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Grade 11 Technical Mathematics (TECH MATH) June Paper 1 and Memo - 2024 $2.81   Add to cart

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Grade 11 Technical Mathematics (TECH MATH) June Paper 1 and Memo - 2024

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Grade 11 Technical Mathematics June Paper 1 and Memo: Total:  100 Marks. Contents of the exam paper contains the following details: Algebra and logarithms Solve equations and applications Function analysis Rational functions Circle and hyperbola This is a practice paper with memorand...

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  • June 16, 2024
  • 12
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers
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Gr. 11
Technical Mathematics – Paper 1
Formal test – Term 2
Total: 100 points Time: 2 hours


Learner's name: _________________________________ Gr. 11: __________.




Instructions and information:


 This paper consists of two questions, answer both questions.
 The use of a calculator is not permitted.
 No Tip – Ex may be used.
 Show all the steps needed to arrive at the answer.
 Strength!!


Content covered in this paper

 Algebra and logarithms
 Solve equations and applications
 Function analysis
 Rational functions
 Circle and hyperbola

, QUESTION 1

1.1 Simplified, the complete WITHOUT the use of a calculator.

0
1.1.1 ( 5 √3 3−x 5 ) (2)

1
1.1.2 x 2 (3−x ) (3)


1.1.3 ( √ 3−3 )( √ 3−3 ) (3)

1 1
5 3
1.1.4 log 2 32 + log 2 27 (6)
0
log 2 6 +¿ log 7 x ¿




x−1 x+1
3 −7.3
1.2 Given: y= x
6.9 x


( )
1
1 −31 x
1.2.1 Prove that y= × (6)
3 9

1.2.2 Next, show that for y ∈real numbers then are x € even numbers. (2)

1.3 Consider binary numbers X =1000002andY =1112

1.3.1 Write X and Y in decimal form. (2)

1.3.2 Next, determine (X - Y) in binary form. (2)

[26]




QUESTION 2

2.1 Solve for x ∈ R, WITHOUT using a calculator:

1
2.1.1 5 = 32 (4)
( x )3

2.1.2 √ x+5−x=3 (6)

2.1.3 log x 3=−1 (3 )

2.1.4 log a (x−8)−¿ log a 24=−log a (x +2) ¿ (7)

2.2 Show that:

2| P a g e www.summariessa.co.za T e c h n i c a l M a t h e m a ti c s
Grade 11 June Paper 1

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