modul pdp matematik tahun 5 sjkc.pdf
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-
TAHUN 5
(Sekolah Jenis Kebangsaan Cina)
-
(KSSR)
(SEKOLAH JENIS KEBANGSAAN CINA)
-
i
Cetakan Pertama 2013
Kementerian Pelajaran Malaysia
Hak Cipta Terpelihara. Tidak dibenarkan mengeluar ulang mana-mana
bahagian artikel, ilustrasi dan isi kandungan buku ini dalam apa juga bentuk
dan dengan cara apa jua sama ada secara elektronik, fotokopi, mekanik,
rakaman atau cara lain sebelum mendapat kebenaran bertulis daripada
Pengarah, Bahagian Pembangunan Kurikulum, Kementerian Pelajaran
Malaysia, Aras 4-8, Blok E9, Parcel E, Kompleks Pentadbiran Kerajaan
Persekutuan, 62604 Putrajaya.
-
ii
i
1.3 (i) 1 - 5
1.3 (ii) 6 -10
2.1 (i) ,
1 000 000
11 -19
2.1(ii)
20 - 26
2.2 (i)
27 - 39
3.1(i) 1 000 000
30 - 46
3.1(ii)
47 - 53
3.3 (i) 54 - 62
4.3(i)
63 - 68
4.3 (ii) 69 - 73
4.3(iii)
74 - 82
5.2 (i)
83 - 89
5.3 (i) 90 - 93
-
iii
5.3 (ii) ,(iii)
94 - 103
6.3(i)
1 000 000 104 -108
7.2 (ii) 10
109 - 113
10.7(i) ,
114 - 129
10.8(i)
130 - 135
10.8(ii) 136 - 145
10.9(i) 146 - 152
16.1(i) x-y-0 153 - 159
16.1(ii) x- y-
160 - 168
18.1(i) 169 - 174
18.2(i) 175 - 182
-
iv
(KSSR)
ICT
KSSR KSSR KSSR
-
v
-
(KSSR)
-
1
1 000 000
1.3
i)
60
1.
a.
b. 2
c.
1. 2.
2.
3.
2.
a.
490 000
520 000
480 000
510 215
490 215
500 000
-
2
500 215
510 000
480 215
b.
i.
1.
2.
3.
480 000, 490 000, 500 000, 510 000,
520 000.
480 215, 490 215, 500 215, 510 215
4.
ii.
1
3.
A
620 220
B
620 225
D
630 220
C
630 225
-
3
1.
2.
3.
i)
ii)
iii)
4.
1
1
F
640 220
G
650 220
E
640 225
H
650 225
-
4
1
480000
490000
500000
510000
520000
480215
490215
500215
510215
-
5
1
_________________________
_________________________
A.
1) 1)
2) 2)
3) 3)
4) 4)
5) 5)
6) 6)
B.
632 276
642 280
652 284
662 288
672 292
682 296
357 489
458 265
559 041
659 817
760 593
861 369
-
6
1 000 000
1.3.
ii)
60
1.
a.
b. A
i.
ii.
21 (+2) , 23 (+3) , 26 (+4) , (+5) , 35.
c.
34 (+4) , 38 (+4) , B (+4) , 46 (+4) , 50.
A
B
-
7
2.
a.
, ,
, ,
, ,
, ,
b.
i.
ii.
iii.
40 391 + 2 = 40 393
40 393 + 3 = 40 396
40 396 + 4 = 40 400
40 400 + 5 = 40 405
40 405 + 6 = 40 411
40 411 + 7 = 40 418
40 418 + 8 = 40 426
40 426 + 9 = 40 435
iv.
c. b
i. 210 000, 220 000, , .., 250 000.
ii. ., 321 015, 322 015, ., 325 015
40 391 40 393
40 396 ?
40 405 ?
? 40 426
?
-
8
3.
a.
:
i.
ii.
iii.
b.
48 220
510 220
520 220
480 220
?
?
510 220
520 220
10 000
10 000
a)
480220
+ 10 000
490220
+ 10 000
500220
-
9
b)
510220
- 10 000
500220
- 10 000
490220
490 220
500 220
4.
2
2
-
10
2
_________________________
_________________________
A.
1) __________, 567 512, 578 664, __________, ____________.
2) __________, 472 193, __________, 520 633, 544 853.
3) __________, ___________, 264 777, 285 817, __________
4) 990 245, 910 245, 850 245, __________, __________, 790 245
5) __________, 345 694, 345 494, __________, __________
B.
X = __________ y = __________
-
11
1 000 000
2.1
i.
, 1 000 000
90
1.
a.
b.
1. 23 103 + 26 611 =
2. 3 030 + ______ + 13 040 = 26 070
3. _______ + 33 014 = 86 079
1. 30 000 + 13 125 =
4. 20 000 + _______ = 90 000
5. ________ + 23 = 40 098
c.
i.
ii.
1 2 3
4
5
-
12
2.
a.
400 375 + 346 223 =
1
400 375 400 000
346 223 300 000
400 000 + 300 000 = 700 000
2
400 000 + 0 + 0 + 300 + 70 + 5
300 000 + 40 000 + 6 000 + 200 + 20 + 3
700 000 + 40 000 + 6 000 + 500 + 90 + 8
700 000
40 000
6 000
500
90
+ 8
746 598
b.
54 119 + 13 254 =
c.
3 1 1
54 119 +1 54 120
+ 13 254 - 1 13 253
67 373 67 373
d. :
i. 399 999 + 299 999 + 199 999 =
ii. 199 992 + 499 993 + 19 995 + 9 996 =
iii. 599 998 + 49 997 + 29 999 + 5 996 =
i.
ii.
iii.
iv.
-
13
4
ii . 1 2 3 4 5 6 7 8 9 0 1 2 3 2 5 + 8 3 5 6 4 7 0 6 2 1 1 8 0 9 1 7 2 0 9 7 9 3 1 8
e.
3.
a.
b.
125 367 + 78 423 =
37 825 + 437 516 =
754 283 + 154 887 =
671 652 + 23 231 =
i.
:
6 + 0 + 5 + 7 = 18
:
5 + 9 + 2 + 4 = 20
:
4 + 8 + 3 + 6 = 21
:
3 + 7 + 2 + 5 = 17
:
2 + 1 + 3 = 6
:
1 + 8 = 9
:
979 318
-
14
4.
a. (3)
b.
i.
(3)
-
15
3
:__________________
:__________________
1)
175 456 78 695 267 826
217 035 171 065 129 486
563 256
216 735
-
16
2)
a) 130 625 + 412 815 + 3 307 =
b) 581 436 + 418 + 270 279 =
c) 403 816 + 136 728 + 7 288 =
d) 271 354 + 48 170 + 3 369 + 82 =
e) 563 196 + 316 602 + 4 768 + 439 + 5 =
f) 78 572 + 624 187 + 3 071 + 696 +
114 495 =
g) 6 593 + 365 429 + 45 999 + 18 + 725 =
h) 364 + 400 512 + 26 000 + 59 +
7 492 =
-
17
3)
4 9 9 9 9 9 2 9 9 9 8 + 6 9 9 5
+ 1 + 2 - 3
5 0 0 0 0 0 3 0 0 0 0 + 6 9 9 2 5 3 6 9 9 2
1
3 4 0 2 0 0 5 3 2 9 0 0 + 2 5 4 3 5
2
6 5 2 7 4 6 3 2 5 2 0 7 + 3 5
3
4 2 0 6 3 0 5 2 2 6 0 3 1 0 0 + 7
4
6 3 4 3 3 2 3 9 4 2 + 2 6 2 2
5
1 6 3 4 3 6 6 2 2 5 4 5 + 2 0 2 0 0 1
-
18
4)
120 328 + 311 412 +13 = 431 753
100 000 + 20 000 + 0 + 300 + 20 + 8
300 000 + 10 000 + 1 000 + 400 + 10 + 2
10 + 3
= 400 000 + 30 000 + 1 000 + 700 + 40 + 13
= 400 000 + 30 000 + 1 000 + 700 + 50 + 3
= 431 753
1
45 314 + 221 430 + 703 254 =
2
26 + 383 620 + 3 303 =
3
421 316 + 235 + 567 422 =
-
19
4
643 025 + 2 182 + 254 590 + 271 =
5
630 + 505 942 + 30 214 + 503 =
6
4 003 + 338 534 + 227 240 + 536 120 =
7
554 126 + 22 085 + 304 736 =
-
20
1 000 000
2.1
ii)
60
1.
a.
45
10 15
b.
c.
10 + 15 + ____ = 45
d.
2.
a.
b.
333 1 242 50 000 999
100 000 241 425 76 996
2 341 200 000 73 413 350 000
-
21
c.
d.
e.
f.
3.
a. 1 1
1
b.
c.
d.
()
i.
ii.
iii.
iv.
+ + =
+ + + = 100 000 200 000 500 000
+ + =
1242 73 413 350 000
-
22
e. a
f.
:
g.
h.
i. f, g h
:
v.
vi.
vii.
viii.
ix.
4.
a.
b.
i.
4
+ + + = 35 420 236 917 917
589 725
+ + + =
+ + + =
-
23
4
:__________________
:__________________
1. 346 + + 402 = 2 879
2. 4 105 + 1 241 + = 6 989
3. + 24 531 + 60 312 = 89 979
4. 321 434 + 3 102 + = 369 897
5. 45 223 + + 620 412 = 896 989
-
24
5
:__________________
:__________________
1. 2 048 + x + 719 = 5 988
x
2. y + 4 273 + 1 087 = 8 965
y
3. 24 135 + 2 745 + a = 68 248
a 4. 49 173 + b + 11 947 = 93 686
b
5. m + 238 115 + 467 703 = 848 215
m 6. 342 968 + 465 347 + n = 983 498
n
-
25
6
:___________________
:__________________
:
386 + + 124 = 982
7 12
9 8 2
- 1 2 4
8 5 8
15
8 5 8
- 3 8 6
4 7 2
1. 2 635 + 432 + = 4 645
2. + 48 + 24 635 = 38 158
3. 247 958 + + 14 142 = 265 364
472
-
26
4. 137 296 + 62 413 + a = 543 586 a
5. y + 476 805 + 64 719 = 786 915 y
6. 432 425 + m + 351 243 = 999 999m ?
7. 372 849 + 235 461 + n = 956 510 n
-
27
1 000 000
2.2
.
i
60
1.
a.
b.
i.
100g
0.4
3
-
28
2.
a.
b.
0.4 40g
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
0.1
10
g
10
g
10
g
10
g
10
g
10
g
10
g
10
g
10
g
10
g
i. 100g
ii. 40g
0.4 x 100g =40g
100g
0
0
0
0
0
0
0
1
0
0
0
0
0
0
100g
0.4
3
-
29
iii. 120g
40g x 3 =120g
iv.
260g
100g + 40g + 120g =
260g
3.
a.
120 g
40 g
40 g
40 g
260g
68 408
34 849
12 156
-
30
b.
c.
d.
i.
ii.
iii. 68 408
iv. 103
257
68 408 + 34 849 =
103 257
v.
183 821
68 408 + 103 257 +
12 156 = 183 821
68 408
34 849
12 156
68 408
68 408
34 849
?
12 156
-
31
vi.
355 486
68 408 + 103 257 +
12 156 + 183 821 =
355 486
4.
a. 7
b.
c.
d.
i.
7
-
32
7
1.
37 490
3 240
24 300
a.
b.
-
33
2.
RM41 6 RM246
RM10 6
3
RM411
3. 120 732 112 095 138 323
-
34
4. 368 408 849 156
5.
RM10 120
RM 5 50
RM 1 200
-
35
6.
P RM24 101.60
Q RM19 902.40
R
RM60 438.50R
-
36
1
A.
1. 3 517 + 4 362 =
2. 52 871 + 6 123 =
3. 96 718 + 3 281 =
4. 4 928 + 42 5071 =
5. 485 + 879 502 =
B.
1. 7 6 3 4 8 2. 5 4 3 3. 6 0 3 7 8
+ 3 5 3 1 + 2 3 4 6 + 2 0 2 5 3
1. 4 376 + 523 =
2. 80 354 + 9 635 =
3. 1 935 + 27 051 =
2
A.
1
5 438 + 7 561 =
5
2
596 + 97 634 =
3
735 498 + 59 =
4
461 287 + 4 392 =
5
52 498 + 5 734 =
-
37
3
A.
1. 2 4 3 2. 2 4
6 7 8 4 5 0 6
+ 5 2 5 4 9 8 7
+ 3 4 5 6 7 8
3. 4. 5 7 9 6
7 9 6 3
5 6 4 9 8 3
5. 549 + 34 793 + = 59 347
6.
PQ
4
A.
1 65 832
5 207
478 7 586 24 317
29 170
P Q
-
38
2
24 506
2 184 3 890
3 20 509 25 163
30 654
4 43 165
180 045
230 452
5
1. A 2 408 B A 500 C
1 077
2408 + 2408 + 500 + 1077 =
1. 2.
1 2 1 2
2 4 0 8 2 4 0 8
2 4 0 8 2 4 0 8
5 0 0 5 0 0
1 0 7 7 1 0 7 7
6 3 9 3 6 3 9 3
-
39
3.
2 0 0 0 + 4 0 0 + 0 0 + 8
2 0 0 0 + 4 0 0 + 0 0 + 8
5 0 0
1 0 0 0 + 0 + 7 0 + 7
5 0 0 0 + 1 3 0 0 + 7 0 + 2 3
6 0 0 0 + 3 0 0 + 9 0 + 3
6393
6
1. X, Y Z
X Y Z
11 946 84 500
Y Z
a. 11 946 + (Y + Z) = 84 500
11 946 - 11 946 + (Y + Z) = 84 500 - 11 946
(Y + Z) = 72 554
Y X
Y X
31 332 41 222 72 554
20 331 52 223 72 554
12 220 60 334 72 554
C. 8 4 5 0 0
1 1 9 4 6
7 2 5 5 4
-
40
1 000 000
3.1
i) 1 000 000
90
1.
a.
b.
c. 2 a
b
i
ii
iii.
2.
a.
2
:
478 321 82 543
200 000 100 000
32 500 555 000
-
41
b.
3 7 2 1
478 321
82 543 395 778
:
1 3, 2
1 11 3
2 10
2 8 8
:
1 4,
3 1 21 4
3 10
3 7 7
2 5
8 1 7 2 5
3 10
3 7 7
7 2 5 5
7 8
4 1 37 8
1 10
1 9 9
3
-
42
c. 2
:
600 000 45 267
d.
600 000 - 1
45 267 - 1
599 999
45 266 554733
e. a d
1
599 999 45 266
3.
a.
:
782 195 800 000
203 462 200 000
600 000
782 195
- 203 462
578 733
600 000
600 000 578 733
i.
782 195 203 462 =
-
43
b.
c.
4.
a. 89
b.
i.
8
53 716 12 879 =
10 100 1 600 2 000 :
2000 1600 100 16
50 000 + 3 000 + 700 + 10 + 6 -10 000 + 2 000 + 800 + 70 + 9 40 000 + 0 + 800 + 30 + 7
: 40 837
10 100 1 600 2 000 :
1700 110 16
50 000 + 3 000 + 700 + 10 + 6
-10 000 + 2 000 + 800 + 70 + 9
40 000 + 1 000 + 900 + 40 + 7 0 800 30 : 40 837
-
44
8
:_________________
: :_________________
1 284 975 63 264 =
A 221 711
B 347 711
C 348 239
D 348 665
2 883 125 125 743 =
A 757 382
B 762 622
C 768 371
D 908 868
3 702 000
40 000
A 762 000
B 742 000
C 662 000
D 642 000
4 452 253 + 41 546 = 67 183
A 560 982
B 426 616
C 385 070
D 108 729
5 563 200 149 340 =
A 413 860
B 424 860
C 426 140
D 712 540
-
45
6 420 184 81 623 =
A 461 516
B 416 154
C 338 561
D 336 046
7 500 000 = 243 160
A 356 830
B 343 160
C 263 160
D 256 840
8 354 772
189 308
A 165 464
B 233 080
C 235 464
D 544 080
9 803 695 203 462
A 600 237
B 606 237
C 600 233
D 607 033
10 200 687 10 000 = 190 687 200 687 50 000 = ________
A 953 435
B 150 687
C 953 345
D 762 768
-
46
9
:. :.
1.
4
3. 9.
2.
8.
6.
5
10.
7.
1. 508 106 = 2. 215 624 14 523 =
3. 628 135 213 728 = 5. 758 346 341 254 =
4. 8 765 4 346 = 7. 985 614 60 896 =
6. 495 829 182 438 = 8. 985 25 =
9. 71 285 1 264 =
10. 47 582 21 269 =
-
47
:
: 1 000 000
: 3.1
: ii.
: 60
1.
a.
12
5
b.
c.
12 ____ = 5
d.
e.
i.
1 2 3 4 5 6 7
12, 11, 10, 9, 8, 7, 6, 5
12 7 = 5
-
48
ii. ()
7
12 7 = 5
b. a e
2.
a.
b.
c.
3.
a. (ms power
point)
728 314 - = 685 437
24 18
19 8
13 6
-
49
b.
0 7 2 8 3 1 4
6 8 5 4 3 7
7
4.
i. 10 11
ii.
1 2
3
4
:
1 4 7
2 1, 0
3 4 7 3 10 3
7 7
:
4 0 3
5 1, 2
6 0 3 3 10 3
7 7
:
7 2 4
8 1, 7
9 2 4 2 10 2
8 8
:
10 7 5 2
11 2
:
12 2 8
13 1, 6
14 2 8 6 10 6
4 4
:
15 6 5 0
16 0
-
50
10 11
-
51
10
:__________________________
:__________________
1 6
A 781 731 B 871 731 C 729 630 D 881 731
2
200 100 250 100 X Y 400 100
Y X
A 50 000 B 75 000 C 350 000 D 750 100
3 4
3 900 000
A 23 457 B 24 567 C 33 457 D 76 543
5 7
8
8 3 4 6
8 5 0 7 2 9
-
52
4
A 345 678
B 530 865
C 530 935
D 531 135
5
545 820555 820 X , 605 820, Y
X Y
X Y
A 575 820 645 820
B 565 820 615 820
C 575 800 645 800
D 565 800 615 800
6 7
6 80 26
7 7 15
-
53
11
:. :.
Z
1. 653 217 - = 215 047
2. 46 1135 - = 135 245
3. 21 7 - 425 = 10 842
4. 80 21 - 86 = 748 235
5. - = 372 458
6. 82 - = 36
1. 2.
3.
4.
5. 6.
-
54
:
: 1 000 000
: 3.3
: i
: 90
1.
a. (ms power
point)
b.
c. :
1 000 000
120 567
512 394
:
1 000 000 - 120 567 - 512 394 =
1 000 000
120 567 512 394
.
1 000 000 . 120 567
- 512 394 -
.
-
55
2.
a.
b. .
:
c.
d.
e.
f.
g.
h.
i.
j.
k.
:
http://thesingaporemaths.com/p6Gu
essf.swf
http://www.mathstories.com/strategie
s.htm
http://fcit.usf.edu/fcat8m/resource/fc
at/strat.htm
225 725 .
11 791 . 24 506
7576
?
-
56
d.:
i.
.
225 725
24 506
7576
11 791
i. ?
ii. ?
iii.
?
-
57
225 725 (24 506 + 7576 +
11 791) =
ii
83 497 = 22 152
:
83 497
22 152
83 497 = 22 152
= 83 497 22 152.
= 61 345
e. i ii
3.
a. .
b. .
.
0.1
0.5
0.7
53 6
-
58
4.
a. 12
b.
12
0.35
0.167
0.89
4
3
0.095
258 753
-
59
12
:__________________________
:__________________
1 . 0.5 4
3
4
1
2. 0.267 . 4
3 ,
2
1
3. 0.025 . 100 1.7
4. 8
5,
4
3
0.9
5.
0.34 25
-
60
1
A. :
1. 7 689 6 532 = 2. 49 326 8 215 = 3. 396 000 42 000 = 4. 450 101 250 999 = 5. 596 542 123 572 =
1. 7 8 5 6 2. 9 6 8 3 7
5 3 2 5 7 3 4
3. 4 9 0 3 6 6 4. 5 3 2 7 8
8 0 2 5 4 1 0 2 6 5
5. 6 5 4 1 9 1 6. 8 7 6 9 0 5
4 3 0 5 0 4 3 2 6 0 3
2
1
79 653 4 978 =
5
2
6 576 835 =
3
86 325 79 524 =
4
461 287 14 392 =
5
52 498 5 834 =
-
61
3
1. 7 8 5 6 2. 2 9 8 5 7
6 8 9 4 3 6 6 5 9 5
3. 8 3 4 9 7
9 7 3 8
4. 7 3 2 1 6 3
2 9 5 4 6 5 3 9 4 8 7 5
5. 6 5 3 4 9 6. 9 0 9
0 5 2 5 7 8 8
4
A. .
1. 4 640
214
2. M 48 214 N
M 12 450
580
.
3 380
11 492
7 683.
.
-
62
14 217
3 750
8 346 1 337
.
5
2075 505 80
5 .
a.
2075
505
505 80 425
2075 505 425 = ______
2 0 7 5 1 5 7 0
5 0 5 4 2 5
1 5 7 0 1 1 4 5
6
A.
387 215
8 3
-
63
:
: 1 000 000
: 4.3
: i
: 60
1
:
a. 8
48
i.
ii. 6 4 3
i
b. 5
40 B
B 5
B :
i. 5
B 40
i.
ii.
iii.
-
64
ii.
iii. i ii
2
a.
:
b)
i.
ii.
iii.
iv.
100 = 20 000
v.
3.
4
1.
a) 4
A
B
C
i.
ii.
100
20 000
-
65
D
b. 10
c.
4.
a. 13
b.
13
-
66
13
: _____________________ : ____________
A.
1. 4 = 1 824 8. 6 = 4 698 2. 7 = 4 179 9. 18 = 87 426 3. 8 = 4 368 10. 24 = 135 168 4. 9 = 54 081 11. 32 = 157 952 5. 3 = 26 811 12. 15 = 120 510 6. 10 = 4 870 13. 100 = 2 300 7. 100 = 523 800 14. 1000 = 654 000
B.
1. 540
60
2.
850
-
67
2
A :
B :
8 = 4 936
12 = 25 212
7 = 157 077
12 = 361 500
= 45 000
= 360 000
= 985 000
= 786 000
-
68
C :
D :
5 , 25 , 125 , 625 , a
7 , 28 , b , 448 , 1 792
18 , 54 , 162 , c , 1 458
12 , 72 , d , 2 592 , 15 552
3500 70
875 25
24 817 360
65 15 600
-
69
: 1 000 000
: 4.3
: ii
: 60
1.
a. 5
b. :
6
30
c.
___ x 6 = 30
d.
e.
2.
a.
88 500
442 500
b.
c. c. a b
d.
-
70
3.
a. 5
b. 5
i.
ii.
1 :
10 780
75 460
2 :
43 207
388863
3 :
40
300 000
-
71
b.
c.
4.
a. (14)
b.
14
5 :
6 635
663 500
4 :
1 350
13 500
-
72
14
:__________________________
:__________________
A.
1. 73 600
662 400
:
2. 8
765 232
:
-
73
3. 102 500
922 500
4. 9870
197400
5. 4 958
495 800
:
:
-
74
:
: 1 000 000
: 4.3
: iii
: 60
1.
a.
b.
c. :
1 = 5
a = 15
a
i
.
5
15
-
75
2.
a.
515
a515
b.
c. a
i.
ii.
i.
ii. a
3.
a.
i.
ii.
a5 15
a5
5
5
15
a1 3
a 3
-
76
:
a515
5a5
15
5a3
:
4.
a. (15)
b.
c.
d.
(15)
-
77
15
: _______________
: _______________
1. a 4 36 2. a 7 49
3. b 2 368 4. b 8 392
5. c 5 5 065 6. c 6 6 666
-
78
7. 10 a 11 400 8. 10 a 60 220
9. 100 b 731 900 10. 100 b 100 300
11. 1 000 c 321 000 12. 1 000 c 1 000 000
-
79
1
A.
1. 36 700 x 21 = 770 700
2. 52 103 x 8 = 416 824
3. 18 960 x 32= 606 720
B.
1. 1 2 3 4 3 2 2. 3 1 2 0 2 1
x 2 x 3
2
1
67 456 x 14 =
2
26 894 x 9 =
3
65 234 x 7 =
4
6 458 x 12=
5
9 867 x 8 =
-
80
3
A.
1. 1 4 5 6 8
x 7
2. 2 0 4 8 3
x 9
3. 4 7 8 6
x 3 2
4. 3 8 9 6 7
x 1 0
5 8 3 0 4
x 1 0 0
-
81
6. 4 2 1
x 1 0 0 0
7. 658 x a = 65 800. a _______
8.
31 456 x 8 = _______
4
A.
16 26 675
426 800
32
5
A.
67 250
1: 1 1
6 7 2 5 0
x 1 2
1 3 4 5 0 0
6 7 2 5 0
8 0 7 0 0 0
-
82
2:
1 6 7 2 5 0
2 1 3 4 5 0 0
4 2 6 9 0 0 0
8 5 3 8 0 0 0
1 2 8 0 7 0 0 0
6
RM120 000
10
:
()
40
10 10
RM325 X 10 = RM3250
40 X 10 = 400
RM150 X 400 = RM60 000
RM800 X 10 = RM8 000.
RM3 250 + RM60 000 + RM8 000 = RM 71 250.
RM 120 000
RM 120 000 RM 71 250 = RM 48 750.
()
RM 325 RM 150
-
83
:
: 1 000 000
: 5.2
.
: (i)
: 60
1.
a.
b.
c.
d.
a) 24 ?
b) 16 ?
-
84
2.
:
768 432
8
a.
54
6
b.
i.
-
85
ii.
54 6
27 3
9 1
iii.
54 6
54 6 =9
768 432 8 = ____
c.
3.
a.
b.
-
86
2
i. A
B
ii. B
B C
iii. C
C B
c.
A
B
C
-
87
4.
a. 16
16
-
88
2
1. 650 000 5
2. 432 048
3. 550 660
10
iii. 200 561 4
-
89
16
1. 3 RM18.005
2. 35 5
3. 20 8 60 10 30
4. 156 16
-
90
:
: 1 000 000
: 5.3
: i
: 60
1.
a.
( )
b.
12 _____ = 4
____
c.
d. 15
-
91
5
)
e.
15 ____ = 5
_____
f.
2.
a.
i 320
4
ii 2 475
15
b.
c. ai aii
3.
a. i. a 6 = 40
ii. b 30 = 125
iii. 2 760 x = 15
iv. 12 564 y = 9
-
92
4.
a. (17
b.
17
-
93
17
:_________________
:__________________
1. 12
4
2. Y 12 = 105
3. 460 Z = 23 4. 1 25
5
5. 30
10
6.
32 = 318
-
94
:
: 1 000 000
: 5.3
: ii.
iii.
: 60
1
a.
b.
15 480 _____ = 2 580
c. b
2 580 1
5 160 2
7 740 3
15 480 6
d. a c
15 480
2 580
-
95
2
a.
:
b.
:
375 = 15
384 2 =
c.
P
: 375 P = 25
384 2 = P
d.
i
ii.
3.
a.
:
375 P = 25
384
375
15
-
96
b.
i)
ii)
iii)
iv)
c. P
(i)
375
- 25 1
350
- 25 2
325
0
P = 15
(ii)
375 P = 25
P
375 = 25
375 = 25 P
25
375 = P
P = 15
d.
-
97
4.
a. (18)
b.
18
-
98
18
:
1.
: =
2.
: =
3.
: =
2 985
298 500
565 100
20
90 000
9000
-
99
4.
: =
5.
: =
6.
: =
6 750
50
4 575
305
2
5 400
360
-
100
1
A. :
1. 32 814 9 = 3 646
2. 389 472 12 = 32 456
3. 810 075 35 = 23 145
B. .
1. 4 4 8 2 2 0 0 2. 3 6 2 1 7 0 2
2
1
65 382 6 =
2
177 422 7 =
3
199 042 23 =
4
215 628 34 =
5
878 766 98 =
-
101
3
B. .
1. 331 056 8 =
2. 251 532 36 =
3. 498 673 a =
4. 900 700 100 =
-
102
5. 812 000 1000 =
4
1. 592 440
60
2. 784 620
3. 161 315
35
-
103
5
105 42416
:
i. .
6 5 8 9
1 6 1 0 5 4 2 4 1 6 16
9 6 2 12 32
9 4 3 18 48
8 0 4 24 64
1 4 2 5 30 80
1 2 8 6 36 96
1 4 4 7 42 112
1 4 4 8 48 128
0 9 54 144
ii. .
105 424 16
52 712 8
26 356 4
13 178 2
6 589 1
6
86
-
104
:
:
: 6.3
: i. 1 000 000
: 120
1
a. :
50
7
120
b.
2
a.
b.
:
50 + 120 7
c.
i.
ii.
iii.
3.
i. :
i.
ii.
30 + 50 4 =
-
105
ii.
iii.
50 x 4
30.
= 30 + 200
= 230
iv. (a)
v. (30 + 50)
vi.
= 80 4
= 320
vii.
:
BODMAS
(,)
( ) Brackets Of
Division, Multiplication
+ Addition, Subtraction
B:
D:
M:
A:
S:
iii.
iv.
(30 + 50) 4 =
-
106
4.
a)
(19)(20)
b)
c)
1.
19 20
-
107
19
1. (16 923 8 976) 7 =
2. ( 521 + 8 462) 62 =
3. 60 711 + ( 816 975 25 ) =
4. 583 277 ( 329 967 + 33 ) =
5. 7 022 + ( 1 441 24 ) =
6. 100 (50 000 45 321) =
7. 17 ( 640 406 40 604 ) =
8. ( 83 214 + 1 442 ) 8 =
-
5
108
20
4
2
1 5
3
1. (6 722 + 324 ) 8 =
2. 4 832 + 246 4 =
3. 18 ( 17 903 4 865 ) =
4. 1 105 5 26 =
5. ( 8 482 + 7 886 ) 24 =
-
5
109
:
:
: 7.2
ii) 10
60
1.
a.
b.
2 A 3
1 B
5
1 ?
c.
2.
a.
2013 4
3
8
1
, 8
3.
b.
c.
4
3 -
8
1 -
8
3 =
-
5
110
i.
8 A4 6
4 2
ii.
1
4
3 =
8
6
8
1
8
3
2
8
2 =
4
1
c) 4
3
8
1
8
1
8
1
8
1
-
5
111
iii.
4
3 -
8
1 -
8
3 =
8
6 -
8
1 -
8
3 =
8
2 =
4
1
d.
3. .
X
a)
b)
c)
i)
13
1 =
3
4
ii)
3
4 =
6
8
6
5
6
6
6
7
6
8
6
9
X 6
9 = 1
6
3 = 1
2
1
i.
ii.
iii.
6
5 1
3
1 X
-
5
112
i. 3
4
6
5 =
6
8
6
5 =
6
3
6
3 =
6
1 +
6
1 +
6
1
X
3
4 +
6
1 =
6
8 +
6
1 =
6
9 = 1
6
3 = 1
2
1
iv. 6
3
?
4
c. 21
d.
21
-
5
113
21
: _________________________
: ________________
1) 65
3 1
3
1
5
3
?
2) 14
1
5
2 ,
4
3
3) 54
1
3
1 10 ?
4) 15 m 3
1 m A 5
6
5 m
B m ?
5)
Y 14
1 2
4
1
Y ?
-
5
114
: : RM1 000 000
: 10.7
: i)
,
: 180
1.
a.
b.
c.
:
i.
ii.
iii.
iv.
v.
()
i.
ii.
iii.
iv.
-
5
115
2.
a. 5
b.
c.
RM500
[ 1 ]
[ 2 ]
[ 3 ]
[ 4 ]
RM100
[ 5 ]
3.
a.
b.
c.
d.
-
5
116
4.
a.
b.
-
5
117
1
RM500
1. 10 kg
2. 3 kg
3. 5
4. 5 kg
5. 10
6. 5 kg
1.
2. 2
3.
4.
RM35.50 RM33.70
RM2.30
-
5
118
1
1.
2.
(RM)
1 35.50 1
2 33.70 1
3 2.20 5
4 2.30 5
5 2.50 10
6 13.35 1
RM
RM2.20 RM2.50 RM13.35
-
5
119
2
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
-
5
120
RM 25.00
RM 35.00
RM 38.00
RM 42.00
RM 9.50
-
5
121
2
1.
2.
3.
4.
5. RM4325
6.
RM 16.00
RM 39.00
RM 49.90
RM 8.90
-
5
122
3
1
2
3
4
-
5
123
:
1.
2.
3. RM835.60
7 RM50, 5 RM20, 8 RM10 3 RM5
4.
4
1. 2
2. 8
3. 2
4. 10
1.
2.
3.
4.
5.
-
5
124
RM230
RM350
RM20.50
-
5
125
1.
2.
RM55
-
5
126
N0 35 ,Rumah Rakyat Rompin 73500 Rompin Negeri Sembilan
1 10 RM75.00
2 20 x 10 RM80.00
3 RM600
4 RM84
5 RM550
..
( )
32 Jalan Besar Rompin 73500 Rompin Negeri Sembilan
/
1 2 RM230.00
2 2 RM350.00
3 10 RM55.00
4 8 RM20.50
5
.
-
5
127
5
RM100
:_________ _______
/
/
/
1
2
3 (LRT)
4
5
6
7
8
:_________ _______
/
/
/
1
2
3 (LRT)
4
5
6
7
8
-
5
128
:_________ _______
/
/
/
1
2
3 (LRT)
4
5
6
7
8
-
5
129
/
1. RM100
2.
3.
4.
-
5
130
: RM1 000 000
: 10.8
: i
: 120
1
a.
b.
www.youtube.com/watch?v=hvMYpKggi
kg
c.
www.youtube.com/watch?v=-
0KOZHHyhwQ
www.min.com.my
i.
?
ii.
?
iii.
?
2
a.
b.
c.
RM180 000
RM30 000
d.
( 1: )
i.
?
ii.
-
5
131
e.
3%
f.
g.
http://www.mybijakwang.blogspot.com/
2010/02/faedah-kompaun.html
iii.
3.
a. (4 ),
2:
b.
c.
d.
e.
1: :
1.
2.
2:
1.
2.
-
5
132
f.
4
a. 21
b.
c.
http://www.mymoneyskills.com/mms/my
/ms_MY/budgeting_and_saving/saving.s
html
21
-
5
133
RM180 000
RM30 000
1:
(RM)
RM 180 000
-
5
134
2:
A
: RM10 000.00
5%
RM11 576.25
B
: RM10 000.00
5%
1 0.05 RM500
2 0.05 RM500
3 0.05 RM500
RM1500
RM10 000 + RM1500 = RM11 500
-
5
135
21
:__________________________
: __________________________
A
1 RM5 000.00 2% RM100.00 RM5 100.00
2 RM5 100.00 2% RM102.00 RM5 202.00
3 RM5 202.00 2% RM104.04 RM5 306.04
4 RM5 306.04 2% RM106.12 RM5 412.16
5 RM5 412.16 2% RM108.24 RM5 520.40
1. A
_______________
2.
_______________
3.
_______________
4.
_______________
5.
_______________
-
5
136
:
: RM1 000 000
: 10.8
: (ii)
: 120
1.
a.
:
RM40
RM 20
i.
ii.
b.
http://www.youtube.com/watch?v=gxz1zln
mo58
i.
a.
b.
ii.
RM2
RM10
RM40.00
-
5
137
c.
:
i.
ii.
iii.
2.
1
a.
:
b.
:
3
2
a.
b. 4
:
i. = RM5
= RM2
= RM3
ii. = RM4
= RM2
= RM2
i. ?
ii.
-
5
138
3.
a.
22-25
b.
i. ,
ii.
4.
a.
:
b.
:
http://www.youtube.com/watch?v=gxz1z
lnmo58
http://financeintheclassroom.org/student
/activities.shtml
http://dealseekingmom.com/free-
financial-education-activity-books-for-
kids/
-
5
139
3
:
(RM) (RM)
// 6.00 6.00
(RM) (RM)
3.00 2.00
2.50
2.00
0.50 1.00
6.00
5.00
() 0 1.00
-
5
140
4
:
(RM) (RM)
// 30.00 40.00
(RM) (RM)
10.00 10.00
10.00
8.00
8.00
12.00
2.00
1.00
30.00
31.00
() 0.00
9.00
-
5
141
22
: :
(RM) (RM)
//
(RM) (RM)
()
-
5
142
23
: . :
RM0.00
: RM15.00
RM20.00
RM 3.75
...............
RM 8.00
...............
...............
..............
...............
-
5
143
24
: . :
-
5
144
25
: . :
RM50
RM8.00
RM4.50
RM5.95
RM2.75
RM35.00
RM15.99
RM22.50
RM42.00
RM6.50
RM10.00
RM7.99
RM8.50
RM0.75
RM0.99
RM1.50
RM4.00
RM8.89
RM9.95
RM2.00
RM14.99
:
RM50
-
5
145
5
1.
2.
3.
4.
5. (: )
6. (: )
7.
8. 6
-
5
146
:
: RM1 000 000
: 10.9
: i)
: 120
1.
a.
:
? RM12.00 ?
b.
:
2
RM0.90
1
RM2.50
5 RM2.50
2.
a.
http://www.youtube.com/watch?v=h
HUXx45M4A4
b. ( 6)
http://www.duitsaku.com.my/
?
-
5
147
c.
:
:
http://www.youtube.com/watch?v=kZAdamA7
wf8
http://www.youtube.com/watch?v=C_docL7F2
us
i.
ii.
iii.
3.
a.
5 RM8
RM3
7
.b.
c.
i.
ii.
?
iii.
-
5
148
4.
a. ( 8)
b.
-
5
149
6
2015 1 ()
(A)
(B)
A B
(RM)
(RM)
2015
1 1
RM5.00
1.50
1.90 1.00
0.60
2015
1 2
RM5.00
1.00
2.40 0.60
1.00
2015
1 3
RM5.00
1.50
2.90 0.60
2015
1 4
RM5.00
1.00
2.00 1.00
1.00
2015
1 5
RM6.00
0.50
2.20 0.20
1.50
0.60
RM26.00 14.60 11.40
-
5
150
2015 1
(A)) (B) (A-B)
RM26.00 RM14.60 RM11.40
RM25.00 RM13.00 RM12.00
RM26.00 RM15.00 RM11.00
RM30.00 RM20.00 RM10.00
RM107.00 RM62.60 RM44.40
2015
RM
65.00
44.40
-
5
151
7
5
5 RM5
(A)
(B)
A B
(RM)
(RM)
2015
1 1
RM4.00
1.50
1.50 1.00
2015
1 2
RM3.00
1.00
0.70 0.60
0.70
2015
1 3
RM3.00
1.50
0.90 0.60
2015
1 4
RM3.00
1.00
0.70 0.60
0.70
2015
1 5
RM3.00
1.00
1.20
0.20
0.60
RM16.00 11.00 5.00
-
5
152
8
: ()
RM10.00
(A)
RM
(B)
A B
(RM)
(RM)
2015
1 6
5.00
1.90
2015
1 7
5.00
1.00
2.40
1.00
2015
1 8
5.00
3.00
2015
1 9
5.00
2015
1 10
5.00
10.00
-
(KSSR)
-
153
:
:
: 16.1
i. x-y-0
60
1.
a.
i.
ii.
/
iii. L
L
L
2.
a.
b.
c P
d. P
i.
ii.P
iii. P
P Q R S T
-
154
e.
f. P
iv.
()
x-
3
v.
y-
vi. P ?
vii. x- y-
L
x P
1 2 3 4 5 6 7 O
2
1
4
3
5
7
6 P
y
O
-
155
x- y-
x- y-
3.
a. P Q R S T
x-
y-
P
3
5
Q
R
S
T
i. , P ?
3 5
3 5
ii.
Q ?
R ?
S ?
x
y
2
4
3
5
7
6
1
1 2 3 4 5 6 7 O
-
156
b.
c.
x-
y-
P
3
5
Q
2
3
R
6
5
S
4
9
T
5
1
P
Q
R
S
T 2
4
3
5
7
6
x 1
1 2 3 4 5 6 7
y
O
97 8
-
157
4.
a. 26
b.
-
158
26
:_________________________________________ : _______________
x- y-
A
B
C
D
E
F
1
2
3
4
5
6
7
A
B
C
D
F
E
x
y
O 1 2 3 4 5 6 7 8
-
159
x- y-
H 5 4
J 3 2
K 6 1
L 1 5
M 0 2
N 7 0
1 2 3 4 5 6 7 8
1
2
3
4
5
6
7
y
x O
O
-
160
.
16.1
ii) x- y-
120
1.
a.
b.
i.
ii.
2.
a. O
O ?
5
y
x O
O
y
x
-
161
O x- y-
b. x- y-
:
x- y-
2 3 (2,3)
c.
i. x- = 2
ii. y- = 3
iii.
(2,3)
d. c .
:
x- y-
4 1 (4,1)
O 1 2
1
3 4 5
1
1
2
1
3
4
5
. x
y
1 2
1
3 4 5
1
1
2
1
3
4
5
. O
x
y
-
162
e.
skitel
3.
a.
:
x- y-
4 3 (4, 3)
b. 4
1
2
3
4
5
6
7
2 1 3 4 5 6 7
polisterin)
O
O
1
1 2
2 1
3 4 5
1
1
2
1
3
4
5
y
x
-
163
c. 3
d. x- y-(4,3)
4.
a. 27 31
b.
1
1
2
1
3
4
5
y
O
1
1 2
1
3 4 5
x
O
1
1 2
1
3 4 5
1
1
2
1
3
4
5
y
x
.
-
164
27
:_________________
:_________________
: x- y-
x- y-
1 (3,4) 3 4
2 (1,5)
3 (5,3)
4 (2,1)
5 (4,2)
6 (6,4)
7 (3,9)
8 (4,1)
9 (1,2)
10 (7,4)
-
165
28
:_________________
:_________________
: x- y-
x- y-
1 2 3 (2,3)
2 4 5
3 3 1
4 2 6
5 6 3
6 5 4
7 7 1
8 3 6
9 4 2
10 1 5
-
166
29
:_________________
:_________________
: (Cartesan)
x- y-
A 1 6 (1,6)
B 2 5
C 6 1
D 3 8
E 6 2
F 7 3
G 8 6
H 1 4
I 4 3
J 7 9
y
9
10
2
3
4
5
6
7
8
.A
O 9 10 8 7 1 2 3 4 5 6
1 x
-
167
30
:_________________
:_________________
: x- y-
x- y-
A (2,4) 2 4
B (3,9)
C (6,1)
D (7.3)
E (5,2)
F (4,1)
G (3,8)
H (5,4)
I (4,8)
J (1,9)
9
y
O 9 10 8 7 1 2 3 4 5 6
1
2
3
4
5
6
7
10
8
.A
x
-
168
31
:__________________________ :_________________
:
A (2,3)
B
C
D
E
F
G
H
I
J
O 9 10 8 7 1 2 3 4 5 6
1
2
3
4
10
5
6
8
9
7
.A
x
y
.C
.I .G
.H
.A
.B
.A .D .F
.J .E
-
(KSSR)
-
169
18.1
i.)
120
1.
a.
b.
c. :
i.
ii.
d.
=
e.
i.
ii.
iii.
iv.
v.
vi.
vii.
2.
29 69
99
29 49 19
19 29 29 4
9
6
9
-
170
a.
b.
60 68
c.
2
d. = 60 + 68
2
= 64
e.
54 60 68 8
8
90 6
0
i.
ii.
iii.
?
iv.
3.
a.
b.
c.
i.
ii. m, a, t, e, m, a, t, i, k, a
iii. 23, 43, 13, 13, 23, 13, 33
i.
-
171
i.
ii. 78, 88, 80, 90, 64, 74
:
i. 78, 43, 25, 64, 25
ii. 6kg, 7kg, 2kg, 3kg, 2kg, 4kg
:
i. 3,43,13,13,23,13,33
ii. 10,20,100,200,1000,2000
4.
a. 32 33
b.
c.
11
8
9 2 4 8 4 8 8
-
172
32
:__________________________
:_________________________
1.
a) __________
b) ?__________
2.
a) ___________
b) ?___________
3.
____________
4.
_____________
5.
a) _____________
b) _____________
6.
a) ______________
b) ______________
120 250 120 120 340
a b e a c f a t
24 22 18 20 28 27
45 120 40 30 180
11 17 15 10 11
10 30 20 10 40
-
173
33
:__________________________
:__________________________
.
1.
: _________________
: _________________
: _________________
: _________________
2.
: _________________
: _________________
: _________________
: _________________
3.
: _________________
: _________________
: _________________
: _________________
4.
: _________________
: _________________
: _________________
: _________________
11 15 7 13 7 7
5 15 10 20 12 10
7 1 1 7 1 3 1
5 9 3 5 8
-
174
9
10
10
2
10
2
10
10
-
175
18.2
ii.)
120
1
a.
b.
c.
Angry Bird 8
Bubble
Shooter
10
Speed Car 5
Bejeweled 3
Fruit Ninja 6
Farmville 8
i.
-
-
-
-
-
-
ii.
iii.
iv.
2.
a.
b.
M
-
176
c. A
i).
ii).
iii)
d. B C D (c)
e.
i.
ii.
-
177
f.
g
h
I
iii.
3.
a.
3 3 3 3 4
2 5 2 4 1
a. B
b.
1 2 2 3 3 3 3 4 4 5
c.
i.
ii.
iii.
iv.
v.
4.
a.
b.
i.
ii.
iii. 2
-
178
A
B
C
D
E
F
c.
d.
iv.
34 35
-
179
34
1.
________________________________________________________________
2. CSL
CSL
____________________________________________________________________
3.
4. Z D E D Z T U Z D E U Z T
________________________________________________________________
-
180
35
A.
10
1.
2.
3.
-
181
B.
0
2
4
6
8
10
12
14
16
18
20
1.
_____________________________________________________________________
2.
____________________________________________________________________
3.
____________________________________________________________________
-
182
C.
40%
10%
30%
10%
10%
5A
1.
_____________________________________________________________________
2.
______________________________________________________________________
3.
______________________________________________________________________
4.
______________________________________________________________________
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