Quiz about Osnove matematike - KVIZ - MO

Question 1

Koji od datih brojeva nije racionalan?

Accepted Answer

$$\sqrt[]{5}$$

Accepted Answer

$$5\pi$$

Answer

5

Answer

$$\frac{5}{6}$$

Answer

$$-5$$

Question 2

$$\frac{2}{3}+\frac{1}{9}=$$

Accepted Answer

$$\frac{7}{9}$$

Answer

$$\frac{2}{9}$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{3}$$

Question 3

Vrijedi $$\frac{4}{3}>\frac{5}{3}$$

Accepted Answer

NE

Answer

DA

Question 4

Vrijedi $$-\frac{4}{3}>-\frac{5}{4}$$

Accepted Answer

NE

Answer

DA

Question 5

Vrijednost izraza $$3\ \frac{3}{4}+\left(2\ \frac{2}{3}-6\ \frac{1}{8}\right)\ :\ 2\ \frac{1}{2}$$ je

Accepted Answer

$$4$$

Answer

$$5\ \frac{5}{16}$$

Answer

$$0$$

Answer

$$-1\ \frac{1}{3}$$

Question 6

Vrijednost stepena $$3^4$$ je

Accepted Answer

$$81$$

Answer

$$12$$

Answer

$$3$$

Answer

$$64$$

Question 7

Vrijednost izraza $$\left(\frac{1}{2}\right)^2+\left(-\frac{4}{3}\right)^2-\left(\frac{6}{1}\right)^{-2}$$ je

Accepted Answer

$$2$$

Answer

$$10$$

Answer

$$12$$

Answer

$$8$$

Question 8

Jednostavniji oblik algebarskog razlomka

$$\frac{36x^5y^{-2}z^{-5}}{42y^3x^4z^{-6}}$$ je

Accepted Answer

$$\frac{6xz}{7y^5}$$

Answer

$$\frac{9x^2y}{14z^2}$$

Answer

$$\frac{6x^3z^2}{7y^4}$$

Answer

$$\frac{4xz}{9y^5}$$

Question 9

Koliko je $$2\left(a+b\right)^2-\left(a^2-b^2\right)$$ ?

Accepted Answer

$$a^2+4ab+3b^2$$

Answer

$$a^2+3b^2$$

Answer

$$a^2+b^2$$

Answer

$$a^2+4ab+b^2$$

Question 10

Pojednostaviti $$\left[\frac{\left(x+y\right)^2-4y^2}{x^2-y^2}-\frac{x-y}{x+y}\right]:\frac{2y}{x+y}$$

Accepted Answer

$$2$$

Answer

$$\frac{2}{x+y}$$

Answer

$$\frac{2\left(x+3y\right)}{x+y}$$

Answer

$$\frac{1}{2y}$$

Question 11

Vrijednost korijena $$\sqrt{\ \frac{9}{4}}$$ je

Accepted Answer

$$\frac{3}{2}$$

Answer

$$1$$

Answer

$$\pm\ \frac{3}{2}$$

Answer

$$-\frac{3}{2}$$

Question 12

Saberi (oduzmi) korijene $$2\sqrt{\ 2}-\sqrt{\ 5}+\sqrt{\ 2}-2\sqrt{\ 5}$$

Accepted Answer

$$3\sqrt{\ 2}-3\sqrt{\ 5}$$

Answer

$$2\sqrt{\ 4}-3\sqrt{\ 10}$$

Answer

$$3\sqrt{\ 2}$$

Answer

$$6\sqrt{\ 2}-3\sqrt{\ 5}$$

Question 13

Podijeli korijene $$\sqrt[3]{54a^{11}b}:\sqrt[3]{9a^3b}$$

Accepted Answer

$$\sqrt[3]{6a^8}$$

Answer

$$\sqrt[3]{6a^8b}$$

Answer

$$\sqrt[3]{6a^{14}b^2}$$

Answer

$$\sqrt[3]{45a^8b}$$

Question 14

Saberi (oduzmi) $$2\sqrt{\ 2}-3\sqrt{\ 3}+5\sqrt{\ 27}-2\sqrt{\ 8}$$

Accepted Answer

$$-2\sqrt{\ 2}+12\sqrt{\ 3}$$

Answer

$$1$$

Answer

$$-6\sqrt{\ 2}+18\sqrt{\ 3}$$

Answer

$$2\sqrt{\ 22}$$

Question 15

Vrijednost izraza $$\sqrt{\ \sqrt{\ 2\sqrt{\ 2\sqrt{\ 2}}}}$$

Accepted Answer

$$\sqrt[16]{128}$$

Answer

$$\sqrt{\ 128}$$

Answer

$$\sqrt[8]{8}$$

Answer

$$\sqrt{\ 8}$$

Question 16

Stepen $$8^{-\frac{2}{3}}$$ u obliku korijena je

Accepted Answer

$$\sqrt[3]{\frac{1}{8^2}}$$

Answer

$$\sqrt{\ 8^3}$$

Answer

$$\sqrt[3]{8^2}$$

Answer

$$\sqrt{\ 8^{-3}}$$

Question 17

Izbaciti uljeza

Accepted Answer

$$2$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{9}$$

Answer

$$27$$

Answer

$$1$$

Question 18

Na kojoj slici je prikazan grafik funkcije $$f\left(x\right)=3^x$$

Accepted Answer

Question 19

Odrediti $$\cos\ \alpha\ $$ ako je $$\sin\ \alpha\ =\frac{6}{7},\ \alpha\ \in\ \left(\frac{\pi}{2},\pi\right)\ $$

Accepted Answer

$$-\frac{\sqrt{13}}{7}$$

Answer

$$-\frac{6}{7}$$

Answer

$$\frac{\sqrt{13}}{7}$$

Answer

$$\frac{\sqrt{13}}{6}$$

Answer

$$-\frac{\sqrt{13}}{6}$$

Question 20

$$\sin\ 30°$$

Accepted Answer

$$\frac{1}{2}$$

Answer

$$1$$

Answer

$$\frac{\sqrt{\ 3}}{3}$$

Answer

$$\frac{\sqrt{\ 2}}{2}$$

Question 21

$$\operatorname{ctg}\ \frac{\pi}{4}$$

Accepted Answer

$$1$$

Answer

$$\sqrt{\ 3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{\ 3}}{3}$$

Question 22

Na slici je prikazan grafik funkcije $$f\left(x\right)=\sin\ Bx+C$$

Accepted Answer

$$B=\frac{1}{2},\ C=1$$

Answer

$$B=\frac{\pi\ }{2},\ C=1$$

Answer

$$B=\frac{1}{2},\ C=2$$

Answer

$$B=1,\ C=\frac{1}{2}$$

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