PrepPals 21-day Mathematics revision checklist



[ ] Day 1: Sets and Function Basics
Review set operations, domain and range. Explain the meaning of a function before solving a short question.

[ ] Day 2: Function Operations and Composition
Practise function operations and composition. Check the domain at each step.

[ ] Day 3: Inverse Functions and Symmetry
Review inverse functions, monotonicity and parity. Use the definitions to test examples.

[ ] Day 4: Linear and Quadratic Functions
Connect formulas with graphs, intercepts and turning points. Revisit rational-function restrictions.

[ ] Day 5: Power and Exponential Functions
Compare domains, graphs and growth. State the conditions before applying rules.

[ ] Day 6: Logarithms and Inequalities
Practise logarithm laws, domain checks and logarithmic inequalities.

[ ] Day 7: Trigonometry Basics
Review radians, the unit circle and standard-angle values. Retry an earlier function question.

[ ] Day 8: Trigonometric Identities
Use basic identities to transform expressions; explain which identity you chose.

[ ] Day 9: Sum, Difference, Double Angle & Half Angle Formulas
Review sum, difference, double-angle and half-angle formulas, then apply them without a formula prompt.

[ ] Day 10: Trigonometric Equations, Inequalities, and Modeling
Check solutions over the stated interval. Connect trigonometric equations and inequalities with a graph or model.

[ ] Day 11: Sequence Basics
Distinguish a term from a sum. Translate a pattern into sequence notation.

[ ] Day 12: Arithmetic Sequences
Practise the general term and sum. Check whether your indexing matches the question.

[ ] Day 13: Geometric Sequences
Practise the general term and sum, including relevant conditions on the ratio.

[ ] Day 14: Sequences and Inequalities
Choose between arithmetic and geometric methods. Revisit an inequality and a function error.

[ ] Day 15: Coordinate Geometry of Lines
Review slopes, line equations, intersections and distances in coordinates.

[ ] Day 16: Coordinate Geometry of Circles
Connect a circle’s equation with its centre and radius. Practise line–circle relationships.

[ ] Day 17: Conic Sections
Review the standard equations and basic properties of ellipses, hyperbolas and parabolas.

[ ] Day 18: Vectors and Complex Numbers
Review vector operations, the dot product and basic complex-number calculations.

[ ] Day 19: Permutations, Combinations, and Probability
Distinguish permutations from combinations and use them in probability questions. Explain your counting choices.

[ ] Day 20: Solid Geometry and Basic Derivatives
Check spatial coordinates, simple solids and basic derivative applications. Revisit weak topics if these need more than one session.

[ ] Day 21: Full Mock Test and Review
Review an earlier full mock, retry selected errors and confirm exam arrangements. Complete your first full attempt before this day.



An even function satisfies f(−x) = f(x); an odd function satisfies f(−x) = −f(x), on a domain symmetric about zero.

Schedule a full mock before Day 21, with time to review it. The 2025 Mathematics format is 48 multiple-choice questions in 60 minutes. Check current official instructions. [1]

https://www.cscapreppals.com/en/blog/csca-21-day-study-plan