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

Grade 12 Technical Mathematics June Paper 1 and Memo: Total:  160 Marks. Contents of the exam paper contains the following details: Factoring and solving quadratic equations Solving linear and non-linear systems of equations Rearranging formulas Calculating inductance in an RCL circuit ...

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  • July 13, 2024
  • 24
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

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  • technical math june paper 1

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  • 12th Grade
  • Mathematics
  • 200
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Gr. 12 Technical Mathematics
Term 2 - 2024
Paper 1
Total:160 marks Time:2 hours


Learner's name: ________________________________ Gr. 12: __________.



Instructions and information:
 This paper consists of five questions, answer all the questions.
 You may use a non-programmable and non-graphing calculator.
 No Tip – Ex may be used
 Show all the steps needed to arrive at the answer.
 Good luck!!

Topics covered in this test:
 Factoring and solving quadratic equations
 Solving linear and non-linear systems of equations
 Rearranging formulas
 Calculating inductance in an RCL circuit
 Conversion between decimal and binary numbers
 Quadratic Functions
 Nature of Roots
 Equal Roots
 Simplification and Logarithms
 Graphs and Functions
 Financial Mathematics
 Calculus
 Polynomial Functions
 Chemical Reaction and Temperature
 Integration


1|Page www.summariessa.co.za Technical Math
Grade 12 June Paper 1

,QUESTION 1

1.1 Solve for x

1.1.1 ( 7−3 x ) (−8−x )=0 (2)

2 1
1.1.2 3 x −4 x = (Correct to two decimal places) (4)
3

1.1.3 −x 2+ 16>0 (3)

1.2 Solve for x and y if:

x− y =1 and x +2 xy + y 2 =9 (6)

1.3 In the diagram below shows an RCL circuit used for voltage magnification. The formula to
determine the resonat frequency ( f ¿ of an RCL circuit is given below.




1
f r=
2 π √ LC
Where:


f r=¿resonant frequency in Hz (hertz)
L=¿ inductance in H (henry)
C = capacitance in F (farad)



1.3.1 Make L the subject if the formula. (3)

1.3.2 Hence, calculatee the numerical value of L if C=0.65 ×10−6 F and
f r=1.59 Hz .
(2)

1.4 Express 24 as a binary number. (1)

1.5 Evaluate 144 ÷ 1102 and leave your answer as a decimal number. (2)

[23]


2|Page www.summariessa.co.za Technical Math
Grade 12 June Paper 1

, QUESTION 2

Given: f ( x )=a x2 −3 x +2

2.1 Determine the value of a if the discriminant of f ( x) is 6. (3)

2.2 Hence, without solving the equation, describe the nature of roots of f (x) (1)

2.3 Determine the numerical value of a for which the roots of f ( x) are equal. (3)

[7]

QUESTION 3

3.1 Simplify the following, without the use of a calculator

0
3.1.1 7(3 x ) (1)

3.1.2 √8 ¿ (3)

n−1 3−2 n
9 × 27
3.1.3 (4)
812−n

3.2 Sove for x : log ( x+2)−log x=1 (4)

3.3 Given the complex number: z=5 – 5 i

3.3.1 Write down the quadrant, in the complex plane, in which z lies. (1)

3.3.1 Express the complex number z in polar form. (4)

3.4 Solve for m and n if m=3 i(2 i – 5)+7 – ∋¿ (4)

[21]

QUESTION 4

4.1 Given the function f and g defined by f ( x )=x 2 + 4 and g ( x )=−2 x+1

4.1.1 Determine the x and y intercepts of f . (3)

4.1.2 Determine the coordinates of the turning point of f (2)



3|Page www.summariessa.co.za Technical Math
Grade 12 June Paper 1

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