Matura (marzec 2021, poziom podstawowy, próbna)

$8-6\sqrt{3}$8-6\sqrt{3}

$8-2\sqrt{3}$8-2\sqrt{3}

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

$8-4\sqrt{3}$8-4\sqrt{3}

$\displaystyle -\log_5 \frac{7}{2}$\displaystyle -\log_5 \frac{7}{2}

$7\log_52$7\log_52

$-\log_52$-\log_52

$\log_52$\log_52

$63{,}84\ \text{zł}$63{,}84\ \text{zł}

$65{,}40\ \text{zł}$65{,}40\ \text{zł}

$76{,}00\ \text{zł}$76{,}00\ \text{zł}

$66{,}40\ \text{zł}$66{,}40\ \text{zł}

$b^2$b^2

$b^{0{,}25}$b^{0{,}25}

$\displaystyle b^{ \frac{8}{3} }$\displaystyle b^{ \frac{8}{3} }

$\displaystyle b^{ \frac{4}{3} }$\displaystyle b^{ \frac{4}{3} }

$2$2

$-2$-2

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

$-\sqrt{2}$-\sqrt{2}

$-8$-8

$-4$-4

$4$4

$8$8

$\displaystyle \left(-\infty, \frac{2}{7} \right)$\displaystyle \left(-\infty, \frac{2}{7} \right)

$\displaystyle \left( \frac{2}{7},+\infty \right)$\displaystyle \left( \frac{2}{7},+\infty \right)

$\displaystyle \left(-\infty, \frac{3}{8} \right)$\displaystyle \left(-\infty, \frac{3}{8} \right)

$\displaystyle \left( \frac{3}{8},+\infty \right)$\displaystyle \left( \frac{3}{8},+\infty \right)

$a=-1$a=-1

$a=0$a=0

$a=1$a=1

$a=3$a=3

Dziedziną funkcji $𝑓$𝑓 jest przedział $(−4, 5)$(−4, 5).

Funkcja $𝑓$𝑓 ma dwa miejsca zerowe.

Funkcja $𝑓$𝑓 dla argumentu $1$1 przyjmuje wartość $(−1)$(−1).

Zbiorem wartości funkcji $𝑓$𝑓 jest przedział $\left(-4,5\right]$\left(-4,5\right]

$\displaystyle \frac{1}{5}$\displaystyle \frac{1}{5}

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

$1$1

$2$2

$3 \cdot 64$3 \cdot 64

$\displaystyle \frac{64}{3}$\displaystyle \frac{64}{3}

$4$4

$3$3

$\displaystyle \frac{5}{3}$\displaystyle \frac{5}{3}

$2$2

$6$6

$25$25

$20^\circ$20^\circ

$25^\circ$25^\circ

$30^\circ$30^\circ

$35^\circ$35^\circ

Ciąg $\left(a_n\right)$\left(a_n\right) jest arytmetyczny.

Ciąg $\left(b_n\right)$\left(b_n\right) jest arytmetyczny.

Ciąg $\left(c_n\right)$\left(c_n\right) jest arytmetyczny.

Wśród ciągów $\left(a_n\right)$\left(a_n\right), $\left(b_n\right)$\left(b_n\right), $\left(c_n\right)$\left(c_n\right) nie ma ciągu arytmetycznego.

$-24$-24

$-17$-17

$-32$-32

$-23$-23

$3$3

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

$\displaystyle \frac{3}{4}$\displaystyle \frac{3}{4}

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

$9:4$9:4

$4:1$4:1

$4:9$4:9

$3:2$3:2

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

$\sqrt{13}$\sqrt{13}

$\sqrt{17}$\sqrt{17}

$6\sqrt{2}$6\sqrt{2}

$\displaystyle \cos\alpha= \frac{1}{5}$\displaystyle \cos\alpha= \frac{1}{5}

$\displaystyle \cos\alpha= -\frac{1}{5}$\displaystyle \cos\alpha= -\frac{1}{5}

$\displaystyle \cos\alpha= -\frac{3}{5}$\displaystyle \cos\alpha= -\frac{3}{5}

$\displaystyle \cos\alpha= \frac{3}{5}$\displaystyle \cos\alpha= \frac{3}{5}

$\displaystyle \frac{4}{3}$\displaystyle \frac{4}{3}

$\displaystyle \frac{6}{10}$\displaystyle \frac{6}{10}

$\displaystyle \frac{3}{4}$\displaystyle \frac{3}{4}

$\displaystyle \frac{8}{10}$\displaystyle \frac{8}{10}

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

$\displaystyle - \frac{1}{6}$\displaystyle - \frac{1}{6}

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

$-5$-5

$y=3x+5$y=3x+5

$\displaystyle y=- \frac{1}{5}x+3$\displaystyle y=- \frac{1}{5}x+3

$y=5x-10$y=5x-10

$\displaystyle y=- \frac{1}{5}x+ \frac{28}{5}$\displaystyle y=- \frac{1}{5}x+ \frac{28}{5}

$\displaystyle \frac{a-b}{2} \cdot \sqrt{3}$\displaystyle \frac{a-b}{2} \cdot \sqrt{3}

$\displaystyle \frac{a-b}{6} \cdot \sqrt{3}$\displaystyle \frac{a-b}{6} \cdot \sqrt{3}

$\displaystyle \frac{a+b}{2}$\displaystyle \frac{a+b}{2}

$\displaystyle \frac{a+b}{4}$\displaystyle \frac{a+b}{4}

$125$125

$75$75

$375\sqrt{3}$375\sqrt{3}

$125\sqrt{3}$125\sqrt{3}

$3:1$3:1

$1:3$1:3

$9:1$9:1

$1:9$1:9

$85$85

$90$90

$100$100

$150$150

$\displaystyle \frac{2}{5}$\displaystyle \frac{2}{5}

$\displaystyle \frac{5}{100}$\displaystyle \frac{5}{100}

$\displaystyle \frac{5}{90}$\displaystyle \frac{5}{90}

$\displaystyle \frac{18}{90}$\displaystyle \frac{18}{90}

$x=6$x=6

$x=5{,}5$x=5{,}5

$x=2{,}5$x=2{,}5

$x=1$x=1