Grade 12 Math September Paper 2 and Memo:
Total: 150 Marks.
Contents of the exam paper contains the following details:
Data Handling
Regression and Correlation
Analytical Geometry
Geometry in the Cartesian Plane
Circle Geometry
Trigonometry
Functions and Graphs
Trigonometric Identit...
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:
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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
, 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
]
, 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
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
]
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