cdteoudaadunatbunica?
jf Formuleazioproblemddupdexpresia:50+9.
N Dinsumanumerelor189i70scadediferenlanumerelor70gi30.
I intr-uncogsunt5Tdefructe:20demere,7gutuigirestulpere.
Cdteperesunt?
I Oincei28 de elevidintr-oclasd,'15suntbdieli.Formuleazdintrebarea,apoi
problema.
I Cristinaaeconomisit?ntr-ozi5lei,iarinziuaurmdtoarecu7leimaimult.
CatileiaeconomisitCristina?
"f Silviuvreas5-gicumpereunpenarde8lei,dararenumai5lei.
C6!ileiiimaitrebuie?
Erau b6
Au plecat
Rdmdn OU
il
I
36+40
9+28
17+18
17+ 7
88-32
15+24
,if RRa:
a)sumanumerelor:24gi32;34gi15;
b)diferenlanumerelor:879i56;299i10.
25
fl Compuneproblemefolosinddateledinfiecaretabe..
Erau JU
Maivin 4
Sunt
57-19
78-46
Scriecasumddetreitermenifiecarenumdr:29:57:.78.
Transcrienumaiexerciliilealecdrorrezultatesuntcuprinseintre30si40.
28. 5fl Efectueazi,apoiverificdrezultatele.
i- st
+--
:- s{
il CalculeazS.
a)307+509
117+287
457+498
a)330+270
580+220
Afl5numdrul:
a)cu15maimicdecAt52:
Lasumanumerelor369i17adunddiferentalor.
Dinsumanumerelor429i25scadediferenlalor.
Afl5numerelecu578maimaridecdt:247:398:555.
Efectueaz6.
a)405+126+294 b)264+145+187 c)392+216+157
198+165+136 176+268+324 257+ 179+198
Schimbiordineatermenilorpentruacalculamairapid.
a)340+ 114+'160 b)385+210+415 c)155+130+345+ 170
Afldunnumdrcu15maimaredecAtsumanumerelor153;97gi369.
Aproximeazdrezultatele,apoiverificdprincalcul.
+
a)11- 7
32-17
84-39
b)36- e
72+18
ou -r+o
c)57-17
42- 5
36+16
d)86-57+24
76-29+38
93-48+27
e)24+35-14
92- 58- 17
36-15-'16
b)cu28maimaredecdt17.
s!x
g
:g
il
il
fl
{
c)263+284
342+475
251+368
c)503+387
436+212
d)388+357
526+384
234+786
d)703-599+ 305
299+485-104
6fl Aflanumerulcu9maimicdec6tdiferenlanumerelor739i17.
6S t-ao crescdtoriesunt52deiepurialbi,cu 17maipuliniiepurigri,iarcafeniicu25 mai
pulinidecdtceialbi9igrilaunloc.
C6tiiepurisuntincrescdtorie?
Adrn"ru" qi scddereanumerelornatural€de la 0 la I OffS
b)240+578
475+389
564+276
b) 118+ 42O
572+131
Scrienumerelecu68maimaridec6t:189;306;532;707:194;168.
Afl6prinadunare:
a)dublulnumdrului276; b)triplulnumdrului109.
27
29. Adrianaacitittreicd(i.
CAtepaginia cititin total?
r
I 270pagini
I
8.568pagini C.578pagini
1fl Folosegtetabelulpentrurezolvareaproblemei.
Carmenaservitlacindo pizza,o salatddefructegio ceagcidelapte.
Alimente Calorii
o po4ie 345
Salatddefructe o potie
Suc o ceagca 120
Lapte o ceascd "t50
PAine 120
D.668pagini
.i+
CAtecaloriiconlinin totalalimenteleconsumatedeCarmen?
1S Calculeazdgiverificdprinoperaliainversd.
a322-184 900-382 b)600-419 367-'198 c)536+193 l$$+764
b)920- 387
780- 510
c)690- 2,|0- 180
837-189-315
1ff Completeazitabelele.
b 31 80 147 622
431-b
1d Estimeazdrezultatuloperaliilordate,apoiverificdprincalcul.
a)380-170
530- 120
tfl la o flordrieerau800defiredegaroafe.Dintreacesteas-auvAndutdimineald296,iar
duod-amiazd24B.
CAtefiredegaroafeaurdmasnevAnduie?
1f, Unautomobilistaparcurs328dekilometri.
CAtikilometrimaiaredeparcurs,dacdtotdrumulare650dekm?
intr-osalSdespectacolsunt875delocuri.Laspectacolauvenit759depersoane.
Cdtelocuriauremasneocupate?
1fl Scadenumdrul285din:324;813;654;804;510.
1ff Aflatermenulnecunoscut.
a314-112+a= 435
425+126+b=900
b)624-c+123=354
521-d+222=729
c)943-e+273=
375+136+f=1
852
000
1S CucAtestemaimaresumanumerelor4249i194dec6tdiferenlalor?
2A
30. - il intreicogurisuntgSdepere.
C6teperesuntin fiecarecog,dacdin primul9iin al doileasunt55depere,iarin al doilea
siinaltreileasunt60?
il Efectueazd.
a)97-(24+31)
(87-54)+28
(28+61)-59
fi Calculeaze.
a)372+165
186+491
509+423
b)38+(76- 58)
(35+29)-16
100-(37+28)
b)437+ 104
691+134
876+125
c)19+(88-69)
e3-(72-'t3)
(48+36)-57
c)305+348
218+329
345+ 39
d)(68+ 19)- 36
48+(98_59)
100-(39+39)
d) 129+(517-348)
349- 134+642
832- 454-299
d)347+195
484+367
i[ Aflenumerelecu74maimaridec6t:62;171; 285;384.
il Careestesumadintre62gidiferenlanumerelorTB2gi311?
fl Num6rul63estejumdtateaunuinumdr.Careesteacelnumir?
'fl Afl6sumanumerelordate.
a)8699i9 b)1849i43 c)3769i152
"fl Afl6sumadintrecelmaimarenumdrscriscutreicifre9icelmaimicnumdrscriscutreicifre.
,il Launfast-foods-auconsumatintr-ozi38kgdecartofi,iaradouazis-auconsumatcu19
kgmaimult.
Cecantitatedecartofiardmasindepozitgtiindcdlainceputaufost100kgdecartofi?
Efectueazdadundrile,apoiverificdschimbandordineatermenilor.
a)730+191
658+49
a)389-170
327- 83
b)428+282
745+ 139
c)128+276
583+272
d)756- 48-154
900-319-165
,fl Careestenumdrulcu102maimaredecdtsumanumerelor3199i391?
fl Ofamilieaculesintreizile315kgdefructedepddure.
$tiindcdinprimaziacu|es45kg,iaradouazi87kg,aflaticAtekgdefructeacu|esatre
'il S" daunumerele:251;114;316;375;142:527. Calculeazdsumanumerelorpare,apoi
sumacelorimpare.
trtr Calculeazd,apoiverific6prinadunare.
b)568- 90
427-136
c)205-63
526-74
29
31. Careestenumdrul:
a)cu47maimicdecAt23B?b)cu165maimicdec1t457?
3d Aflesumagidiferenlanumerelordate'
a)2249i70 b)4369i93
3d CucAtestemaimare517decAtT9;34;162:143?
3d Rft6numdrulnecunoscut.
3S Sumaatreinumereeste969.Primulnumdreste117,iaraldoilea,129.Afldaltreileanumdr'
4d Sumaatreinumereeste751.Sumaprimelordoudeste394,
575.AflSceletreinumere.
4# Sumaatreitermenieste983.Primiidoitermeniausuma754.Aldoileatermenestemai -------
maredecAtaltreileacu211.Aflatifiecaretermen.
49$ Sumaa patrunumereeste't 000.Primuleste375,al doileaestecu96 maimicdecAt
orimulnumdr,altreileaestecu280maimicdecitsumaprimelordoue' -
AflSalpatruleatermen.
4d Rflenumerulcu124maimaredecAt653.
4d Calculeazdsumanumerelordinperechiledate.
a2759i214 b)2159i342
Efectueazd.
a)231+ 112+346
c)117+219+ 114+ 125
4S lnlocuilistelulelecucifrelecorespunz6toarepentrucaegalitatea-38.+_'74 +-4*2- 76 sd
fieadevdratd.Existdmaimultesolutii?
4S Untermenaladundriieste2'13,iaraldoileaestecu26maimare.Careestesuma?
4{${Delaoserds-audistribuitdimineata392margarete,iardupd-amiazdcu198maimulte.
AflalicAtemargareteaurdmas,gtiindci numdrulacestoraestecu112maimaredec6tal
c)3459i178
iarsumaultimelordoui este
4ff Calculeazi.
a)231+(978-726)
999-(197+309)
876-(121+ 437)
b)(793-562)+474
(286+485)-475
B7s-(450-177)
c)107+(788-499)
(900-576)+294
(507+418)- 646
c)5239i352
b)312+125+230
d) 92+ 109+237+ 148
margaretelorvandute.
5S
32. t,,.;*1,ii'1$:iii{'f4. vt+,
j.4li:ra'fr , :i:
ffi Lamuzeuldeistorieaufost230devizitatoriinlunaiunie,iarinlunaiulieaufostcu207maimult.ffi Lamuzeuldeistorieaufost230devizitatoriinlunaiunie,iarinlunaiulieaufostcu207maimult.
C6livizitatoriaufostintotalinceledoudluni? , f
5fi Calculeaz5,apoicompleteazScasetelecuunuldintresemnele<,>,=. ..ri
a)134+245: :SZS+ZZ+ b)344+123i .'233+346 ,,.:1
34s+221;''!+sg*to+ 124+241i"*r443+303 =:
5fl Efectueazdexerciliilefolosinddescompunereanumerelor. ,,,-,-:--
a) 47+22 b)203+'162+234 c)132+24+23+120 :.
Sfl Calculeazd. r.
a)745-102 b)672-330 c)996-543 d)345-222 .:---'-
598-165 574-331 484-103 376-135
5{ Careestenumdrulcu102maimicdecAtdiferenladintre9879i632?
sfr Adrianacitit135depaginidintr-ocartede378depagini.
CAtepaginimaiaredecitit?
5fl CalculeazS.
a124+245-154
5il Rfleoiferenlanumerelordate.
a)7159i203
d Sumaadoudnumereeste752,iarunuldintrenumereeste211.Careesteceldlaltnumdr?
Sfl Cenumdrtrebuieadunatcu59pentruaobline499?
6fl Afl6numerelenecunoscute.
6fi Dindiferenlanumerelor9559i41'1,scadenumerul322.
6fi DupdceiiddAna24Tdecuburi,MarieiiirimAnl52decuburi.CAtecuburiaavutMaria?,--
6fl lntr-otabdrdsunt337deelevi,iarin altasuntcu 112maipulin.FormuleazdintreOeri:,.i-
potrivite,astfelcaproblemasdserezolve:
a)numaiprinscddere; b)prinscddere9iadunare.
ffi Compuneexerciliideadunaregisciderefolosindcatermeninumereledepejetoane.
MM R3
ffitM
b)975-643+124
b)8449i213
c)465+433-472
c)9989i777
1
33. 'ilc"ilr;;;t;;ffim
CalculeazS.
a)324+245-236
365+312-475
+ 225 226 ,,?27
128 353
129
130
b)875-653+ 111
956-543+426
Lasumanumerelor169gi97,adunddiferentalor.
75- b= 98
b-134=707
Completeazdcasetelecuunuldintresemnele,,+,,sau..
a)125n4s6=581
c)105+105+t05
319+319+319
,JI Dindiferenlanumereror763gi10gscadedubrurnumdrurui100.
Mdgdndesclaunnumdr,iladuncu369ioblin904.Lacenum6rm_amgdndit?
Cenumdrtrebuieadunatcu5gpentruaobline327?
sumaadoudnumereeste6'12,iarunurdintrenumereeste195.careestecererart
Mdg'ndesclaunnumir,scad19gdinel9ioblin132.Lacenum6rm_amgdndit?
Descdzutuleste4g5,iardiferenlaeste1g6.Careestescdzdtorul?
Cenumdrtrebuiescdzutdin51gpentruaobline170?
Afldvaloareatermenuluinecunoscut.
:il
:il
il
,il
-,t&r
70+ a=1g5
a +37= 95
c- 135=605
436- c =14g
- pentruaoblineegalitdli.
Cenumeremaimaridec6t2g5,scdzutedin339,daurestulcuprinsintre509i60?
Aflddoudnumeregtiindcdsumaloreste400iardiferenla300.
inlocuiegtestelulelecucifrepotrivite.
b)903n794=109
7**-
+o
d
32
2*7-
6*
*75
-5- -
Fo--
*28+
4**
6?0-'
"F-f
8 F;+67
'?.+
154
284
758
34. I Efectueaz5.
a)175+582 b)569+168 c)272+495 d)358+389 e)457+320
. Ordoneaz6crescdtorrezultatele.
. Completeazdgiruloblinutcuincd3numerepotrivite.
il t-" un magazindejucdriis-auadus1 000dejucdrii.Dintreacestea,228sunt
mingisuntcu110maipuline,ursuleticu215maimultidecAtmingi,iarrestul,avioane.
intrebareagirezolvdproblema.
il Dincei989|delapteadugilamagazinulalimentar,s-auv6ndutdimineala345l,iardu
amiazdcu148|maimult.
CA{ilitridelapteaurdmasnevAnduti? A
f Calicopacis-auplantatinfiecareparcgtiindcdfiecare? reprezintaZ0decopaci?
'l tat5catevadintreactivitSlilepreferatealecopiilordinclasaa lll-a.
10-
8-
6-
+'
0
CiclismPlimbareAlergarePatinaj not
a) Careestediferenladintrenumdrulcopiilorcareprefer6ciclismulgiceicare
patinajul?
b)Carevariantdaratdnum6rulelevilorcarepracticdciclismul,alergareagiinotul?
A g+4+6
B 8+4+4
il t-" o fermdsunt1 000de animale.Oi 9ivacisunt748,iarvacigivileisunt544.
animalesuntdefiecarefel?
33
C 6+6+6
D g+4+g
36. il
Afldcenumdrtrebuiesi adunicu846pentruaobtine:
a)l 050; b)1769: c)9000; d)1001.
a)2205: b)1097; c)3301; d)2009.
M-amgAnditlaunnum6r,apoilaaltul,cu267maimare,giamobtinut6341.
Lacenumdrm-amgandit?
Caresuntnumerelecarelipsesc?
1912+ - 875
6925- 2908+
Scrietoatenumerelecepotinlocuilitereleagib pentrucarelaliiledemaijossdfiecorecte.
a)8997+a<9002 b)6550<6556-b c)3921+c<3928
- 297
3802+
,,,,-
7 200
b)6204- 2200-3000
2845- 820+2400
7500-(1250-1250
5780-(1075+2750)
il intr-ofloririe s-au adusintr-ozi 600 de garoafe,cu 147mai mullitrandafiri,
crizanteme,cu68maipulinedecdtgaroafegitrandafirilaunloc.
CAtefloris-auadusintotal?
:-"
,il t-"o staliedebenzinds-auvAndut5 500|debenzind,motorini,cu3000| maipulin,iar "-. .
ulei,cu1500|maipulindec6tmotorind. '
CAlilitrideuleis-auv6ndut?
',.,-rl
I Creeazdoproblemddupdformula@E
+-
35 ;1
.:i_
il f-" o cresc6toriesunt1 242depuigorigicu459maipulinibobocidera!i. Formuleazd::
intrebdri,astfe|incAtprob|emas5serezo|veprin:
a)scidere;
b)scdderegiadunare.
fl Descdzutuleste4639,iarscdzbtorulestecu1439maimicdec6tdescdzutul.Careestel
diferen!a?
fl Sumaa treinumereeste8 719"Primulnumdreste1 135,iaraldoilea,cu'190mai
decAtprimul.Afldnumerele.
fl EfectueazS,respectdndordineaoperaliilor.
al 412+2504+382
1235+ 705-845
933+(455+ 148)
1187+(870_230)
37. I Afl6terr"nrl necunoscut.
a)3407+(5966-x)=6071 b)x-(7800-29751=3977 c)859+5340-x=21
fl Scriecelmaimare,apoicelmaimicnumdrde4cifrefolosindcAteo singurddatd
3;1;09i2.Afldsumanumereloroblinute.
Compardrezultateleexercitiilor.
a)6875- 1312L)2500+ 1342 b)2309+2 117L)58O4-3 402
9756-382L_I1OO1+1321 4832+ 72318888-3333
dF inlocuiegtestelu!elecucifrelecorepsunzdtoare.
328*+
-7-4
" 046
Calculeazd.
a) 1359+
176
b) 7805-
2 976
I6-8-
6123
93*1-
187*
**58
900900-
173406
1000000-
37601
707138+
9 999
1 000000-
999909
Afl6valoareafiecdruitermennecunoscut.
a+141159=647524 731532+y=467263 x-1375't2=356'13
'{I
Lacelmaimarenumdrnaturaldecincicifre,adundcelmaimicnumirde6 cifre9i,
sumd,scadecelmaimicnumdrde4cifrediferite.
:fl Sumaa treinumereeste276178.Sumaprimelordoudnumereeste238630,iarsu
ultimelordoud77746.AflSnumerele.
fl Din.ur" numerelor276379i8032,scadediferenlalor.
,fl Srmaa treinumereeste1 000000.Primulnumdreste'199109,iaral doileaeste
508maimaredecAtprimulnumir.Afl6altreileanumdr.
,.fl Sumaa treinumereeste16600.Primulnumdreste6 133,aldoileaestecu 1 233
maredecAtorimul.
Careestealtreileanumdr?
36
Adun"r"" gi scddereanumerelornaturalede ta0 la 1 0000
7258+
13677
543002 -
178432
197145+
12332
743925+
278156
38. I Determindnumdrula,gtiind cdb=32704+17195.c =b- 19276,iara- b- c = 102107.
I Descdzutuleste340895,restuleste27638.Afldscdzdtorul.
I Scezetoruleste345196,iarrestul,104780.Careestedescdzutul?
I Diferenlaeste1413029idescdzutul706907.Careestescdzdtorul?
I intr-obibliotecdsunt10000devolume.Dintreacestea,4 104suntdeprozdliterar5,cu
1998maiputinevolumesuntdeversuri,iarrestulsuntcd4idegtiinp.
C6teci(ide gtiintdsuntinbibliotecd?
N Aftitermenulnecunoscut.
a 73632- x= 26479
c) n-14387= 26985
il Aflanumarulnecunoscut.
a)23117+x+ 7698=118203
c)x +73399- 15618=430084
I Creeazdoproblemddupiformuladat6.
x + 13680
50000-
12744
I Completeazdtabelul.
b) 9795-(989+2563)
d)100000- (39999- 12775)
b)900000-Y= 24921
d) 82505+m=190000
b)98911-18937-x=7498
d)54627- 8978-x=23398
-2880
15000-
7 325
fl Calculeazdpentruaaflatermenulnecunoscut.
a)a+(917-588)=13204
c)(100632-67 047)-c=294976
fl Lacelmaimarenumdrnaturalde5cifre,adundcelmaimicnumdrde6cifre9i,dinsumd,
scadecelmaimicnumdrde5cifre,incareserepetide5oricifraT.
Sumaatreinumereeste217385.Sumaprimelordoudeste108000,iarsumaultimelor
bX159340+3 108)-b= 76435
d)d- (16794+53407)=397963
I CalculeazS.
a) 63705+(87165-32412)
c)185635+(76762- 45321)
b a-o a-c (a-b)+s
5 489 3 198 2 453
84 520 47 313 31999
53169 32505 1 847
este154385.Afl6celetreinumere.
37
39. fl EfectueazS.
a)(148234+ 5642)- (14693+3695)
b)130000- (385137- 96468+4975)
c)3974+(700000-419 176+ 154869)
.8 3*8-
.89._
1B,,86
c)36597+ 13401
34703+ 16299
6000'.04-
1.6 80-
'' ',9- 5',0
:
+
+
----*
-+
-+
*
+
I CalculeazdprinadunarerepetatS.
a)g + I + 9 + 9+9
7+ 7 + 7 + 7
I Scrieoperaliadeadunaredetermeniegalipentrufiecareaxddatd.
b)11+11+11+11
5+ 5+ 5+ 5+5+5
uil Compunec6teoproblemdfolosindformuleledate.
a)a+b+c b)a-b-c c)58600+(58600- 13278)
fl intr-undepoziterau27000kgdeciment,23000kgvargi 15000kgdeipsos.Pentru
construcliis-auscosdiminealacAte5 500kg dinfiecarematerialde construclie,iardupd
amiazdc6te3000dekgdinfiecare.
CAtekgaurimasindepozitdinfiecarematerial?
Delaotipografies-autrimissprelibrdriicaiete,dupdcumprezintitabeluldemaijos.
Aflatinumiruldecaietetrimise.
Tioulcaietelor Luni Marli Miercuri Total
Caietedelimbarom6nd 6 432 2 859 2 495
Caietegtiinte 3199 4 068 1 876
Caietematematice 2 065 1942 3134
Totalcaiete
?{il Aproximeazdconvenabilunuldintretermeni,apoicalculeaz6.
a)42399+1500 b)27901-18370
56382+9998 59299-45104
{ inlocuiegtestelutelecunumerelecorespunzdtoare.
B" .26+
28 83-
"4 3-4
I
Inmulfireanumerelornaturalede la 0 la 100
c)12+12+12+12
15+15+15+15
14 15 16 17 18 19 202 3 4 5 6 7 8 910 11 12 13
58
40. Calculeazd,prinadunarerepetatd.
a)3x 2 b)4x 9
7x5 8x5
6x6 7x9
4x6 5x3
Afld produsulfacto.1il_gr.,
a)2+2+2+2+2+2
4+4+4
9+3+3+3+3+3
5+5+5
b)7+7+7
6+6+6+6+6
4+4+4+4+4
9+9+9
c)7x4
4x7
9x 5
8x3
q)3x9
9x9
, 4x3
6x 3
b)4x69i3x8
/x49i9x8
b)5x7+47
9x 8-38
4x2x8-25
c)8+8+8+8+8+8
9+9+9+9+9+9
4+4+4+4+4+ 4
2+2+2+2
d) 3x 3
10x2
5x5
T:7
e)2x 1
6x 7
3x8
9x2
a)2x4
6x3
5x4
9x4
a)9x39i6x9
7x3Si5x7
Calculeaz6.
a)6x4+27
9x 4-21
5x2x7 + 12
b)5 x *6- , d)10r<10
9x 10
. 9x2
5,( 3
e)2x6
7xB
9x8
7x5
c)5x39i5x6
9x9gi8x8
7x3
.1.. 5xB
8x8
Scr:fpga.sumddgtermeniegalinumerele:8,6;10;12:2Q;18,Gisegt9maimultesolutii.
$rupeazdfactoriipentruacalculargpid.
f)5x3x2 b)'5xi7"v2 c)9x3x1 d)4xBx2
:.216x4i 642 3x7x'2 gx{x2
8x5x2 9r2x3 9x4x2 7x2xs
Compar6produsele.
c)6x4+38
5x 9-29
3x3x8+59
d)Bx 8- 19
9x 9-45
4x2x3-17
Scrienumerele:
a)de6orimaimaridecat:10;8;6;5;1;9;7;4.
b)cu9maimaridecAt:9;10;8;61;94;3;0.
c)cu8maimicidecdt71;9;31;100;63;42;8.
a)dublulnumerelorT;6;2;5; b)triplulnumerelor:8;4;3;10.
Scriecarepotfinumerele,daceprodusulloreste:a)40;b)12;c)18;d)20.
39
44. +
'il DecAteorisepoatescddeaBdin40,pentrucaultimutrests6fie0?
:il RftdCecateorisepotluacAte7meredintr-uncoscu:
a)21mere; b)35mere; c)6i mere.
Scrienumdrul18casum6determeniegali.Gesegtetoatesolutiile.
il nna,prinscidererepetatd,decAteorisecuprinde6in 24;12: 42:54.
Dinnumdrur12,scaderepetataceraginumdrpandobliirestur0. Gdsegtecat
Itesolutii.
Scriedec6teorisecuprinde:
iil
mu
a)2in14; b)3in24; c)2in18; d)4in28.
{$f Rlalumatateafiecdruinumdrdat:10;20;14:12:8.
f=y::1,*
are27debomboane,pecareteimparteunorcotegi.Eaddc6te9 bomboane
Ttecaruta.
CAticolegivorputeaprimibomboane?
fl intr-ocutie,bomboaneresuntagezatec6teg pe3 r6nduri.Doifrali?9iimpartin modegaltoatebomboanele.
CAtebomboanevaaveafiecare?
fl Deimpd4ituleste28,iarimpd(itorul4.Careestecatut?
La-oimpd(ire,impdditorureste3,iarcaturestede2orimarmaredecatimpd(iorur.caredeimpdr[itul?
Scrieunexerciliuincarenumdrul6sdfie:
a;produsuladou6numere; b)c6tuladoudnumere.
dl
este
f,
fl Catebuchetea5florisepotfacedin35de garoate?
fl imp6rlitorureste2gicaturesteunnumdrde3orimaimare.careestedeimpd(itur?
fl Lacenumdrsepoateimpdrli63,pentruaoblineunc6tcuprinsintre5sig?
fl Corpun" oproblemdcareserezolvdprinexercitiul14:2.
fl Carenumeresunt:
a)deTorimaimaridec6t:1;O:7:9?
b)de6orimaimicidec6t:1g:12:4g?
fl ce numdrseoblinedacdseadundunsfertdinnumdrur32cudoudjumdtdJidinnumdrur1g?
43
45. # pentrua participalaunconcurssportiv,s-auinscris20debSieli9i10fete'Eleviiaufost
ffia4[iin grrpedecate5elevi.C6tegrupes-auformat?
a)15:3x4 b)18:6x 3
20'.2x3 27'.3x 2
8x5 :4 25:5x 8
36:4x8 40:5x 9
56:7x8 24'.6x10
c)12:3x4 d)3x8:4 e)4x10:5
24'.3x5 3x5:5 35: 5x2
63:7x7 49:7x6 36 : 4 :9
24:3:3 42:7x5 24 : 4:3
28:7:2 81:9:3 64"8:2
c)6s:eIs+:o
+o:zf +e:o
d)unprodus.
1S DinprodusulnumerelorTgiS,scadecdtulnumerelor35gi5'
2i€ Lac6tulnumerelor289i4,adaugaprodusulnumerelor4gi9'
26SCompardcAturileimpdrfirilor'
a)e:q]tz:z b)273n2814
zt:+['z+:s 20:5[20:4
d Scrienumdrul10ca:
a)uncAt; b)odiferenti; c)osumd;
$ Aflesfertulproduselordintreperechiled-enumeredate'
*
;t;;i; b)4ei8 c)3ei8 d)4si1o e)79i9
3$ LaoimpS4ire,impa(itoruleste4,iarcatulestede2orimaimaredec6timpd4itorul.
estedeimPS(itul?
# Aflanumarulnaturalcare,impdrtitla6,ddcAtul9'
# G6segteperechidenumerepotriviterelatiilordemaijos:*;t;;i=i
b)a:b=7 c)a:b=3 d)a:b=8
a:d=6 a:b=S a.b=7 a:b=9
S Careestenumdrulde8orimaimicdecAt:8O;48;24?
# DecAteorisecuprinde9infiecaredintrenumerele:45;36;18;63;90?
d AncaareSPlante.
cumlepoaterepartrzain numdregalpefileledeierbar?Gdsegtetoateposibilit6tile'
intr-ocutieincaP8gume'
inc6tecutiiincap48degume?Dar72gume?Dar40gume?
Silviuavea32denucigiadatcAte8nucifiecdruiadintrecei4fraliaisii.
CAtenucii-aurdmas?
44
ffi
3#
46. CAtemereprimegtefiecare?
Carenumdrestemaimic:
a)unsfertdin32sauojumdtatedin12? b)ojumiitatedin16sauunsfertdin28?
b)21:7xB
10:10x0
30:10x7
c)50:1xl
9:1x8
54:9x6
d)32:4:2
50:5x5
81:9x3
e)7x2:2
3x6:2
4x 5:2
Determindnumdrulnecunoscut.
a)[: 7 =6 b)6a:[l=6 c)28:l-] =7 e)81:[*i=9
il
il
il
il
il
b)numdrulde7orimaimicdecdt56;
d)sfertulnumerelor:40;B0;20;30.
fl R6zvanare42decdrli.Elleagazdc6te7peunraft.Pe€te rafturivorincdpeatoatecdrlile? -..
ll Georgianaare20decreioane.inc6tecutiiarputeasdleagezeinnumdregal?
il
I Determindtoatenumerelecare,impS(itela9,daucAtulcuprinsinire29i5.
Calculeaz6.
a)72:8x3
14:2x2
45:9x 6
^- r--l
-Jc:Lj=/ cn.Il=z-- Li ll:6 =s l:8 =8 l:7 =o
Sedaunumerele:5;10;15.Afld:
a)numerelede5orimaimari; b)numerelecu5maimari;
c)numerelede5orimaimici; d)numerelecu5maimicidecitnumereledate.
AflSsumaa+b +c,gtiindcdaeste14,b estejum5tatealuia,iarc estedublulluiagib.
Aft6:
a)produsulnumerelorI Si7;
b)cAtulnumerelor549i6;
c)diferenladintreprodusul9icAtulnumerelorS9i2.
Lacdtulnumerelor42gi7, adaugddublulnumirului9.
Aflddiferentadintrejumdtateanumdrului169isfertulnumdrului28.
Dinprodusulnumerelor69i5,scadecatulnumerelor81$i9.
r[ Cantitateade36kgdemeres-aagezatin 9 lddile,iarcantitateade42kgdeprunes-a
agezatin6lddite.
a)CAtcdntdregteo ldditdcufiecarefeldefructe?
b)CucAtcAnt6regtemaimultoledild?
AftS:
a)numdrulde4orimaimaredec6t9;
c)dublulnumerelor:14;20:25;32:16;
45
47. Scrienumdrul't0ca:
a)sumS; b)diferenta; c)produs; d)cdt.
fl Cetuleste69isecuprindede5oriindeimpe4it.Careesteimpdrlitorul?
fl Catul7estede10orimaimicdecAtdeimpdrtitul.CAtestedeimpdrtitul?
flimpdr!itoru|este9,iarcAtulestede32orimaimicdecatimpe4itoru|.CAtestedeimpe(i
fl Compuneoproblemidupdexerciliul72:9x 3.
Calculeazdprodusuldintrecitulnumerelor289i79ic6tulnumerelor309i5.
Calculeazd:
a)cdtuldintreprodusulnumerelor59i69isumanumerelor59i5;
b)sumadintrecAtul9idiferenlanumerelor309i5.
Dec6teoriestemaimicprodusulnumerelor39i1decAtcAtulnumerelor189i3?
Unuldintrefactorieste8,iarprodusul,56.Careestecelilaltfactor?
Deimpd(ituleste42,iarcatul,6.Careesteimpdrfitorul?
Dublulunuinumdreste12.Careestenumdrul?
Jumetateaunuinumdreste5.Careestenumdrul?
Calculeazd,respect6ndordineaefectudriioperatiilor.
a)35+15: 3
24 . 6 +48:6
56:8x 2
(36+27): 9
d)100-(4x8+6x7)
100-(6x9+5x7)
b)72-27 : 9
63 : 9- 42:7
8x 3: 4
80-(15+35)
100-(9x9-4x6)
100-(9x5+6xO)
b)54:6: a= 3
63:9xa=35
81:9xa=36
b)36: 9:2 x(8+4)
8x(7-7)x7+58
c)95-56 : 7
81 : 9-63:7
63_lf +21
80: (8+2)
(691- 78)+(100- 2)
(100-9)+(876-275)
€il
fl
fl
fl
fl
fl
qil
ql
I .--
.----f-
I t'
fl Careestenumdrulainfiecareexercitiu?
a) 3xO'. a= 2
27: 3 xa=72
72'.9 '.a= 2
fl CalculeazS.
a)(54:9+30):(18:3)
(90-6x8):(28:7+3)
,'-
46
48. il
Efectueazdinmultirileindoudmodurigicomparirezultatele.
a)3x(4+2) b)3 x (3+6) c)(S+2)x 8
Calculeazd.
a)(5x2)+(4x2) b)(7x3)+(3x3) c)(6x4)+(4x4)
Precizeazdcaredintreurmdtoarelerelatiisuntadevdratesaufalse.
a)(7+2)x8=7x(4+5) b)(4x3)+(3x5)=3x(3+4)
Calculeazdindoui moduri.
a)2x(4+2+3) b)3x(1+4+3)
il Punesemnulderelaliecorespunzdtor.
a)4 x (1+2)' ',(4x
1)+ (1x 2)
b)3x(2+7):--l1S,z;* 1a'a;
c)4x(2+51--:1+,,Z;+1+'S;
{l Calcuteazidupimodet.
(5x3)+(5x2)=gx(3+2)
=5x5
=25
d)(4x2)xl .;{x(!x3)
e)(2x 5),7--t,g t7
f)2+ (5x 4) ,-']1Z, S;, a
fl ARenumerulnecunoscutdinegalitdliledate.
(86-30):a=7 (20:5):a=1 (Bl:9):b=3 (72:9:c=4 r'_
!il unstiloucostd9 lei,unpixcost62 lei.Lucaa cumpdrat2 stilouri9i5 pixuri.c6!ileia
i.
cheltuitLuca?
(9x3)+(9x5)
(5x4)+(7'4)
(7x3)+(7x4)
Verificddacdurmdtoarelerelaliisuntadevdrate(A)saufalse(F).
a)3x(3+5)=(6+3)x3 b)(5+2)x8=8x(415)
Punesemnulpotrivit.
a)(3+4)v21
--igx2x
4 b)sx(9-8),(9x9)-(9x7)
Pefiecaredintreceletreiranduridepomidinlivaddsuntcates merigi4 peri.
C6!ipomisuntintotal?Rezolvdindoudmoduri.
fl Laconcursuldematematicdauparticipat4echipe.infiecareechipderau3bdieli9i3
C6lieleviauparticipat?
.,,-.-
{l Pentrua desfiguraunjoc,copiiiauformat2 grupe.Eis-auagezatin fiecaregrupdpe3 i;'.-*.
rdnduri,acAte3elevipefiecarer6nd.
CAticopiiparticipdtajoc?
47
50. b)100x2
100x4
c)32x10
15x10
d)3x100
1 x 100
b)(3x100)+(4x10)+s
(8x100)+(5x10)+9
b)800:100
300: 10
10: 10
d) 8x100:10
30x 10:10
100x 10:10
c)(120+780): 10
(750-130):10
cx 100=700
100x d=100
b)(13-4)x 100
(17-9)x lgp
f Caredintrenumereledeforma5-laimpd(itela4daucelmaimarerest?
il
il
Caredintrenumereledeforma85bimpdrlitela4daurestul0?
.[ Descompunenumerele750;920;563;709dupdmodel.
372=(3'.100)+(7x 10)+2
f Efectueazdimpdrtirile.Verificdprininmullire.
a) 40:10
7O:10
100:10
Calculeazi.
a) 9+ 7- 5
96-38+27
17- 9+24
c) 5+6x 3-12:3
45 :9+ 3x10
7x9+27 : 9
e)(35+21):7-(19+9):7
(81:9+6)t5+72i8
12+(10+2:2+8..4)
g)'14+7x (14'.7+2 x3)- (8x4- 16:4)
c)320: 10
160: 10
100:100
b) 3x8:6
18:6x7
35:7x8
d)84- 5x8+4x 9
8x 8-5x5+30:6
4x10_6x$x Q+Q;!
f)(48+24)i8+32
98-50:(14-9)+3x7
(3+6x7):9*2x2
e)2x 5x7
2 x 50x8
I Cabuleaza.
a)5x 10
7x10
il Efectueazd.
a)(2x 100)+(6x 10)
(3x300)+(4x10)
I nnatactorulnecunoscut.
ax10=90
10x b=50
a)(8+5)x10
(7-3)x1s
I Afldsumaa 3 numere,gtiindci primuleste500,aldoileaestede100deorimaimic
c6tprimul,iaraltreilea,de10orimaimicdecAtprimul.
f Cabuleazdindoui moduri.
49
51. Puneparantezerotundeastfelincdtsdobtiirezultatuldat.
a)8+8+8:3=8
c)15+25:8-9x0=5
b)4x1+2x4=36
d)5:5+5+5-5x5=26
Completeazdcu parantezegisemnealeoperatiilormatematice,pentrua obtineega-
litdtiledate:
o[o [o[o= s s[s[s[s= z
a!afe[ e=to sIsf sIs=eo
o[o[0f, o=e of,oIoIo=+a
z[z[z! z=s s[sIsIs=so
intr-ofructierdsuntbanane.Silviua mincat pAnda rdmaso treimedin numdrullor.
amaipus7banane.Acuminfructierdsunt12banane.
CAtebananeaufostlainceputinfructierd?
Treiagricultoriculegintr-ozi624kg mere.
C6tekilogramedemerevorculegeintr-o zi7 agricultori?
La un concurstrei eleviau acumulatimpreund59 de puncte.Cel de-al treileaa
35puncte.Primiidoiauacumulatacelaginumdrdepuncte.
Cdtepuncteaobtinutfiecareelev?
Unnumdrdetreicifrearecifra
c6tdublulcifreisutelorgi
kiplulcifreiunit6tilor.
celor3cifreeste11.
Careestenumdrul?
Afl6toatenumereleacareverificdinegalitatea.
axaxa<30
50
Dublulesteunnumdrdedoud
ori maimaredecdtceldat.
6 estedublul lui 3.
Triplul esleun numdrde tei
ori mai maredecdtcel dat.
Exemplu:
9 estetriplul lui 3.
52. f
Inmullireagiimpdrlireanumeretornaturaledera0 ra1
:!f, carcureazd,forosindadunarearepetate.Grupeazbconvenabirtermenii.a)9'l? b)5'99 cyo,,ii---' d)4x624x25 3x44 7x23 gx72
'!f Launsilozseaduczilnic156tonedecartofi.c6tetonedecartofisuntaduseindoudzileDarintreizile?Darinpatruzile?
.f Afl6numdrut:
a)de10orimaimicdec6tsumanumerelor1509i150;
b)de100deorimaimicdec6tsumanumereloriOOl aOO
il C6testediferenladintre.l009icdtulnumeretor8009i10?
:fl inmullegtec6tulnumeretorg00gi100cu10.
iil Efectueaze.
a)80:
_10:2 b) 5x100:10 c)800_600:10
6x100:2 700: 10+30 '
i1*iOo, c
iL D"r"orpune numerele760;570;684;37gdupdmodetuldat.
S+S=(5x 100)+(4x .t0)+9
'il Determindsumaa 3 numere,gtiindcdprimuresteg00,ardoireaestede1oodeorimaidecdtprimul,iaraltreileaestede10orimaimicdec6tprimul.
fl Decdteorisepoatescedea:
a)2din26? b)6din36? c)4din48? d)8din80?
b)69:3 c)48:4 d)68:2
64:2 84:2 86:2
51
:jf Calcuteazd.
a)42:2
36:6
e)9din81?
e)68:4
99:3
.il Afldnumerele:
a)de7orimaimaridec6t:14;27; 41;
b)cu7maimaridec?t|1427;41.
'il 1o1o"g9p
procedeuIpreferatpentruacalculaprodusuInumerelor.
")1"?1? b)3x128 c)4" tai
--
d)ex,12s
2x132 2x147 'A,Zii
6x280
d) 5x6x 2: 1O
5x2x10:100
e)5 x 18
92x 3
e)4><1
8t<707
000
53. Afl5:
a)numdrulde5orimaimicdecit55;
b)dec6teoriestemaimare28dec6t2;
c)jumitateanumdrului64.
Efectueazd.
a)23x 2
41x 2
2Ot 4
3x25
a)3*.+2=17
15+396=21
{'.3+ 7=10
*:5+18=20
b)27
'<3
45x2
18x4
29x4
d)96x3
43x7
64x6
66x5
e)15x2:5
12x6:3
24:.3xB
21:7x5
DeterminatipeS dinrelaliiledemaijos.
c) 2x74
61x 2
93x 2
6x91
(&-il:a + 2x8=18
@+3)x2-81:9='l
b)(C+3)x5+3-28
(S+$) ;{=3
f Punesemnulderelaliecorespunzdtor.
82x4n56'3
25'3J3,27
Laprodusulnumerelor369i3,adundprodusulnumerelor49gi5.
lnlocuiegtepea cucelmaimicnumernaturalpentrucareinegalititiledemaijos
adevdrate.
32x4<a 45x4<a 26x3<a b)33x5<a 42x2<a 37x2<
I Dinprodusulnumerelor379i3,scadesumanumerelor379i95
Afldnumerelecu8maimari,apoide8orimaimaridecdt87;49;68;26;52;47;67.
Dinprodusulnumerelor949i6,scadediferenlalor.
Adun6produsulnumerelor859i4cudiferenlalor.
I Primulnumdrestede2 orimaimaredec6taldoilea.Al doileanumirestede5 ori
maredec6t28.Careesteprimulnumdr?
O gcoalSainchiriat3 autocarepentrua organizao excursie.lntr-unautocarpot
52depasageri.Puneintrebareagirezolviproblema.
52
85'2875,3
35,.3853x3
i*este o
altd scriere a
operaliei de
inmullire3 xN.
54. Efectueazi.
a)300x 2-137
402x2-209
120x3+366
b)116x3+177
314x 3-306
315x3-219
c)426x2+ 29
250x 3-455
180x4+'138
d)245x4+175- 78
'1296-207+117
'1825+ 37-2OB
il Completeazdschemere.
il
:il
il Calculeazdprodusuldintrecelmaimicnumdrscriscutreicifrediferitegicelmai
numdrparscriscuosingurdcifrd.
catesteprodusuldintrenumdrul3gicelmaimicnumdrscriscutreicifreidentice?
Completeazdfiecaretabelcunumereootrivite.
a ax b a-b a+b
113 2
't25 4
fl lntr-unmagazinsportivsunt150decutiicucate4 mingidetenisfiecare.Sev6nd90decutii.
CdtemingiaurdmasTnmagazin?
liil eRaproousuldintrenumdrul39icelmaimicnumdrdetreicifrescriscucifre:0;2:9.
Scrienumdrul:
a)cu5maimaredecAt106; b)de5orimaimaredecdtl06;c)cu5maimicdec6t1
Dinprodusulnumerelor1149i7,scadesumalor.
AfldvalorileluiSdinfiecareexercitiudat.
a)125x.g<510 b)408x9<1000 c324x g < 950
Efectueazd.
a)60:2 b)48:4
,{lOare estenumdrulde4orimaimicdec6t40:80:g4?
,il
il
il
il
Compuneoproblemdinacdreirezolvaresdsefoloseascdinmultirea213x4.
d)99:3
36:3
56:4
90:3
50:5
60:3
86:2
c)92:4
90:5
72i3
e)75:3
96:4
85:5
a 123 321 435 204
b 2 ? 1 3
ax b
ct
55. Completeazdcasetelecunumerelepotrivite.
a)6 -2-*[-_-l
:4
' f-_l b)so:3
'f---]:4>f--l
Verificddacdrelatiiledatesuntadevdratesaufalse.
a)75 4=75:3 b)55:3=89:3 c)69:3=99:3
fl Dec6teorisecuprinde4fn 40:44;64;92?
I StabitegtenumdrulunitdlilordeimpSrlituluipentrucaegalitililesdfieadevdrate.
b)8f-l:6=13rest4 c)8f-.]:o=14rest3
8ll:z=12rest3 1;--.1:9=11rest1
f,
metri
fl
a)4;- :3=16rest0
5r i:4=14rest0
Calculeazdindoudmoduri.
a)(40+24):4
(18+24):6
b)(54+45):9
(32+40):8
c)(35+ 5):5
(18+27)i9
fl Efectueazdexerciliile,apoiverificiprinprobd.
c)77:6
57:9
33:4
54
a)7:2
8:6
9:4
d)(64+24):8
(63+42):7
numdrde doudcifrediferite
c)secuprinde8in96.
d)(40+36):4
(54+36):6
(64+3216
e)37:7
64:4
82:9
f, Rflasfertul,apoijumdtateanumerelor:24;36',6O;32;48.
f, Calculeazdc6tul9i restulimpdrliriidintrecelmaimare
dublulnum6rului4.
il Aflddecateori:
a)estemaimic3decAt69; b)sepoatescddea6din96;
iil calculeazdindouimoduri.
a) (8+4):4
(8+2):2
(35+5):5
Completeazdtabelul.
b)85:9
48:7
73:8
b)(32+16):8
/6n + 6.4
(60+18):6
c)(81+ 9):3
(90+ 9):9
(35+56):7
d) 9:4
19:4
21:5
a o (a+b):c (a:c)+(b:c)
12 8 2
15 v 5
16 tz 4
56. Verificddaci relatiilesuntadevdratesaufalse.
Il : 8 =7rest4 l : 5 =9rest2
a)7:2=3rest2 b)48:7=6rest5 c)36:5=6rest1 d)56:9=6rest2
7'.6=2rest2 53:6=8rest5 73:8=9rest1 4g:6=grest0
NicuareI mingi.Dacdleagazdc6tedoudintr-ocutieii rim6neominge.
CAtecutiifolosegte?
Completeazdcasetelecunumerepotrivite.
a)B :j- i=2rest0 b)j__l:g =4rest1 c)9:5=l-lrestil
[j : 9 =3restl 37:Lj=91s51 1 1t-.1,t =
3a:fi=
rest3
restI
6
4
il
:il
Lacenumdrsepoateimpdrli72,pentruaobtineuncAtcuprinsintre79i10?
Dacdai18portocalepecarevreisdleimpartiinmodegalmaimultorcopii,afld:
a)c6!icopiipotprimiportocale; b)cateportocaleprimegtefiecarecopil;
. Scrietoateposibilitdlile.
'f, DeTmpd4ituleste,perdnd,5g;58;57.Afl6c6tut9irestuldac6impdrlitorulestede
dati 5.
lmpdrlitoruleste4,iardeimpd(ituleste,per6nd,fiecaredintrenumerele:51;92.,g2:F2.
Caresuntrezultateleimpd(irii?
,fl Punesemnulderelaliecorespunzdtor.
a)246:l[aoo' g b)4olt4tJ2o4t2 c)804:4t]408:4 d)639:3il936:3
il Ef""tr""zd impd(irile,apoiverificdfdcAndproba.
c)303:3
i'i'
;il RRacatut9irestulimpd(iriiceluimaimarenumdrdedou6cifreladublulnumarului2.
fl scrienumereledeocifrdlacareseimpartenumdrul80,astfelincatsdobliirestul:
a)0; b)2: c)8.
Efectueazd.
a)240:2
840:4
770'.7
460:2
b)248:2
966:3
684:2
488:4
c)642'.2
918:9
832:4
535:5
d)364:3
383:3
556:5
778:7
e)824:5
606:5
125:3
549:6
a)603:3 b)408:4 d)804:4
57. Afldfactorulnecunoscut.
4xa=864
5xd=535
7 xb=784
ex6=636
4x c=852
9xf=918
.[ CaredintrenumereledeformaE impdrlitela6saurestul0?
.iI produsula doudnumereeste824,iar unuldintrefactorieste4. Careeste
factor?
Careestenumdrulde6orimaimicdecdtdiferenlanumerelor950gi332?
impartela3sumanumerelorT039i260'
Compardrezultatulimpd(irilorpundndsemnelederelatiepotrivite'
a)Ba4:+l4a+:+ b)663:3f1363:3 c)soo:8[oao:a
4o8t4n2o4i4 682i2J484i2 243:3n455:5
il Sumaa treinumereeste860.Primulnumdreste360.Aldoileanumdrestede2 ori
micdec6tPrimulnumdr'
Careestealtreileanumdr?
]I produsula treinumerenaturalediferiteeste336.Produsuldintreprimeledoudn
este84.Primulnumdrestede70rimaimaredec6taltreilea.calculeazSsumanumerelor'
il Determininumdrul.sdinegalitdtiledate.
bl1x2x3x4x5xgx 1995=0a)1 x2x 3 x 4 x 5 x.5Ux 6 =6x 5x 4x 12
il
il
il
il Completeazdfiecaretabel.
din
fl Gesegtenumdrulde2orimaimicdec6tdiferentanumerelorS00gi198'
in bibliotecasa,Rdzvanare380dec6(i dinliteraturaromand9ide2 orimaiputine
literaturauniversald.
a)Cdtecdrtidinliteraturauniversaldare?
b)Cuc6tesuntmaimultecd(ilerom6negtidecAtcelestrdine?
c)CAtecdrliareRdzvanin bibliotecasa?
d)Scrierezolvareaproblemeiintr-unsingurexercitiu'
56
l.'.Factor 98 4 2
i'.Factor 3
575 848 746
Deimpdrtit 176 803
lmpirtitor c q
2 6
27 75
7 0
58. -f Sedaunumerele114si2.Afld:
a)c6tullor;
b)produsullor;
a)a:8=107rest6 b)c:5 =578rest3
6:a=96 982:b =7
c)b :4= 124rest5 d)d : 8 = 329rest1
nx4=416 618:d=6
'fl Calculeazdrespect6ndordineaefectudrii
operatiilor.
'f Afl6numerelenecunoscure.
a)625:5x4
102x8:3
c)decAteoriestemaimic2decat114;
d)decdteoriestemaimare114decdt2.
'--'i% !-.*r*r+-
Deimpdrlitul
(D) seufld
inmullindcdtul (C)
cu thrydryitorul(i)
Siadundnd
restul(r).
D:C"i+
b)408:4+3x 118
618:3+365x3
c) 14x4- 18:(6+3x 4)+ (Bx 9-54 :2):9
2+7 x (8+8 :8)-4 x (192:6x 4)
,il gtiindcd7 muncitorilucreazdintr-ozi 37gdepiese,afldcatepiesepotlucraintr-o
12muncitori.
if Unsfertdinjumitateadistanleidintredouelocalitatieste97km.
Careestedistanladintreceledoudlocalit6!i?
{tr gtiindcdimpdrfitoruleste6,cdtulestecu2 maimaredecAtimpd(itoruliarrestul
jumdtatedinc6t,reconstituieimpdr[irea.
;1 Sumaadoudnumereeste980.
AflSnumerele,gtiindceunulestemaimaredec6tceldlaltdegori.
il
il
il
b)bx8<80
9x e<63
c)120:c >40
2<mx 3<24
1il Determindnumerelecare,scriseinloculliterelor,facadevdratescrieriledemaiios.
a)6xa<40
3<d: 2<5
M-amgdnditlaunnumdr,l-aminmultitcu59iamoblinuts75.Lacenumdrm-amgandit?
Produsuladoui numereeste420,iarunuldintrefactorieste9.catesteceldlaltfactor?
Determindpea,b,cAtiindcd:
100:a=b; b:c=10; 100:c=10.
DI
59. f, eflanumerelenecunoscutedinrelatiile
f!Aflatoatenumerelediferitede0care'impdrlitela5'daulacAtgilarestacelaginumdr'
fl Determinatoatenumerelecare'impd(itela10'daucAtulegalcurestul'
fl Compunecateoproblemadupdexpresiiledate'
a)3x200-236
b)184:4+300
jl Calculeazdpeadinegalitdtiledate'
a)149x4+a=800
b)a-(257x2)=148
c)a+(135x6)=900
{|Careesteprodusu|,daceunuIdintrefactoriesteg,iara|doileaestetriplu|numarului4
I Completeaz6casetelecunumerepotrivite'pentrucarelaliilesi fieadevdrate'
a)4x2x' <60 b)10x -
x2<'100 c)Ox4x: <75'
flcatecasetesuntpe3rafturi,dac6fiecareraftarecdte8cutii,iarinfiecarecutiesuntcA
7casete?
OPeragiiieditt
parantezelet'ltLutda
se rezrtlt'aPrtntu
clut6, itt Lrrtildlilareo
fl Calculeazd'
a 942 2+268
1000-156: 3
b)880: 3+709
900-526 : 6
c)(100:10-10 : 10):(10-1)
-"
!g+bo: 5x 2- 5x2
Scriec6teooperalieincarenumirul 300sdfie:
a)sumddedoitermenl;
bidiferenlSadouenumere;
ii J.ou.in .uteunuldintrefactorisdfie3;
iiLai,in."r" i.p6(itorulsdfie2
5g
ortline:iilAi
innullirile 5i
imparlit'ile'uPoi
ctdunarile;i
scdderile-
60. Probleme
fl intr-olivaddsunt156de pruni,meride 3 ori maimulli,iarcaigi,jumdtatedin
prunilor9imerilor.
C6lipomisuntinlivade?
il t-"unaprozars-auadus1000kgdecartofi.in primazis-avandutunsfertdincantitate.
douazi,jumdtatedinintreagacantitate,iaratreiazi,restul.
Afldc6tekilogrames-auv6ndutinfiecarezi.
il Jumetatedincantitateade400lde uleiestepus6in sticledejumdtatedelitru,iar
jumdtate,insticledeunlitru.
CAtesticlesuntnecesarepentrutoatdcantitatea?
if ProdusulatreinumerediferiteestelS0.produsulprimelordou6estelg,iarprodusul
melordoudeste90.
Afldnumerele.
liN Compunecateoproblemedupeformuleledate.
a)axb:c b)axbxc
il intr-undepoziterau8T5kgcartofi,morcoviculgTkgmaipulin,iarceapide4orimai
decAtmorcovi.
Cdtekilogramedelegumeerauindepozit?
,il C, un sfertdinsumade banipecareo are,
MddSlinapoatecumpdra5ciocolate.
C6tcostdociocolati,dacdMdddlinaare40de
lei?
I Dintr-unrezeryorde 990 | de benzinds-au
scosdimineala240l, iardupi-amiazd,de 2 ori
maimult.
CAtilitridebenzindaurdmasin rezewo(?
I Sumaapatrunumereeste900.primulnum6r
expresia,,de
atdteaori mai
pulin", opera{iei
de impdrlire.
este85,aldoileaestedublulprimuluiiaraltreilea
estetriplulceluide-aldoilea.
Careestealpatrulea?
. Scrieexpresiaproblemei.
*-s"+ii-;,.
-,.t.icaase_.
Expresia,,de
atdteaori mai
mult" coresptmde
operalieide I
tnmul1ire,iar
59
61. i
I
.l
i"
Ordinea efectuiriioPeraliilor
Efectueazdrespect6ndordineaoperatiilor.
a) 324:9x14:7 1OO4-4 x f,+$x 126
625:5: 5x12:6 68070- 75x48-79x11
1004: 4 x 36:4 114x75'.5x1
638- 235:5-101 316: 4x93:3
3027-156 x 7+324 'l5x36x1214
b) 2x444-(48x10:2+66x10+975:5:3-3x33)
128x9:3 x0+812r 2-64 + 119x0
9+(9x9:9-9)+220-20x0
255:(65-50)-(80:4-256x0):2
't991- 394+785-289+ 635- 199
325x17+ 19050:10-1609
c) 400+480:4-[680'.20+4 x (20+ 12+18)]
fl Efectueazd.
I xl+ 1x3+ 1x2x lx {+ 1xlxJx !x$
(128-128:2:4:(1+1x2-3 +3:3)- 11
42-21t2+5 x (44-5x 8):10-2
(10+10:10)x 10-(10+10x 10):10
(36x24+36x42)+(64xg6-64 x66)
(45:5+ 10x2- 14)x 5 :(7x4 -21 i7)x 13+23
25x (160-30 x 5)-8 - (24+6 :6)
24x 5'.6- (210-30):9+ 18'.9- 2
(360:12+469)- (130:65+ 141-2 x 55)
495+(25x2-36 :4)x 3-(56 +24x 2 :4)
52700+t69:3-(18:6)l
l1O+2x (3:3+9:3):9+2l:4
33:[1+34:(3x5+4:2)]
3+6 :[3x (76-25x 3)-(88-5 x 17):3]:3
4OO+480:4 +[680:20+4 x (20+ 12+18)]
60
62. Fraclii
0
3.3.3.3.
5' m'7'7,
a) 14 7-1 12
11 t-r 11
d)4;-1 3
8u8
b)6 rr I'5 LJ T
e)2 F-t 6
4 L-) 12
c)7 5I
7!.J7
n2r-4,41J6
I UaganOesclaofraclie.Numirdtoruleiesteunnumdrcuprinsintre79i 12,iarn
estecuprinsintre129i15.Carepoatefifractia?Gdsegtetoatesoluliile.
fl Completeazdcucifrecasetelepentruaoblinefracliiegale.
4+ q+ c)3-6
o
n
LI
T
z
r=lt.l
61
HI Scriefracliilecorespunzitoarepentru:
a)doudcincimi;b)gaptedoimi; c)zecezecimi.
fl Indicefracliilereprezentatedepddilehaguratedindeseneledate.
b)E
.,8
Ordoneaz6crescdtor,apoidescrescdtorfracliiledate.
^r
2. 2. 2. 2. 2. 2. 2. ,-, 3.a)T' 13'76'E' T8'V'4' D)E;
^3.10.2.12.5."'n'n'a' a'D' ;r8.1.2.20.5
' 15',15' 15' 15',15
Compa16:
a){cin sztculainzta; olf oinroscuf, oin60;c1ftatn400cu250.
Compardperechiledefraclii,folosindreprezentarealorpeunsegmentdedreaptd.
63. .f EfectueazS.
^,, 2 3 nrS - 7
o,5t5 "rg g
9733
lO-lO E-s
1,3*! L-9-+4-4-4 I 8 8
jl RnapeaOinegalititiledate'
<R
a) a+1-1'60
c) a+i= 1.T
:il
il
il
il
il
,il
CalculeazdZ din'.25;75; 1OO;315:745;520.
Andreiacitittreisferturidintr-ocarte9imaiaredecitit32depagini'
C6tepaginiarecarlea?
ar5-4*3
"'g 9'9
z 1-'=
o
2
1-,4-
.t q 1
/' -= r-:- - --i-
"/9 9 9
,9
^zzz
{E ,t4 16
1
To
1
8
otro
d)+
- a=
- a-
1 ^^..ar^i
Duodceacheltuit* dinbaniipecareiiavea,Nicoletaamairimascu6lei'
2
CesumddebaniaveaNicoleta?
Afl6unnumirnatural,gtiinclcdsumadintreacelnumdr9iI dinetesteegaldcu140' :.-
5.
intr-unparcs-auplantat1 500deflori.I eraupetunii,1 trandafiri,iarrestulgaroafe' -
Cdtegaroafes-auPlantat?
5 5
Afldfracliilemaimari: :.
u)cu{decat{-;{si$.a)cuf,dec6t|; f;sif;;
il Aflefractiilemaimici:
a)cufoecatf;{sif ; u)cufdecatf'*,f
;f, Untractoristaaratintr-ozildintotterenulpecareilaveadearat,iaradouaziincd|
teren.
Cepartedinsuprafaldardmasnearate?
I a)CAtedoimiareunintreg?Dardoiintregi?
- O)Catiintregifac4doimi?Dar16pdtrimi?
il a)Scrietoatefracliilecunumirdtorul39inumitorulmaimicsauegalcu5'
- UiScrietoatefrailiilecunumitorulTginumdrdtorulunnumdrparcelmultegalcul0"
62
64. fl a)Cefracliereprezintddintr-ozi'.1h;2h;7h;12h:24h?
b)Cefractiereprezintddintr-unan:1luni;3luni:6luni?
d ooi fralicitescaceeagicarte.Dupdce unulcitegte{ , i.r.iarceldlalt$ dincarte,se
constatdcAprimulcitisecu13paginimaimultcaaldoilea.
o t '
C6tepaginiarecartea?
fl Aflern nurdrgtiindcd
{
Oinyumatateatuieste152. " - '.'
f, t-"unmagazin,oinzoo"moestof6,s-auvandutinprimazildin total,adouazicu5gm
*-.
maimult,iaralreiazi{ dinintreag"cantitate.
4
5
|| .rgcrg<rudt tUtate.
a)C6timetridestofds-auvAndutinfiecarezi?
b)Daca1mstofdcostd83lei,afldvaloareastofeivAndute.
lntr-oexcursie,silviucheltuiegte$ dineconomiilelui,ceeacereprezintit}4lei.
CdtileiaavutSilviuinexcursie?+-atf
2il intr-og"o"lssunt480deelevi.Dinintregulnumdrdecopii,I suntinclasal.9 Inclasa
alt-a,{ inclasaa lll-a,iarrestulsuntinclasaa lV-a.
5 B ----
o
oqq I v-d.
C6tielevisuntinclasaa lV-a?
f, Launmagazins-auadusg64kgde mere,cares-auvendutin treizile:in prima21s-6 .-,.-'.
zi,restul.
Cesumds-aincasatzilnic,dac6unkilogramdemerecostd2lei?
65
I
fl un turista parcurs27 km,ceeace reprezintd$ oincistanlapecaregi-apropussdo
strdbatd. 5 '
_
Careesteaceastidistantd?
if calculeazd.
t.racliile cu ,,.,_,"
tttt'lttSi ttttntitr,t
d lB . 4i /o . g ceorlrrtrostttt.tt
l;; ? :;l + l-,^ r:;l
12 121 12 121 .tr.udpi:rr.cind
tttttuitorttl ], )>
o,(+.in..J,.. (f . f) ,r_i
rt-'crtirnh't!
H* _
:5}s -
")+.+-(".+)=+
66. t-
Elemente de geometrie
if Deseneaziundreptunghigi,in interiorulacestuia,untriunghigalben.Deseneazd
triunghialbastruinexterior.
f Deseneazdpecaieturmdtoarelefigurigeometrice,apoicoloreazecurogutriunghiurile
dreapta9icualbastrudreptunghiuriledinst6nga.
Spunec6tefigurigeometrices-aufolosit.-
nl-r A
-
l-l
ll '/ -/
tt n
LJ I_ T
il Deseneazdceurmeazdinfiecaresir.
AffiO AffiO
IIOAAAIIIO
a)DecupeazdlaoradeabilitelipracticeSdreptunghiuri.
ll!g1l1l":9iieca.re dreptunghiinagaferinc6rs-dobliiurmitoarerefigurigeometrice:. oouaoreptunghturi; . treidreptunghiuri; . douetriunghiuri;. doudpdtrate; . unpitratgidouitriunghiuri;
Caredintrefigurilegeometricedemaijos:
a)suntpdtrate? c)aumaimultde4v6rfuri?
b)suntcercuri? d)aucelpulin4v6rfuri?
oA
A n /r
^//
_/ / t-----l
il
il
t
I
65
67. I NGAT tf GAAI
AIIATTIATEA
7* DeseneazdpereleauadepdtrSleledeseneledate,apoi:
a)traseazicuroguaxadesimetrieafiecdruidesen;
b)deseneazdpirlilesimetricealeimaginilor.
S Realizeaziundesen:
a)numaidinPuncte; b)numaidinliniidrePte.
s Afldnum6rulfigurilordinimaginiledate.
a)dreptunghiuri; b)pdtrate; c)triunghiuri.
ms z 01* ScriecAtefigurigeometrices-aufolositindesenulaldturat'
1$ RobertgiMihneaaunevoiefiecarede90decuburipentruoconstructie'
Catecuburiii maitrebuiefieciruiapentrua-giterminaconstructia?
Hffi
nnI
75. ...ll Diferenladintrelungimeagileilmeaunuidreptunghiestede10m,iarperimetrulacestuia
estede200m.Sdseafledimensiuniledreptunghiului.
10m
+B
l
--C
,t fi m
I
1I
=
--i
l
I
fl Afleperimetrulunuidreptunghi,gtiindcd:
a)lungimeaestede48m,iarl5limeaestecu13mmaimicd;
b)lilimeaestede17m,iarlungimeaestetriplullStimii;
c)lungimeaeste105m,iarl5limeaestef dinlungime.
,fl Perimetrulunordreptunghiuriestede140m.Aflddimensiuniledreptunghiurilor,gtiindce: --:
a)laimpdrtireaacestoraseobtincAtul39irestul2;
b)lungimeigildlimeasuntrepiezentatedenumereconsecutivepare; t'
l
cjdife-ren1adintrelaturiesteotreimedinlaturamic6. .
il Careestelungimeaunuidreptunghi,dacdjumdtateaperimetruluieste65m,iarldlimea
esteunsfertdinlungime?
.
fl Untriunghicudoudlaturiegaleareperimetrul124cm.Afldlungimealaturiloregalegtiind .'''.._
ceatreialaturdare42cm _ _
fl9tiinoc5|6!imeaunuidreptunghireprezintdfointungime9ic5semiperimetru|
dreptunghiu|uiestede40m,afld|d|imeagi|ungimeadreptunghiu|ui.
At,
fl Dacdimpd(imlaturaunuipetratlacelmaimarenumdrimpardeocifrdoblinemc6tul39i
restul5.
Careesteperimetrulpdtratuluiincentimetri?
Stiindcdlaturaunuirombestede81cm,aflSperimetrulrombului'
,fl Dacdscddemdinperimetrulunuipdtrat2l0cmoblinemdublullaturii.Aflilatura.
74
77. lil MesoareincentimetrilungimeafiecSruiobiectdesenatmaijos.
(m-r-
.fl Careestetraseulcelmaiscurt?
S!, g 1-7mx 2
f"*'
Scrieprescurtat:9 metri;308 decametri;11 milimetri;109centimetri;270 kilometri;
hectometri;16decimetri.
CalculeazS.
b) 900km-309km- 17km
1000km- 306km+ 127km
375hm+607hm-199hm
il
65
il
a)'100m +748m - 69m
963cm-139cm + 98cm
373dam+316dam- 179dam
il CalculeazS.
a) 4dm +?dm =1m
800cm-?cm =1m
770mm+?mm=1m
Estimeazelungimeasegmentelor,apoiverificdprinmdsurare.
B
-D
b)4600mm+?mm=500cm
110cm+?cm =20dm
200cm +?cm =500m
Segmentul Estimare Misurare Eroare
AB
EF
GH
76
78. il Unautomobila parcurs900dekilometriin3zile.$tiindci in primeledouSzilea parcurs
6000hm,iarinultimeledoudzile,4000hm,afldcdtikilometriaparcursinfiecarezi.
fl Unsegmentdedreaptiare6cm,aldoileaarecu2dmmaimult,iaraltreileaestede4ori
maimaredec6tsumaprimelordoud.C6ticentimetriauceletreisegmentelaunloc?
fl Alcdtuiegteoproblemddupdformula:100cm- (24cm+ 16cm).
Capacitatea
fl SuculdinpahareafostturnatinsticleleA,BgiC.Observddesenelegiscriecaresticld
areceamaimarecapacitate
ffik3
)ffi
tkJ
IEEmmmmm
m
mm mmn
wA n B
mgwo ffi-g
$ftm
kJ;l
ffisa
ld:rlkJ
$ TurnAndlichiduldinfiecarevas,sepotumpleexactatateagdlelicAtesuntdesenatelangd '
fiecarevas.infiecaregileati incapI litri.Scriecapacitateafiecdruivasmdsuratinlitri
q Catejumetetidelitrusuntintr-unlitru?Darin2litri?Darin5litri?
4* lntr-unvassunt35|deapd.C6tilitriarmaitrebuiturnalipentruafi52l?
$[ Mihaivreasdtoarne23|desucdefructeTn3vasediferite:de2l,de3|9ide6l.C6tevase
defiecarefelpoatesdumple?Gdsegtemaimulteposibiliteti.
??
ffi?:JI
ffius
79. jt Completeazdcasetelecuunitdtiledemdsurdsaunumerelepotrivite.
^,tnt-.,1d/ rv | - |
100l=
' hCra
vl
-
ettl
cl 2l
=20 c)90dal=9 d)151 =1500
- ^t
.tn I
, -_ __dl 360m|= 36
jl Catidecilitrisuntintr-unlitru?Darinjumdtatedelitru?Darin 3jumitSlidelitru?Darin 8
jumdtSlidelitru?
i| CalculeazS.
a)10dal+ dal= 100I b)2dal+ | = 801 c)80kl-350h|+2000da|= |
5kl + kl =7000I 3 kl+ hl=50001 843h|-123 l- 12 cl= |
'!l Ocandsepoateumplecu20decldeapd.
CAtecdnisuntnecesarepentruaumple
vasulaldturat?
dl Alegevasulcareteajut6sdmesorimaiugor40delitridelapte.
a)o sticlSde1| b)unbidonde50| c)ocanistrdde10|
Precizeazdcumsepoatem6sura1|itrudeap5cuajutorulunuivasde3|9ia|un
Cinearedreptate?
f,
1il
Masa
1., ScriecAtc6nidfegtefiecareprodus,gtiindcefiecaregreutateare1kg.
81. f,
decA
intr-undepozitseafld2 t cartofi,cu500kgmaimult6varzA,iarceapdcu3 q maiputin
tcartofi.
CecantitatedelegumeseaflSindepozit?
tll intr-uncamions-auincircat10sacicufdindacdte80kgfiecaresacai10sacicum6laia
c6te50kgfiecaresac.
CAtetoneareincSrcdturacamionului?
Timpul
jl Scrieceordaratdfiecareceas.
I Efectueazdtransformdrile.
4min= il."" 300sec= [ min 2.n;= [ zite
13ore= ll min gore = f, min 46n1= [ zile
jl intr-ocompetilie,lafiecare5 minuteiastartulc6teunatlet.Primulconcurenta plecatla
oraI fix.Laceordvaluastartulcelde-aloptuleaconcurent?
f Corinaseantreneazbdedoudore9ijumdtate.CAtaratdceasul,dacdantrenamentula -
inceputla169i30deminutee
'fl Antrenamentuldehandbaldureazd70deminute,iarceldebaschet,55minute.
Laceordsetermindfiecareantrenament,dacdincepela159i30minute?
fl Aflecateoresunt:
.intr-ozi; 'in 3zile; .intr-oseDtAmand.
Deseneazdceasuripentruailustraoraindicatd.
. cu15minutemaidevreme
. oraexactd
. cu25deminutemait6rziu
st)
82. 'I Catesterturideordsuntin4ore?Darin10ore?Darin24deore?
il O petrecereincepela2:30dup6-amiaza.Eas-aterminatdup62 ore9i20de
Careceasaratdlaceords-aterminatpetrecerea?
.il Completeaz6calendarulluniiincareneafl6m.
.' Luni Marli ffi*ftrrcuri grJoi :Mneri imbate Suminici
il
. Silviumergelaantrenamentmarli9ijoi.
DecAteorimergeellaantrenamentinaceastdlunS?
.Adrianmergelaantrenamentma(i,joigivineri.
C6teantrenamenteareAdrianinaceastdlunS?
Raduaimplinit9anila28septembrieanulacesta.
CevdrstdvaaveaRadupe5decembrie,peste2ani?
Ordoneazdcrescitordurateledate.
1ord9i12sec; 1min9i19sec; 1ord9i60min.
il R6ru"ns-aplimbatcubicicletadelaora159i30deminutepdndlaora'169i15minute
apoiajucatoordtenis.Pedrumuldeintoarcereacasdaficut 15minute.
LaceordaajunsRdzvanacas6?
,l Grigoreaplecatlamuntelaora89i15minutegiaajunsdupd2ore9i45deminute.
LaceordaajunslacabanS?
]I Crirtin"a fostin vacan!5labunicigia statdoudsdptdmdni9i4 zile,merg6ndzilnic
doudorilascSldat.
DecAteoriamersCristinalascdldatinaceaperioadd?
il inanut1990,tatSlMarieiavea27deani,iarmamaeiaveacu3animaipulin.
lnceans-aun6scutpdrinliiMariei?
8r.
84. spectatorii,pefiecarebancdtrebuieseseagezecate6 persoane.Dacds-armaiaduceincd
'
15locuriarrdm6nelibere.
CdtepersoanesuntinsalS?
t-
il Ocantitatederogiitrebuiaambalatiin l6zi. . .
LuAndlSzidecAie8 kg,rbmAnneambalate180kg.LuAndtotatAtealdzi,ins6de 12kg
1-*1.'
fiecare,r6m6ngoale35deldzi.
CAteldzieraugicecantitatederogiitrebuiaambalati?
ll intr-ocurtesuntgdinigiiepuri,intotal43decapetegi124depicioare.
CAtegdinigic6!iiepurisunt?
n n n n n n n n r'l
H 11 11 H H H V V V[43decapete
/ / / / / / / / /lsodepicioare
t-
il Catielevisuntintr-oclasd,gtiindcddacdformdndgrupedincdteofatdgiunbdiatrdmAn-
8fete,iardaciformdmgrupedinc6te3fetegiunbdiat,rdmdn4 bdieti?
il L" ,n .on.rrs dematematicdsedau5punctepentruo problemdbinerezolvatdgisescad
3punctepentruoproblemdgregitd.
Unelevatrimis10problemerezolvategiaprimit26puncte.
C6teproblemearezolvatbinegic6teagregit?
'il DacesepuncAte3floriTntr-ovaza,r6man6florifdrdvazd.
vazdrdmAn2vazegoale.
CAteflori9icAtevazesunt?
f, intr-undepozitseafldde4orimaimultdfdinddecAtinattul.
Dacddinprimulsescot960kgfdind9idinaldoileasescot60kgrimdn cantitdliegale.
Cecantitatedefiind a fostlainceputin fiecaredepozit?
1il intr-ocurtesuntgdini,rale9ioi.gtiindcdintotalsunt1000depicioare9i 280decapete .
iarnumdrulraleloresteo treimedinnum6rulgdinilor,sdseaflecAtegdini,c6teralegicAteoi -_
suntincurte.
fl CatrtimpS(iriia doudnumereeste3 iar restul'10.
impd(itorul,cAtulgirestulobtinem143.
Sdseafleceledoudnumere.
DacdsepuncAte4floriintr-o -
Dacd adundmdeimpirtitul,
fl
mar
Sdseafledouinumeregtiindcdprimulnumdrestede5orimaimaredec6taldoileanu-t' -
,iardiferenladintredublulprimuluinumdrgitriplulceluidealdoileanumdreste245 =i
85
-"1
85. itt
Doifraliauimpreund48detimbre.Z dinnumirultimbrelorpecareleareunuldinfrali
.J
sunt
ae
egalecu f dinnumdrultimbrelorpecareleareceldlaltfrate
Catetimbrearefiecare?
Primulfrate i- -''!--" ' -r' ' ---'.1
I
I
Total:48timbre
Al doileafrate t
fl OouabucSlide pdnzdaveauaceeagilungime.Dupdce s-auv|ndut 18m dinprima
bucategi25demehidincealaltS,inprimaardmasde2orimaimultdp6nzddecatinadoua.
CAtimetridepAnzeaufostinfiecarebucatd?
Sumaadou6numereeste597,iardiferentaloreste77.Caresuntnumerele?
Sumaadoudnumereeste203.Sdseaflenumerele,gtiindcdunulestemaimaredecAt
celSlaltcu17.
cu4 m,ldlimeadevinede3orimaimicddecAtlungimea.
Caresuntdimensiunilebazinului?
8/4
fl Srru atreinumerenaturalea,b,c este939.AflSnumerele,gtiindci b estede3orimai
maredec6tagicu15maimicdecdtc.
fl Sumaadoudnumereeste597,iardiferenlaloreste77.
Caresuntnumerele?
fl Sumaadoudnumereeste203.Sdseaflenumerele,gtiindcdunulestemaimaredecAt
celdlaltcu17"
fl Unnumdrestede7orimaimaredecAtaltul.
Caresuntceledoudnumere,dacdsumaloreste958?
f, Sumaatreinumerenaturalea,b,c este939.AflSnumerele,gtiindcdb estede3orimai
maredecAta9icu15maimicdec6tc.
fl Perimetrulunuitriunghieste3OOm.
CAticentimetrimdsoarilaturiletriunghiului,dacdlungimileacestorasuntreprezentatede
numereconsecutivepare?
{f Unnumdrestede7orimaimaredecAialtul.Caresuntceledoudnumere,dacdsumalor
este958?
fl Perimetrulunuidreptunghieste264cm.Lungimeaestecu36cmmaimaredecdtldlimea.
Aflelungimeagildlimeadreptunghiului.
il Unbazininformddedreptunghiareperimetrul64m.Dacdsemdregtelungimeabazinului - -
87. I Oacaextragemdintr-ourndtreijetoanecunumerenaturale,laintAmplare,
unadintreurmdtoareledoudafirmaliiesteadevdratS.
a)Douddintrenumeresuntpare.
b)Douddintrenumeresuntimpare.
ExplicideceseintAmpldaga.
Oorchestrdformatddin7instrumentigticAntdomelodieincinciminute.
in cdttimpvac6ntaaceeagimelodieo orchestrdalcdtuitddin14instrumentigti,
atuncisigur
respec-
tAndritmulmelodiei?
N ProdusulvArstelora3fratieste36.Doisuntgemeni.Celmaimicareochiiverzi.
Cev6rsteauceitreicopii?
.I Sesearatecumpoateaducecinevadelar6u6litrideapdavAndladispozilieunvasde
11litri9iunulde4litri.
'l eolipune15bilein 5 urneastfelincAtsdnuavemdoudurnecuacelaginumdrdebilegi
nicisdnuexistevreourndfird bile?
N Careestenum5rulminimdebeligoarecarepotfigrupategic6tedoud9ic6tetrei9ic6tecinci?
1l Cumputemaranja30kgdecdpguniinldzide3kggi5kg?
1fl Rvemladispozilieobalanldgi10bileidenticecaformi,9av6ndaceeagigreutate,iaruna
pulnmarugoara.
Poli,printreicAntdriri,sdogdsegti?
fl inclasanoastrdsunt30deelevi;l4dintreeipracticdinotuliar26joacbfotbal.
CAtidintreeipracticdunsingursportgic6!iambelesporturi?
fl Unmuncitorpoatesdpaungan!in 4 ore,iarunaltmuncitorpoatesSpaacelagigantin
'12ore.incAteoresapiintregulgantceidoimuncitorilucr6ndimpreuni?
!il Ungrupdeeleviaupornitin excursie;dacdseagazdcAte3 in rAnd,rimAne1 elev,in
afarar6ndului,daci seagazdc6te4,rdm6n2,dacdseagazdcAte5rim6n3elevi.
Cdtielevisuntingrup?
&6
88. a"rr"ir"uoi;-""**iffi,celelalteconsecutivepare.
Cdtesolutiiareproblema?
;il Gdsegtedoudnumereacdrorsumdsdfieegaldcuprodusullor.
f intr-uncogsuntcu14meremaimurtdec6tinartcog.Dacd26demeresunttrecute
primulco^gjnardoireq,TnacestadinurmSvorfide30rimaimurtecainprimur.
Cetemereerauinfiecarecos?
,lil Dianaar" de5orimaimullileidec6tSergiu.
c6lileiarefiecaregtiindcddacdDianaii-deluisergiu32lei,sumerelordevinegare?
,fl Diferenlaadoudnumereesteb7.c6turdintrecermaimaregicermaimiceste3,iar
13.Afldnumerele.
'il un elevconstatdcdunsfertdinbaniieconomisilideelreprezintaprelulunuipix,iar
restuli9imaipoatecumpdraincdunpix9idoudmingi.
I rnii--uncogurelsunr5mere.
cum trebuieimpi(ite acestemereIas fetilein agafelinc6tfiecaresdaibd1m6r,iar
cogsdrim6ndunul?
Gdsegtetoatenumereledetreicifrecareausumacifrelor17,iarcifrasuterorestecu
Sergiu
Diana
il Unelevarederezolvatin5zileunnumdrdeprobleme.Lunirezolvdjumdtatedinnur
locmadijumdtatedincererdmase,miercurijumdtatedincererdmase,joi jumdtatedin
Carecostdmaimult:pixulsauming-ea?
rdmasegivinerirestul.
Dacdmiercuriarezorvat4probreme,afldc6teprobremearezorvatinfiecarezigiintotal
:[ o tet4aareacum10ani,iarmamasa30deani.Afl6pestec6!ianifetitavaaveade
orimaipulinvdrstamameisale?
I Tata,mamagifiurauimpreuni90deani.Afldvdrstafieciruia,dacdtatdrestemaiTn
decAtmamacu4 ani,iarmamaestemaiinvarstdde€t fiulcu19ani?
Catenumerede3cifreconlincifra1celpulinodatd?
Gongulunuiceasdeperetebatede6oriin5secunde.
Inc6tesecundebategongulde12ori?
,il
.il
maimaredecatcifraunititilor.
a7
89. flcristinaacump5rat3cdr!i9iapl5tit16|ei.AdouacartecoStecu3|eimaimu|tcaprim
iaratreiacu5leimaimultdecdtadoua. _*
CAtileicosti fiecarecarte?
{ nr treigrdmezicu69denuci.Dacddingrdmadaa douamut6 nuciin primagrdmadd,
fl Catecd(i 9ic6tecaieteareunelev,gtiindcddacdlegrupeazdcdteo carte9iuncaiet
rdm6n6caiete,iardacdlegrupeazdcAteocartegi2caieterdm€n2cirti?
fl Saseimpartdnumdrul40in treipd(i astfelcaprimaparteimpdrlitdla2,a douaparte
-
-
impirlitdla39iatreiaparteimpdrlitila5sddeaacelagicAt. ..'-
fl Sasedeterminetreinumereconsecutivegtiindcdsumalorestecu17maimaredecAt --
numdrulcelmic.
Peodistan!5de124ms-auinstalat18conductedeapede6m9i8m.
C6teconductedefiecarefels-auinstalat?
Unnum5restecu10maimaredec6tdub|ulce|ui|a|t'
Afldnumdrulgtiindcddiferenlaloreste130.
UnvAnzdtorpune92lvinin sticlede72clgi40cl.Ela reugitsdumplededoudorimai :
atunciin primagrdmaddvorficu3 nucimaimultedec6tina doua.Dacddina douagrdmadd
mut9nuciinatreiaatunciinacestedoudgrdmeziauacelaginum6rdenuci.
CAtenucisuntinfiecaregrdmadS?
multesticlemaridecdtmici.
C6testicledefiecarefelaumplut?
fl
fl
t
fl
{
b=63: 9+ 7x B-20x2
b)ac+bc
&{3
c=48 :16-72:36
fl Careestenumdrul65dacinumirulab5-estecu163maimaredecAtdublulnumdruluiab?
CAtecifrede1suntnecesarepentruascriecelmaimicnumdrdepatrucifre?
Daroentruascriecelmaimicnumirdepatrucifrecucifrelediferitedezero?
fl Gasegtetoateperechiledenumerenaturale(a,b)$tiindc6:2a+3b= 12.
$tiindcd5a+4b +6c = 155gi2b+ 3c=65,calculeazdvaloarealuia.
Sedaunumerele:
a= 9x 8-42: 7x 8
Calculeazd:
a)5a-3b+4c;
90. i,,, i, I I l l- I"l-
---
i--T'll-1.
-1,
r-_*l.lll]--l-[
fl o franghielung6de86mafosttdiatdindoudpd(i,astfellncatunadineles6aib6cu24
maimultdecAtcealaltS.
CAtimetriarefiecareparte?
e
Doimuncitoriauprimitpentruolucrare84delei.Unuldineia lucrati dincAtalucrat
lalt,
fl Unnum6restede4orimaimicdecAtprimul,iardiferentalorestede6g.
Aflaticeledoudnumere.
iil lntr-unvasdefructesuntde3orimaimulteperedecAtmere.Lamas6sunt4 persoane.
Fiecaredintreeleiadinvasc6teunmergiopard.Rdm0ninvasde4orimaimulteperedecat
mere.
CAtepere9icAtemereeraulalnceput?
LFiecdruimdrii corespundcdte3pere.Fiecarepersoandiacdteunmdrgiopard.
,6-, ,ff, ?tr /6r., ,.,{r, ,6-i /f.
XqD i,Hn;€,q)i!_jii$n,'
ll. Reprezentdmfructelerdmaseln vas.Redistribuimperelelagrupelerdmase,astfel
incdtfiecdruimdrsd-iarespundd4pere.
/d-
{
celd
i'e
60dl
9'
i{J
.. isdi
€-',,'
i?-',1ro,"r
idodll 8
'd'';Js"ne
il Dacaeleviiseagazdc6teunulinfiecarebancd,rdm6n14eleviinpicioare,iardacdse
agazdc6tedoiintr-obanc6,r6mAn3bdncilibere.
CAtielevi9icdtebdncisuntinclasd?
89
CAtsecuvinefiecdruiadintreei?
6',,
lsdl
a_/
',,?'idsdl
si
Ai
$//
,''A,
0qdi.4.1
91. Exercilii9i problemededezvoltare
Efectueaz6.
a)25x(160-30x5)-8- (24+6:6)
(1800- 12501:10+220:11x(12000:40- 60015+25)
255:(65-50)-(80:4-256x0):2
12x 10:6-(200-20):9+36:18-2
g+(9xg:9-9l,+220-2010
b)5+5x[10-3x(15-4x3)];
6- [7+6x3-(93100-1070x87):7]:6;
22-10:[4-4:(8-3x2)l+3x7i
4 x 1625:(25+16x8-8 x 8x2)l:100
400+480:4- [680:20+4x(20+.12+18)]
(115:5-20)x1120+(7x8-224:7)l:9
1225:(170-15x9):t(5x45-50):251:5
c){2x[14+(5+a):6]-5]:9+7=10
10x{10:[10-(10-a x2)]]+1O=0O
I x{212-5x[a+3x(5x6- 17)]]=SO
{[(65xa- 194)x5-3] x19+121:25=2
ll(27x a-79)x61-781x'15+340):250=4
t(7-3)x5-2 +3l'.7+9l'.a=4
lQx{3- 10x[362+10x(24+24:4)]]=1gg
90
92. Calculeaz6necunoscuteledinegalitAtiledate.
a)1+(6:3-a:8:2=2
b)1+(15-4xa+9:3):6=2
c)(ax9-78 :2)+4x25=1492
d)a:2+(123x3- 53x4)=257
e)(285-81):102+ax900*1400=402
0 (x+ 270:3)x5+1001:600=1
g)5xX-(2000:50)-(1291- 1091)=40
h)[(203x4-207):5+24Qx3-(767-312:12)]x[= 1oss
i)(362;a+364):5x 16-1344=400
j)879- [930:3+(837-6221+254]+6=569
'f
Sedtexercitiul:6x9:3+5-2
Folosegteconvenabilparantezele,dac6estenevoie,pentruaobtineperind
21:36:9.
.il Aflevabarealuiadinexpresiiledate.
a)70-50:(3xa-23)=65 b)10=a:a+a
lnexpresiilea=2x70- 5gib=200+80:2-'l 0,puneparantezeastfelinc6ta=b'
lnexercitiul5x4:2+ 8-2,folosegteparantezepentruaobtinerezultatul0'
il a)Calcufeaz6:3x8:4+6x2- 18.
b)FolosegteparantezelerotundeastfellncAtrezultatulacestuiexercitiusdfie24.
'l
Sedaunumereleagib.
a=[(20+5:5)x 10-10]:40
6 =1(20'.4)x5-2$lx2-4
Caredintreafirmaliiledemaijosesteadeviratd?
a>b a=b a<b
91
93. I Sedaunumereleagib.
q=Qxl +l x5+5x3+3x 1
b=9x7-7x5-5x3-3x 1
Cucatestemaimaresumaa+bfat6dediferentaa- b?
flGese9tesumatuturornumere|ordedouAcifrecaresepotscriecucifre|e1;2;3;
fl Num6rul5estejumitateasfertuluijumdtdtiiunuinumdr.
Aflicareesteacelnumdr.
il MicAoreazdde10oridiferenladintretriplulcAtuluinumerelor909i99idublulsumeinu- '
merelor9gi1.
Scriecalculeleefectuatesubformauneiexpresiimatematice.
fl Gdsegtesumanumerelora,b,cgtiindcd:
(c+b)-a=123; (a-'1):8=12rest6; (a-2):b=10rest1.
il nnanumerelenaturalecare,impd(itela6,daucAtul1039irestulmaimaredecatjumd-
tatealmpeditorului.
fl Determindsumanumerelora,b9icatiindc6:
a+2b=26', b+2c=26; 2a+c=20.
il Aflenumerelenaturalea9ibdinegalitateadat6.
(5-a)x(b:3;=12
fl Cenumdrtrebuiepusinloculluiaastfelincategalitateasi fieadev6ratd?
1x2 x 3x4 x 5x6x7x a x2004+1000-4=996
a+c=62
.10100 . 't01110
.il Afldvalorileliterelorcareverificdinacelagitimpcondiliiledate.
a+b=45 b+c=53
Reconstituieexercitiul.
16axa-)1ffi=16
fl a)Scrieinordinedescresc6toarenumereledate.
.1 101 .10111 .'100110 .101 .1001
b)Careestesumacifrelornumirului10100?
c)Careesteprodusulcifrelornumirului10100?
92
94. il
180
fl Sumaadoudnumereeste346.DacdimpS(imprimulnumirlaaldoilea,oblinemcAtul3
9irestul2.
Caresuntceledoudnumere?
f, Diferentaadouanumereeste46S,
Dacdimpd(imprimulnumdrlaaldoilea,oblinemcitul3girestul2.
Caresuntceledoudnumere?
fl Sumaadouinumereconsecutiveeste515.
Caresuntceledoudnumere?
f, Sumaatreinumereconsecutiveeste906.
Caresuntceletreinumere?
Sumaadouinumereconsecutiveoareeste706.
Caresuntceledoudnumere?
d TreicopiiauimpreunS200delei.Primiidoiauimpreunill0lei,ultimiidoi190lei,
CAtileiarefiecare?
Sumaatreinumereeste2450.Primulnumdrestecu250maimaredecAtaldoileagicu
maimaredec6taltreilea.
Afldceletreinumere.
{ lnheil6zisunt6'14kgdemarfd.ln adoualadi estededoudorimaimultimarfidecAtin
prima,iarinatreiacu4kgmaimultdec6tinadoualadd.
CAtekilogramesuntinfiecareladd?
{ Diferenladintredoudnumereeste800,iarojumdtatedinnumdrulmaimicestede4ori
maimicddecdtceldlaltnumir.
Afldceledoudnumere.
3l Adun6nO30launnumdr,obtinemosumide4orimaimaredecAtnumdruldat.
Afldnumdrul.
fl MicaorAndcu7dublulunuinumdr,obtinemcu11maipulindec6tjumdtateanum6rului.
Careesteacelnumdr?
{ frei copiiaulaCECsumade891lei.Primularede4 orimaimultdec6taldoilea,iaral
treileaarecu90leimaimultdecAtjumdtatedinc6tareprimul.
CAtileiarefiecare?
dl lntreisacierau207kgcartofi.Dupdcedinfiecaresacs-av6ndutaceeagicantitatede
cartofi,lnprimulsacaurdmas26kg,inaldoilea,35kg9iinaltreilea,38kg.
CAtekilogramedecartofiaufostlainceputinfiecaresac?
s3
95. Sumaadouinumerenaturaleeste240.
Afldnumerelein cazulln carecdtulimpdrtiriiceluimaimarelacelmaimiceste4
restul20.
$tiindcdjumdtateaunuinumirnaturalestede3 orimaimicddecitaltnum6r,
numerele,dacdsumaloreste550.
Scrienumirul616cao sumddetreitermeni.astfellncit fiecaretermensdfiedu
predecesorului.
Sumaa treinumerenaturaleesteegal6cu2 154.Primulnumdrestededouiotti
maredec6taldoilea.
gtiindci altreileanumdrestemaimarecu 18dec6ttriplulceluide.aldoileanumdr,
celetreinumere.
C6nds-aniscutGabriel,tat6lsduaveav6rstaegal6cucelmaimicnumirdedoui
maimaredecAt30.lnanul2009,tat6lvaimplini48deanr.
lnceans-aniscutGabriel?
Sedautreinumere.Aldoileaestede2 orimaimicdec6tprimul,altreileaeste
celorlaltedou6,iardiferenladintrealtreileagialdoileaeste22.
Sdseaflenumerele.
Pentrua facecompot,o gospodindtaie48demereln dou6,dup6carejumitate
numirulbucdlilorlemaitaieodat6indou6,iarapoijumdtatedinnumdrultotaldebucitile
iardgiindou6.
C6tebucdlidemerearegospodinapentrucompot?
Mihai,FloringiCristinaaulmpreund60detimbre.Mihaiarede3 orimaiputin
decAtFlorin,carearecu3timbremaimultdec6tCristina.
C6tetimbrearefiecarecopil?
Unelevcitegteocarteinpatruzile.lnfiecarezicitegtecuopaginimaimultdec6tln
precedentS.
CAtepaginiacititinfiecarezi,gtiindcdaavutdecitit110pagini?
Sumaa doudnumereeste17.Dacdmdrescprimulnumdrde4 ori,iarpealdoilea
micaorezde4ori,obtinnumereegale.
Caresuntceledoudnumere?
94
96. Launconcurs,seacordd,pentrupremiurr,spuncte,pentrupremiuraril-rea,3puncte,
pentrupremiulallll-lea,2puncte.
Afldnumiruldepremiiprimitedeeleviiuneigcoligtiindcds-auobtinut2spunctegi
putindoudpremiidinfiecare.
fl lntr-ocutiesunt70debilerogii,galbene9ialbastre.Dupdcedincutieamscos7
rogii,6 bilegalbene9i8 bilealbastre,in cutieaurdmasdedoudorimaiputinebile
dec6tbilealbastregidedoui orimaimultebilegalbenedecAtbilerogii.
CAtebiledefiecarefelaufostlaincepufincutie?
Numdrul90seimpartelntreip6(ilnagafelinc6tprimapartesdfiededoudorimai
dec6tadoua,iaradouapartes6fiede3orimaimaredecttatreia.
Puneintrebareagirezolv6problema.
.,fl SumaadoudnumereesteS0,iarraportulloreste1 .Afldnumerele.
3
Si searateci:
a)(3x 333- 3x 3):(3x 33)=(3x 777- g t T)i (gx 77,).
b)Sdsegiseascdx dinegalitatea:
99x99:x=999+99_9.
c)Gisegtepatrunumerenaturalediferitealc6rorproduss6fie1000.
Gdsegtenumdrulnaturaldetreicifrecarearesumacifrelor22,gtiindci sumacifrelor
reprezintesutelegizecileeste13,iarsumacifrelorcereprezintdzecile9iunit6tileeste15.
il unnum6rnaturalestedetreiorimaimaredec6tattnumer.caresuntceledoudn
gtiindcdcelmaimareestemaimaredec6t149imaimicdecAt20?
'iI P"unlotgcolarnusepotplantadec6tcelmult17pomi.Eleviiauhot6r6tsdptanteze
4 orimaiputinimeridecatprunigiciregilaunloc,iarprunidetreiorimaimultdec6t
careestenumlrurcermaimaredemeri,prunigiciregicaresepoatepranta?
Afldcevaloriareain egalitdtiledate,
624-173-7x7 =2x a
456+127-9xl=gxg
236-'159-77=3xa
559+324-183=7xa
fl RRavatoarealuibdininegalitltiledemaijos.
a)b:3<4
b:4+3<8
b)b:5<4
b:3+2<6
c)b:2<6
b"2-1<4
95