Grade 12 Mathematics (NSC): Exam Preparation
The complete Grade 12 Maths syllabus, with study and exam-writing tips. Learn from South Africa's Top 100 Matriculants.
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What You Will Learn!
- Excel in the Grade 12 Maths Final Exams: Paper 1 and Paper 2
- Prepare for the Maths exams in under a week
- Revise all relevant topics for the final Maths exams
- Confidently 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
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 Should Attend!
- 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