Mathematics Grade 12 Baseline Assessment January 2026
INSTRUCTIONS AND INFORMATION
1. The question paper consists of 4 questions.
2. Answer ALL questions
3. Clearly show all calculations.
4. An approved calculator (
...
Mathematics Grade 12 Baseline Assessment January 2026
INSTRUCTIONS AND INFORMATION
1. The question paper consists of 4 questions.
2. Answer ALL questions
3. Clearly show all calculations.
4. An approved calculator (non-programmable and non-graphical) may be used, unless
otherwise stated.
5. Number the answers correctly according to the numbering system used in this question
paper.
6. If necessary, answers should be rounded off to TWO decimal places, unless otherwise
stated.
7. It is in your own interest to write legibly and to present your work neatly.
QUESTION 1
1.1 Consider the pattern: 10; 7; 4; 1; . . .
1.1.1 Determine the formula Tn, the general term of the sequence. (2)
1.1.2 Which term in the sequence is equal to –113? (2)
1.2 The sequence 1; 6; 15; 28; . . . is given.
1.2.1 Determine a formula for the nth term of the sequence. (3)
1.2.2 Determine the value of term number 100. (2)
1.3 Calculate the value of x in the quadratic sequence: 1; 5; x; 19; ; . . . (3)
[12]Mathematics Grade 12 Baseline Assessment January 2026
QUESTION 2
2.1 Sketch the graphs for the following functions:
2.1.1 g(x) 2x 5 (2)
2.1.2 h(x) 3x (2)
2.2 Given: k(x) 2x2 2
2.2.1 Sketch the graph of k. (2)
2.2.2 Write down the values of x for which the graph of k is increasing. (1)
2.2.3 Write down the range of k. (1)
2.3 Given: 4
5
3
( )
x
f x
2.3.1 Write down the equations of the asymptotes of f. (2)
2.3.2 Write down the domain of graph f. (2)
2.4 The point P(2; 5) is on the graph of m, write down the new coordinates of P if
2.4.1 m is reflected along the line y = x. (1)
2.4.2 m is shifted 2 units to the right. (1)
[14]
QUESTION 3
3.1 If 5cos A 3 , A (90; 360) , determine the value of tan A. (4)
3.2 Given: sin 31 m . Determine, in terms of m, the value of cos 149 . (3)
3.3 Simplify:
sin(360 )
tan( ) cos(90 )
A
A A
(3)
3.4 Prove that: x
x
x x x 2
2 tan
cos (180 )
tan sin .cos
(3)
3.5 Determine the general solution of 1 2 cos x 0 (3)
[16]
Mathematics Grade 12 Baseline Assessment January 2026
QUESTION 4
A piece of land has the form of a quadrilateral ABCD with AB = 20m, BC = 12m and
CD = 7m. Bˆ 110 and CDˆA 71.
The owner decides to divide the land into two plots by erecting a fence from A to C.
Calculate:
4.1 the length of the fence AC, correct to one decimal place. (3)
4.2 the size of DAˆC correct to two decimal place (3)
4.3 the area of ABC . (2)
[8]
TOTAL: 50
INFORMATION SHEET
a
b b ac
x
2
2 4
y mx c y y1 m(x x1)
2 1
2 1
x x
y y
m
m tan
In ABC:
C
c
B
b
A
a
sin sin sin
a2 b2 c2 2bc.cos A
area ABC ab.sin C
1 2
A
C
B
20 m
12 m
7 m
D
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