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Grade 12 Technical Mathematics (TECH MATH) September Paper 1 and Memo - 2024 CA$4.22   Add to cart
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Grade 12 Technical Mathematics (TECH MATH) September Paper 1 and Memo - 2024
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  • Course
  • Mathematics
  • Institution
  • 12th Grade

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...

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Document information

  • August 19, 2024
  • 28
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • technical mathematics

Written for

  • 12th Grade
  • Mathematics
  • 200
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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)

1.4 Express 36 as a binary number. (2)

[23]




Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / TECHNICAL Datum / Date:
12 SEPT 2024
Grade: Subject: MATHEMATICS

, QUESTION 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)

2.4 Solve for x and y if:
7+i
x +iy= (5)
2−i

[26]




Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / TECHNICAL Datum / Date:
12 SEPT 2024
Grade: Subject: MATHEMATICS

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