LAST PUSH
MATHS IS MATHS
PAPER 2
GRADE 12
BY: PAT TSHIKANE
, TABLE OF CONTENTS
TOPIC PAGE
PAPER 2
1 STATISTICS 3-8
2 ANALYTICAL GEOMETRY 9 - 16
3 GENERAL TRIGONOMETRY 17 - 22
4 TRIGONOMETRY FUNCTIONS 23 - 29
5 SOLUTION OF TRIANGLES (2Ds & 3Ds) 30 - 37
6 EUCLID’S GEOMETRY 38 - 62
Page | 1
, ACKNOWLEDGEMENTS
I would like to express my gratitude to
Lindiwe Nkutha
&
Rachel Taunyane
who saw me through this document, and to all
those who provided support, talked things over,
read, offered comments and assisted in the editing,
proof reading and design.
PAT TSHIKANE
Email:
Page | 2
, STATISTICS
Five number summary
Box and whisker
Cumulative frequency
Ogive
Scatter plot
QUESTION 1
The data in the table below represents the score in percentage of 12 Mathematics learners in their
Grade 12 trial examination and their corresponding final examination.
Trial Exam 76 64 90 68 70 79 52 64 61 71 84 70
Final Exam 82 69 94 75 80 88 56 81 76 78 90 76
1.1 Represent the information above in a scatter plot
1.2 Determine the equation of the least squares regression line for this set of data
1.3 Hence, predict the final percentage for a learner obtaining 73% in the trial examination.
Give your answer to the nearest percentage
1.4 Calculate the correlation coefficient for the above data
1.5 Do you think by using the least squares regression line one can accurately predict a
learner’s final percentage? Provide Mathematical justification for your answer.
QUESTION 2
The table below shows the total fat (in grams, rounded off to the nearest whole number) and
energy (in kilojoules, rounded off to the nearest 100) of 10 items that are sold at a fast-food
restaurant.
Fat (in 9 14 25 8 12 31 28 14 29 20
grams)
Energy (in 1 100 1 300 2 100 300 1 200 2 400 2 200 1 400 2 600 1 600
kilojoules)
2.1 Represent the information above in a scatter plot
2.2 The equation of the least squares regression line is yˆ 154,60 77,13x
2.2.1 An item at the restaurant contains 18 grams of fat. Calculate the number of
kilojoules of energy that this item will provide. Give your answer rounded off to
the nearest 100kJ
Page | 3
MATHS IS MATHS
PAPER 2
GRADE 12
BY: PAT TSHIKANE
, TABLE OF CONTENTS
TOPIC PAGE
PAPER 2
1 STATISTICS 3-8
2 ANALYTICAL GEOMETRY 9 - 16
3 GENERAL TRIGONOMETRY 17 - 22
4 TRIGONOMETRY FUNCTIONS 23 - 29
5 SOLUTION OF TRIANGLES (2Ds & 3Ds) 30 - 37
6 EUCLID’S GEOMETRY 38 - 62
Page | 1
, ACKNOWLEDGEMENTS
I would like to express my gratitude to
Lindiwe Nkutha
&
Rachel Taunyane
who saw me through this document, and to all
those who provided support, talked things over,
read, offered comments and assisted in the editing,
proof reading and design.
PAT TSHIKANE
Email:
Page | 2
, STATISTICS
Five number summary
Box and whisker
Cumulative frequency
Ogive
Scatter plot
QUESTION 1
The data in the table below represents the score in percentage of 12 Mathematics learners in their
Grade 12 trial examination and their corresponding final examination.
Trial Exam 76 64 90 68 70 79 52 64 61 71 84 70
Final Exam 82 69 94 75 80 88 56 81 76 78 90 76
1.1 Represent the information above in a scatter plot
1.2 Determine the equation of the least squares regression line for this set of data
1.3 Hence, predict the final percentage for a learner obtaining 73% in the trial examination.
Give your answer to the nearest percentage
1.4 Calculate the correlation coefficient for the above data
1.5 Do you think by using the least squares regression line one can accurately predict a
learner’s final percentage? Provide Mathematical justification for your answer.
QUESTION 2
The table below shows the total fat (in grams, rounded off to the nearest whole number) and
energy (in kilojoules, rounded off to the nearest 100) of 10 items that are sold at a fast-food
restaurant.
Fat (in 9 14 25 8 12 31 28 14 29 20
grams)
Energy (in 1 100 1 300 2 100 300 1 200 2 400 2 200 1 400 2 600 1 600
kilojoules)
2.1 Represent the information above in a scatter plot
2.2 The equation of the least squares regression line is yˆ 154,60 77,13x
2.2.1 An item at the restaurant contains 18 grams of fat. Calculate the number of
kilojoules of energy that this item will provide. Give your answer rounded off to
the nearest 100kJ
Page | 3
