Grade 12 Mathematics (MATH) March Paper and Memo - 2024

GRADE 12 MATHEMATICS MARCH TEST

QUESTION 1
n
T
A quadratic series general term is defined as n = Σ ( 3 k −1 ).
k =0
1.1 Show that T 3=14 (3)

1.2 The quadratic series first 4 terms are 1 ;6 ; 14 ; 25
3 2 1
Show that T n= n + n−1 (4)
2 2

1.3 Calculate T 25 of the series. (2)

1.4 Calculate the first difference T n and T n−1 ifT n=154 . (5)
[14]


QUESTION 2
∞
m−k
Determine the value of m if: Σ 2 =8 (4)
k =0
[4]




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Grade 12 March Paper 1

, QUESTION 3
−3
The sketch below shows the graph of f ( x )= + q. The asymptotes of f intersects at B (−1; y )
x+ p

(
The Point D 5 ; 4
1
2)is a point on the graph.




3.1 Determine the value of p. (1)

3.2 Proof that q=5. (2)

3.3 Calculate the x -intercept of f . (2)

3.4 Determine the equation of the vertical asymptote of h if h ( x )=f ( x +4) (2)

3.5 One of the symmetry axes of f is an increasing function. Determine the equation
of the symmetry axis. (3)

3.6 Give the values x for f ( x ) ≥ x +6 . (2)

3.7 Determine the equation of g, the reflection of f in the x-axis and move two units
to the right. (3)
[15]




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