Grade 12 Mathematics (NSC): Exam Preparation

What you’ll learn
Write the Grade 12 Mathematics Final Exam: Paper 1 and Paper 2 (NSC: CAPS)
Confidently and independently complete any Grade 12 Maths past paper as practice for the final exam
Structure your answers perfectly to achieve full marks in an exam
Solve a wide range of quadratic equations, simultaneous equations and nature of roots problems
Use logarithms to solve a problem and sketch logarithmic graphs
Find the inverse function of a linear, exponential, hyperbolic and parabolic graph
Understand and solve arithmetic, geometric and quadratic number pattern questions
Understand the differences between sequences and series, use the sum to infinity formula, use the sum to n-terms formula
Visualise, manipulate and solve multi-graph questions, where linear, parabolic, hyperbolic and exponential functions are involved
Understand the concept of limits as instantaneous gradient calculators
Differentiate a function using first principles
Differentiate a function using shortcut methods
Find the second derivative of a function and understand its meaning
Find equations of tangents to graphs of functions
Sketch functions and their derivatives, including turning points, points of inflection and points of intersection
Solve practical problems concerning optimisation and rate of change, including calculus of motion
Perform simple and compound interest calculations with any one variable unknown
Calculate future and present value annuities with monthly repayments (loans, investments, etc.)
Calculate growth and decay using investment principles
Differentiate between independent and dependent events, and apply the product rule
Utilise the sum rule for mutually exclusive events (P(A and B) = P(A) + P(B))
Utilise the addition rule for non-mutually exclusive events
Utilise the complementary rule for probability
Use the fundamental counting principle, factorial notation and permutations to solve Grade 12 probability questions
Visualise probability events using tree diagrams, contingency tables and Venn diagrams
Sketch sin, cos and tan graphs, shift them, reflect them and find their points of intersection
Use trigonometric compound angle identities to solve and simplify trigonometric equations
Use trigonometric double angle identities to solve and simplify trigonometric equations
Solve 2D and 3D trigonometric problems, making use of the sin, cos and area rule
Obtain the equation of a circle
Determine the equation of a tangent to a circle
Solve Euclidean geometry questions involving polygons and circles
Prove that two triangles are similar or congruent
Prove the midpoint theorem and its converse
Use and prove the Theorem of Pythagoras
Prove the required circle geometry theorems
Find the least squares regression line for bivariate data
Extrapolate and interpolate data given the least squares regression line
Generate a 5 number summary and box and whisker diagram for a set of data
Identify skewed and symmetric datasets
Comment on the strength of a correlation using the r-squared value

Requirements
Grade 11 Mathematics

Description
This course covers the entire Grade 12 Mathematics syllabus. We help you revise and solidify previous knowledge by providing realistic examples of what you are likely to see in tests and exams. We want to see you succeed and get the highest possible marks in your final exam. We focus on doing past paper questions to prepare you for your final exams. This aims to solve a common error amongst students, who only practise textbook examples before going into their final exams. Other students attempt past papers, which is statistically the best way to improve exam performance, but they struggle to understand the question and memo. By providing a tutorial video for each question and additional insight into each section, we believe that we have created the perfect product for you!We cover all the sections from Paper 1: factorisation and polynomials, sequences and series (geometric, arithmetic, quadratic), functions (hyperbolas, parabolas, exponential, logarithmic, linear, cubic), finance, differentiation and probability. We also cover all the sections from Paper 2: analytical geometry, Euclidean geometry (circles, ratio, proportion), trigonometry (expressions, graphs and 3D shapes) and statistics.   Bonus: Study and exam-writing tips from top students. So let’s work on this together, because your final exam results can unlock countless opportunities for you!

Who this course is for
Students studying Grade 12 Mathematics
Students who want to improve and excel in their Grade 12 Mathematics exams
Students looking for exam-writing skills in Mathematics
Students looking for study skills in Mathematics
Students who want to successfully complete past papers on their own
Adults who want to rewrite their Matric Mathematics exams