Supplementary Maths
Aanvullende Wiskunde
ANSWERS
ANTWOORDE
Set by / Opgestel deur
Seeliger ~ Mouton
www.systemmaths.co.za
© Copyright Reserved
© Kopiereg Voorbehou
CAPS
Gr 7 Supplementary Maths
ANSWERS / ANTWOORDE
A
Mental Maths / Hoofrekene
Prac 1
1. 7
2. 6
3. 7
4. 3
5. 8
6. 6
7. 6000
8. 60 000
9. 400
10. 400 000
Prac 2
1. 7824
2. 36 215
3. 642 371
4. 325 768
5. 246 783
7842
36 512
643 271
326 768
246 883
8427
63 253
643 712
352 768
264 338
8724
63 523
643 721
362 768
264 383
Prac 3
1. 2 406
2. 2 386
3. 4 176
4. 3 976
5. 60 247
6. 58 247
7. 816 256
8. 796 256
9. 1 009 888
10. 989 888
Prac 4
1. 13
2. 33
3. 13
4. 43
5. 13
6. 53
7. 14
8. 64
9. 14
10. 84
Prac 8
1. 3
2. 33
3. 3
4. 43
5. 5
6. 45
7. 6
8. 56
9. 6
10. 66
Prac 12
1. 12
2. 15
3. 28
Prac 5
1. 37
2. 56
3. 72
4. 99
5. 103
6. 142
7. 165
8. 146
9. 131
10. 147
Prac 9
1. 18
2. 17
3. 15
4. 12
5. 19
6. 21
7. 28
8. 23
9. 19
10. 46
Prac 13
1. 21
2. 36
3. 40
Prac 6
1. 193
2. 223
3. 305
4. 325
5. 406
6. 506
7. 617
8. 817
9. 753
10. 953
Prac 10
1. 54
2. 38
3. 183
4. 163
5. 287
6. 387
7. 463
8. 554
9. 671
10. 871
Prac 14
1. 6
2. 6
3. 7
Prac 7
1. 76
2. 59
3. 98
4. 57
5. 88
6. 79
7. 88
8. 119
9. 129
10. 148
Prac 11
1. 67
2. 88
3. 69
4. 68
5. 159
6. 226
7. 377
8. 289
9. 356
10. 366
Prac 15
1. 4
2. 5
3. 2
Gr 7 Aanvullende Wiskunde
4. 45
5. 16
6. 27
7. 35
8. 40
9. 36
10. 44
Prac 16
1. 12
2. 8
3. 6
4. 12
5. 9
6. 6
7. 12
8. 6
9. 12
10. 9
Prac 20
1. 14
2. 18
3. 6
4. 9
5. 3
6. 5
7. 2
8. 8
9. 9
10. 8
Prac 22
1. 4
2. 9
3. 18
4. 31
5. 8
6. 3
7. 12
8. 10
9. 8
10. 6
Prac 24
1. 41
2. 43
3. 98
4. 179
5. 43
6. 58
7. 175
8. 354
9. 6r2
10. 9r5
Prac 26
1. 51
2. 51
3. 168
4. 468
5. 64
6. 15
7. 28
8. 89
9. 125
10. 44
4. 24
5. 54
6. 63
7. 48
8. 60
9. 72
10. 49
Prac 17
1. 6r1
2. 4r1
3. 3r1
4. 2r3
5. 2r1
6. 1r6
7. 4r2
8. 3r3
9. 2r4
10. 2r2
4. 8
5. 5
6. 11
7. 8
8. 8
9. 7
10. 9
Prac 18
1. 6r1
2. 4r1
3. 3r4
4. 3r1
5. 2r7
6. 8r2
7. 6r4
8. 4r6
9. 4r2
10. 3r7
Prac 21
1. 16
2. 13
3. 6
4. 9
5. 6
6. 8
7. 2
8. 4
9. 7
10. 9
Prac 23
1. 9
2. 8
3. 29
4. 39
5. 4
6. 3
7. 3
8. 8
9. 12
10. 7
Prac 25
1. 42
2. 62
3. 99
4. 167
5. 17
6. 38
7. 344
8. 602
9. 2r6
10. 9r7
Prac 27
1. 138
2. 138
3. 5r3
4. 4r6
5. 57
6. 26
7. 31
8. 108
9. 119
10. 18
4. 9
5. 9
6. 6
7. 9
8. 9
9. 7
10. 7
Prac 19
1. 11r3
2. 9r2
3. 6r5
4. 5r7
5. 10r2
6. 8r4
7. 7r3
8. 5r7
9. 7r4
10. 6r6
Prac Maths © Copyright Reserved
Prac 28
1. 45
2. 450
3. 540
4. 42
5. 420
6. 420
7. 320
8. 3200
9. 900
10. 1600
Prac 30
1. 126
2. 185
3. 74
4. 155
5. 2345
6. 3544
7. 145
8. 67
9. 58
10. 166
Prac 32
1. 11
2. 13
3. 11
4. 25
5. 11
6. 13
7. 117
8. 390
9. 8
10. 28
Prac 34
1. =
2. <
3. >
4. <
5. =
6. <
7. <
8. <
9. >
10. <
Prac 36
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
16-12 = 4
32-2 = 30
3+4+2 = 9
20+2 = 22
30-12+4=22
32 ÷ 4 = 8
54 + 6 = 60
9 + 4 = 13
16-4-2 = 10
48-8+2 = 42
Prac 38
1. 8 + 8 = 16
2. 7 + 14 = 21
3. 60 ÷ 12 = 5
4. 65 - 15 = 50
5. 144 + 25 = 169
6. 0 + 234 = 234
1
Prac 29
1. 69
2. 56
3. 185
4. 108
5. 189
6. 336
7. 504
8. 312
9. 378
10. 273
Prac 31
1. 137
2. 344
3. 259
4. 588
5. 2313
6. 3414
7. 137
8. 167
9. 49
10. 236
Prac 33
1. 22
2. 15
3. 13
4. 36
5. 42
6. 17
7. 158
8. 434
9. 10
10. 41
Prac 35
1. =
2. >
3. >
4. <
5. <
6. =
7. >
8. <
9. =
10. =
Prac 37
1. 10+5 = 15
2. 12-4 = 8
3. 54-3 = 51
4. 28 ÷ 4 = 7
5. 6+12-2 = 16
6. 48 ÷ 4 = 12
7. 9  12 = 108
8. 72 ÷ 12 = 6
9. 4+6-2 = 8
10. 120-10+5=115
Prac 39
1. –
2. +
3. ÷
4. ÷
5. 21+14÷7 = 23
6. (21+14)÷7 = 5
Gr 7 Supplementary Maths
7.
8.
9.
10.
590 + 0 = 590
100 - 64 = 36
10 + 30 = 40
46 ÷ 2 = 23
7. (34+14) ÷4 = 12
8. 34 + (144) = 90
9. (28+8) ÷6 = 6
10. 28 + 8  6 = 76
Prac 40
Prac 41
1. 30÷3 - 3 = 7
2. 30+ 3  3 = 39
3. 12  6 - 6 = 66
4. 12 + 6  6 = 48
5. 15  4 - 4 = 56
6. 15 - 4 ÷ 4 = 14
7. 27  2  9 = 63
8. 27  2 - 9 = 45
9. 84 ÷ 7 + 5 = 17
10. 84 ÷ 7 - 5 = 7
1. 122221320
2. 164263362
3. 186285384
4. 215314413
5. 257356455
6. 142240338
7. 156254352
8. 185282381
9. 219317415
10. 371469567
Prac 42
1. 839198104
2. 73808897
3. 39302417
4. 527099127
5. 7455278
6. 82644844
7. 275374473572
8. 37627717879
9. 157255353451
10. 650725800825
Prac 43
1. 47181 ; 47381
+200
2. 73963 ; 73663
–300
3. 27179 ; 32179
+5000
4. 27457 ; 23457
–4000
5. 848621 ; 1048621
+200 000
Prac 44
Prac 45
1. x
1. 53 275
2. t
2. 53 300
3. 0
3. 14 690
4. g
4. 15 000
5. 0
5. 787 000
6. 790 000
6. p  1
7. 642 190
7. x
8. 642 200
8. 0
9. 642 000
9. x + y
10. 640 000
10. p + t
Prac 46
1. 1; 2; 3; 4
2. 0; 1; 2; 3
3. 9; 18; 27; 36
4. 2, 3, 7, 11
5. 10; 12; 14; 16
6. 101; 103; 105; 107
7. 11; 13; 17; 19
8. 1, 4, 9, 16
9. 40 000
10. 2  12  93 = 2232
Prac 47
1. 910
2. 9889
3. 10
4. 0
Gr 7 Aanvullende Wiskunde
5. 30  6 = 180
6. 17 + 78 = 95
7. 899 999
8. 476
9. 1824  2 = 3648
10. 360
Prac 48
1. 952 108
2. 501 000
3. 422 123
4. 237 318
5. 2 181 217
Prac 49
1. 7005
2. 108 066
3. 352
Prac 50
1. 31 275
2. 42 572
3. 146
4. 47
5. 273
6. 34
Prac 51
Prac 52
1. 36; 42; 48; 54
2. 63; 70; 77; 84; 91
3. 54; 63; 72; 81; 90
4. 96; 108; 120; 132
5. 13; 26; 39; 52; 65
Prac Maths © Copyright Reserved
2
Prac 53
1. 1, 2, 5, 10
2. 1, 2, 3, 6, 9, 18
3. 1, 2, 4, 7, 14, 28
4. 1, 3, 5, 9, 15, 45
5. 1, 2, 3, 6, 9, 18, 54
Prac 54
1. 2 & 3
2. 2 & 5
3. 2 & 3
4. 3 & 5
5. 2, 3 & 11
Prac 55
1.
2.
3.
4.
Prac 56
1. 1
2. 1
3. 3
4. 6
5. 7
6. 4
7. 9
8. 24
9. 15
10. 12
Prac 58
1. a) 7 : 3
c) 4 : 9
2. R24 (8  R3)
R60 (12  R5)
3.
a) 18 : 24 = 3 : 4
b) 18 : 42 = 3 : 7
Prac 59
Prac 57
1. 12
2. 28
3. 8
4. 24
5. 60
6. 36
7. 24
8. 30
9. 28
10. 36
b) 2 : 7 (÷8)
d) 18: 45 = 2 : 5
1.
2.
3.
6  90km = 540km
760 ÷ 8 km/h = 95 km/h
5 21
4.
Price 1 / Prys 1 = R9,00 ÷ 5 = R1,80
Price 1 / Prys 1 = R6,80 ÷ 4 = R1,70
Cheapest is 4 for R6,80
Goedkoopste is 4 vir R6,80
Gr 7 Supplementary Maths
Prac 60
1.
2.
R23,80
R47,60
348 cm
1044 cm
1392 cm
(348+1044)
Prac 61
1. 3750 g
18 750 g
2. R10,40
(R31,20 ÷ 3)
R7,80
(R31,20 ÷ 4)
R62,40
(R31,20  2)
Prac 62
1.
2.
120km
72km
144km
44km
132km
(5  24km)
(3  24km)
(2  72km)
(156 ÷ 4m)
(3  44km)
Prac 63
1. the base of the power &
the exponent
die grondtal van die mag &
die eksponent
2. 6  6  6
3. 75
4. 53 608
Prac 64
Prac 65
1. 1 + 1 = 2
1. 81
2. 4 + 8 = 12
2. 3
3. 1 + 16 = 17
3. 8
4. 9 - 4 = 5
4. 6
5. 1 + 5 = 6
5. 49
6. 36 + 64 = 100
6. 7
7. 1000+100=1100 7. 27
8. 10 000
8. 3
9. 49 + 70 = 119
9. 5
10. 92 = 81
10. 100+10 = 110
Prac 66
1. 8 + 9 = 17
2. 32 - 25 = 7
3. 36 - 6 = 30
4. 27 - 1 = 26
5. 25 - 9 = 16
25  9  16  4
6.
7. 5  3 = 15
8. 2  2 = 4
9. 372 - 372 = 0
10. 7  10 = 70
Prac 67
1. an obtuse / ‘n stomp hoek
2. 360 ÷ 3 = 120
3. a reflex / ‘n inspringende hoek
4. 90
5. 270
6. 180
7. isosceles / gelykbenige
8. a right-angled / reghoekige
9. a regular hexagon /
‘n reëlmatige heksagoon
10. chord / koord
Prac 68
1.
2.
3.
4.
5.
6.
7.
8.
Gr 7 Aanvullende Wiskunde
3
1
2
1
2
2
D3
5
E6
Prac 69
1.
a) Acute / Skerp
ˆ  50
b) BAC
2.
a) Obtuse / Stomp
ˆ  123
b) PQR
3.
a) Obtuse / Stomp
ˆ  125
b) DEF
4.
a) Acute / Skerp
ˆ  41
b) ABC
5.
a) Obtuse / Stomp
ˆ  141
b) XYZ
30
55
90
90
120
60
20
160
Prac 70
1. AD & BC
2. AD & CD
3. AC or/of AOC
4. OA, OB & OC
5. a chord
6. circumference
7. an arc
8. a sector
9. straight
10. an acute
Prac 71
1.
a) BAD
b) CAD
c) ABC
d) ABC
2.
a) Kite - 1
b) Rectangle - 2
c) Rhombus - 2
d) Trapezium - 0
e) Regular hexagon - 6
/ Vlieër - 1
/ Reghoek - 2
/ Ruit - 2
/ Trapesium - 0
/ Reëlmatige
heksagoon - 6
5 7 9 12
  
5 7 9 12
b)
<
<
>
=
c)
>
>
<
>
d)
=
=
=
<
1.
2.
3.
4.
1
3
2
B3
2
9
1
B3
A-
1
5
1
B2
A-
4
5
b)
c)
1 1 1 1
  
7 5 3 2
2 2 2 2
  
11 9 5 2
3 7 11 7
  
2 4 5 3
6 14 15 12
  
6 7
5
3
1 3 1 5
  
4 8 2 8
2
1
,
7
3
7
20
b) ,
2
11
3
2
c) 1 , 8
5
3
1
d)
3
2
e)
7
a)
2.
a)
<
>
>
<
Prac 73
A-
C-
2.
Prac 72
1
a)
e)
/ ‘n koord
/ omtrek
/ ‘n boog
/ ’n sektor
/ gestrekte
/ skerp
2
3
1
D- 1
9
C-
Prac 74
1.
d)
f) Parallelogram - 0
1.
C- 1
1
6
1
B4
A-
Prac Maths © Copyright Reserved
Prac 75
1. 3
2.
21
3.
15
4.
3
5.
1
7
6.
1
7.
18
8.
56
9.
3
10.
1
3
Prac 76
2
3
3
2. 5
5
5
3. 11
7
4
4. 7
9
5
5. 11
11
1
6. 6
4
5
7. 5
6
5
8. 8
8
5
9. 7
12
5
10. 8
6
1.
4
C-
Gr 7 Supplementary Maths
Prac 77
3 2 5
 
6 6 6
4 3
7
2.
 
12 12 12
5 3
8
3.
 
15 15 15
2 1 3
4.
 
8 8 8
5 2
7
5.
 
10 10 10
7 3 10
6.
 
21 21 21
3 2 1
7.
 
6 6 6
4 3
1
8.
 
12 12 12
9 8
1
9.
 
12 12 12
14 4 10
10.
 
21 21 21
Prac 78
1.
2 1 3
 
4 4 4
2 3 5
2.
 
8 8 8
4 3 7
3.
 
8 8 8
5 4
9
4.
 
20 20 20
5 8 13
5.
 
20 20 20
5 12 17
6.
 
20 20 20
4 3 1
7.
 
6 6 6
5 4
1
8.
 
20 20 20
15 8
7
9.
 
20 20 20
15 12 3
10.
 
20 20 20
Prac 79
1.
1.
2.
3.
4.
5.
5 4
9
 
10 10 10
7 4 11
 
28 28 28
18 5 23
 
30 30 30
9 2 11
 
12 12 12
5 16
1
 1
20 20
20
Gr 7 Aanvullende Wiskunde
10 9
7
 1
12 12
12
6 5
1
7.
 
10 10 10
7 4
3
8.
 
28 28 28
25 18 7
9.
 
30 30 30
20 3 17
10.
 
24 24 24
Prac 80
6.
2 1 3
 
4 4 4
2 1 3
2.
 
8 8 8
10 5 15 5
1
3.
   1
12 12 12 4
4
9 11 20
4.
 
21 21 21
4 9 13
5.
 
15 15 15
5 3 2 1
6.
  
6 6 6 3
14 8
9 1
7.
  
18 18 18 2
20 8 12
8.
 
35 35 35
24 9 15 3
9.
 

50 50 50 10
21 7 14 7
10.
 

36 36 36 18
1.
Prac 81
2 1 3 1
  
6 6 6 2
2 1
3 1
2.
  
18 18 18 6
21 7 28 7
3
3.
 
 1
24 24 24 4
4
40 17 57 19
4
4.
 
 1
45 45 45 15
15
33 7 40 10
1
5.
 
 1
36 36 36 9
9
7 4 3
6.
 
8 8 8
12 7
5 1
7.
  
15 15 15 3
18 9
9
8.
 
26 26 26
22 7 15 1
9.
 

30 30 30 2
22 5 17
10.
 
48 48 48
1.
Prac Maths © Copyright Reserved
Prac 82
Prac 83
4
Prac 84
1
4
1
2.
6
4
3.
9
1
4.
3
3
5.
7
3
6.
5
3
7.
10
3
8.
8
2
9.
3
1
10.
10
Prac 86
1.
1.
4
1.
2
2.
4
2.
2
3.
5
3.
2
4.
8
4.
2
5.
9
5.
2
6.
2
6.
2
7.
3
7.
3
8.
2
1
5
8.
3
9.
3
1
7
5
10. 2
9
9.
4
10. 3
Prac 85
1
9
1
2.
16
1
3.
8
1
4.
12
9
5.
16
16
6.
25
1
7.
4
1
8.
9
2
9.
5
5
10.
11
Prac 87
1.
1.
5 4
 1
4 5
2.
7 3
 1
3 7
3.
16 9 9
2
  1
7 16 7
7
4.
19 5 19
5
  2
5 7 7
7
3
7
5
2.
9
5
3.
9
3
4.
20
2
5.
3
3
6.
4
2
7.
3
1
8. 3
2
1
9. 3
3
4
10.
15
1.
Gr 7 Supplementary Maths
5.
18 5
 6
5 3
6.
17 6 17
2
  3
6 5 5
5
7.
15 21
 9
7 5
8.
9 12 27
2
 
5
4 5
5
5
9.
32 9
 4
9 8
10.
15 20 25
1
 
 12
8 3
2
2
Prac 88
1.
11 36
 9
4 11
2.
5 12
 6
2 5
3.
15 5 75
3
 
9
4 2 8
8
4.
9 7 21
1
  4
5 3 5
5
5.
13 66
  33
2 13
6.
42 10
  28
5 3
7.
100 27
  90
3 10
8.
50 21
  15
7 10
9.
68 13
3
  13
13 5
5
10.
54 25 9
1
  4
25 12 2
2
Prac 89
1.
2.
3.
4.
5.
6.
7.
8.
1+2=3
4-2=2
2 4
 2
3 3
3 2 1
 
4 4 4
10 - 6 = 4
21 - 18 = 3
1
1
6 + =6
2
2
1
3
3  2
4
4
Gr 7 Aanvullende Wiskunde
9.
27 - 3 = 24
1
1
10. 20 + = 20
3
3
Prac 90
1.
20 + 12 = 32
2.
6 + 20 = 26
3.
1 11 15
 
4 16 16
4.
18 - 4 = 14
5.
3
12 = 9
4
6.
5
 16 = 10
8
7.
5
18 = 15
6
8.
3
 36  18
6
9.
7
 60  35
12
5
Prac 95
1.
2.
3.
A - 6,2
A - 0,12
A - 1,39
B - 6,5
B - 0,15
B - 1,41
C - 6,8
C - 0,18
C - 1,44
D - 7,1
Prac 96
1. 0,6 > 0,16 > 0,06 > 0,061
2. 1,432 > 1,423 > 1,324 > 1,234
3. 0,81 > 0,8 > 0,081 > 0,081
4. 3,03 > 0,33 > 0,303 > 0,033
5. 9,876 > 9,867 > 9,786 > 9,678
Prac 97
Prac 98
2
 48  16
10.
6
Prac 91
1.
1. 8
2. 43
3. 275
4. 6
5. 60
6. 320
7. 708
8. 4
9. 57
10. 9430
Prac 99
2.
3.
4.
5.
6.
7.
Prac 100
3780
3783,6
3800
3783,65
67,3
0,75
1,676
50
1,0
6,56
Prac 101
1. 8,61
2. 9,100
3. 0,93
4. 0,334
5. 1,7
6. 10,00
7. 13,000
8. 0,986
9. 0,0787
10. 0,0099
Prac 102
1. 6
2. 38
3. 30
4. 510
5. 1,2
6. 16
7. 30
8. 0,03
9. 0,17
10. 0,92
Prac 103
1. 1,6
2. 3,8
3. 3
4. 51
5. 3,4
6. 66
7. 1440
8. 0,56
9. 1,44
10. 1,35
Prac 104
1. 0,3
2. 0,09
3. 0,007
4. 0,21
5. 0,039
Prac 92
6.
7.
8.
9.
10.
7
1.
10
53
2.
100
53
3.
1000
9
4.
100
231
5.
1000
Prac 93
1
6. 2
100
67
7. 3
1000
3
8. 5
1000
409
9. 8
1000
611
10. 9
1000
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Prac 105
Prac 106
1. >
2. <
3. >
4. <
5. >
Prac 94
1. =
2. <
3. =
4. <
5. =
6.
7.
8.
9.
10.
>
>
>
>
>
6.
7.
8.
9.
10.
<
>
<
=
<
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
7.
8.
1,9
3,03
4,11
5,001
8,041
Prac Maths © Copyright Reserved
0,04
0,004
0,0004
0,83
0,083
0,0083
0,007
0,0007
0,0007
0,0059
1000
16
1
1
9
0,001
0,09
0,027
4
9.
9
16
10.
9
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
0,2
0,3
0,4
0,03
0,05
0,07
0,024
0,039
0,0054
1,192
10 000
32
1
1
81
0,0001
0,25
0,125
4
9.
25
25
10.
16
100
4
1
1
27
0,01
0,04
0,008
1
9.
4
9
10.
4
Prac 107
1.
2.
3.
4.
5.
6.
7.
8.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
7
90
25
20
55
44
22
12,5
37,5
62,5
Gr 7 Supplementary Maths
Prac 108
Prac 111
Prac 112
Prac 113
Prac 114
3
4
1
2.
3
1
3.
8
1
4.
6
1
5.
8
2
6.
3
1
7.
25
2
8.
5
9. 1
5
10.
12
Prac 115
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
1.
36g
1.
36g
2.
63m
2.
R121
3.
R18
3.
60km
4.
41kg
4.
84m
5.
40ℓ
5.
24 ℓ
6.
R9
6.
R15
7.
25kg
7.
30kg
8.
4,5km
8.
R10
9.
66 ℓ
9.
11cm
10. R30
0,325
4800
643
0,046
8210
960
4,208
5820
13,74
4,931
1
12 21 %
8
8
4.
266 23 %
3
2
40%
5.
5
1
6.
2%
50
3
7.
37 21 %
8
3
3%
8.
100
2
9.
66 23 %
3
4
10.
55 57 %
7
Prac 117
1. a) (13 + 15 + 13 + 15)cm = 56cm
b) (13  11 + 9  4)cm2 = 179cm2
2. a) 2,8  1,2cm2 = 3,36 cm2
b) (1,2  1,2)cm2 = 1,44 cm2
(2, 8  1, 2) 2
cm = 1,68 cm2
c)
2
(7  2, 6) 2
3. a)
cm = 9,1 cm2
2
(9, 4  7) 2
b)
cm = 32,9 cm2
2
( 6  8) 2
4. a)
m = 24 m2
2
b) 18  8 m2 = 144 m2
c) (144 - 24)m2 = 120 m2
3.
Prac 109
Prac 110
Gr 7 Aanvullende Wiskunde
10. R36
30 000
60 000
70
700
4,61
0,0809
700
7600
0,0371
4,74
1.
6000
8106
30
1000
1
0,001
2000
7000
0,03
200
2.
1
5
3
5
Prac 120
Prac 118
a) Rectangular prism / Reghoekige prisma
b) Cube / Kubus
c) Cylinder / Silinder
d) Square-based pyramid /
Vierkantige-basis piramide
e) Pentagonal prism / Pentagonale prisma
f) Triangular pyramid / Driehoekige piramide
g) Sphere / Sfeer
h) Cone / Keël
i) Triangular prism / Driehoekige prisma
Prac 121
1. 6 squares / 6 vierkante
2. 2 triangles & 3 rectangles /
2 driehoeke & 3 reghoeke
3. 4 triangles / 4 driehoeke
4. 6  25 cm2 = 150 cm2
5. 4  16 cm3 = 64 cm3
6. 9  4  5 cm3 = 180 cm3
7. 72 ÷ 18 cm = 4cm
8. 40  8,2 cm3 = 328 cm3
Prac 116
1.
Prac 119
20%
60%
Prac Maths © Copyright Reserved
6
Gr 7 Supplementary Maths
Prac 122
1.
11
15
19
23
a) 2n + 5
Gr 7 Aanvullende Wiskunde
7
50
km/h = 25km/h
2
c) 1 21 h
Prac 129
b)
2.
9
11
13
15
b) 2n + 7
d) 1 21 h
e) 10 km/h
Prac 135
Prac 123
1.
2.
3.
4.
5.
6.
7.
5 3
;
8 4
3
3; 3
4
1 1
;
2 8
2 5
1 ;
3 6
1 1
;
4 2
2
1
10 ; 21
3
3
3,84 ; 4,56
8. 5,79 ; 4,8
 1
 
 8
 3
 
 4
 3
 
 8
 5
 
 6
Prac 130
1.
Prac 136
1. x + 6 = 8
2. 6x = 27
3. x2 - 4x = 32
4. x - y < xy
5. 4(x + y) = 3xy
2.
( 2)
( 2)
(+ 0,72)
Prac 131
1.
Prac 137
1. natural / natuurlike
2. whole / telgetalle
3. integers / heelgetalle
4. square / vierkant
5. powers of 2 / magte van 2
(– 0,99)
9. 40,5 ; 121,5 ( 3)
10. 0,25 ; 0,36
(0,5)2 ; (0,6)2
Prac 124
1. x = 48
y=n+6
2. x = 30
y = 2n + 1
3. y = 4n - 1
y = 199
4. y = n2
y = 169
5. y = n2 + 2
y = 38
2.
Prac 125
1. x = 20
y=n-1
2. x = 22
y = 2n - 1
3. x = 8
y = 5n + 2
4. y = n3
y = 343
5. x = 7
y = n(n+1)
Prac 126
1.
2.
3.
4.
5.
T4 = 8, Tn = 2n, T20 = 40
T4 = 9, Tn = 2n+1, T20 = 41
T4 = 12, Tn = 2n+4, T20 = 44
T4 = 20, Tn = 5n, T20 = 100
T4 = 19, Tn = 5n-1, T20 = 99
Prac 127
1. T4 = 16, Tn = n2, T20 = 400
2. T4 = 19, Tn = n2+3, T20 = 403
3. T4 = 64, Tn = n3, T20 = 8000
4. T4 = 63, Tn = n3-1, T20 = 7999
5. T4 = 20, Tn = n(n+1), T20 = 420
Prac 128
Prac 132
1.
2.
1
1
2
5
9
11
12
5
6
3
4
0
1
8
5
12
1
3
Prac 133
1.
2.
1
2
1,3
0,4
2,2
26,2
3,6
0,12
6,1
8,1
Prac 134
1. a) 2
b) 3
c) (7;6) , (4;3) & (7;1)
2. a) 15km
Prac Maths © Copyright Reserved
Prac 138
1. x = 10
2. x = 22
4. x = 32
3. x = 8
5. x = 4
Prac 139
1. 1, 2, 3
2. 0, 1, 2
3. …–1, 0, 1, 2
4. 2 , 3
5. –3, –2, –1, 0, 1, 2
Prac 140
1. 2, 3, 5, 7
2. 8, 9
3. no value / geen waarde
4. –6
5. –3, –2, –1
Prac 141
1. a) >
b) <
c) >
d) >
2. a) –8 ; –6
b) –14; –18
c) 0; –50
Prac 142
1. a) 0 > -10 > -40 > -80
b) -239 > -329 > -392 > -923
c) -478 > -748 > -784 > -847
d) -3456 > -3564 > -3645 > -3654
2. a) -30 ; -15
b) -130 ; -145
c) -50 ; -25
Gr 7 Supplementary Maths
5.
Prac 143
1. -4
2. 0
3. -16
4. -2
5. -7
6. -13
7. 10
8. -14
9. -9
10. 28
Prac 144
1. -8 + 3 - 5 = -10
2. 12 + 7 - 7 = 12
3. 12 - 4 = 8
4. - 4 + 4 = 0
5. 3 + 4 = 7
6. - 8 + 4 = -4
7. - 15 - 15 = -30
8. - 4 - 8 = -12
9. 3 - 4 = -1
10. - 6 - 4 - 12 = -22
Prac 145
Prac 146
1. 9
2. 1
3. -2
4. 4
5. -4
6. 0
7. -2
8. -11
9. -3
10. -2
Prac 147
1. -1 ; 2
(+3)
2. -6 ; -10
4. -10 ; -5
3. -24 ; -48 (2)
5. -23 ; -29 (–6)
Prac 148
1. -10
2. 4
3. -3
4. 6
5. -6
6. 3
7. -1
8. 9
9. -5
10. -2
Prac 149
1. a questionnaire / ‘n vraelys
/ frekwensie
2. frequency
/ steekproef
3. a sample
4. 6
/ grafieke
5. graphs
/ mediaan
6. median
/ 7de
7. 7th
/ modus
8. mode
/ omvang
9. range
/ gemiddeld
10. mean
Prac 150
1. 15
2. 27 (8th score) / (8ste telling)
3. 15 to/tot 37
4. 26
Gr 7 Aanvullende Wiskunde
11
Prac 151
Prac 152
1
 72  18
4
1
ii)
 72  12
6
1
iii)
 72  12
6
1
iv)
 72  24
3
1
v)
 72  6
12
Prac 153
i)
1.
6
2. 13
(–4)
(÷2)
7
5
8 21
13 21
4
13 34
Prac 154
1. a) 116cm
b) 118cm
c) 127 - 115cm = 12cm
d) 720 ÷ 6cm = 120cm
a) 9,6kg
b) (10,4 + 9,6) ÷ 2 = 10kg
c) (12,3 - 9,3) kg = 3kg
d) 63kg ÷ 6 = 10,5kg
Prac 155
2.
1
or/of 50%
2
6 1
2.

18 3
4 2
3.

(2, 3, 5, 7)
10 5
4
1
4.
or/of
(1, 2, 4, 8)
8
2
5. 20%
Prac 156
1. multiple / veelvoud
2. factor / faktor
3. 16
4. 2
5. 8 - 16 + 9 = 1
6. 1000 + 10 = 1010
1.
Prac Maths © Copyright Reserved
7.
9  16  25  5
8. 4 + 2 = 6
9. an odd / onewe
10. negative / negatiewe
Prac 157
1. 4
2. 5
3. area of base / opp. van basis
4. 9
5. 222 cm3 = 8 cm3
6. –5 –25 = –30
7. y = 7 + 2 = 9
8. –2
9. 44 (Tn = 4n + 4)
10. 64 & 125
Prac 158
1. 1236
2. 14
4 2

3.
6 3
1 1
4. 4   4
2 2
5. 10
6. 28
7. 5  13kg = 65kg
8. 3  R18 = R54
9. 2,535
2
 R40 = R16
10.
5
Prac 159
1. 0 + 0,27 = 0,27
2. 8,65  10 = 86,5
32
h = 24min
3.
80
4. 15 : 300 = 1 : 20
5. 2100g = 2,1kg
6. 6
7. 18
3
180= 135
8.
4
4
9.
R42 = R24
7
10. 1 , 2
Prac 160
1. 30
2. 29, 31, 37, 41
3. 1, 2, 4, 7, 14, 28
4. 11, 24
5. 72
6. 24 + 6 + 3 = 33
7. 26, 961
8. 4380g  0,06 = 262,8g
2956
= R1478
9. R
2
10. an isosceles triangle /
‘n gelykbenige driehoek
8
Gr 7 Supplementary Maths
B
Homework or Revision /
Huiswerk of Hersiening
Gr 7 Aanvullende Wiskunde
HW 6
1.
HW 1
1. 80 000
2. 0 ; 1 ; 2
3. 9 ; 18 ; 27 ; 36
4. 5740
5. 246 871 ; 246 873
6. 11 110
7. 300
8. 141 200
9. 47 856
10. 31 206
HW 2
1. 108 + 12 = 120
2. 72 - 42 = 30
3. 30 - 20 = 10
4. 25 + 25 = 50
6. 100 - 84 = 16
5. 100 9 = 900
8. 40
7. 64 + 36 = 100
10. 160 + 240 = 400
9. 150 - 25 = 125
HW 3
1. a) 4123  28
= 4123  7  4 or 4123  4  7
= 28861  4 or 16492  7
= 115444
or 115444
b) 3570 ÷ 15
= 3570 ÷ 5 ÷ 3 or 3570 ÷ 3 ÷ 5
or 1190 ÷ 5
= 714 ÷ 3
= 238
or 238
(n 100)
2. 258 500
258 000
(n 1000)
260 000
(n 10 000)
3. a) 9000
b) 5000
HW 9
1.
70 = 2  5  7
84 = 2  2  3  7
a) HCF/GGF = 2  7 = 14
b) LCM/KGV = 2  5 7 2  3 = 420
2.
2.
a) 18 = 2  3  3
b) 28 = 2  2  7
c) 27 = 3 3  3
d)42 = 2 3  7
HW 7
1.
156 = 2  2  3  13
208 = 2  2 2  2 13
a) HCF/GGF = 2  2 13 = 52
b) LCM/KGV = 2  2  3  13  2  2 = 624
HW 10
a) 1 : 3
c) 8 : 11
b) 1 : 3
d) 2 : 11
f) 5 : 9
e) 2 : 5
g) 3 : 7
i) 8 : 5
h) 9 : 11
3 2
10 9
8 9
:
j) :
l)
:
k)
6 6
6 6
12 12
=8:9
= 3: 2
= 10 : 9
HW 11
1.
HW 4
1. a) 43 963 ; 44 063 ; …
b) 52 057 ; 519 57 ; …
c) 19 741 ; 20 741 ; …
d) 20 346 ; 19 346 ; …
e) 694 781 ; 695 281 ; …
2. a) 4265
b) 4586
HW 5
1. a) 2, 3, 5, 7, 11, 13
b) 1, 2, 3, 4, 6, 8, 12, 24
c) 2 & 3
d) 1, 2, 3, 6, 7, 14, 21, 42
e) 2, 3, 7
2. a) 18
b) 3 & 9
c) number ends in 0 or 5 /
die getal met 0 of 5 eindig
d) last 2 digits divisible by 4 /
laaste 2 syfers deelbaar is deur 4
9
a) 90 = 2  3  3  5
b) 140 = 2  2  5  7
c) 198 = 2  3  3  11
d) 910 = 2  5  7  13
2.
a) 6
b) 9
c) 15
d) 1
e) 1
f) 1
HW 8
1. a) 15:
1 , 3 , 5 , 15
45:
1 , 3 , 5 , 9 , 15 , 45
HCF =
15
b) 42:
1, 2, 3, 6, 7, 14, 21, 42
63:
1, 3, 7, 9, 21, 63
HCF =
21
2.
a) 12
b) 18
c) 28
d) 15
e) 77
f) 26
Prac Maths © Copyright Reserved
2.
a) R42,00
R168,00
c) R24,00
R16,00
HW 12
1.
a) R9,00
R49,00
c) R3,50
R17,50
3
2. a)
8
b) R56,00
R336,00
d) R27,00
R108,00
b) R13,00
R130,00
d) R2,50
R17,50
5
b)
8
Gr 7 Supplementary Maths
HW 13
Gr 7 Aanvullende Wiskunde
HW 18
HW 21
1. a) similar
/ gelyvormige
b) congruent / kongruente
2. i) a & b
ii) c
3. a) x = 90 - 38 = 52
b) Ĉ1 = 100 & x = 80
4
 R154 = R88,00
7
3
T:  R154 = R66,00
7
1. M:
2.
A:
1
 54
6
=9
3.
2
 54
6
= 18
B:
3
 54
6
= 27
A:
148
km/h = 37km/h
4
400
b) Time/Tydsduur =
= 5h
80
c)
i) Distance/Afstand = 110  3 = 330km
ii) Distance/Afstand = 110  4 21 = 495km
10
HW 22
a) Speed/Spoed =
HW 14
1. a) 53
b) 35
c) 84
2. a) 2  2  2
b) 3  3
3.
a) 1 + 3 = 4
b) 8 + 9 = 17
d) 16-4 = 12 e) 32 - 25 =7
g) 4  4 =16 h) 9  8 = 72
j) 16 ÷ 4 = 4 k) 16÷16 = 1
HW 15
1.
a) 15-10 = 5
d) 9 - 1 = 8
2.
a) 5 + 3 = 8
d) 10 - 8 = 2
c) 25
f) 1 - 0 = 1
i) 125
l) 64÷4 =16
b) 30-5 = 25
e) 6 + 4 = 10
c) 28 + 4=32
f) 12 -2 =10
b) 36 - 6 =30
e) 36 = 6
c) 25 = 5
f) 127 = 84
HW 16
1.
a) 2+16 = 18
d) 7
2.
a) 22
c) 23
b) 12+3 = 15
e) 2 3 =6
c) 1 + 4 = 5
f) 2 - 1 = 1
b) 3  5
d) 22  5  72
HW 17
1. a) BC
b) BE
c) an acute
/ skerp
d) an obtuse / stomp
2.
3.
HW 19
a) 180
b) between 270 and 360 /
tussen 270 en 360
a) a protractor / ‘n gradeboog
b) i) 38
ii) 78
iii) 122
HW 20
1.
a)
Scalene obtuse-angled /
Gelyksydig stomphoekig
b)
Scalene right-angled /
Ongelyksydig reghoekig
c)
Scalene acute-angled /
Ongelyksydig skerphoekig
2.
a) Rectangle
b) Parallelogram
c) Kite
d) Rhombus
e) Trapezium
f) Square
3.
a) 2
c) 0
/ Reghoek
/ Parallelogram
/ Vlieër
/ Ruit
/ Trapesium
/ Vierkant
b) 3
d) 5
HW 23
1.
5
a)
7
e) 5
2.
a)
6 3

8 8
3
=
8
HW 24
1.
11
a) 4
b)
5
9
f) 6
1
11
g) 8
6
13
h) 7
b)
7 6

9 9
1
=
9
c)
10 3

12 12
7
=
12
d)
20 14

35 35
6
=
35
b)
d)
c)
17
5
c)
37
7
d)
2.
a)
3
2
3
b) 3
5
6
c) 5
4
9
d) 8
3.
a)
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57
8
11
12
b) 5
1
6
c)
1
2
3
11
Gr 7 Supplementary Maths
HW 25
1.
a) 3
1
e)
4
b) 5
1
f)
20
d) 12
5
h)
42
c) 15
3
g)
14
2.
a)
2
3
b)
HW 26
1.
5
a)
6
4
5
c)
b) 2
HW 27
1. a)
28mm
140mm
4

20
1

5
2.
a) R4,50
i) R13,50
ii) R40,50
iii) R67,50
1
2
2
7
d) 1
c)
5
12
48 min
120 min
4

10
2

5
b) R13,50
i) R4,50
ii) R18,00
iii) R3,60
HW 28
1. a) 1,03 ; 1,12
b) 1,497 ; 1,488
2. a) 7,3
b) 4,3
c) 187
3. a) 0,22
b) 0,28
c) 0,096
d) 0, 3
e) 0, 6
4.
2.
a) 4,43
b) 9,825
c) 3,035
d) 1,755
3.
a) 2,4
e) 0,0006
HW 30
2.
B - 0,04
B - 1,64
30
 100
240
1
= 12
2
36
b) %   100
90
= 40
75
 100
c) % 
375
= 20
2.
a) Incr. amount / Vermeerderde bedrag
= 1,15  R80
= 11,5  R8
= R92,00
b) Decr. mass / Verminderde massa
= 0,4  750kg
= 300kg
a) % 
b) 0,24
f) 0,0040
c) 0,27
g) 0,48
d) 0,027
h) 0,0026
HW 31
1.
a)
11
HW 33
1.
a) 34  2 = 68
b) 130  3 = 390
c) 21,04  3 = 63,12
d) 0,42  4 = 1,68
a) 0,5
b) 0,04
c) 0,009
d) 0,541
0, 846
e)
= 0,423
2
2, 853
f)
= 0,317
9
1.
b)
3. Fraction left / Breukdeel oor
3 1 4
3 2 2
= 1 –      1    
7 2 7
7 7 7
f) 0, 2
a) A - 0,01
b) A - 1,62
Gr 7 Aanvullende Wiskunde
2000
500
7000
40
b)
2.
a)
0,786
51,62
2,46
8,491
HW 32
1.
5000
6000
8000
3000
b)
5,324
1,004
0,653
0,546
c)
20 000
100
4000
1 000 000
c)
0,4819
6,592
2,479
0,9548
3.
a) 3  70kg = 210kg
b) 10% = 30km
Tot. = 300km
HW 34
1. Discount / Afslag = R14,50
1450
 10
%=
145
R 8400
2. SI / ER =
 6, 5  3
100
= R1638,00
3. Loss / Verlies = R735
735
 100  30
%=
2450
4. Profit / Wins = R288
288
 100  40
%=
720
HW 35
1. a)
b)
2
2, 8
3
5
6, 3
3
7
8, 4
6
2.
a) 1st = 5 + 3 = 8 & 10th = 50 + 3 = 53
b)
C - 0,08
C - 1,68
HW 29
1.
2.
a)
1
2
 60 = 30
b)
1
5
 45 = 9
c)
2
3
 27 = 18
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Gr 7 Supplementary Maths
HW 36
1.
a) P = 2  (12 + 8,6) cm
= 2  (20,6) cm
= 41,2 cm
b) ℓ = 40,5 ÷ 5cm = 8,1cm
P = 2  (8,1 + 5) cm
= 26,2 cm
Gr 7 Aanvullende Wiskunde
2.
a)
b)
c)
d)
3.
a)
a) Rectangle / Reghoek
b) Parallelogram
c) Triangle / Driehoek
8n
6n+1
3n
2  n2
HW 43
a) 8 right & 2 down / 8 regs & 2 af
b)
2.
8 6 2
m
2
= 24 m2
6 4 2
m
b) Area =
2
= 12 m2
9 5 2
m
c) Area =
2
= 22 21 m2
12
a) Area =
HW 37
1.
a) ℓ = 5m
Vol = 53 m3 = 125m3
b) Vol = 6  5  3 cm3 = 90cm3
c) Vol = 5  2,4  7 cm3
= 12  7 cm3
= 84cm3
No./Aantal mℓ = 84mℓ
2.
a)
b)
Area = 125 ÷ 5 m2 = 25m2
8  5,4  h = 116,64
h = 116,64 ÷ 8 ÷ 5,4 m = 2,7m
HW 38
1.
a) 6ℓ2
b) 2ℓb + 2ℓh + 2bh or/of 2ℓb + 2(b+ℓ)h
2.
a) S-A / B-Opp.
= 2 [77 5 + 53 + 7 3] cm2
= 2 [35 + 15 + 21] cm2
= 2 (71) cm2
= 142 cm2
b) S-A / B-Opp.
= 2 [5540 + 4020 + 5520] cm2
= 2 [ 2200 + 800 + 1100] cm2
= 2 [4100] cm2
= 8200 cm2
3.
Area of one face / Opp. van een vlak
= 216 ÷ 6 cm2
= 36 cm2
Length / Lengte = 6 cm
b)
HW 40
1.
b) 1
a) 3
d) –5
c) 3
2.
a) x + y + 2
b) 3x – y
3.
The square of t decreased by 1 is equal to p
t kwadraat verminder met 1 is gelyk aan p
4.
a) 12 - 4 + 1 = 9
b) 9 + 27 - 16 = 20
HW 41
1.
a) x + 7 = 13
b) t - 9 = 8
c) 5k = k + 11
2.
a) 9
b) 11
HW 42
1.
A(1 ; 2)
C(3 ; 4)
E(6 ; 5)
2.
c) 4
d) 36
B(3 ; 1)
D(4 ; 3)
F(5 ; 2)
HW 39
1.
a) 19 ; 24
b) 15 ; 8
c) 32 ; 64
d) 9 ; 3
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c)
d)
HW 44
1.
a) -3 ; -2 ; -1 ; 0
b) -13 ; -16 ; -19 ; -22
c) -9 ; -6 ; -3 ; 0
2.
a) -97 < -83 < -79 < -38
b) -614 < -461 < -164 < -146
3.
a) 2
b) 2
c) -261
d) -10
e) -16
f) -301
HW 45
1.
d) -9
c) -4
b) -18
a) -6
h) -7
g) 8
f) -10
e) -6
2.
a) -3
b) +8
3.
d) -8
c) 16
b) 16
a) 8
h) -1
g) -10
f) -8
e) 9
Gr 7 Supplementary Maths
Gr 7 Aanvullende Wiskunde
RHS / RK = - 6 - 2 = -8
x = -1 
LHS / LK = -5
RHS / RK = -5
x = -1
HW 46
a)
b)
HW 51
a)
HW 50
1.
a)
c)
d)
HW 47
1.
a) p
c)
3
b) 2 pt
2
d)
pt
2
b) 16 - 12 = 4
c) 12 12 12 13 13 15 15 16 16 16
d) 14
e) 16
f) (36 + 26 + 30 + 48) ÷ 10 = 14
g)
8
pt
b)
i) 61 - 19 = 42
ii) 37
iii) 507 ÷ 13 = 39
HW 52
a)
2 2
e) p t
2.
a) 2  (t - 7)
b) 6t - t3
c) ct + x
d) p2 - p
3.
a) (x + 3) years / jare
(x - 5) years / jares
b) R5t
HW 48
1.
a) 6 + 1 = 7
b) 4 - 3 = 1
c) 1 - 4 = -3
2.
a) -6
b) -6
c) 2 - 8 = -6
d) -5 - 9 = -14
e) -16 + 4 = -12
f) -5 + 4 = -1
b)
HW 53
1.
4
2

a)
18 19
6 1
b)

18 3
c) 0
2.
3 1
a) 
6 2
3 1
b) 
6 2
4 2
c) 
6 3
3.
a) -1 ; 0 ; -1 ; …
b) … -2 ; -1 ; 0 ; 1
c) -3 ; -2 ; -1
HW 49
1.
c) -4
b) 4
a) -5
g) 0
f) -4
e) -2
2.
a) LHS / LK = -4 + 1 = -3
RHS / RK = -2 -1 = -3
x = -2
b) x = -2 
LHS / LK = -2 - 4 = -6
d) -12
h) -3
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(1 , 3 , 5)
(2 , 3 , 5)
(1 , 2 , 3 , 6)
13
Gr 7 Supplementary Maths
3.
Gr 7 Aanvullende Wiskunde
Measurement / Meting
3
a)
10
2 1

b)
10 5
11. B
1. D
2. C
12. A
3. A
13. D
4. C
14. C
5. A
15. D
6. D
16. B
7. C
17. B
8. B
18. D
9. C
19. A
10. C
20. B
Word Sums / Woordsomme
HW 54
1.
15 3

a)
50 10
42 21

b)
50 25
2.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
26 1

a) P(red/rooi) =
52 2
4
1
b) P(10) = 
52 13
2
1
c) P(B6) =

52 26
D
A
C
B
D
A
C
C
D
B
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
C
D
A
C
B
D
D
B
C
A
C
Multiple Choice Questions/
Meervoudige Keusevrae
Numbers and Operations /
Getalle en Bewerkings
1. C
23.
2. D
24.
3. C
25.
4. C
26.
5. A
27.
6. C
28.
7. A
29.
8. B
30.
9. D
31.
10. C
32.
11. B
33.
12. A
34.
13. D
35.
14. B
36.
15. C
37.
16. D
38.
17. A
39.
18. B
40.
19. D
41.
20. B
42.
21. D
43.
22. C
44.
Space and Shape /
Ruimte en Vorm
1.
2.
3.
4.
5.
6.
7.
C
C
D
C
D
A
B
8.
9.
10.
11.
12.
13.
14.
B
B
D
D
C
B
A
D
B
A
D
D
B
B
C
B
D
C
B
D
A
C
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
B
D
C
D
D
B
B
D
B
B
D
A
A
C
B
A
D
A
D
C
C
D
C
B
B
D
A
B
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14