9 - razred - matematika - mala matura

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Mala matura - matematika - testovi 2012-2014 - Crna Gora

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  • UU

    FORMULE

    Kvadrat zbira: 222 2)( bbaaba

    Kvadrat razlike: 222 2)( bbaaba

    Razlika kvadrata: )()(22 bababa

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    W}]v]uW MBP 2

    u]v]uWHBV

    W}]v]u]WMBP

    u]v]u]fiW HBV 31

    W}]voilW3 %0 U(r+H )(rt]v}ov]l}v}

    u]voilWV = B H = r2+(rt]v}ov]l}v}

    W}]vlW3 %0 U(r+s)(rt]v}ov]l}v}]st]v]}v]

    u]vlWV = 31

    B H = 31

    r2+

    (rt]v}ov]l}v}

    UU

  • MATEMATIKA

    U P U T S T V OVRIJEME RJEAVANJA TESTA: 70 MINUTAPribor: JUDWQDRORYNDLJXPLFDKHPLMVNDRORYNDJHRPHWULMVNLSULERU8SRWUHEDGLJLWURQDLNRUHNWRUDnije GR]YROMHQD

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  • MATEMATIKA EKSTERNA PROVJERA EE:E

  • MATEMATIKA EKSTERNA PROVJERA EE:E

  • MATEMATIKA

    U P U T S T V OVRIJEME RJEAVANJA TESTA: 70 MINUTAPribor: JUDWQDRORYNDLJXPLFDKHPLMVNDRORYNDJHRPHWULMVNLSULERU8SRWUHEDGLJLWURQDLNRUHNWRUDnije GR]YROMHQD

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  • MATEMATIKA EKSTERNA PROVJERA EE:E

  • MATEMATIKA

    U P U T S T V OVRIJEME RJEAVANJA TESTA: 70 MINUTAPribor: JUDWQDRORYNDLJXPLFDKHPLMVNDRORYNDJHRPHWULMVNLSULERU8SRWUHEDGLJLWURQDLNRUHNWRUDnije GR]YROMHQD

    3DOMLYRSURLWDMWHXSXWVWYR1HRNUHLWHVWUDQLFHLQHUMHDYDMWH]DGDWNHGRNWRQHGR]YROLGHXUQLQDVWDYQLN7HVWVDGUL]DGDWDND7RNRPUDGDPRHWHNRULVWLWLIRUPXOHNRMHVXGDWHQDVWUDQDPDL

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  • MATEMATIKA EKSTERNA PROVJERA EE:E

  • MATEMATIKA

    U P U T S T V OVRIJEME RJEAVANJA TESTA: 70 MINUTAPribor: JUDWQDRORYNDLJXPLFDKHPLMVNDRORYNDJHRPHWULMVNLSULERU8SRWUHEDGLJLWURQDLNRUHNWRUDnije GR]YROMHQD

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    1. dan 2. dan 3. dan 4. dan

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    20%

    30%

    40%

    50%

    60%

    70%

    80%

    90%

    100%

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    U P U T S T V O

    Vrijeme rjeavanja je 60 minuta.

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    UPUTSTVO ZA BODOVANJE

    Napom ena :

  • 3

    E}uvWl}}l]}livilv]U]o]l}uvnja je pogr ijeeno jednom, zadatak se boduje sa 2 boda.

    10. Ukupno 2 boda

    ......................................................................................................... 1 bod

    ............................................................................................................................................ 1 bod

    11. Ukupno 2 boda

    ............................................................................................................................................. 1 bod Kvvv}iv}i}ilivi ....................................................................................... 1 bod

    12. Ukupno 3 boda

    a) 27 ............................................................................................................................................... 1 bod b) 37 ............................................................................................................................................... 1 bod c) 20% ........................................................................................................................................... 1 bod

    13. Ukupno 2 boda

    h}v}i ....................................................................................................... 1 bod Pozivanje na drugo pravi lo podudarnost i trouglova (stranica ugao st ranica) ....................... ... 1 bod

    ( , , NPKMPL kao unakrsni ugovi) 14. Ukupno 3 boda

    Povrina kvadrata 2422 cmcmcm ......................................................................................... 1 bod

    Povrina trougla 28244

    cmcmcm

    ............................................................................................. 1 bod

    ili .............................. 1 bod

    15. Ukupno 3 boda

    ....................................................................................................................... 1 bod

    ................................................................................................................................... 1 bod

    ................................................................................................................................. 1 bod

    Zadaci navedeni kao ilustracija gradiva IX razreda

  • 4

    1.dan odgovor: A

    2. Ukupno 3 boda

    ............................................................................................................................... 1 bod

    h}vo u pravouglom trouglu, npr. ...................................................................... 1 bod

    ............................................................................................................................. 1 bod

  • [11]

    6. PRIMJER TESTA SA SHEMOM ZA BODOVANJE

    6.1 PRIMJER TESTA hoi]u]u}l]te o}}]v}P}P}}X

    1. a}]ivl}v]vi] )2()5()5( aaa ?

    A. 23 a

    B. 23 a

    C. 2a

    D. 2a

    1 bod

    2. Vrijednost izraza 23 32 je:

    A. 36

    B. 72

    C. 36

    D. 56

    1 bod

    3. Ako se brojiocu i imeniocu razlomka 43

    doda broj 1 onda se vrijednost razlomka:

    A. ne mijenja

    B. }1

    C. smanji za 201

    D. }201

    1 bod

  • [12]

    4.

  • [13]

    ll}i]o]iii}v}XBodovi se dodjeljuju na }v}v postavke, postupka ivi]rezultata koji slijedi iz korektnog rada.

    7. Za koje je vrijednosti parametra p funkcija 3)42( xpy M ZiviW 1 bod 8.

    a) E}iv}i}i}v]}iFs, 57

    i rw.

    1 bod

    /v]]iv}]5 5 5 7

    :4 6 3 8

    .

    2 boda

    9. W}l}ll]u]o]uU]P }uvl}u}}]]}v~o}}vviU}v (iz igre) ili 3 poena (iz igre sa uoiv}]}U75m). hlu]ivo}uWXd}l}ulu]iv}o]}vlv} slobodna bacanja i 9 trojki.

  • [14]

    11. Anastasija je tokom sedmice sakupljala novac da bi drugarici kupila poklon. U tabeli je zapisivala, koliko je novca sakupila po danima.

    dan u sedmici ponedjeljak utorak srijeda l petak subota nedjelja ]v}~ 3,10 1,40 2,50 0,80 3,00 4,80 2,70

    a) }l]l]]u]iPu}m.

    1bod b) Anastasija je u petak sakupila 12% od sume koju je planirala. Koliko iznosi planirana suma? ZiviW 2 boda

  • [15]

    12. av]l]}]o]iv}}vXW}v]]abelu zavisnosti promjene broja radnika ]uvl}i}}]]}oivX

    broj radnika 6 3 vrijeme (dani) 30 2

    2 boda 13. ]vv] paralelograma su 8cm i cm6 Xs}iv]] }P}]]v]vcm3 . /vi]v]]vl}i}P}uvi}iv]]X ZiviW 2 boda 14. /vi}]v}v}]ul}}]v]u262cm i povr]vviv}P}u}230cm .

    ZiviW 1 bod 15. }u]o]il]u}o]llU]i]i}]u}v}mS12 , a visina m4 . Koliko kubnih metara ima u toj gomili pijeska? ZiviW 2 boda

  • [16]

    6.2. SHEMA ZA BODOVANJE

    Rivil]l}P]}

    Broj zadatka dv}P}} 1. A 2. B 3. D 4. C 5. A 6. C

    7. Ukupno 1 bod

    242042 !!! ppp 1 bod

    8. a) Ukupno 1 bod dv}v]iete sve tri vrijednosti

    b) Ukupno 2 boda 5 5 5 7 5 1 7

    :4 6 3 8 4 2 8

    1 bod

    18

    1 bod

    9. Ukupno 2 boda

    796923923 x 1 bod 49 x 1 bod 10. Ukupno 3 boda x t }i]]P}v y t }i]]P]}v

    flfi

    8

    1932

    yx

    yx 1 bod

    Tvo primijenjena npr. metoda zamjene ili metoda suprotnih koeficjenata 1 bod 3 y 1 bod

  • [17]

    11. a) Ukupno 1 bod

    1 bod 11. b) Ukupno 2 boda

    310012

    x 1 bod

    tw 1 bod 12. Ukupno 2 boda dv}}oiv]]iv}}]iUvX 6 30 3 x

    x:306:3 60 x 1 bod

    dv}}oiv]]iv}}]iUvX 6 30 x 2

    2:306: x 90 x 1 bod

    broj radnika 6 3 90

    vrijeme (dani) 30 60 2

  • [18]

    13. Ukupno 2 boda

    a ba h b h , cmhb )38(6 1 bod

    cmhb 4 1 bod 14. Ukupno 1 bod

    MBP 2 22 30262 cmBcm

    216cmB 1 bod 15. Ukupno 2 boda

    ,2 SrH ,212 SS rm cmr 6 1bod

    3

    2 HrV

    S ,

    34)6( 2 mm

    V

    S

    , 33 483

    144mmV S

    S ili 372,150 mV | 1 bod