
1. Nilai dari
a. 

b. 

c. 

d. 

e. 

2. Nilai dari

a. 7
b. 

c. 2
d. 1
e. 

3. Penyelesaian pertidaksamaan
- 5
+ 8 ≥ 0 adalah ....


. a. x ≤ 0 atau x ≥ 2
b. x ≤ 1 atau x ≥ 4
c. x ≤ 2 atau x ≥ 4
d. 0 ≤ x ≤ 2
e. 1 ≤ x ≤ 4
4. Penyelesaian dari : 2log(x – 2) + 2log (x – 3) £ 1 adalah ....
a. x ³ 4
b. 1 £ x £ 4
c. 1 < x < 4
d. 3 < x £ 4
e. 3 £ x £ 4
5. Pertidaksamaan yang memenuhi daerah yang di arsir pada gambar berikut adalah ....

a. 

b. 

c. 

d. 

e. 

6. Suku banyak f(x) =
+
7x + 4 jika di bagi (3x – 1) bersisa 2 dan jika f(x) di bagi (x + 2) hasil baginya adalah ....


a.

b. 

c. 

d. 

e. 

7. Diketahui matriks A =
, B =
dan A
adalah transpose dari matriks A.



Jika A.X = B + A
, maka determinan matriks X adalah ….

a. 10
b. 14
c. 21
d. 24
e. 48
8. Penyelesaian dari suatu pertidaksamaan
adalah ....


a. x
-4 atau 2
x
6



b. -4
x
2 atau x
6



c. -4
x
2


d. -4
x
6


e. x
-4 atau x
6


9. Penyelesaian dari suatu pertidaksamaan │4x + 7│> │2x - 1│adalah ....
a. -4 < x < -1
b. 1 < x < 4
c. -1 < 4 x <4
d. x < -4 atau x > -1
e. x < 1 atau x > 4
10. Modal sebesar Rp7500.000,00 di bungakan dengan suku bunga tunggal 4
percatur wulan selama 1 tahun 4 bulan. Besar modal akhirnya adalah ....

a. Rp.7.900.000,00
b. Rp.8.100.000,00
c. Rp.8.300.000,00
d. Rp.8.500.000,00
e. Rp.8.700.000,00
11. Nilai dari 

a. 7
b. 3
c. -3
d. -5
e. -7
12. Nilai dari 
= ....


a. -1
b. - 

c. 0
d. 

e. 1
13. Ditentukan
. Fungsi akan turun pada interval ….

a. –1 < x < 2
b. 1 < x < 2
c. –2 < x <-1
d. x < –2 atau x > -1
e. x < 1 atau x > 2
14.Persamaan garis singgung kurva y =
di titik yang berbasis
memotong


sumbu Y pada koordinat ....
a. (0 ,
)

b. (0 ,
)

c. (0 ,
)

d. (0 ,
)

e. (0 ,
)

15.Titik minimum fungsi f(x) = 2 +
adalah ....

a. (

b. (

c. (

d. (

e. (

16.Suatu perusahaan memproduksi x unit barang dengan biaya (4
– 8x + 24) untuk tiap unit. Jika barang tersebut terjual habis dengan harga Rp. 40.000,00 tiap unit, keuntungan maksimum yang diperoleh perusahaan tersebut adalah ....

a. Rp. 16.000,00
b. Rp. 32.000,00
c. Rp. 48.000,00
d. Rp. 52.000,00
e. Rp. 64.000,00
17.Hasil dari
- 2) sin x dx = ....

a. 2x sin x – cos x + c
b. (4 -
) sin x + 2x cos x + c

c. (4 -
) cos x + 2x sin x + c

d.
sin x + 2x cos x + c

e.
cos x + 2x sin x + c

18.Luas daerah yang dibatasi kurva
adalah ... satuan luas.

a. 

b. 

c. 

d. 

e. 

19. Volume benda putar yang terjadi jika daerah yang dibatasi oleh kurva y = 2x -
dan y = 2 – x diputar mengelilingi sumbu x sejauh 360
adalah ... satuan volume.


a.

b.

c.

d.

e.

20.Diketahui kubus ABCD.EFGH memiliki panjang rusuk 6 cm. Jarak titik C ke garis AH adalah ....
a.
cm

b.
cm

c.
cm

d.
cm

e.
cm

21.Diketahui limas segi empat beraturan T.ABCD. Panjang rusuk tegak 12 cm dan panjang rusuk alas 12 cm. Sudut antara garis TC dan bidang alas ABCD adalah ....
a. 15

b. 30

c. 45

d. 60

e. 90

22.Diketahui segi enam beraturan. Jika jari-jari lingkaran luar segi enam beraturan adalah 10 satuan, maka luas segi enam beraturan tersebut adalah... satuan luas.
a.150
b.150

c.150

d.300
e.300

23.Persamaan bayangan garis 5x + 3y – 7 = 0 oleh pencerminan terhadap sumbu y dilanjutkan rotasi yang berpusat di O(0,0) sebesar 90
adalah ....

a. 5y + 3x – 7 = 0
b. 5y – 3x – 7 = 0
c. 5y – 3x + 7 = 0
d. -5y + 3x – 7 = 0
e. 5y + 3x + 7 = 0
24.(1 -
)
x = ....


a.
x

b.
x

c. sin x
d. cos x
e. cosec x
25.Persamaan grafik fungsi trigonometri berikut adalah ....

a. y = -2 sin (2x + 30) 

b. y = 2 cos (2x – 30) 

c. y = 2 sin (2x – 15) 

d. y = -2 sin (2x – 15) 

e. y = -2 cos (2x – 30) 

26. Himpunan penyelesaian persamaan cos 2x – 3 cos x + 2 = 0 untuk 0
x
360
adalah ....




a. 

b. 

c. 

d. 

e. 

27. Jika cos A =
dan sin B =
, nilai sin (A + B) = ....


a.

b. 

c. 

d. 

e. 

28. Nilai
= ....

a. 1
b. 

c. - 

d. -1
e. -2
29.Persamaan elips dengan titik pusat (0,0), titik fokus (10,0) dan panjang sumbu mayor 24 adalah. . . .
a.
= 1

b.
= 1

c.
= 1

d.
= 1

e.
= 1

30.Persamaan lingkaran yang berpusat pada titik (8,-6) dan berdiameter 6 cm adalah ....
a.
- 16x – 12y = 0


b.
+ 16x – 12y + 100 = 0


c.
+ 16x + 12y + 100 = 0


d.
+ 16x – 12y + 91 = 0


e.
- 16x + 12y + 91 = 0


31.Kedudukan lingkaran
- 10x + 4y – 20 = 0
+ 14x - 6y + 22 = 0 adalah ....








a. Saling bersinggungan di dalam
b. Saling bersinggungan di luar
c
berada di dalam 


d. Saling lepas
e. Berpotongan di dua titik
32. Diketahui vektor
= 4
+ 2
+ 2
dan vektor
= 3
+ 3
.Besar sudut antara vektor
dan
adalah ....









a. 30

b. 45

c. 60

d. 90

e. 120

33.Dari sebuah kantong yang berisi 3 kelereng merah dan 4 kelereng putih diambil 2 kelereng sekaligus,variabel acak X menyatakan banyak kelereng merah yang terambil. Nilai P(X=2) adalah ....
a. 

b.

c.

d.

e.

34. Sebuah dadu dilemparkan 20 kali. Peluang di peroleh hasil 6 sebanyak 12 kali dapat dituliskan ....
a.
x (
x ( 



b.
x (
x ( 



c.
x (
x ( 



d.
x (
x ( 



e.
x (
x ( 



35.Manajemen Perumka mulai tahun 1992 melakukan pemeriksaan karcis KRL lebih intensif dibanding tahun-tahun sebelumnya. Pemeriksaan karcis yang intensif berpengaruh positif terhadap penerimaan Perumka. Penerimaan Perumka pertahun sebelum intensifikasi pemeriksaan karcis dilakukan adalah sebesar Rp. 2.000.000,00. Hipotesis
dan
yang tepat untuk kondisi di atas adalah. . . .


a.
= 2 juta dan
2 juta


b.
= 2 juta dan
2 juta


c.
= 2 juta dan
2 juta



d.
= 2 juta dan
2 juta


e.
= 2 juta dan
2 juta


B. Jawablah soal-soal berikut dengan singkat dan tepat !
1. Tentukan himpunan penyelesaian sistem persamaan berikut !

2. Diketahui matriks A = =
, B =
dan C =
matriks
adalah




transpose dari matriks C, jika A+B = 2
maka tentukan nilai p + 2q + r !

3. Diketahui y =
. Tentukan turunan y !

4. Tentukan hasil dari
2x cos 2x dx !

5. Sebuah kotak mainan berisi 4 bola kuning dan 5 bola hijau. Amir mengambil satu bola secara acak dan di gunakan untuk bermain. Melihat Amir mengambil bola, Budi juga mengambil bola secara acak. Mereka bermain bola bersama. Hitung peluang Amir dan Budi mengambil bola warna hijau !
0 Response to "SOAL USBN SMA/MA MATEMATIKA MINAT PAKET 2"
Post a Comment
sumonggo tinggalkan salam