Grade 11 Technical Mathematics (TECH MATH) June Paper 2 and Memo - 2024

Gr. 11
Technical Mathematics – Paper 2
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.
 Good luck!!


Content covered in this paper

 Coordinates of points
 Gradients of lines
 Angles in geometric figures
 Lengths of line segments
 Equations of lines
 Circle geometry
 Proofs in geometry




QUESTION 1

, In the diagram below id M, T(-1 ; 7), N ( a ; b )and P, (4 ; 3) the vertices of a trapezoid MTNP with
TNIIMP. Q (1 ; 1) is the center of MP. PK is the vertical line with S ^
P K =θ . The comparison of NP is
y=−3 x +15




1.1 Write down the coordinates of K. (2)

1.2 Determine the coordinates of M. (6)

1.3 Determine the gradient of PM. (3)

1.4 Calculate the size of θ (5)

1.5 In order, or otherwise, determine the lengths of PS. (3)

1.6 Determine the coordinates of N. (7)

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QUESTION 2



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Grade 11 June Paper 2