GRADE 9 MEMO
- 1 -
GRADE 9
FINAL ASSESSMENT MEMO
NOVEMBER 2016
TOTAL: 100
1.1
C
1.2 A
1.3 D
1.4 B
1.5 A
1.6 C
1.7 D
1.8 C
1.9 A
1.10 B
[10]
2.1
9 x.3x+1 32x.3x+1 33x+1
=
= =3
27 x
33x
33x
[3] 2.2.1 3
2.2.2 -9
[2]
2.3
4x 2 (5x3 - 3x) - 2x(x4 - x3 )
= 20x5 - 12x3 - 2x5 + 2x4
= 18x5 - 12x3 + 2x 4
[3]
- 2 -
2.4
4x - 6 = x + 8
2
3
3(4x - 6) = 2(x + 8)
12x -18 = 2x + 16
12x - 2x = 18 + 16
10x = 34
x = 3,4
[3] 2.5
a = -b - 2 Substitute : b + 2(-b - 2) = 4 b - 2b - 4 = 4 -b =8 b = -8 a = 6
[4] 2.6.1
2x 2 ( y -1) + (1 - y)
= 2x2 ( y -1) - ( y -1)
= ( y -1)(2x 2 -1)
[3 ] 2.6.2
144x6 - 25y 4
= (12x3 + 5y 2 )(12x3 - 5y 2 )
[2]
2.6.3
1 x2 - x + 3
4
4
= 1 (x 2 - 4x + 3) 4
= 1 (x -1)(x - 3) 4
- 3 -
[3] 2.7
p ? 2p2 +3 - (5p + 6p2 +1)
-4p ? 8p2 + 2
[3]
3.1 20 ; 1
[1]
3.2.1 Add (9) to get the next term
[1]
3.2.2 y = 9x
[2]
3.2.3 135= 9x
15 = x
[2]
3.3
Figure
1
Number of blocks
3
3.4 Pattern number(p) Number (3p - 2)2
-2 -1 64 25
2
3
5
5
7
11
[2]
0
5
10 20
4 169 784 3364
[3]
3.5
- 4 -
[3]
3.6
x + (x + 1) + (x + 2) = 126
3x + 3 = 126
3x = 123
x = 41
The three numbers are 41 , 42 and 43 [3]
3.7
A = P(1 + i.n)
A = R24500(1 + 0,08.5)
A = R34300
Interest = R34300 - R24500 = R9800
[4]
4.1.1
ABO and CDO:
^
^
AB = CD (given) or ( AO B = C O D(opp. ................
................
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