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)
[26]
QUESTION 2
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 2
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)
[26]
QUESTION 2
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 2
