Last reviewed Sep 2026 · GetCSCA editors
Syllabus · Mathematics
Required for all majors
Mathematics — full syllabus
Required for ALL majors. Sets & inequalities, functions, geometry & algebra, probability & statistics — about Grade 12 level, tested at ~75s per question. Every chapter below opens its full page — lessons, formulas, practice, timed sets and previous exam questions. Pick a chapter to start.
48Q / 60m
format · ~75s per Q
10
chapters, fully mapped
4
exam modules
52 hr
suggested study time
Sets & Inequalities
15% weight · 2 hr · Easy · 2 topics
Set operations with Venn counting plus linear, quadratic, fractional and absolute-value inequalities.
Functions
35% weight · 20 hr · Hard · 12 topics
Function families (power, exponential, log, trig), sequences and series, and calculus through basic applications.
Functions
Domain and range, monotonicity, parity, and the power, exponential, logarithmic and trigonometric families.
Open full chapter →
Sequences
Arithmetic and geometric sequences and series: general terms, sums, and applied growth problems.
Open full chapter →
Calculus
Limits, derivative rules, and basic applications: tangents, monotonicity, extrema and simple optimization.
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Geometry and Algebra
30% weight · 18 hr · Hard · 9 topics
Coordinate geometry and conics plus vectors, complex numbers and solid geometry.
Geometry
Coordinate geometry: lines, circles, and the conic sections — ellipses, hyperbolas and parabolas.
Open full chapter →
Vectors
Vector coordinates, magnitude, dot product, parallelism/perpendicularity, and basic geometric applications.
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Complex Numbers
The complex plane, modulus and argument, the four operations, conjugates, and quadratic roots.
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Solid Geometry
Space lines and planes, and surface area / volume of prisms, pyramids, cylinders, cones and spheres.
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Probability and Statistics
20% weight · 12 hr · Medium · 2 topics
Counting, classical/conditional probability and independence, plus centers, spread and chart reading.
Probability
Classical probability, counting (permutations/combinations), conditional probability and independence.
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Statistics
Mean, median, mode, variance and standard deviation, plus reading frequency tables and basic charts.
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10 chapters · one system
Pick a chapter and work it fully.
Lessons → practice → timed sets → previous exam questions, then prove it in a full 48Q mock.
Topic taxonomy follows currently published CSCA syllabus info — validate against the official syllabus before publishing. Weights/hours follow the widely-reported third-party outline.