Grade 12 Technical Mathematics September Paper 1 and Memo:
Total: 150 Marks.
Contents of the exam paper contains the following details:
Algebraic Equations and Inequalities
Calculus
Geometry and Area Calculations
Financial Mathematics
Formulas and Subject Manipulation
Projectile Motio...
Datum / Date: SEPTEMBER 2024
Tyd / Time: 3 hours
Punte / Marks: 150
Graad / 12
Grade:
Vak / Subject: Technical Mathematics
Vraestel 1
/Paper:
Naam en Van / Name and
Surname:
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Topics covered in this paper:
Algebraic Equations and Inequalities • Calculus
Geometry and Area Calculations • Financial Mathematics
Formulas and Subject Manipulation • Projectile Motion
Number Systems • Integration
Logarithms and Exponentials
Complex Numbers
Functions and Graphs
Quadratic Functions
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / TECHNICAL Datum / Date:
12 SEPT 2024
Grade: Subject: MATHEMATICS
, Discriminants and Nature of Roots
QUESTION 1
1.1 Solve for x
1.1.1 −2 x ( x +a ) ( 3− x ) =0 (3)
1.1.2 2 x=6−x2 (4)
1.1.3 5 x ( x−2)≤ 0 (3)
1.2 The total area represented by die building premises given below is
21 units2 . The equation b=2 a=−7 represents the relationship of the
sides of the two squares.
Solve for x and y (dimensions of two squares) if:
y−2 x=−7 x 2+ xy+ y 2=21 (7)
1.3 The formula below represents the moment of inertia (E), with mass (M)
and length (L).
1 2
E= ML
12
1.3.1 Make L the subject of the formula. (2)
1.3.2 Calculate the value of L, if E=8.3 ×10−2 kg . m2 and M =1.6 ×10 3 kg .
(2)
2.1 Simplify the following WITHOUT the use if a calculator. (Show ALL
calculations.)
( )
−1
√ b3
2.1.1 −1 (3)
2
b
2.1.2 log 2 0.125−2 log 5 √ 5+log 4 1 (4)
2.1.3 ( √ 3− √ 2 )2 (2)
2.2 Solve for x
1
2.2.1 log x 125+ log 4 64−log 3 = log 2 128 (4)
3
2.2.2 21−2 x −243=0 (3)
2.3 The current in amps, A, of an alternating current (AC) circuit is given by:
4.5 ∟30 ° A .WITHOUT using a calculator, express the given current in
rectangular form.
(5)
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