Grade 12 Mathematics (MATH) June Paper 2 and Memo - 2024

Gr. 11 Mathematics
Term 2 - 2024
Paper 2
Total:150 marks Time:2 hours


Learner's name: ________________________________ Gr. 12: __________.




Instructions and information:


 This paper consists of five questions, answer all the questions.
 You may use a non-programmable and non-graphing calculator.
 No Tip – Ex may be used
 Show all the steps needed to arrive at the answer.
 Good luck!!



Topics covered in this test:

Statistics
Frequency Distribution and Graphs
Analytical Geometry
Circle Geometry
Trigonometric Identities and Equations
Trigonometric Graphs
3D Geometry and Trigonometry in Real-life Contexts
Circle Theorems and Properties
Similarity and Proportionality in Geometry
Congruence and Similarity in Triangles


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Graad 12 Junie Paper 2

,QUESTION 1

The list below shows the number of newspapers sold each day over a 10-day period:

440; 520; 480; 560; 615; 550; 620; 680; 540; 490




1.1 Calculate the mean number of newspapers sold per day. (2)

1.2 Calculate the standard deviation of the number of newspapers sold per day. (1)

1.3 Draw a box and whisker diagram in the ANSWER BOOK using the given number of
newspapers sold. (5)

1.4 Describe the skewness of the distribution of the number of newspapers sold. (2)

1.5 10 different newsagents were surveyed to determine the number of newspapers sold
each day. The mean number of newspapers sold per day at these newsagents was
545.7, with a standard deviation of 28 newspapers.

Which group, the 10-day period or the 10 newsagents, shows greater variability in
the number of newspapers sold? Explain your answer. (3)

[13]




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Graad 12 Junie Paper 2

, QUESTION 2

Chicago, Illinois is considered to be the ‘windy city the USA.

The table below shows the frequency of wind speeds measured at midday at in O'Hare International
Airport (ORD) during the month of January 2024.




Wind Speed (km/hr) Frequency Cumulative
Frequency
10 < x ≤ 12 1 1
12 < x ≤ 14 2 3
14 < x ≤ 16 6
16 < x ≤ 18 4 10
18 < x ≤ 20 7
20 < x ≤ 22 7 24
22 < x ≤ 24 4 28
24 < x ≤ 26 30
26 < x ≤ 28 1



2.1 Complete the table in your answer book. (2)

2.2 Draw an ogive graph on the grid in your answer book. (3)

2.3 Use your graph to determine:

2.3.1 The median wind speed (2)

2.3.2 The number of days the wind speed exceeded 23 km/hr (2)

[9]


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Graad 12 Junie Paper 2