Gr. 11 Mathemats
Term 2 - 2024
Paper 2
Total: 100 marks Time: 2 hours
Learner’s name: ____________________________________ Gr. 10: ___________.
Instructions and information:
This question paper consists of five questions, answer all the questions.
You may use a non – programmable and non – graphical calculator.
No Tip – Ex may be used.
Show all the steps that were required in order to get to the answer.
Good luck!!
Topics covered in this test:
Parallelogram properties, coordinate geometry, trigonometry
Equation of a line
Parallel lines
Trigonometry, trigonometric identities
Trigonometric equations, algebra
Circle properties, theorems
Circle geometry, Pythagorean theorem
Tangents to circles
Angles in circles
1|Page www.summariessa.co.za M a t h e m a ti c s
Grade 11 June Paper 2
, QUESTION 1
In the diagram below A (0 ; 8), B (8 ; 2), C(2 ; -6) and (x ; y) are vertices of a
parallelogram. M is the midpoint of AC. AC ^ B=θ .
1.1.1 Calculate the lengths of AB and BC. (4)
1.1.2 Determine the coordinates of M. (3)
1.1.3 Prove that BM is perpendicular to AC. (4)
1.1.4 Prove that A ^BC=90° (4)
1.1.5 What type of triangle is ∆ ABC ? (2)
1.1.6 Determine the area of ∆ ABC . (2)
1.1.7 Determine the equation of BM in the form of y=mx+c (3)
1.1.8 Calculate the size of angle θ . (4)
1.1.9 Determine the coordinates of D (2)
2|Page www.summariessa.co.za M a t h e m a ti c s
Grade 11 June Paper 2
Term 2 - 2024
Paper 2
Total: 100 marks Time: 2 hours
Learner’s name: ____________________________________ Gr. 10: ___________.
Instructions and information:
This question paper consists of five questions, answer all the questions.
You may use a non – programmable and non – graphical calculator.
No Tip – Ex may be used.
Show all the steps that were required in order to get to the answer.
Good luck!!
Topics covered in this test:
Parallelogram properties, coordinate geometry, trigonometry
Equation of a line
Parallel lines
Trigonometry, trigonometric identities
Trigonometric equations, algebra
Circle properties, theorems
Circle geometry, Pythagorean theorem
Tangents to circles
Angles in circles
1|Page www.summariessa.co.za M a t h e m a ti c s
Grade 11 June Paper 2
, QUESTION 1
In the diagram below A (0 ; 8), B (8 ; 2), C(2 ; -6) and (x ; y) are vertices of a
parallelogram. M is the midpoint of AC. AC ^ B=θ .
1.1.1 Calculate the lengths of AB and BC. (4)
1.1.2 Determine the coordinates of M. (3)
1.1.3 Prove that BM is perpendicular to AC. (4)
1.1.4 Prove that A ^BC=90° (4)
1.1.5 What type of triangle is ∆ ABC ? (2)
1.1.6 Determine the area of ∆ ABC . (2)
1.1.7 Determine the equation of BM in the form of y=mx+c (3)
1.1.8 Calculate the size of angle θ . (4)
1.1.9 Determine the coordinates of D (2)
2|Page www.summariessa.co.za M a t h e m a ti c s
Grade 11 June Paper 2
