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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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