Datum / Date: SEPTEMBER 2024
Tyd / Time: 3 hours
Punte / Marks: 150
Graad / 12
Grade:
Vak / Subject: Mathematics
Vraestel 1
/Paper:
Naam en Van / Name and
Surname:
General instructions for the writing of exams:
1. Quickly scan through your entire paper.
2. Read the question twice before you begin.
3. Make sure to answer ALL questions.
4. Write neatly and legibly.
If you struggle too much with a question, move on to the next one and return
5
once you have answered all the other questions.
6. If the question calls for a longer answer, plan before you start writing.
7. For any answer longer than 1-2 words, always write in full sentences.
8. Make sure every point you make refers to the central question.
9. Use correct grammar, spelling, and punctuation to the best of your ability.
If you make a mistake, cross it out clearly with a single, neat line and write
10.
the correct answer instead.
Number the answers correctly according to the numbering system used in
11.
this question paper.
12. Present your answers according to the instructions for each question.
Good luck with your exam!
Topics covered in this paper:
Solving Equations and Inequalities
Sequences and Series
Geometry and Area Calculation
Functions and Graphs
Logarithmic and Exponential Functions
Cubic Functions and Graphs
Financial Mathematics
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, Permutations, Combinations, and Probability
Calculus
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 1: ALGEBRA
1.1 Solve x
1.1.1 x 2−5 x−6=0 (2)
1.1.2 ( 3 x−1 ) ( x−4 )=16 (4)
1.1.3 4 x−x 2 ≥ 0 (3)
22 x −1
1.1.4 =4 (3)
5x +1
1.2 Solve simultaneously for x and y
x +3 y=2 and x 2+ 4 xy −5=0 (5)
1.3 A gift box has dimensions given as a , b∧c . The area of the surface
are 2 √10 ; 3 √ 2∧6 √ 5, as shown in the diagram below:
Calculate, without using a calculator, the volume of the rectangular box.
(5)
[22]
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
Tyd / Time: 3 hours
Punte / Marks: 150
Graad / 12
Grade:
Vak / Subject: Mathematics
Vraestel 1
/Paper:
Naam en Van / Name and
Surname:
General instructions for the writing of exams:
1. Quickly scan through your entire paper.
2. Read the question twice before you begin.
3. Make sure to answer ALL questions.
4. Write neatly and legibly.
If you struggle too much with a question, move on to the next one and return
5
once you have answered all the other questions.
6. If the question calls for a longer answer, plan before you start writing.
7. For any answer longer than 1-2 words, always write in full sentences.
8. Make sure every point you make refers to the central question.
9. Use correct grammar, spelling, and punctuation to the best of your ability.
If you make a mistake, cross it out clearly with a single, neat line and write
10.
the correct answer instead.
Number the answers correctly according to the numbering system used in
11.
this question paper.
12. Present your answers according to the instructions for each question.
Good luck with your exam!
Topics covered in this paper:
Solving Equations and Inequalities
Sequences and Series
Geometry and Area Calculation
Functions and Graphs
Logarithmic and Exponential Functions
Cubic Functions and Graphs
Financial Mathematics
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, Permutations, Combinations, and Probability
Calculus
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 1: ALGEBRA
1.1 Solve x
1.1.1 x 2−5 x−6=0 (2)
1.1.2 ( 3 x−1 ) ( x−4 )=16 (4)
1.1.3 4 x−x 2 ≥ 0 (3)
22 x −1
1.1.4 =4 (3)
5x +1
1.2 Solve simultaneously for x and y
x +3 y=2 and x 2+ 4 xy −5=0 (5)
1.3 A gift box has dimensions given as a , b∧c . The area of the surface
are 2 √10 ; 3 √ 2∧6 √ 5, as shown in the diagram below:
Calculate, without using a calculator, the volume of the rectangular box.
(5)
[22]
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
