Downloaded from Stanmorephysics.com
NATIONAL
SENIOR CERTIFICATE
GRADE 11
NOVEMBER 2022
MATHEMATICS P1
MARKS: 150
TIME: 3 hours
This question paper consists of 8 pages.
,2 Downloaded from Stanmorephysics.com
MATHEMATICS P1 (EC/NOVEMBER 2022)
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1. This question paper consists of TEN questions. Answer ALL the questions.
2. Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in
determining your answers.
3. You may use an approved scientific calculator (non-programmable and non-
graphical), unless stated otherwise.
4. Answers only will not necessarily be awarded full marks.
5. If necessary, round off answers to TWO decimal places, unless stated otherwise.
6. Diagrams are NOT necessarily drawn to scale.
7. Number the answers correctly according to the numbering system used in this
question paper.
8. Write neatly and legibly.
Copyright reserved Please turn over
, Downloaded from Stanmorephysics.com
(EC/NOVEMBER 2022) MATHEMATICS P1 3
QUESTION 1
1.1 Solve for x:
1.1.1 x 2 + 5x − 6 = 0 (3)
1.1.2 5x2 + x − 3 = 0 (correct to 2 decimal places) (3)
1.1.3 (2x −1)( x + 3) −3 (5)
1.1.4 x − x −5 =1 (4)
1.2 Solve for x and y simultaneously if:
2x − y = 1 and y 2 − xy = x + 7 (6)
1.3 The diagram below shows a circle with centre O, that passes through the vertices of
∆ABC.
AB is the diameter, AC = ( x + 3)units and BC = (5 − x)units.
Calculate the value of x that will make AB, the diameter, a minimum length. (5)
[26]
Copyright reserved Please turn over
NATIONAL
SENIOR CERTIFICATE
GRADE 11
NOVEMBER 2022
MATHEMATICS P1
MARKS: 150
TIME: 3 hours
This question paper consists of 8 pages.
,2 Downloaded from Stanmorephysics.com
MATHEMATICS P1 (EC/NOVEMBER 2022)
INSTRUCTIONS AND INFORMATION
Read the following instructions carefully before answering the questions.
1. This question paper consists of TEN questions. Answer ALL the questions.
2. Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in
determining your answers.
3. You may use an approved scientific calculator (non-programmable and non-
graphical), unless stated otherwise.
4. Answers only will not necessarily be awarded full marks.
5. If necessary, round off answers to TWO decimal places, unless stated otherwise.
6. Diagrams are NOT necessarily drawn to scale.
7. Number the answers correctly according to the numbering system used in this
question paper.
8. Write neatly and legibly.
Copyright reserved Please turn over
, Downloaded from Stanmorephysics.com
(EC/NOVEMBER 2022) MATHEMATICS P1 3
QUESTION 1
1.1 Solve for x:
1.1.1 x 2 + 5x − 6 = 0 (3)
1.1.2 5x2 + x − 3 = 0 (correct to 2 decimal places) (3)
1.1.3 (2x −1)( x + 3) −3 (5)
1.1.4 x − x −5 =1 (4)
1.2 Solve for x and y simultaneously if:
2x − y = 1 and y 2 − xy = x + 7 (6)
1.3 The diagram below shows a circle with centre O, that passes through the vertices of
∆ABC.
AB is the diameter, AC = ( x + 3)units and BC = (5 − x)units.
Calculate the value of x that will make AB, the diameter, a minimum length. (5)
[26]
Copyright reserved Please turn over
