Quiz about PSAJ - MATEMATIKA PEMINATAN

Question 1

$$(3^{\sqrt{2}})^2$$ sama dengan ...

Accepted Answer

$$9^{\sqrt[]{2}}$$

Answer

$$9^{2\sqrt[]{2}}$$

Answer

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

Answer

$$3^2$$

Answer

$$6^{\sqrt[]{2}}$$

Question 2

Jika $$a=4^2$$ dan $$b=2^4$$ , maka ...

Accepted Answer

$$a=b$$

Answer

$$a>b$$

Answer

$$a<b$$

Answer

$$a\le b$$

Answer

$$a\ge b$$

Question 3

$$\frac{5^6}{5^{-3}}=\dots$$

Accepted Answer

$$5^9$$

Answer

$$5^5$$

Answer

$$5^6$$

Answer

$$5^7$$

Answer

$$5^8$$

Question 4

Berapakah hasil dari $$2^{-4} imes2^6$$ ?

Accepted Answer

4

Answer

2

Answer

8

Answer

16

Answer

32

Question 5

Jika $$5^x=625$$ , maka nilai $$x=...$$

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Answer

5

Question 6

Nilai logaritma dari $$^3\log54+^3\log⁡18-^3\log⁡12$$ adalah ...

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Answer

5

Question 7

Nilai da $$^5\log⁡25 imes^{25}\log⁡125$$

Accepted Answer

3

Answer

5

Answer

4

Answer

2

Answer

1

Question 8

Berapakah nilai x, jika diketahui persamaan $$\log⁡100=2x$$

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Answer

4

Question 9

Diketahui suku banyak $$P(x)=-2x^3+3x^2-4x+5.$$ Nilai dari $$\left(2\right)$$ adalah...

Accepted Answer

-7

Answer

8

Answer

7

Answer

0

Answer

-8

Question 10

Accepted Answer

Question 11

Accepted Answer

26

Answer

27

Answer

28

Answer

29

Answer

30

Question 12

Sebuah titik $$P(-1,5)$$ dicerminkan terhadap garis $$y+x=0.$$ Bayangan titik P adalah ...

Accepted Answer

$$P$$

Question 13

Titik $$A(\sqrt{3},1)$$ dirotasikan pada pusat rotasi $$O\left(0,0\right)$$ dengan sudut rotasi $$60\degree.$$ Bayangan titik $$A$$ adalah ...

Accepted Answer

$$(0,2)$$

Answer

$$(-1,-\sqrt{3})$$

Answer

$$(0,-2)$$

Answer

$$(1,\sqrt{3})$$

Answer

$$\left(2,0\right)$$

Question 14

Bayangan titik $$A\left(-5,-2\right)$$ oleh dilatasi pada pusat $$P\left(0,0\right)$$ dengan faktor skala $$-2$$ adalah ...

Accepted Answer

$$A$$

Question 15

Nilai $$ an⁡330°- an⁡60°=\dots$$

Accepted Answer

$$-\frac{4}{3}\sqrt[]{3}$$

Answer

$$-\frac{2}{3}\sqrt[]{3}$$

Answer

$$\frac{1}{3}\sqrt[]{3}$$

Answer

$$\frac{2}{3}\sqrt[]{3}$$

Answer

$$\frac{1}{3}\sqrt[]{3}$$

Question 16

$$\cos⁡(-610)°$$ ekuivalen dengan ...

Accepted Answer

$$\cos\ 70\degree$$

Answer

$$\cos\ 50\degree$$

Answer

$$-\cos\ 40\degree$$

Answer

$$-\cos\ 50\degree$$

Answer

$$-\cos\ 70\degree$$

Question 17

Pada segitiga ABC, diketahui panjang sisi BC = 18 cm. Jika besar $$\angle BAC=110\degree$$ dan $$\angle ABC=120\degree$$ , maka panjang sisi AC = ...

Accepted Answer

$$18 an⁡20°$$

Answer

$$18\sin70°$$

Answer

$$18\ an\ 70\degree$$

Answer

$$18\ \cot\ 70\degree$$

Answer

$$18\ \sin20\degree\sin110\degree$$

Question 18

Pada segitiga PQR dengan $$\angle Q=105\degree,\ \angle R=45\degree$$ dan panjang $$PQ=10\ \sqrt[]{2}\ cm$$ , maka panjang QR = ...

Accepted Answer

$$10\ cm$$

Answer

$$5\ cm$$

Answer

$$5\sqrt[]{2}\ cm$$

Answer

$$10\ \sqrt[]{3}\ cm$$

Answer

$$20\ cm$$

Question 19

Accepted Answer

(7,-7)

Answer

(-3,-7)

Answer

(7,5)

Answer

(-3,5)

Answer

(-3,7)

Question 20

Diketahui $$P(-1,2,7),\ Q(2,1,4)$$ dan $$R(6,-3,2).$$ Apabila $$\overrightarrow{PQ}$$ wakil dari $$\overrightarrow{u}$$ dan $$\overrightarrow{QR}$$ wakil dari $$\overrightarrow{v}$$ , maka $$\overrightarrow{u}\ .\ \overrightarrow{v}\ =\ ...$$

Accepted Answer

22

Answer

-2

Answer

10

Answer

14

Answer

30

Question 21

Vektor $$u⃗=2pi⃗+pj⃗-6k⃗$$ tegak lurus terhadap vektor $$v⃗=pi⃗-5j⃗+2k⃗.$$ Nilai p adalah ...

Accepted Answer

$$-\frac{3}{2}\ atau\ 4$$

Answer

$$-4\ atau\ \frac{3}{2}$$

Answer

$$-3\ atau\ 2$$

Answer

$$-\frac{2}{3}\ atau\ 4$$

Answer

$$2-\sqrt{5}\ atau\ 2+\sqrt{5}$$

Question 22

Persamaan lingkaran yang berpusat di (5,4) dan berjari-jari 6 adalah ...

Accepted Answer

$$(x-5)^2+(y-4)^2=36$$

Answer

$$(x-4)^2+(y-5)^2=6$$

Answer

$$(x-4)^2+(y-5)^2=36$$

Answer

$$(x-5)^2+(y-5)^2=6$$

Answer

$$(x+5)^2+(y+4)^2=36$$

Question 23

Persamaan lingkaran dengan pusat (-3,4) dan menyinggung sumbu Y adalah ...

Accepted Answer

$$(x+3)^2+(y-4)^2=9$$

Answer

$$(x-3)^2+(y-4)^2=9$$

Answer

$$(x-3)^2+(y-4)^2=16$$

Answer

$$(x+3)^2+(y-4)^2=16$$

Answer

$$(x+3)^2+(y+4)^2=16$$

Question 24

Persamaan garis singgung lingkaran $$x^2+y^2=25$$ dengan gradien $$-2$$ adalah ...

Accepted Answer

$$y=-2x\pm5\sqrt{5}$$

Answer

$$y=2x\pm5\sqrt{5}$$

Answer

$$y=2x\pm5\sqrt{3}$$

Answer

$$y=-2x\pm5\sqrt{3}$$

Answer

$$y=-2x\pm3\sqrt{5}$$

Question 25

$$\lim_{x\rightarrow4}\ \frac{\sqrt{x}-2}{x-4}=...$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

Question 26

$$\lim_{x\rightarrow\infty}\sqrt{2x^2+3x-1}-\sqrt{2x^2-5x+3}=...$$

Accepted Answer

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

Answer

$$4\sqrt[]{2}$$

Answer

$$2$$

Answer

$$\sqrt[]{2}$$

Answer

$$\frac{1}{2}\sqrt[]{2}$$

Question 27

$$\lim_{x\rightarrow0}\ \frac{x\ \sin\ x}{1-\cos\ 2x}=...$$

Accepted Answer

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

Answer

$$-1$$

Answer

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

Answer

$$0$$

Answer

$$1$$

Question 28

Turunan pertama fungsi $$f(x)=x^3-2x^2+3x-10$$ pada x=1 adalah ...

Accepted Answer

2

Answer

10

Answer

6

Answer

4

Answer

1

Question 29

Turunan fungsi $$f(x)=\frac{4}{x^2},\ x e0\ $$ adalah $$f$$

Accepted Answer

$$-\frac{8}{x^3}$$

Answer

$$\frac{4}{x}$$

Answer

$$\frac{2}{x}$$

Answer

$$-\frac{4}{x^3}$$

Answer

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

Question 30

Jika $$y=\sin⁡(3x^2-1),$$ maka $$\frac{dy}{dx}=...$$

Accepted Answer

$$6x\cos⁡(3x^2-1)$$

Answer

$$\cos⁡(3x^2-1)$$

Answer

$$6\cos⁡(3x^2-1)$$

Answer

$$6\cos⁡6x$$

Answer

$$\cos⁡(6x-1)$$

Question 31

Hasil dari $$\int\left(2x+6\sin⁡x\right)\ dx=...$$

Accepted Answer

$$2x^2-6\cos⁡x+C$$

Answer

$$2x^2+6\cos⁡x+C$$

Answer

$$x^2+6\cos⁡x+C$$

Answer

$$x^2-6\cos⁡x+C$$

Answer

$$\frac{1}{2}x^2+6\cos⁡x+C$$

Question 32

Hasil dari $$\int x\sqrt{16-x^2}dx=...$$

Accepted Answer

$$-\frac{1}{3}(16-x^2)\sqrt{16-x^2}+C$$

Answer

$$(16-x^2)\sqrt{16-x^2}+C$$

Answer

$$\frac{1}{2}(16-x^2)\sqrt{16-x^2}+C$$

Answer

$$\frac{1}{3}(16-x^2)\sqrt{16-x^2}+C$$

Answer

$$-\frac{1}{2}(16-x^2)\sqrt{16-x^2}+C$$

Question 33

Hasil dari $$\int\left(\ x^3-\frac{2}{x^2}+3\right)dx=...$$

Accepted Answer

$$\frac{1}{4}x^4+\frac{2}{x}+3x+C$$

Answer

$$4x^4+\frac{2}{x}+3x+C$$

Answer

$$3x^4-\frac{2}{x}+3x+C$$

Answer

$$x^4-\frac{2}{x}+3x+C$$

Answer

$$3x^4+\frac{2}{x}+3x+C$$

Question 34

Manakah dari pernyataan berikut yang merupakan variabel acak kontinue?

Accepted Answer

Tinggi pohon di Kebun Raya Bogor

Answer

Banyak mobil pelat B yang terparkir di halaman sekolah

Answer

Jumlah pengunjung wisata di Ancol pada hari libur

Answer

Banyak peserta laki-laki yang lulus seleksi awal Olimpiade Matematika tingkat Nasional

Answer

Jumlah pasien penyakit mata di Rumah Sakit Kabupaten Malang

Question 35

Pada pelemparan dua buah dadu, nilai dari variabel acak (X) yang menyatakan jumlah kedua mata dadu yang muncul adalah ...

Accepted Answer

$$R_x=\left\{2,3,4,5,6,7,8,9,10,11,12\right\}$$

Answer

$$R_x=\left\{2,3,4,5,6,7,8,9,10,11\right\}$$

Answer

$$R_x=\left\{1,2,3,4,5,6,7,8,9,10,11\right\}$$

Answer

$$R_x=\left\{2,3,4,5,6,7,8,9,10,11,12,13\right\}$$

Answer

$$R_x=\left\{0,1,2,3,4,5,6,7,8,9,10,11,12\right\}$$

Question 36

gambar

Accepted Answer

$$\frac{1}{8}$$

Answer

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

Answer

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

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{7}$$

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics