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:
Data Handling
Regression and Correlation
Analytical Geometry
Geometry in the Cartesian Plane
Circle Geometry
Trigonometry
Functions and Graphs
Trigonometric Identities and Solutions
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 1
1.1 In a professional development workshop, each participant
was given a similar task to complete. The time taken (in
minutes) by each participant to finish the task is shown in
the table below:
TIME TAKEN (t) NUMBER OF
(IN MINUTES) PARTICIPANTS
2<t ≤6 2
6 < t ≤ 10 10
10 < t ≤ 14 9
14 < t ≤ 18 7
18 < t ≤ 22 8
22 < t ≤ 26 7
26 < t ≤ 30 2
1.1.1 How many children completed the puzzle? (1)
1.1.2 Calculate the estimated mean time taken to complete the (2)
puzzle
1.1.3 Complete the cumulative frequency column in the table (2)
1.1.4 Draw a cumulative frequency graph (ogive) to represent (3)
the data
1.1.5 Use the graph to determine the median time taken to (2)
complete the task
[10
]
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 2
2.1 The following table shows a comparison of athletes'
performance scores in their final competition of 2019 and
their average weekly training scores for the year
ATHELETE 1 2 3 4 5 6 7 8 9 10
TRAINING
99 93 77 74 63 62 63 63 47 37
SCORE
COMPETITIO
94 81 73 65 59 58 55 49 43 31
N SCORE
2.1.1 Determine the equation of the least squares regression line (3)
for the data. (Round off your answer correct to 4 decimal
places.)
2.1.2 Determine the correlation coefficient between the training (1)
score and the competition score.
2.1.3 Comment on the correlation between the training score (1)
and the competition score.
2.1.4 Athlete 11 scored 51% for her training score. Predict the (2)
competition score she should get.
2.1.5 Given that the mean for the competition score is 60,8, (3)
calculate how many athletes were within one deviation of
the mean
[10
]
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:
Data Handling
Regression and Correlation
Analytical Geometry
Geometry in the Cartesian Plane
Circle Geometry
Trigonometry
Functions and Graphs
Trigonometric Identities and Solutions
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 1
1.1 In a professional development workshop, each participant
was given a similar task to complete. The time taken (in
minutes) by each participant to finish the task is shown in
the table below:
TIME TAKEN (t) NUMBER OF
(IN MINUTES) PARTICIPANTS
2<t ≤6 2
6 < t ≤ 10 10
10 < t ≤ 14 9
14 < t ≤ 18 7
18 < t ≤ 22 8
22 < t ≤ 26 7
26 < t ≤ 30 2
1.1.1 How many children completed the puzzle? (1)
1.1.2 Calculate the estimated mean time taken to complete the (2)
puzzle
1.1.3 Complete the cumulative frequency column in the table (2)
1.1.4 Draw a cumulative frequency graph (ogive) to represent (3)
the data
1.1.5 Use the graph to determine the median time taken to (2)
complete the task
[10
]
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
, QUESTION 2
2.1 The following table shows a comparison of athletes'
performance scores in their final competition of 2019 and
their average weekly training scores for the year
ATHELETE 1 2 3 4 5 6 7 8 9 10
TRAINING
99 93 77 74 63 62 63 63 47 37
SCORE
COMPETITIO
94 81 73 65 59 58 55 49 43 31
N SCORE
2.1.1 Determine the equation of the least squares regression line (3)
for the data. (Round off your answer correct to 4 decimal
places.)
2.1.2 Determine the correlation coefficient between the training (1)
score and the competition score.
2.1.3 Comment on the correlation between the training score (1)
and the competition score.
2.1.4 Athlete 11 scored 51% for her training score. Predict the (2)
competition score she should get.
2.1.5 Given that the mean for the competition score is 60,8, (3)
calculate how many athletes were within one deviation of
the mean
[10
]
Bl / Pg www.summariessa.co.za Opsteller / CHR SMI
Author:
Graad / Vak / Datum / Date:
12 MATHEMATICS SEPT 2024
Grade: Subject:
