Quiz about PAT MATEMATIKA KELAS X/1

Question 1

$$Jika\ x^{\frac{1}{2}}+x^{-\frac{1}{2}}=4,\ maka\ nilai\ dari\ x^{-1}+x\ adalah\dots..$$

Accepted Answer

14

Answer

7

Answer

10

Answer

16

Answer

18

Question 2

$$Diketahui\ x=2-\sqrt{3}.\ Nilai\ dari\ 4^{x^2-4x}\ adalah\ ......$$

Accepted Answer

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

Answer

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

Answer

4

Answer

0

Answer

3

Question 3

$$Bentuk\ sederhana\ dari\ \frac{6}{\sqrt[]{6}+2}adalah\dots\dots$$

Accepted Answer

$$3\left(\sqrt[]{6}-2\right)$$

Answer

$$3\left(2-\sqrt[]{6}\right)$$

Answer

$$3+\sqrt[]{6}$$

Answer

$$3\left(4+\sqrt[]{6}\right)$$

Answer

$$3\sqrt[]{6}$$

Question 4

$$Jika\ diketahui\ 27^{\frac{1}{3}}=3,maka\ bentuk\ \log aritmanya\ adalah\dots.$$

Accepted Answer

$$^{27}\log3=\frac{1}{3}$$

Answer

$$^{27}\log\frac{1}{3}=3$$

Answer

$$^3\log27=\frac{1}{3}$$

Answer

$$^{\frac{1}{3}}\log27=3$$

Answer

$$^{\frac{1}{3}}\log27=\frac{1}{3}$$

Question 5

$$Hasil\ dari\ ^3\log27+^4\log16+^6\log216-^5\log125\ adalah\dots$$

Accepted Answer

5

Answer

3

Answer

4

Answer

6

Answer

7

Question 6

$$Diketahui\ ^y\log\left(3x-2\right)\cdot^7\log y=2,\ maka\ nilai\ dari\ x+1\ adalah\ .......$$

Accepted Answer

18

Answer

15

Answer

16

Answer

17

Answer

19

Question 7

$$Diketahui\ barisan\ aritmatika\ dengan\ U_{n\ }adalah\ suku\ ke-n.\ jika\ U_2+U_{15}+U_{40}=165,\ maka\ nilai\ dari\ U_{19\ }adalah\ .....$$

Accepted Answer

55

Answer

29

Answer

35

Answer

49

Answer

65

Question 8

Jumlah penduduk suatu kota menjadi dua kali lipat setelah 10 tahun, Tahun 2010 diperkirakan jumlah penduduk mencapai 3,2 juta jiwa. Berarti pada tahun 1960 jumlah penduduk kota itu baru mencapai ....... jiwa.

Accepted Answer

100.000

Answer

120.000

Answer

160.000

Answer

200.000

Answer

400.000

Question 9

$$Suatu\ deret\ aritmatika\ U_4=2\ dan\ bedanya\ (-2),\ Jumlah\ 10\ suku\ pertamanya\ adalah\ .......$$

Accepted Answer

-10

Answer

-18

Answer

-16

Answer

-12

Answer

-8

Question 10

$$Jumlah\ tak\ hingga\ deret\ geometri\ 6+2+\frac{2}{3}+\frac{2}{9}+\dots\ adalah\ ......$$

Accepted Answer

$$9$$

Answer

$$8^{\frac{1}{4}}$$

Answer

$$9^{\frac{1}{2}}$$

Answer

$$8^{\frac{1}{2}}$$

Answer

$$8$$

Question 11

Sebuah bola dijatuhkan dari ketinggian 1 m, setiap kali memantul mencapai ketinggian 2/3 m dari tinggi sebelumnya. Panjang lintasan bola hingga berhenti adalah ...... m.

Accepted Answer

7

Answer

20

Answer

10

Answer

9

Answer

5

Question 12

$$Hasil\ dari\ \overline{a}+\overline{b}\ ,\ jika\ diketahui\ \overline{a}\ =\ \left(_4^{-1}\right)\ dan\ \overline{b}\ =4\overline{i}\ -3\overline{j}\ adalah\ ......$$

Accepted Answer

[3 1]

Answer

[1 4]

Answer

[-3 1]

Answer

[4 1]

Answer

[-1 3]

Question 13

Accepted Answer

$$\overline{i}\ +\ \overline{k}$$

Answer

$$7\overline{i}\ +\ \overline{k}$$

Answer

$$7\overline{i}\ -\ \overline{k}$$

Answer

$$\overline{i}\ -\ \overline{k}$$

Answer

$$\overline{i}\ +\ 7\overline{k}$$

Question 14

$$Diketahui\ \overline{a}\ =4\overline{i}-\overline{j}\ +2\overline{k}\ dan\ \overline{b}=3\overline{i}-\overline{k}.\ Hasil\ dari\ a-b\ adalah\ ......$$

Accepted Answer

Question 15

$$Diketahui\ panjang\ vektor\ \overline{a}\ dan\ \overline{b}\ sama\ yaitu\ 5.\ Jika\ vektor\ \overline{a}\ tegak\ lurus\ dengan\ \overline{b},\ maka\ \left|\overline{a}\ -\overline{b}\right|adalah.....$$

Accepted Answer

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

Answer

$$\sqrt[]{2}$$

Answer

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

Answer

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

Answer

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

Question 16

$$Modulus\ dari\ vektor\ \overline{a}=4\overline{i}-3\overline{j}\ adalah\ .....$$

Accepted Answer

5

Answer

7

Answer

12

Answer

15

Answer

25

Question 17

$$Hasil\ dari\ \overline{a}\ -\overline{b},\ jika\ vektor\ \overline{a}=5\overline{i}+2\overline{j}\ dan\ \overline{b}=\left(2,1,-1\right)\ adalah\ .....$$

Accepted Answer

Question 18

$$Pada\ segitiga\ siku-siku,\ jika\ diketahui anα=\frac{8}{6},\ maka\ nilai\cosα\ adalah\ ....$$

Accepted Answer

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

Answer

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

Answer

$$\frac{6}{8}$$

Answer

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

Answer

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

Question 19

$$Diketahui\ segitiga\ PQR\ yang\ siku-siku\ di\ Q\ dan\ \sin\ P=\frac{3}{5}.\ Jika\ panjang\ PR=10cm,\ maka\ luas\ segitga\ PQR\ adalah\ .....\ cm^2.$$

Accepted Answer

24

Answer

12

Answer

32

Answer

42

Answer

48

Question 20

$$Nilai\ dari\ \cos\ 60\degree.\sin45\degree-\sin60\degree.\cos45\degree\ adalah\ .....$$

Accepted Answer

$$\frac{1}{4}\ \sqrt[]{2}\left(1-\sqrt[]{3}\right)\ $$

Answer

$$\frac{1}{4}\ \sqrt[]{6}$$

Answer

$$\frac{1}{2}\ \sqrt[]{6}$$

Answer

$$\frac{1}{4}\ \sqrt[]{6}+\frac{1}{2}\ \sqrt[]{2}$$

Answer

$$\frac{1}{4}\sqrt[]{2}\left(\sqrt[]{3-1}\right)\ $$

Question 21

$$Jika\sin\ X=\frac{\sqrt[]{2}}{2},\ maka\ nilai\cos X\ adalah\ .....$$

Accepted Answer

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

Answer

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

Answer

$$1$$

Answer

$$\sqrt[]{2}$$

Answer

$$2$$

Question 22

$$Diketahui\ pada\ segitiga\ siku-siku,\ Tan\ A=\frac{6}{8},\ nilai\ dari\ \sin A+\cos A\ adalah\ ....$$

Accepted Answer

$$\frac{7}{5}$$

Answer

$$\frac{7}{8}$$

Answer

$$\frac{7}{10}$$

Answer

$$\frac{12}{25}$$

Answer

$$\frac{7}{25}$$

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