Pembahasan Mtk UN 2013 Paket 01

8/11/2019 Pembahasan Mtk UN 2013 Paket 01

1/10

SMPN 3 KALIBAGOR

Alfa Kristanti1

PAKET 1


2/10

SMPN 3 KALIBAGOR

Alfa Kristanti2


3/10

SMPN 3 KALIBAGOR

Alfa Kristanti3

23 + 43 =1

23+

1

43=

1

8+

1

64=

8

64+

1

64=

9

64

Pelangi Matematika Viandre

Al4-kristanty.blogspot.com

28 3 = 28 3 = 224 = 24 6 = 226 = 46

41

4+ 6

2

3 2 1

2= 4

1

4+

20

3 5

2= 4

1

4+

20

3

2

5

= 4

1

4 +

8

3 =

17

4 +

8

3 =

51

12 +

32

12

=83

12= 6

11

12

Selisih =5 35 + 3

64.000 =2

8 64.000= 16.000

Bunga 9 bln =9

12 12% = 9%

Tabungan setelah 9 bln = 100% T + 9% T = 109% T

109% T = 3.815.000T =3.815.000

109%=

3.815.000

109

100

= 3.815.000 100

109

= 3.500.000


4/10

SMPN 3 KALIBAGOR

Alfa Kristanti4

b = 5252 =

31193

= 123

= 4

U2= a + b19 = a + 4a = 194a = 15

Sn=

2( 2a + (n1)b )

S24=24

2( 2(15) + (241) 4 ) = 12 (30 + (23)4 ) = 12 (30 + 92)

= 12 (122) = 1.4.64

a = U1= 7

b = U2U1= 157 = 8

Un = a + (n1)b

U50= 7 + (501)8 = 7 + (49) 8 = 7 + 392 = 399

r = 21=

3

9=

1

3

a = U1= 9

Un= a rn1

= 9 13

1

= 32 311

Un= 32 3+ 1= 32 + 1= 33

5x5 1 + 2x

5x2x 1 + 53x 6

x 2

I. 4x 9 = (2x) 3 = (2x+ 3)(2x3)II. 2x

2+x3 = (2x+ 3)(x1)

III. x2+x6 = (x+ 3)(x2)

IV. x2+ 4x5 = (x+ 5)(x1)

m =

212 1

=2 1

23=

35

yy1= m (xx1)

y1 =35

(x(3))

y1 =35

(x+ 3)

5(y1) =3(x+ 3)

5y5 =3x9

5y + 3x =9 + 5

3x + 5y =4


5/10

SMPN 3 KALIBAGOR

Alfa Kristanti5

ax+ by + c = 0a = 2 ; b = 4

m = =

24 =

1

2

Jumlah bilangan terbesar dan terkecil

=2

3jml ketiga bilangan

=2

396 = 64

M = { 3, 5, 7 }N = { 4, 6, 8 }

M N = { 3, 4, 5, 6, 7, 8 }

g(2) = 7

2q + r = 7

g(5) = 7

5q + r = 7

2q + r = 7

5q + r = 7

7q = 14q = 2

2q + r = 7

2(2) + r = 7

4 + r =

7r = 7 + 4

r = 3

g(4) = 2(4) + (3)

= 8 3

= 11

Misal :Harga gunting = p

Harga spidol = q

2p + 3q = 18.000 5 10p + 15q = 90.000

3p + 5q = 29.000 3 9p + 15q = 87.000

p = 3.000

10 10

1010

6 6A

B

C

D

E

S = 4

=40

4= 10

DE = 2 2 = 102 62 = 100 36 = 64 = 8BD = 2 DE = 2 8 = 16

Lbelahketupat ABCD=1

2 d1 d2=

1

2 AC BD = =

1

2 12 16 = 96

2p + 3q = 18.0002(3000) + 3q = 18.000

6.000 + 3q = 18.0003q = 12.000q = 4.000

4p + 2q = 4(3000)+2(4000)= 12.000 + 8.000= 20.000


6/10

SMPN 3 KALIBAGOR

Alfa Kristanti6

Pada gambar di samping:ABC PQR makaAB = PQ, BC = PR,

AC = QRQ

P

R65

o

80o

A

B

C65o

80o

Q

28

16

8

P RM

L

K

12 6

21

=

12

16=

3

4 ,

=

21

28=

3

4 ,

=

6

8=

3

4

KL =4 27 + 2 12

4 + 2

=108 + 24

6=

132

6= 22

L daerah tdk diarsir = LKLMN+ LPQRS2 Ldaerah diarsir

= 16 12 + 822 40= 192 + 6480

= 176

Banyak lampu = =

4 30

6= 20

DE

F


7/10

SMPN 3 KALIBAGOR

Alfa Kristanti7

(6x+ 4) + (5x+ 9) = 90

11x+ 13 = 9011x= 901311x= 77

x= 7 PenyikuAOC = COB = 5x + 9 = 5(7) + 9 = 35 + 9 = 44

Sudut keliling menghdpbusur yg sama maka

ABE = ACE =ADE

ABE =96

3= 32

AOE = 2 ABE= 2 32

= 64

= 676 100 = 576 = 24luar = 262 13 32 = 676 102

LORS=

=75

105 21

= 15

Panjang rusuk balok = 4 (p + l + t) = 4 (30 + 12 + 18)= 4 (60) = 240 cm

Kawat untuk kerangka 2 balok = 2 240 = 480 cm

Sisa kawat = 5 m480 cm = 500 cm480 cm = 20 cm


8/10

SMPN 3 KALIBAGOR

Alfa Kristanti8

BC = 4

=72

4= 18

t

9

15t = 152 92 = 225 81t = 144 = 12

Vlimas=1

3La t =

1

3 18

2 12 = 324 4 = 1.296

dbola= rusuk kubusdbola= 12, maka :

r =12

2= 6

Vbola=4

3 r

3=

4

3 6

3=

4

3 216

= 4 72 = 288

Ldinding= 2 (pt + lt) = 2(6 5 + 10 5)= 2(30 + 50) = 2(80) = 160

Biaya = 160 Rp 40.000,- = Rp 6.400.000,-

s2+ s

2= 4

2

2 s2= 16

s2= 8

s = 8 = 4 2 = 22

4 s

s

Lkubus= 6 s2

= 6 222= 6 8

= 48

d = 14r = 7

Ltabung= 2r (r + t) = 2 22

7 7 (7 + 34)

= 44 (41) = 1.804

Siswa dgn nilai 72 = 4028 = 12 anakJml nilai siswa = 28 80 + 12 72 = 2.240 + 864 = 3.104

Rata-rata nilai = =

3.104

40= 77,6


9/10

SMPN 3 KALIBAGOR

Alfa Kristanti9

Data 5 6 7 8 9frekuensi 2 3 2 4 1

Modus

32 30

Jumlah hasil panen 2010 dan 2011 = 3 + 4 = 7


10/10

SMPN 3 KALIBAGOR

Alfa Kristanti10

n(S) = 2 2 2 = 82 angka 1 gambar = AAG, AGA, GAA

P (2 angka 1 gambar) =3

8

6

5 5

22

4

3 3

Banyak kelereng = 6 + 5 + 3 + 3 + 2 + 4 + 2 + 5 = 30Kelereng merah = 6

P ( 1 merah) =6

30 100 % = 20 %

Pembahasan Mtk UN 2013 Paket 01

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