A breakdown of the CSEC Additional Mathematics exam format, weighting, and syllabus structure.

Polynomial operations, long division, the Remainder Theorem, the Factor Theorem, and finding unknown coefficients in polynomials.

Completing the square, vertex form, maximum and minimum values, the discriminant and nature of roots, sum and product of roots, equations reducible to quadratic, and simultaneous equations.

Solving quadratic inequalities and rational inequalities with linear factors using algebraic and graphical methods, with set-builder and interval notation.

Simplifying and rationalising surds, laws of indices, laws of logarithms, solving exponential and logarithmic equations, and linearising relationships using logarithms.

Arithmetic and geometric sequences, nth-term formulas, sums of finite series, convergence and divergence, sum to infinity, and real-world applications including compound interest.

Straight-line equations, gradient relationships for parallel and perpendicular lines, midpoint and distance formulas, circle equations in standard and general form, and tangents and normals to circles.

Vector notation, addition, subtraction and scalar multiplication, magnitude, unit vectors, displacement vectors, the scalar product, angle between vectors, and parallel and perpendicular vectors.

Radians, arc length, sector area, exact values, the Pythagorean identity, compound-angle and double-angle formulas, proving identities, and solving trigonometric equations in [0, 2π].

The derivative as gradient and rate of change, the power rule, chain rule, product rule, quotient rule, derivatives of sin and cos, tangents and normals, stationary points, and kinematics applications.