1.Link zadatka Koliki je zbir cifara broja [inline]13[/inline] u pozicionom sistemu sa osnovom [inline]2[/inline]?
[inline]\text{A)}[/inline] [inline]5[/inline] [inline]\text{B)}[/inline] [inline]4[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]2[/inline] [inline]\text{E)}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]5[/inline] [inline]\text{B)}[/inline] [inline]4[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]2[/inline] [inline]\text{E)}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam
2.Link zadatka Broj mrava u mravinjaku se svake godine poveća za [inline]20\%[/inline]. Koliko najmanje godina treba da prođe da bi broj mrava postao bar dvaput veći nego u početku?
[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\text{C)}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]5[/inline] [inline]\text{E)}[/inline] [inline]6[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]3[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]4[/inline] [inline]\text{D)}[/inline] [inline]5[/inline] [inline]\text{E)}[/inline] [inline]6[/inline] [inline]\text{N)}[/inline] ne znam
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3.Link zadatka Ako je [inline]f\left(2x-1\right)=x[/inline], onda je [inline]f\bigl(f\left(x\right)\bigr)[/inline] jednako:
[inline]\text{A)}[/inline] [inline]2x-1[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{x+3}{4}[/inline] [inline]\text{C)}[/inline] [inline]\left(2x-1\right)^2[/inline] [inline]\text{D)}[/inline] [inline]x^2[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{x-3}{4}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]2x-1[/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]\displaystyle\frac{x+3}{4}[/inline] [inline]\text{C)}[/inline] [inline]\left(2x-1\right)^2[/inline] [inline]\text{D)}[/inline] [inline]x^2[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{x-3}{4}[/inline] [inline]\text{N)}[/inline] ne znam
4.Link zadatka Vrednost izraza [inline]\displaystyle\left(\frac{1}{3}\right)^{-10}\cdot27^{-3}+0,2^{-4}\cdot25^{-2}+\left(64^{-1/9}\right)^{-3}[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{3}{25}[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{5}{3}[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] [inline]8[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{3}{25}[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{5}{3}[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]8[/inline] [inline]\text{N)}[/inline] ne znam
5.Link zadatka Vrednost izraza [inline]\displaystyle\frac{2a^2+7a+3}{a^3-1}-\frac{1-2a}{a^2+a+1}-\frac{3}{a-1}[/inline] za [inline]\displaystyle a=-\frac{1}{3}[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle-\frac{3}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle-\frac{12}{7}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{12}{7}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{3}{4}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle-\frac{3}{4}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]\displaystyle-\frac{3}{2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle-\frac{12}{7}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{12}{7}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{3}{4}[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]\displaystyle-\frac{3}{4}[/inline] [inline]\text{N)}[/inline] ne znam
6.Link zadatka Skup rešenja nejednačine [inline]\bigl|\left|x\right|-3\bigr|\le1[/inline] je:
[inline]\text{A)}[/inline] [inline]\left[2,4\right][/inline] [inline]\text{B)}[/inline] [inline]\left[-4,-2\right]\cup\left[2,4\right][/inline] [inline]\text{C)}[/inline] prazan [inline]\text{D)}[/inline] [inline]\left(-\infty,-2\right][/inline] [inline]\text{E)}[/inline] [inline]\left[2,+\infty\right)[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]\left[2,4\right][/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]\left[-4,-2\right]\cup\left[2,4\right][/inline] [inline]\text{C)}[/inline] prazan [inline]\text{D)}[/inline] [inline]\left(-\infty,-2\right][/inline] [inline]\text{E)}[/inline] [inline]\left[2,+\infty\right)[/inline] [inline]\text{N)}[/inline] ne znam
7.Link zadatka Koliki je unutrašnji ugao pravilnog mnogougla koji ima [inline]6[/inline] puta više dijagonala nego stranica?
[inline]\text{A)}[/inline] [inline]140^\circ[/inline] [inline]\text{B)}[/inline] [inline]144^\circ[/inline] [inline]\text{C)}[/inline] [inline]156^\circ[/inline] [inline]\text{D)}[/inline] [inline]160^\circ[/inline] [inline]\text{E)}[/inline] [inline]168^\circ[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]140^\circ[/inline] [inline]\text{B)}[/inline] [inline]144^\circ[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]156^\circ[/inline] [inline]\text{D)}[/inline] [inline]160^\circ[/inline] [inline]\text{E)}[/inline] [inline]168^\circ[/inline] [inline]\text{N)}[/inline] ne znam
8.Link zadatka Vrednost izraza [inline]\displaystyle\left|\frac{1-z}{1+z}\right|[/inline] za [inline]z=2i[/inline] je:
[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]5[/inline] [inline]\text{C)}[/inline] [inline]5\sqrt5[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\sqrt5}{5}[/inline] [inline]\text{E)}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]5[/inline] [inline]\text{C)}[/inline] [inline]5\sqrt5[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\sqrt5}{5}[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]1[/inline] [inline]\text{N)}[/inline] ne znam
9.Link zadatka Broj rešenja jednačine [inline]2\left|x+1\right|+x-3=0[/inline] je:
[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] veći od [inline]3[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]0[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]3[/inline] [inline]\text{E)}[/inline] veći od [inline]3[/inline] [inline]\text{N)}[/inline] ne znam
10.Link zadatka Data su dva kruga poluprečnika [inline]4\text{ cm}[/inline] koji se dodiruju. Koliki je poluprečnik kruga koji spolja dodiruje dva data kruga i njihovu zajedničku spoljašnju tangentu?
[inline]\text{A)}[/inline] [inline]0,5\text{ cm}[/inline] [inline]\text{B)}[/inline] [inline]1\text{ cm}[/inline] [inline]\text{C)}[/inline] [inline]\sqrt2\text{ cm}[/inline] [inline]\text{D)}[/inline] [inline]2\text{ cm}[/inline] [inline]\text{E)}[/inline] [inline]2\sqrt2\text{ cm}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]0,5\text{ cm}[/inline] [inline]\enclose{circle}{\text{B)}}[/inline] [inline]1\text{ cm}[/inline] [inline]\text{C)}[/inline] [inline]\sqrt2\text{ cm}[/inline] [inline]\text{D)}[/inline] [inline]2\text{ cm}[/inline] [inline]\text{E)}[/inline] [inline]2\sqrt2\text{ cm}[/inline] [inline]\text{N)}[/inline] ne znam
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11.Link zadatka Vrednost izraza [inline]\displaystyle\sin\left(\arccos\frac{1}{\sqrt2}\right)+\arcsin\frac{\sqrt3}{2}[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{5\pi}{6}-\frac{1}{\sqrt2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}+\frac{\pi}{6}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}+\frac{\pi}{3}[/inline] [inline]\text{E)}[/inline] nije definisano [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]\displaystyle\frac{5\pi}{6}-\frac{1}{\sqrt2}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}+\frac{\pi}{6}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}[/inline] [inline]\enclose{circle}{\text{D)}}[/inline] [inline]\displaystyle\frac{1}{\sqrt2}+\frac{\pi}{3}[/inline] [inline]\text{E)}[/inline] nije definisano [inline]\text{N)}[/inline] ne znam
12.Link zadatka Najveća vrednost funkcije [inline]f\left(x\right)=\sin\left(\sin x\right)[/inline], [inline]x\in\mathbb{R}[/inline] je:
[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]\sin1[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\pi}{2}[/inline] [inline]\text{E)}[/inline] [inline]\arcsin1[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]2[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]\sin1[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\pi}{2}[/inline] [inline]\text{E)}[/inline] [inline]\arcsin1[/inline] [inline]\text{N)}[/inline] ne znam
13.Link zadatka Koliko postoji celobrojnih vrednosti parametra [inline]k[/inline] takvih da je [inline]\left(k-1\right)x^2-2\left(k+5\right)x-\left(k+5\right)<0[/inline] za svako [inline]x\in\mathbb{R}[/inline]?
[inline]\text{A)}[/inline] nijedna [inline]\text{B)}[/inline] jedna [inline]\text{C)}[/inline] dve [inline]\text{D)}[/inline] tri [inline]\text{E)}[/inline] više od tri [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] nijedna [inline]\text{B)}[/inline] jedna [inline]\enclose{circle}{\text{C)}}[/inline] dve [inline]\text{D)}[/inline] tri [inline]\text{E)}[/inline] više od tri [inline]\text{N)}[/inline] ne znam
14.Link zadatka Ravan koja sadrži središte jednog poluprečnika lopte i normalna je na njemu, seče tu loptu tako da je površina preseka jednaka [inline]48\pi\text{ cm}^2[/inline]. Koliki je poluprečnik lopte?
[inline]\text{A)}[/inline] [inline]4\text{ cm}[/inline] [inline]\text{B)}[/inline] [inline]4\sqrt3\text{ cm}[/inline] [inline]\text{C)}[/inline] [inline]8\text{ cm}[/inline] [inline]\text{D)}[/inline] [inline]8\sqrt2\text{ cm}[/inline] [inline]\text{E)}[/inline] [inline]16\text{ cm}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]4\text{ cm}[/inline] [inline]\text{B)}[/inline] [inline]4\sqrt3\text{ cm}[/inline] [inline]\enclose{circle}{\text{C)}}[/inline] [inline]8\text{ cm}[/inline] [inline]\text{D)}[/inline] [inline]8\sqrt2\text{ cm}[/inline] [inline]\text{E)}[/inline] [inline]16\text{ cm}[/inline] [inline]\text{N)}[/inline] ne znam
15.Link zadatka Najmanji realan broj [inline]a[/inline] za koji postoji realno rešenje jednačine [inline]x^2-2x-\log_2a=0[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]4[/inline] [inline]\text{E)}[/inline] takav broj ne postoji [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]\displaystyle\frac{1}{2}[/inline] [inline]\text{B)}[/inline] [inline]1[/inline] [inline]\text{C)}[/inline] [inline]2[/inline] [inline]\text{D)}[/inline] [inline]4[/inline] [inline]\text{E)}[/inline] takav broj ne postoji [inline]\text{N)}[/inline] ne znam
16.Link zadatka Najveća moguća zapremina prave kupe čija izvodnica ima dužinu [inline]s[/inline] je:
[inline]\text{A)}[/inline] [inline]\displaystyle\frac{2\pi s^3\sqrt3}{27}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{4\pi s^3\sqrt3}{27}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{\pi s^3\sqrt3}{9}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\pi s^3\sqrt3}{27}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2\pi s^3\sqrt2}{27}[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]\displaystyle\frac{2\pi s^3\sqrt3}{27}[/inline] [inline]\text{B)}[/inline] [inline]\displaystyle\frac{4\pi s^3\sqrt3}{27}[/inline] [inline]\text{C)}[/inline] [inline]\displaystyle\frac{\pi s^3\sqrt3}{9}[/inline] [inline]\text{D)}[/inline] [inline]\displaystyle\frac{\pi s^3\sqrt3}{27}[/inline] [inline]\text{E)}[/inline] [inline]\displaystyle\frac{2\pi s^3\sqrt2}{27}[/inline] [inline]\text{N)}[/inline] ne znam
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17.Link zadatka Prava [inline]l[/inline] seče pravu [inline]y=2x-2[/inline] u tački [inline]A[/inline], a pravu [inline]y=x+1[/inline] u tački [inline]B[/inline]. Ako je tačka [inline]M\left(1,1\right)[/inline] središte duži [inline]AB[/inline], onda je jednačina prave [inline]l[/inline]:
[inline]\text{A)}[/inline] [inline]y=x[/inline] [inline]\text{B)}[/inline] [inline]y=2x-1[/inline] [inline]\text{C)}[/inline] [inline]y=1[/inline] [inline]\text{D)}[/inline] [inline]y=2-x[/inline] [inline]\text{E)}[/inline] [inline]x=1[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]y=x[/inline] [inline]\text{B)}[/inline] [inline]y=2x-1[/inline] [inline]\text{C)}[/inline] [inline]y=1[/inline] [inline]\text{D)}[/inline] [inline]y=2-x[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]x=1[/inline] [inline]\text{N)}[/inline] ne znam
18.Link zadatka U broju [inline]12345\,12345\ldots12345\,12[/inline] koji ima [inline]2007[/inline] cifara precrtane su sve cifre na neparnim mestima (počinjući s leve strane). U tako dobijenom broju ponovo su precrtane sve cifre na neparnim mestima. Ova operacija je ponovljena dok na kraju nije ostala samo jedna cifra. Koja je to cifra?
[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\text{D)}[/inline] [inline]4[/inline] [inline]\text{E)}[/inline] [inline]5[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]1[/inline] [inline]\text{B)}[/inline] [inline]2[/inline] [inline]\text{C)}[/inline] [inline]3[/inline] [inline]\enclose{circle}{\text{D)}}[/inline] [inline]4[/inline] [inline]\text{E)}[/inline] [inline]5[/inline] [inline]\text{N)}[/inline] ne znam
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19.Link zadatka Špil od [inline]32[/inline] karte sadrži [inline]4[/inline] keca. Na koliko načina se može izabrati [inline]5[/inline] karata tako da među njima budu tačno dva keca?
[inline]\text{A)}[/inline] [inline]19\,656[/inline] [inline]\text{B)}[/inline] [inline]1\,134[/inline] [inline]\text{C)}[/inline] [inline]13\,104[/inline] [inline]\text{D)}[/inline] [inline]201\,370[/inline] [inline]\text{E)}[/inline] [inline]39\,312[/inline] [inline]\text{N)}[/inline] ne znam[inline]\enclose{circle}{\text{A)}}[/inline] [inline]19\,656[/inline] [inline]\text{B)}[/inline] [inline]1\,134[/inline] [inline]\text{C)}[/inline] [inline]13\,104[/inline] [inline]\text{D)}[/inline] [inline]201\,370[/inline] [inline]\text{E)}[/inline] [inline]39\,312[/inline] [inline]\text{N)}[/inline] ne znam
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20.Link zadatka Zbir svih trocifrenih brojeva deljivih sa [inline]11[/inline] je:
[inline]\text{A)}[/inline] [inline]43\,450[/inline] [inline]\text{B)}[/inline] [inline]43\,560[/inline] [inline]\text{C)}[/inline] [inline]44\,440[/inline] [inline]\text{D)}[/inline] [inline]44\,000[/inline] [inline]\text{E)}[/inline] [inline]44\,550[/inline] [inline]\text{N)}[/inline] ne znam[inline]\text{A)}[/inline] [inline]43\,450[/inline] [inline]\text{B)}[/inline] [inline]43\,560[/inline] [inline]\text{C)}[/inline] [inline]44\,440[/inline] [inline]\text{D)}[/inline] [inline]44\,000[/inline] [inline]\enclose{circle}{\text{E)}}[/inline] [inline]44\,550[/inline] [inline]\text{N)}[/inline] ne znam
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