NATIONAL SENIOR CERTIFICATE GRADE 11

MARKS: 150

NATIONAL SENIOR CERTIFICATE

GRADE 11

MATHEMATICS P1 EXEMPLAR 2013 MEMORANDUM

This memorandum consists of 13 pages.

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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]

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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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