Pembahasan SNMPTN 2012 Mat Dasar Kode 322 jogjastudent.com

(1)

322

Halaman 1 2

2 2 1

2 2 1 1

4 28 64

8 4 28 8

X X

f f

X f X f X

+ =

+ + =

8 0 , 8

4 0 , 7

2 1 1 1

= + = = =

f f X f X

+

3 9

0 2 6

y

x

A B

C

PEMBAHASAN SELEKSI NASIONAL MASUK PERGURUAN TINGGI NEGERI (SNMPTN)

Mata Pelajaran : Matematika Dasar

Tanggal

: 12 juni 2012

Kode Soal

: 322

1. Jawab: D

Bilangan Real

(

)

19

19 19 20

2 1 2 2 2

2 − = − =

=

b

a

2 =

a dan b=19, maka a=b=21

2. Jawab: E

Statistika

0 , 2

9 ₂ ₁

2= X −X =

X

3. Jawab: D

Persamaan Kuadrat

0 4

2

= + − x a x

1 1=p+

x ; x₂=p−1

(

)(

)

( )( )

3 1 3

1 1

2 4

2

2 1

= =

= − + =

⋅

= =

= +

a a

a p p a

x x

p p

x x

4. Jawab:

8 3

4 3 2

6 2

= −

= +

= −

z x

z y

y x

18 2 5x+y+ z=

5. Jawab: D

Barisan dan Deret

Tiga bilangan barisan aritmetika dengan beda 6 Misal

(

x−6

) ( ) (

, x , x+6

)

(

x−6

) ( ) (

, x , x+6+12

)

barisan geometri

(

)(

)

( )

18 9

6 12

18 6 12

18 6

2 2 2

= =

− + =

+ − =

x x

x x x

Jumlah ketiga bilangan = 3x=27

6. Jawab: C

Persamaan Linier Modal A = x rupiah Modal B = 10.000.000 – x

Keuntungan A + Keuntungan B = 904.000

(

)

000 . 800 . 4 000

. 96 02 , 0

000 . 904 10 , 0 000 . 000 . 10 08 , 0

000 . 904 000

. 000 . 10 10 , 0 08 , 0

= =

= −

+

= − +

x x

7. Jawab: A

Statistika

3 19 21

25

8 = − =

=

f f_i

Persentase =

(

100%

)

12% 25

3

=

8. Jawab: B

Program Linier

(

x y

)

x y

f , =4 +3 18 3

2x+ y≤

;

x≥3

;

y≥2

(

)

(

)

(

)

(

)

(

3,4

)

(

3,4

)

24 30 2 , 6 2 , 6

12 2 , 3 2 , 3

= →

f C

f B

f A

(2)

322

Halaman 2 4

1

4 1

2 1

5 4

5 1

1

A B

+ +

−2 0

−

9. Jawab: A

Fungsi

( )

(

)

(

)

(

)

13 9 4 3 3

9 4 3 3

9 4 3

9 4

3

2 2

= + = + +

+ = + +

+ = +

+ =

a a

x a

x ax

a

x ax

f

x x f f

ax x f

10. Jawab: D

Logaritma

x = 3 log 2

; 3log7=y

( )( )

xy xy x

y 1 1

2 log 7 log 2 7 log 14

log 3 3 3

3

+ = + =

+ = =

11. Jawab: E Fungsi Kuadrat

Fungsi kuadrat melalui

(

−1,0

)

;

(

2,0

)

dan

(

0,2

)

y=a

(

x+1

)(

x−2

)

melalui

(

0,2

)

2=a

(

0+1

)(

0−2

)

1 2

2=− a a=−

( )

(

)(

)

( )

7

(

7 1

)(

7 2

)

40 2 1

− = − + − =

− + − = =

f

x x x f y

12. Jawab: B Bidang Datar

Luas tiap persegi panjang = 5 1

2 1 = AB

13. Jawab: C

Barisan dan Deret

( )

[

( )

]

39 56 95

4 6 4 5 5 6 5 5

6

2 2

4 5 5

2

= − =

− −

− =

S S U

n S S_n _n

14. Jawab: E

Matriks dan Determinan

= ⋅

2 0

0 2

B

A ; det

( )

A =2

( )

( ) ( )( ) ( )( )

( )

(

)

( )

2 1

1 2 det

1 det

det det det

2 det 4

det 2

0 0 2 2 det det

1 1

= =

= ⋅ =

⋅

= =

− =

⋅

− −

A B

A B A

B

B B

B A

15. Jawab: C Pertidaksamaan

(

)(

) (

)

(

)(

) (

)

(

) (

[

)

]

(

2

)( )

0

0 1 1 2

0 2 2

1

2 2

1

≥ +

≥ − + +

≥ + − + +

+ ≥ + +

x x

x

x x

x

2 − ≤