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MODUL SOLAF MATEMATIK TAMBAHAN 2014 1 JAWAPAN JAWAPAN MODUL 1 FUNGSI KERTAS 1 1. (a) {4, 8} (b) Banyak kepada satu 2. (a) 0 (b) {4, 2, 1} (c) {4, 3, 2, 1, 0, 1} 3. (a) b, d (b) a 4. (a) 1 (b) {3, 2, 1, 0} (c) Satu kepada satu 5. (a) {(1, 2), (1, 4), (2, 6), (3, 8), (4, 6)} (b) 2, 4 (c) Banyak kepada banyak 6. (a) 10 (b) 2 7. (a) 2 (b) 8. (a) 1, 4 (b) 9. m = 2, n = 1 10. (a) 8 (b) , 3 11. 1 12. (a) 5 (b) 2 13. , 14. (a) 1 (b) 15. (a) 5 (b) 16. (a) (b) 17. (a) (b) 18. m = 7, n = 3 19. (a) (b) J-

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JAWAPAN MODUL 1: FUNGSI

JAWAPAN

JAWAPAN MODUL 1

FUNGSI

KERTAS 1

1.(a){4, 8}

(b)Banyak kepada satu

2.(a)0

(b){4, 2, (1}

(c){4, 3, 2, 1, 0, (1}

3.(a)b, d

(b)a4.(a)(1

(b){(3, (2, (1, 0}

(c)Satu kepada satu

5.(a){(1, 2), (1, 4), (2, 6),

(3, 8), (4, 6)}

(b)2, 4

(c)Banyak kepada banyak

6.(a)10

(b)2

7.(a)2

(b)

8.(a)1, 4

(b)

9.m = (2, n = 1

10.(a)8

(b)

, (3

11.1

12.(a)5

(b)2

13.

,

14.(a)1

(b)

15.(a)(5

(b)

16.(a)

(b)

17.(a)

(b)

18.m = 7, n = 3

19.(a)

(b)

20.

21.(a)2

(b)

22.(a)

(b)

23.(a)

(b)3

24.(a)

(b)

25.a = (4, b = 3

26.(a)

(b)8

27.(a)

(b)

28. g(x) = x2 + x + 3

KERTAS 2

1.(a)a = (6, b = 10

(b)

(c)

2.(a)

(b)

3.(a)

(b)k = 2, m = 3

4.(a)k = 32

(b)89.6(F

(c) f(y) = (y(32)/1.8

or f-1(x) = (x(32)/1.8

or equivalent.

JAWAPAN MODUL 2

PERSAMAAN KUADRATIK

KERTAS 1

1.

2.

3.k = 5, h = (2

4.k = 1, p = (3

5.5.887, 0.1132

6.

7.

8.

9.

10.

11.(13

12.4, (4

13.12, (12

14.

15.(a)(2

(b)

(c)7

KERTAS 2

1.(a)p = (5

(b)

2.(a)h = (9, k = (30

(b)m =

3.(a)

(b)0.609, (4.11

(c)

4.(a)p = (4, m = 8

(b)

5. (b) 3 cm

JAWAPAN MODUL 3

FUNGSI KUADRATIK

KERTAS 1

1.(a)((3, 9)

(b)

2.(a)

,

(b)((4, 0)

3.(a)

(b)

4.(a)2

(b)4

(c)

5.(a)

(b)(3

(c)5

6.2

7.

,

8.

,

9.

,

10.

, ,

11.

,

12.

13.

,

14.

KERTAS 2

1.(a)

; 2

(b) SHAPE \* MERGEFORMAT

(c)p < 2

2.(b)k = 0, r = (1; k = 4, r = 3

3.(a)(, 25)

(c)

4.(a)

,

(b)

5.(a)

,

,

(b)

6. (a)

, p = 3, q = 3

(b) (i) m (ii) 6 m

JAWAPAN MODUL 4

PERSAMAAN SERENTAK

KERTAS 2

1.x=4,y=3; x=2.5,y=3.5

2.x=2,y=-4; x=3,y=-2

3.j=4.606,k=2.606;j=-2.606, y=-4.606

4.x=-3,y=2; x=-3,y=-2

5.x=-1, y=3; x=2,y=-3

6.x=2.419,y=-2791; x=5.581, y=-1.209

7.p=-2,q=9; p=9 ,q=-2

8.m=-5, n=2; m=11/3 , n= -8/9

9.

, ; ,

10.

, ; ,

11.

, 3 ; , 2

12.

, ;

,

13.

, ; ,

14.

,

15.

,

JAWAPAN MODUL 5

INDEKS DAN LOGARITMA

KERTAS 1

1.

2.

3.

4.

5. 6. 7. 8.

9.

10.

11.2s+1(3r12.

13.

14.

15.

16.y = 324

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.(a)

(b)

28.(a)

(b)

KERTAS 2

1.(a) 1.585

(b) 10.458

2.(a) 2

(b)

(c ) , 3.(a)

(b)4.(a)

(b) x = 16/55.(a)120 608.61

(b) 11 tahun

6.

7. x = 4 8.(a)

(b) or 9.(a)

(b) 1/25

10.(a)

(b) JAWAPAN MODUL 6

GEOMETRI KOORDINAT

KERTAS 1

1.T( 3, 2)

2.

3.

4.B( 3 , 5 )

5.

6.(a)

(b)

7.(a)( 1 , 9 )

(b)

8.(a)D( 0 , 2 )

(b)

9.

10.

,

11.(a)

(b)11 unit2

12.(a)C(3, 4)

(b)E(7, 2)

13.(a)

(b)

14.( 2 , 4 )

15.(a)

(b)( 0 , 6 ) , ( 0 , 2 )

KERTAS 2

1. (a)

(b)( 4 , 2 )

(c)14

2. (a)(i)

(ii)

(b)

(c)

3.(a)

unit2

(b)

(c)(i)

(c)(ii)Tidak

4.(a)

(b)

5. (a)

(b)(i)

(ii)

(c)

unit2

6. (a)

(b)

(c)

JAWAPAN MODUL 7

STATISTIK

KERTAS 1

1. (a)x = 88

(b)k = 2

2. 33

3. (a)3

(b) q = 12

4. (a)34.5

(b) 43.43

5. (a) 12

(b) 4

6. 11

7. 5.5353

8. (a)50

(b) 13.8

9. 3,3,4,5,10;3,3,4,6,9 atau 3,3,4,7,810. (a) 19

(b) 36

11. (a)

Skor / Score10 - 1920 - 2930 - 3940 - 4950 - 59

Bilangan pelajar /

Number of students6101284

(b)m = 3 atau 4

(c)2 dan 3

12. 1.22513. (a)173cm

(b)4.195

14. (a)13

(b) 0 x6, x integer15. k = 4 dan m = 12

16. N = 8, = 19.596

17. = 12, = 4

18. = 15.4 m=15.91

19. K = 17.68, L = 14.5, G = 11, F = 26

20. (a)50

(b)6

21. Median 31 dan varians = 144

22. (a)m = 5

(b)21

KERTAS 2

1. (a) = 16, 2 = 36

(b)i.40

ii.8.775

2. (a)25.5

(b)13.92

3. (a)4(b)53

(c) 57

4.(a)

(b)18.5

5.(a)

= 15, 2 = 22.2

(b)i.26

ii.5.494

6.(a)36.5

(b)22.12

7.(a)26

(b)11.43

8.(a)

Skor / Score0 - 910 - 1920 - 2930 - 3940 - 49

Bilangan pelajar /

Number of students5141876

(b) median = 22.83

Julat antara kurtil=15.36

9.(a)222.62

(b) (c)24.8%

10.(a)i.30

ii.163.5

(b)i.13

ii.9

11.(a)87

(b)i.72.28

ii.16.34

12.(a)i.60

ii.70-79

(b) 70.5

(c) (i) 13.56 , 4 Melur.

JAWAPAN MODUL 8

SUKATAN MEMBULAT

KERTAS 1

1.

2. r = 7.583

3. (a)

(b) r = 10.74

4. (a)

(b) 104.8

5. (a) 23.64

(b) 125.25

6. (a)1.047

(b) 44.21

7. 10 cm

8. (a)

(b) 28.37

9.

10. 12.8711.

12. (a)

(b) 10.805 cm2

13. (a)2.3916

(b)76.53 cm214. 57

15. 23.85 cm

16. 4.947 cm

17. 1568

18. (a)1.287

(b)13.12 cm2

19. 3( atau 9.426

20. (a)( =

(b)22 cm21. 8 : 122. (a) = 0.9675

(b)17.4

23. 2.48724. 14. 401

25. 30(

26. 52.37

27. (a) 0.9507

(b) 15.356 cm

KERTAS 2

1. (a)

(b)50.32 2. (a)

rad(b)41.89

(c)245.72

3. (a)6

(b)25.56

(c)41.38

4. (a)93.8

(b) 45.016

(c)39.63 5. (a) 62.84

(b) 354.513

6. (a)1.37 rad

(b) 28.35

(c)162.46

7. (a) 0.6948 (b) i.8.338

ii.24.74 cm

(c)13.84 cm28. (a)( = 2.352

(b) 30.576

(c)138.744

9. (a)

rad(b)54.427(c)78.8996

10. (a)2.352 rad(b)18.46(c)122.4

11. (a)5.001

(b)7.072(c)12.50

12(a)i.152(

ii. 2.653

(b)i.31.01

ii.49.74

JAWAPAN MODUL 9

PEMBEZAAN

KERTAS 1

1. (4

2. 13

3. a = 2, b = (5

4. 9x2 (4, fungsi kecerunan bagi lengkung y = 3x3 ( 4x, atau terbitan pertama bagi fungsi y = 3x3 ( 4x,

5. (3

6. (

7. 12(3x (5)

8. (12

9. (2.5, (3.75)10. p = 211. P(7, 4)

12. x + 2y = 5

13. 10 unit /s

14. 120 cm2/s

15. (a) 3px2 (8x + 5

(b) p = 2

16. k = (2

17. (a) (2

(b) (2k 18. cm s-1 KERTAS 2

1. (a) k=4, m=(1 (b)

2. (a) a = 2, (b) y = 3x(1 (c) x = 2/3, (2

3. (a) 3

(b) x+3y+1=0

(c) Q(1, (3) titik minimum

4. (a) minimum (b) a = (4, b = 6

5. (b) (i) 25 (ii) 2

6. 9.71 m37. (a) (i)

(ii) k

(b) (i) 4

(ii) 2 cm s-1

8. (a) 4000/x2 (b)

(c) 20 cm x 20 cm x 10 cm

JAWAPAN MODUL 10

PENYELESAIAN SEGITIGA

KERTAS 2

1.(a)(i)73.29 m

(ii)18.55(

(iii)1543.94 m2

(b)42.78 m

2.(a)(i)55.85(

(ii)113.37(

(iii)56.573 cm2

(b)(i) SHAPE \* MERGEFORMAT

(ii)124.15(3.(a)(i)59.14(

(ii)134.46(

(ii)57.02 cm2

(b)

4.(a)11.94 cm

(b)46.72(, 133.28(

(c)(i)15.96 cm

(ii)102.02 cm2

5.(a)72( 15(

(b)7.706 cm

(c)89( 1(

(d)58.52 cm2

6.(a)(i)10.44

(ii)24( 30(

(b)(i)

SHAPE \* MERGEFORMAT

(ii)3.3385 cm27.(a)(i)5 cm

(ii)20.22 cm

(c)(i)

SHAPE \* MERGEFORMAT

(ii)126.87(8.(a)54.34(

(b)20.79 cm

(c)43.49(

(d)206 cm29.(a)16.53 cm

(b)42.63( , 137.37(

(c)(i)3.24 cm , 23.84 cm

(ii)216.32 cm2 , 118.66 cm210.(a)(i)59.81(

(ii)11.91cm

(b)(i)

(ii)11.37 cm2

11.(a)(i)64.37(

(ii)113.34(

(iii)76.35 cm2

(b)(i)

(ii)6.098 cm

12.(a)(i)68.11(

(ii)10.42 cm

(b)279.33 cm2

(c)9.031 cm

13.(a)56.96(

(b)8.15 cm

(c)72.29(

(d)20.75 cm214.(a)5.775 cm

(b)117.07(

(c)22.51 cm215.(a)(i)13.996 cm

(ii)5.993 cm

(b)70.55(

(c)27.689 cm216.(a)123.56(

(b)5.275 cm

(c)71.42(

(d)42.5 cm217.(a)4.933 cm

(b)3.855 cm

(c)8.091 cm218.(a)83.13(

(b)0.7563

(c)91.32 cm2JAWAPAN MODUL 11

NOMBOR INDEKS

KERTAS 2

1.(a)x = 150 ; y = RM1.20

(b)121.5

(c)(i)145.8

(ii)RM36.45

2.(a)(i)RM18

(ii)174

(b)(i)140

(ii)RM57.60

3.(a)p = 125

q = 4.80

r = 2.00

(b)(i)121.9

(ii)RM32.81

(c)170.7

4.(a)5.00

(b)y = 5.00

z = 7.00

(c)(i)RM5.00

(ii)4

5.(a)m = 4.00

n = 90

(b)126

(c)RM94.50

6.(a)x = 120

y = 1.20

(b)121.5

(c)(i)145.8

(ii)RM36.45

7.(a)x = 120

y = 5.00

z = 5.60

(b)(i)136

(ii)RM54.40

(c)170

8.(a)RM2.00

(b)RM4.80

(c)4

(d)121.08

9.(a)(i)RM115

(ii)126.5

(b)(i)p = 15

y = 120

(ii)RM150

10.(a)RM181.20

(b)(i)3

(ii)127.8

(iii)RM95.85

11.(a)RM44

(b)RM3.20

(c)1

(d)125

12.(a)RM7.15

(b)20

(c)(i)35

(ii)20

JAWAPAN MODUL 12

JANJANG

KERTAS 1

1. ( a ) 15, 30, 45

( b ) d = 15

2. 8

3. p =27, q= , r =

4. 342

5. 2880

6.

7. Janjang Geometri, 374488. ( a ) d = 5 ( b ) 846

9.( a ) 15

( b ) 9

10. 870

11. 270. 47

12. 29

13.13, 16, 19

14. ( a ) 5

( b )27

15.

16. 236.8

17. .

18. 22

19. x = 74,

20. ( a )23 ( b ) -1055

21. ( a )n = m 1

( b ) (i) 4, -4

( ii )

22. a = 52, d = 8

23.

24.

25.

26. (a) 3, 12, 48

( b) r = 4

KERTAS 2

1. ( a )1.06

( b ) RM 2127.78

( c ) n=12

2. ( a ) a = 384

( b ) n = 2

( c ) S= 512

3. ( a ) d = 8

( b ) ( i ) 1472

( ii ) n = 24

4.( a) 33122.42

( b) 35852.78

( c ) n=37

5.( a ) Tn = (x) (1.10)n-1 ( b ) shown

( c ) 16

6.(a) (i) 30

(ii) RM65600

(b) 468.744

7. ( a ) p = 50, q = 26

( b ) w = 6

8. ( a ) aR = 20 , aT=

( b) 9

9. ( a ) 102720

( b ) 107400

( c ) scheme (b), 4680

10. ( a ) RM886.17

( b ) RM585.37

11. ( a ) = 25, = 55

( b ) 10

JAWAPAN MODUL 13

HUKUM LINEAR

KERTAS 1

1. y = - m () + n 2. log10 y = (k log10 a ) (x) + log10 F Y= log10 y, X = x, m = k log10 a , c = log10 F3. p= hq + k

Y = p , X= q, m=h, c = k

h = gradient, k = p intercept

4. c = , d =

5. (a) log10 y = 4 log10 x + log10 k(b)(i) log10 k = 4

(ii) h = 16

6. (a) log10 y = 3 log10 x + log10 k(b) (i) 2

(ii) 14

7. (a)

(b) -2

8. (a)

(b) 20000

9. ( a ) a =0.01, b =

( b) 0.0224

10. a = , b =

11. (a) p = 1 , q = -2

(b)

12. y 2 =x +

x =

13. X = , Y =

14. y = x315. a =

b =

16. p =729. q =6417. ( a ) -12

( b ) gradient = , Y- intercept =

18. p = 12, q =

19. ( a ) (0, 2 ) ( b) 3/4 ( c ) 800

KERTAS 2

(Untuk bahagian graf, sila rujuk muka surat J19-J30)

1 ( a )

x24689

x2y24.9645.1264.4485.1294.77

b = 10 0.4

a = 5 2

2 x123456

y4.687.1211.0416.5325.5640.01

log10 y0.6700.8521.0431.2181.4081.602

p = 3.02

k = 1.543. ( a )x

2

3

4

5

6

7

4

4.4

5

5.5

6.1

6.5

(b) (i) n = 0.77

(ii) r = 0.275

(iii) From graph ,

y = 5.4

P50100150200250

V21.211.391.591.801.99

4. (a)

(b) (i) h = 0.004, k = 1.03

(ii) V= 1.32, V2 = 1.74 ( P = 1855. x21.002.254.006.259.00

log10y0.260.350.490.670.89

b = 1.2 , a= 1.486.

x12345

1.704.678.1411.614.53

(c ) ( i ) a = 3.2 , b = - 1.5

( ii ) x = 2.4, = 6.2 ( y = 4.0

7.

x234567

44.455.56.16.5

(b) ( i )

( ii )

( iii ) when x = 1.2, y = 4.32

8.

x42.5038.5032.0125.5013.007.98

log10y0.150.200.300.400.580.65

( i ) p = 0.9667

( ii ) q = 0.17

( iii ) 3.23

9. (a) log10y0.300.480.600.700.78

log10y0.750.820.870.910.95

(b) ( i ) logy= 0.41logx + 0.62

( ii ) y = 4.169x 0.41 (c) x = 6.543

10.

t204060100120160

0.340.410.660.680.750.93

(b)(i) Nilai s yang tidak tepat = 39.5,

Nilai s yang sepatut = 30 ( ii) = u + at

u = 0.27

a = 0.0041

11.

t1234567

3.54.35.367.2

8.79

( b ) ( i ) 2.57

( ii ) 1.763

( iii ) 47.4

0.0830.0670.0500.0360.025

0.100.0870.0710.0590.045

( a ) = + k

By plotting against ,

a straight line graph of gradient = 1 and intercept at the point ( 0, k) is obtained.

( b) k = 0.026

JAWAPAN MODUL 14

PENGAMIRAN

KERTAS 1

1.

2. (5

3. (a) (3 (b) 16

4. p = 9/q

5. (13

6. k = 2, n = (2

7.

8. (a) 2

(b) y=x2 (x3 +2

9. unit2

10. (a) 24 (b) 18

11. unit2

12. 4/9

13. 5

14. 3

15. (/4

KERTAS 2

1. (a) 3

(b)

2. (a) 2

(b) 11

3. (a) -12

(b) y=x3 (12x

(c) -3.464, 0, 3.464; 36 unit24. (a) unit2 (b) unit3

5. (a) y=(2x+6

(b)

(c) unit3

6. (a) y=(x2+9(b) 32 unit2

(c) unit3

7. (a) (2, 4)(c) unit2.

8. (a) (3, 2) (b) 5/3 (c)

9. (b) unit (c) 4( unit3

10. (a) y = x2 6x + 10 (b) 4.5 unit2

(c) 111( unit3JAWAPAN MODUL 15

VEKTOR

KERTAS 1

1.(a)h = 2

(b)k = 1

2.k = EQ \F(33,5) 3.(a)ABADVANCE \u 6 \l 11 ADVANCE \d 6 = 18aADVANCE \d 6 \l 6 ~ADVANCE \u 6 58bADVANCE \d 6 \l 6 ~ADVANCE \u 6

ACADVANCE \u 6 \l 11 ADVANCE \d 6

ADVANCE \u 6 \l 11 ADVANCE \d 6 = 9aADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 29bADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)ACADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \F(1,2) ABADVANCE \u 6 \l 11 ADVANCE \d 6

A, B, C adalah segaris

4.PRADVANCE \u 6 \l 11 ADVANCE \d 6 = 11iADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 3jADVANCE \d 6 \l 6 ~ADVANCE \u 6 5.(a)k = 24

(b)PQ : QR = 4 : 116.OHADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \F(16,3) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(10,3) yADVANCE \d 6 \l 6 ~ADVANCE \u 6 7.(a)BCADVANCE \u 6 \l 11 ADVANCE \d 6 = 13iADVANCE \d 6 \l 6 ~ADVANCE \u 6 12jADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)ADADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \F(26,7) iADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(60,7) jADVANCE \d 6 \l 6 ~ADVANCE \u 6 8.(a)CBADVANCE \u 6 \l 11 ADVANCE \d 6 = 6iADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 2jADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)DAADVANCE \u 6 \l 11 ADVANCE \d 6 = 2iADVANCE \d 6 \l 6 ~ADVANCE \u 6 EQ \F(4,3) jADVANCE \d 6 \l 6 ~ADVANCE \u 6 9.(a)2aADVANCE \d 6 \l 6 ~ADVANCE \u 6 bADVANCE \d 6 \l 6 ~ADVANCE \u 6 = 11i + (26 k)j

(b)k = 26

10.16 atau -8

11.(a)OMADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \B(\A(5,3))

(b)MNADVANCE \u 6 \l 11 ADVANCE \d 6 = 5i 5j12.(a)OMADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \B(\A(10,8))

(b) 13.(a)5aADVANCE \d 6 \l 6 ~ADVANCE \u 6 bADVANCE \d 6 \l 6 ~ADVANCE \u 6 = EQ \B(\A(8,15))

(b)EQ \F(8,17) iADVANCE \d 6 \l 6 ~ADVANCE \u 6 +EQ \F(15,17) jADVANCE \d 6 \l 6 ~ADVANCE \u 6 14.(a)

(b)

15.

16.E 17.(a)-6i + 3j

(b) -12

18.

19.k = 2 dan m =1

20.(a) -7

(b)-5

21.m = 8, n = -10

22.a = 3, b = -6

23.m = , n = 24.(a) (b) KERTAS 2

1. (a) (i) 18xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 30y

(ii) 24xADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b) DBADVANCE \u 6 \l 11 ADVANCE \d 6 = EQ \F(3,2) DF

B, F and D adalah segari.

(c) 174.9 unit2. (a) (i)EQ \F(5,4) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 2yADVANCE \d 6 \l 6 ~ADVANCE \u 6 (ii)EQ \F(10,3) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(2,3) yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)h = EQ \F(1,3) , k = EQ \F(8,9)

(c)21.54 unit3. (a) 8xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 2yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)(i)6xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + kyADVANCE \d 6 \l 6 ~ADVANCE \u 6 (ii)k = EQ \F(3,2) 4. (a) (i)xADVANCE \d 6 \l 6 ~ADVANCE \u 6 7yADVANCE \d 6 \l 6 ~ADVANCE \u 6 (ii)EQ \F(6,7) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b) h = EQ \F(1,6) , k = EQ \F(36,7)

5. (a) (i)3xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + 2yADVANCE \d 6 \l 6 ~ADVANCE \u 6 (ii)xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(4,3) yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)k = EQ \F(5,17) , h = EQ \F(15,17) 6.

(a) (i)EQ \F(2,3) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(ii)EQ \F(1,3) xADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(2,3) yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(b)(i)EQ \F(1,3) hxADVANCE \d 6 \l 6 ~ADVANCE \u 6 + EQ \F(2,3) hyADVANCE \d 6 \l 6 ~ADVANCE \u 6 (ii)EQ \F(2,3) kxADVANCE \d 6 \l 6 ~ADVANCE \u 6 + (1 k)yADVANCE \d 6 \l 6 ~ADVANCE \u 6

(c)k = EQ \F(3,7) , h = EQ \F(6,7) 7. (a)

(b)

(c)(i)m = ,

(ii)

8. (a) (i)

(ii)

(b)(i)

9. (a) (i)

(ii)

(b) , 10. (a) (i)

(ii)

(b)(i)

(ii)

(c)m = 2, n = 311. (a) (i)

(ii)

(b)(i)

(ii)

JAWAPAN MODUL 16

FUNGSI TRIGONOMETRI

KERTAS 1

1. 157.5 sukuan ke32. (a)0.7986

(b) 1.2523. (a)130 11'

(b) 1.3094. (a)125 54', 234 6'

(b) 1.7055. (a)104 26'

(b) 0.25746. (a) a/r (b) a/b7. -8. x = 150, 2109. x = 225, 31510. x = 75, 165, 255, 34511. x = 30, 15012. x = 150, 330x = 41 49', 48 35', 131 25', 138 11'

13. x = 141 20', 153 26', 321 20', 333 26' 14. kos x = 0

x = 30, 90, 150,270= 15. sin x = 0x = 0, 180, 360 109 28', 250 32'16. 3.53717. 2.37218. 0.89419. (a) EQ \F(5,13)

(b)EQ \F(16,65) 20. (a)EQ \F(1,4p) (b) 8p EQ \R(,1 16p2)KERTAS 2

1. (a)(i)

(ii)(b)

2.(a)

(b)(i)

(ii) 3.(b)

4.(b) (i) (ii) (iii) 5.(b)(i)2mn

(iii) m

(ii)

(iv)

6.(b)(i)

(ii) (iii) 7., Nilai maksimum = 2.236

x = 36((508.(b) (i)

(ii)y = EQ \F(x,2) EQ \F(1,2) , Bil. penyelesaian = 3

9.(a)

(b)5 kos 3x = EQ \F(10x,) + 7,

Bil. penyelesaian=210.(a)

(b)y = EQ \F(,x) , Bil. penyelesaian = 2

(ii)y = EQ \F(1,4) EQ \F(x,4) Bilangan penyelesaian = 511.(b)(i)

(ii)tan 2x = EQ \F(3x,) + 4,

Bil.penyelesaian= 212.(a)

(b)y = 2 + EQ \F(x,2) , Bil. penyelesaian = 8

13.(a)

(b), Bil. penyelesaian = 214.

Bilangan penyelesaian = 415.

Bilangan penyelesaian = 316.

k =

17.

18.

Bilangan penyelesaian = 3

19. 135(35, 224(25JAWAPAN MODUL 17: PILIHATUR DAN GABUNGANKERTAS 1

1. 840

2. 48

3. 24

4. 6720

5. (a) 1287(b) 420

6. 180

7. (a) 126

(b) 120

8. 19800

9. 15120

10. 288

11. (a) 560

(b) 321

12. 26244

13. (a) 120

(b) 48

14. (a) 210

(b) 60

15. (a) 2520(b) 1440

16. (a) 560

(b) 17280

17. 672

18. 840

19. (a) 300

(b) 60

20. 264

21. 2520

22. (a) 120

(b) 116

23. 19

24. 1051050

25. 720

26. (a) 1716(b) 1015

27. (a) 105

(b) 462

28. 40

29. (a) 60

(b) 10

30. (a) 125

(b) 256

31. (a) 792

(b) 36

32. (a) 303600(b) 12650

33. (a) 90

(b) 15

34. (a) 252

(b) 66

35. (a) 30

(b) 480

JAWAPAN MODUL 18 KEBARANGKALIAN

KERTAS 1

1.

2.

3.

4. (a)

(b)

5.

6.

7. 0.348. f = 129.

10. (a) 0.09(b) 0.9411. (a) 0.216(b) 0.28812.

JAWAPAN MODUL 19 : TABURAN KEBARANGKALIAN

KERTAS 1

1. 0.2934

2. 0.01000

3. 0.7804

4. 0.9363

5. 0.1875

6. 0.7619

7. 0.1359

8. (a) 540.2(b) 0.7611

9. (a) 1.5

(b) 0.4332

10. (a) 0.94(b) 185.17

11. (a) 60

(b) 75.80 %

12. (a) 1.5

(b) -1.1

13. (a) 0.1314

(b) 0.7381

14. (a) 1.25

(b) 0.3944

15. (a) 60

(b) 0.6915

16. (a) 0.2747

(b) 14.79

17. 51

18. (a) 1.727

(b) 0.2417

KERTAS 2

1. (a) (i) 0.9983

(ii) 6, 1.549

(b) (i) 54

(ii) 0.0679

2. (a) (i) 0.32

(ii) 0.3313

(b) (i) 0.1476

(ii) 2.950

3. (a) (i) 1.020

(ii) 0.8948

(b) 400

4. (a) (i) 0.75

(ii) 0.9998

(b) (i) 0.3085

(ii) 77.18

5. (a) (i) 0.298

(ii) 0.737

(b) (i) 0.933

(ii) 4.29

6. (a) 0.05480

(b) 250

(c) 4.7015

7. (a) (i) 0.04129 (ii) 0.9502

(b) (i) 0.8490

(ii) 139

8. (a) (i) 0.8944

(b) (i) 465

(ii) 221.85

JAWAPAN MODUL 20

GERAKAN PADA GARIS LURUS

KERTAS 2

1. (a) 4 ms-1

(b) -8 ms-2

(c) 48 m

(d) m

2. (a) 367.5 m

(b) 98 ms-1

(c) 490 m

(d) 20 s

(e) pecutan malar 9.8 ms-2.

3. (a) 0.2 (b) 5 (c) 40 m

4. (a) -6 ms-2 (b) 9 ms-1 (c) m

5. (a) (i) 36 ms-1 (ii) 10(b)

6. (a) k=5 (b) -7 ms-2

(c) 12.25 ms-1(d) 54 m

7. (a) 25 ms-1 , 4 ms-1

(b) 3 s

(c) 3.125 m s-2

8. (a) 18 m s-1

(b) (c) m

9. (a) 5(b) 5

(c) 3.5 s (d) 13 m

10. (a) (i) 1.25, (ii) Tidak

(b) -0.08

(c) 2

f(x)

x

(1, 2)

(1

44.6

9.9

cm

8.4

cm

C

A

D

D'

42.5

C(

A(

B(

10.8 cm

8.5 cm

A(

B

A

C

B(

K(

C(

12 cm

16 cm

C

A

B

C

B

A

110

100

90

80

70

60

50

40

30

20

10

0

x2y

1 2 3 4 5 6 7 8 9

x

NO 1

log10y

NO 2

2.0

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0

x

1 2 3 4 5 6 7 8 x

NO 3

y/x

10

9

8

7

6

5

4

3

2

1

0

x

1 2 3 4 5 6 7 8 9 x

NO 4

V2

x

50 100 150 200 250 300 350 400

2.0

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0

x2

No 5

log10y

1.2

1.0

0.8

0.6

0.4

0.2

0

-0.2

-0.4

-0.6

-0.8

0 1 2 3 4 5 6 7 8 9

y/x

x

1 2 3 4 5 6 7 8 9

20

18

16

14

12

10

8

6

4

2

0

No 6

1 2 3 4 5 6 7 8

x

No 7

y/x

10

9

8

7

6

5

4

3

2

1

0

x

No 8

5 10 15 20 25 30 35 40 45

1.1

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

log10y

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0

No 9

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8

t

20 40 60 80 100 120 140 160

s/t

NO. 10

2.0

1.8

1.6

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0

ty

1 2 3. 4 5 6 7

10

9

8

7

6

5

4

3

2

1

0

NO. 11

s/t

1/u

0.01 0.02 0.03 0.04 . 0.05 0.06 0.07 0.08

0.10

0.09

0.08

0.07

0.06

0.05

0.04

0.03

0.02

0.01

0

NO. 12

1/v

V

36

20

0

4

10

t

J-

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