NATIONAL SENIOR CERTIFICATE GRADE 11
MARKS: 150
NATIONAL SENIOR CERTIFICATE
GRADE 11
MATHEMATICS P1 EXEMPLAR 2013 MEMORANDUM
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Mathematics/PI
2 NSC ? Grade 11 Exemplar ? Memorandum
DBE/2013
QUESTION 1
1.1.1
(2x -1)(x + 5) = 0 x = 1 OR x = -5
2
1.1.2 2x2 - 4x +1 = 0
- (- 4)? (- 4)2 - 4(2)(1)
x=
2(2)
x= 4? 8 4
4? 4.2 x=
4
4?2 2 x=
4
2(2 ? 2)
x= 4
x= 2? 2 2
1.2.1
2
125 3
( )2
= 53 3 = 52 = 25
( )( ) 1.2.2
3 2 -12 2 2 +1
= 6. 2 + 3 2 - 24 2 -12
= -21 2
1.3.1 3x - 9 = 0
3x = 9
x=3
1.3.2
x2 - 3x
x -
- 9
6
=
(x
- 3)(x - 3(x - 3)
2)
= x-2 3
answers (2)
substitution into correct formula
answers (3)
53
answer (accept 25 or 52) (2)
6.2 + 3 2 - 24 2 -12 answer
(3) 3x - 9 = 0 answer
(2)
(x - 3)(x - 2) 3(x - 3)
answer (3)
[15]
Copyright reserved
Mathematics/PI
3 NSC ? Grade 11 Exemplar ? Memorandum
DBE/2013
QUESTION 2
2.1.1 (x + 2)(x - 3) < -3x + 2
x2 - x - 6 + 3x - 2 < 0 x2 + 2x -8 < 0
(x + 4)(x - 2) < 0
+ 0 - 0 + or
?4
2
?4
2
2.1.2 2.2.1
-4 ................
................
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