Quiz about UAS MATEMATIKA PEMINATAN 2025

Question 1

$$Jika\ \sqrt[]{3^{4x-5}}=\sqrt[3]{3^{4x+5}}maka\ nilai\ 4x\ adalah...$$

Accepted Answer

$$25$$

Answer

$$35$$

Answer

$$15$$

Answer

$$5$$

Answer

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

Question 2

$$Nilai\ x\ yang\ memenuhi\ persamaan\ :\ 2^{2x}-10.2^{x-1}=-64\ adaalah...$$

Accepted Answer

$$0\ atau\ 8$$

Answer

$$-2\ atau\ -4$$

Answer

$$-2\ atau\ 4$$

Answer

$$2\ atau\ -4$$

Answer

$$2\ atau\ 4$$

Question 3

$$Nilai\ \left(x+y\right)\ yang\ merupakan\ solusi\ dari\ system\ persamaan\ eksponensial:$$

$$4^{x+1}+2^y=20$$

$$2^{x-1}-2^y=-3$$

$$adalah...$$

Accepted Answer

$$3$$

Answer

$$6$$

Answer

$$5$$

Answer

$$4$$

Answer

$$2$$

Question 4

$$Pertidaksamaan\ 3^{x^2-3x-5}>\ 3^{x^2-11}\ adalah...$$

Accepted Answer

$$x<\ 2\ atau\ x>\ 3$$

Answer

$$x<-3\ atau\ x>\ 2$$

Answer

$$-\ 2\ <x\ 2$$

Answer

$$-2<\ x\ <\ 3$$

Answer

$$2<\ x<\ 3$$

Question 5

$$Pertidaksamaan\ \left(\frac{1}{2}\right)^{x^2+3x-1}<\left(\frac{1}{2}\right)^{x^2-2x+4}\ adalah...$$

Accepted Answer

$$x>1$$

Answer

$$x<1$$

Answer

$$x<0$$

Answer

$$x>0$$

Answer

$$0<x<1$$

Question 6

$$Jika\ \sqrt[2]{2}\log9=k\ maka\ ^{27}\log_{\ \ }4=...$$

Accepted Answer

$$\frac{8}{9k}$$

Answer

$$\frac{k}{2}$$

Answer

$$\frac{8k}{9}$$

Answer

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

Answer

$$\frac{9}{8k}$$

Question 7

$$Penyelesaian\ pertidaksamaan\ \log_{\ }^2\ x\ -3\log\ x+2<0\ adalah..$$

Accepted Answer

$$10<x<100$$

Answer

$$1<x<2$$

Answer

$$1<x<10$$

Answer

$$x<1\ atau\ x>10$$

Answer

$$x<2\ atau\ x>10$$

Question 8

$$Diketahui\ vektor\ PQ=\left(2,0,1\right)\ dan\ vektor\ \ \overrightarrow{PR}=\left(1,1,2\right)\ Jika\ \overrightarrow{PS}=\frac{1}{2}\ $$

$$maka\ vektor\ \overrightarrow{RS}\ =...$$

Accepted Answer

$$\left(\frac{3}{2},1,0\right)$$

Answer

$$\left(0,-1,\frac{3}{2}\right)$$

Answer

$$\left(-1,0,\frac{3}{2}\right)$$

Answer

$$\left(\frac{1}{2},0,1\right)$$

Answer

$$\left(1,-1,1\right)$$

Question 9

Question 9.

Accepted Answer

$$3\ \sqrt[]{13}$$

Answer

$$\sqrt[]{5}$$

Answer

$$2\ \sqrt[]{13}$$

Answer

$$2\ \sqrt[]{41}$$

Answer

$$17$$

Question 10

Question 10.

Accepted Answer

$$-8\ dan\ 2$$

Answer

$$-8\ \ dan\ -2$$

Answer

$$-2\ dan\ 8$$

Answer

$$2\ dan\ 8$$

Answer

$$2$$

Question 11

Question 11.

Accepted Answer

$$\frac{5}{14}\ \sqrt[]{3}$$

Answer

$$\frac{7}{14}\sqrt[]{3}$$

Answer

$$\frac{14}{5}\ \sqrt[]{3}$$

Answer

$$\frac{5}{14}\ \sqrt[]{2}$$

Answer

$$\frac{5}{12}\ \sqrt[]{2}$$

Question 12

$$Diketahui\ A\ \left(1,2,3\right),\ B\ \left(3,3,1\right).C\left(7,5,3\right).\ Jika\ A,B\ dan\ C\ segaris\ \left(kolenier\right)$$

$$perbandingan\ AB\ :BC...$$

Accepted Answer

$$1\ :\ 2$$

Answer

$$2\ :\ 1$$

Answer

$$2\ :\ 5$$

Answer

$$5\ :7$$

Answer

$$7\ :\ 5$$

Question 13

$$\frac{\sin\ x\ .\ \cos\ x}{1-\sin^2x}=...$$

Accepted Answer

$$	an\ x$$

Answer

$$\operatorname{cosec}\ x$$

Answer

$$\sin\ x$$

Answer

$$\cos\ x$$

Answer

$$\operatorname{cotan}\ x$$

Question 14

$$Akar-akar\ persamaan\ \sin\ x=\sin40\degree,0\le\ x\ \le\ 360\degree\ adalah...$$

Accepted Answer

$$\left\{40\degree,140\degree\right\}$$

Answer

$$\left\{40\degree,140\degree,360\degree\right\}$$

Answer

$$\left\{0\degree,40\degree,140\degree\right\}$$

Answer

$$\operatorname{cotan}\ x$$

Answer

$$	an\ x$$

Question 15

$$Himpunan\ penyelesaian\ persamaan\ Trigonometri\ \sin\ x-2\ \sin^2x=0$$

$$untuk\ 0\ \le\ x\ \le2\pi\ adalah...$$

Accepted Answer

$$\left\{0,\frac{\pi}{6},\frac{5}{6},\pi,\pi\right\}$$

Answer

$$\left\{0,\frac{\pi}{6},\frac{5}{6},\pi\right\}$$

Answer

$$\left\{\frac{\pi}{6}\right\}$$

Answer

$$\left\{\frac{\pi}{6},\frac{5}{6},\pi,\pi\right\}$$

Answer

$$\left\{\frac{\pi}{6},\pi\right\}$$

Question 16

$$Apabila\ \sin\ A-\ \cos\ A\ =\ P,\ maka\ si\ 2A\ =...$$

Accepted Answer

$$1-P^2$$

Answer

$$1+P^2$$

Answer

$$P^2-1$$

Answer

$$P^2+1$$

Answer

$$P^2$$

Question 17

$$Persamaan\ Lingkaran\ yang\ berpusat\ di\ titik\ \left(-2,5\right)$$

$$dan\ melalui\ titik\ \left(3,-7\right)\ adalah..$$

Accepted Answer

$$x^2+y^2+4x-10y-140=0$$

Answer

$$x^2+y^2-4x-10y-140=0$$

Answer

$$x^2+y^2+4x-10y-198=0$$

Answer

$$x^2+y^2+10x-4y-140=0$$

Answer

$$x^2+y^2+10x-4y-198=0$$

Question 18

$$Persamaan\ Lingkaran\ dengan\ pusat\ di\ titik\ \left(2,-3\right)\ dan\ menyinggung$$

$$garis\ x\ =\ 5\ adalah...$$

Accepted Answer

$$x^2+y^2-4x+6y+4=0^{ }$$

Answer

$$x^2+y^2+4x-6y+9=0^{ }$$

Answer

$$x^2+y^2-4x+6y+9=0^{ }$$

Answer

$$x^2+y^2-4x-6y+9=0^{ }$$

Answer

$$x^2+y^2+4x-6y+4=0^{ }$$

Question 19

$$Salah\ satu\ persamaan\ garis\ \sin ggung\ lingkaran\ x^2+y^2-6x-4y+3=0$$

$$yang\ sejajar\ garis\ 3x-y-=0\ adalah...$$

Accepted Answer

$$3x-y-10=0$$

Answer

$$3x-y-21=0$$

Answer

$$3x-y-17=0$$

Answer

$$3x+y-17=0$$

Answer

$$3x+y+3=0$$

Question 20

$$Persamaan\ garis\ \sin gung\ pada\ lingkaran\ x^2+y^2-6x+4y+4=0\ yang\ tegak\ lurus$$

$$garis\ 5x+12y-12=0\ adalah...$$

Accepted Answer

$$12x-5y=7\ atau\ 12x-5y=85$$

Answer

$$12x+5y=7\ atau\ 12x+5y=85$$

Answer

$$12x+5y=7\ atau\ 12x-5y=85$$

Answer

$$12x-5y=7\ atau\ 12x+5y=85$$

Answer

$$12x-5y=7\ atau\ 5x+12y=85$$

Question 21

$$Suku\ banyak\ P\left(x\right)=x^4+x^2-1\ dan\ Q\left(x\right)=x^2-x.\ Jika\ P\left(x\right)\ dibagi\ Q\left(x\right)\ Maka\ sisanya,yaitu$$ $$polinom\ R\left(x\right)\ sama\ dengan...$$

Accepted Answer

$$x-1$$

Answer

$$-2x-1$$

Answer

$$-x+1$$

Answer

$$2x-1$$

Answer

$$2x+1$$

Question 22

$$Jika\ x^2-x-2\ merupakan\ faktor\ dari\ polinom\ P\left(x\right)=2x^4-3x^3+ax^2+bx+6$$

$$maka\ nilai\ a\ dan\ b\ berturut-\ turut\ adalah...$$

Accepted Answer

$$-6\ dan\ 5$$

Answer

$$18\ dan\ -21$$

Answer

$$16\ dan\ -17$$

Answer

$$6\ dan-7$$

Answer

$$5\ dan\ -6$$

Question 23

$$Hasil\ bagi\ dari\ pembagian\ suku\ banyak\ \ \left(x^6-1\right)\ adalah...$$

Accepted Answer

$$\left(x^2+x+1\right)\ \left(x^2-x+1\right)$$

Answer

$$\left(x^2+x+1\right)\left(x^2+x-1\right)$$

Answer

$$\left(x^2+x+1\right)\ \left(x^2-x-1\right)$$

Answer

$$\left(x^2-x+1\right)\ \left(x^2+x-1\right)$$

Answer

$$\left(x^2+x-1\right)\ \left(x^2-x-1\right)$$

Question 24

$$Sisa\ pembagian\ suatu\ suku\ banyak\ f\left(x\right)=x^3-3x^2+px+q\ oleh\ \left(x^2+x-2\right)adalah...$$

Accepted Answer

$$-3$$

Answer

$$-2$$

Answer

$$-1$$

Answer

$$0$$

Answer

$$1$$

Question 25

$$Turunan\ pertama\ dari\ fungsi\ y=\sin^4\ x\ adalah...$$

Accepted Answer

$$y$$

Question 26

$$Nilai\ suku\ banyak\ f\left(x\right)=3x^4-2x^3+4x^2+x-3\ untuk\ x=-2\ adalah...$$

Accepted Answer

$$91$$

Answer

$$43$$

Answer

$$45$$

Answer

$$54$$

Answer

$$75$$

Question 27

$$Nilai\ \lim_{x ightarrow0}\ \frac{\sin\ x}{ an\ x}+\frac{x}{\sin\ x}=....$$

Accepted Answer

$$2$$

Answer

$$-1$$

Answer

$$-2$$

Answer

$$1$$

Answer

$$3$$

Question 28

$$\lim_{x\rightarrow1}\ \frac{\left(3x+1\right)\ \sin\ \left(x-1\right)}{x^2+2x-3}\ bernilai...$$

Accepted Answer

$$1$$

Answer

$$0$$

Answer

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

Answer

$$2$$

Answer

$$-1$$

Question 29

$$Nilai\ dari\ \lim_{x\rightarrow\infty}\ \left(2+\cos\ \frac{4}{x}\right)\ adalah...$$

Accepted Answer

$$3$$

Answer

$$0$$

Answer

$$1$$

Answer

$$2$$

Answer

$$\infty$$

Question 30

$$Nilai\ dari\ \lim_{x ightarrow0}\ \frac{\cos\ 4x-1}{x. an\ 2x}=...$$

Accepted Answer

$$-4$$

Answer

$$4$$

Answer

$$2$$

Answer

$$-1$$

Answer

$$-2$$

Question 31

$$Turunan\ dari\ y=3\ \sin\ x-\cos\ x\ adalah\ y=...$$

Accepted Answer

$$3\cos\ x+\sin\ x$$

Answer

$$3\ \cos\ x-\sin\ x$$

Answer

$$\cos\ x-\sin\ x$$

Answer

$$\cos\ x+\sin\ x$$

Answer

$$5\ \cos\ x-\sin\ x$$

Question 32

$$Turunan\ dari\ x^2\ \sin\ x\ adalah\ h\left(x\right)=...$$

Accepted Answer

$$2x\sin x+x^2\ \cos\ x$$

Answer

$$-2x\cos x$$

Answer

$$-2x\sin x+x^2\ \cos\ x$$

Answer

$$-2x\sin x-x^2\ \cos\ x$$

Answer

$$-2x\sin x-x^2\ \cos\ x$$

Question 33

Accepted Answer

$$1,2,dan3$$

Answer

$$1dan3$$

Answer

$$2dan4$$

Answer

$$4\ saja$$

Answer

$$Semua\ pernyataan$$

Question 34

$$Persamaan\ garis\ yang\ menyinggung\ kurva=2x^3-4x+3\ pada\ titik\ dengan$$

$$absis-1\ adalah...$$

Accepted Answer

$$y=2x+7$$

Answer

$$y=-2x-2$$

Answer

$$y=-2x-1$$

Answer

$$y=2x-3$$

Answer

$$y=2x+2$$

Question 35

$$Seorang\ penjaga\ gawang\ profesional\ mampu\ menahan\ tendangan\ penalti\ dengan\ peluang$$

$$\frac{3}{5}\ Dalam\ sebuah\ kesempa an dilakukan\ 5\ kali\ tendangan.$$

$$Peluang\ penjaga\ gawang\ mampu\ menahan\ 3\ kali\ tendangan\ penalti\ tersebut\ adalah\dots$$

Accepted Answer

$$\frac{216}{625}$$

Answer

$$\frac{81}{125}$$

Answer

$$\frac{243}{3125}$$

Answer

$$\frac{162}{3000}$$

Answer

$$\frac{625}{216}$$

Question 36

$$Sebuah\ kantong\ berisi\ 3\ butir\ kelereng\ merah\ dan\ 5\ butir\ kelereng\ putih.Dari\ dalam\ kantong$$

$$tersebut\ diambil\ 2\ butir\ kelereng\ sekaligus.Variabel\ acak\ X\ menyatakan\ banyak\ kelereng$$

$$merah\ yang\ terambil.NilaiP(X=2)adalah\dots$$

Accepted Answer

$$\frac{3}{28}$$

Answer

$$\frac{5}{28}$$

Answer

$$\frac{9}{28}$$

Answer

$$\frac{11}{28}$$

Answer

$$\frac{7}{28}$$

Question 37

$$Untuk\ memperingati\ hari\ ulang\ tahun\ pernikahannya\ yangke-10,Didi\ dan\ Lala\ memesan\ 10\ \ $$

$$jenis\ buket\ bunga\ di\ AKMF\ lorist.$$

$$Pada\ setiap\ jenis\ buketnya,pasti\ terdapat\ bunga\ mawar\ merah\ dan\ mawar\ putih.Jumlah\ mawar$$ $$merah\ dan\ mawar\ putih\ pada\ setiap\ jenis\ buketnya\ memiliki\ makna\ tersendiri\ bagi\ mereka.$$ $$Diketahui\ bahwa\ jumlah\ mawar\ merah\ dan\ mawar\ putih\ pada\ buket$$

$$jeniske-n,berturut-turut\ diberikan\ oleh\ persamaan$$

$$m_{n\ =n^2-10n+26}$$

$$dan\ Pn=-n+18$$

$$Perlu\ diketahui\ bahwa\ titik\ puncak\ dari\ persamaan\ kuadrat\ y=ax^2+bx+c\ adalah$$

$$\left(\frac{-b}{2a},\frac{b^2-4ac}{-4ac}\right)$$

$$Buket\ bunga\ dengan\ jumlah\ mawar\ merah\ dan\ mawar\ putih\ yang\ sama\ banyak\ akan\ diletakkan$$ $$disudut\ kanan\ dan\ kiri\ ruangtamu.Buket\ bunga\ tersebut\ adalah\ jeniske-....$$

Accepted Answer

$$8$$

Answer

$$2$$

Answer

$$5$$

Answer

$$10$$

Answer

$$12$$

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