Grade 12 Technical Mathematics (TECH MATH) June Paper 1 and Memo - 2024
26 views 0 purchase
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
...
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
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller SummariesSA. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.84. You're not tied to anything after your purchase.
