Fourth and Fifth Forms Mathematics Syllabus
Computation: See CXC syllabus for details.
Algebra I: Directed numbers, substitution; simplifying algebraic terms; indices; factorization; operations; algebraic fractions; and direct and inverse variations.
Geometry I: Geometrical transformations — translation, reflection and rotation (congruence), and enlargement (similarity). Combination of transformations (including glide reflections). Pythagoras’ Theorem and distance formula.
Trigonometry I: Definitions of sine, cosine and tangent for right-angled triangles, and their use in calculations; the angle of elevation and depression, altitude and bearings. Solve word problems.
Set Theory: See CXC syllabus for details.
Matrices: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)
Christmas Vacation (first week and for CXC students ONLY)
Vectors: See CXC syllabus for details.
Algebra II: Changing the subject of the formula; equations, inequalities, simultaneous equations & word problems; solving quadratic equations; and set builder notation for expressing the solution set of equations.
Geometry II: Constructing angles (30̊, 45̊, 60̊, 75̊, 90̊, 105̊, 120̊, 135̊, 150̊), triangles and quadrilaterals; constructing the perpendicular bisector of a line; constructing a line perpendicular to another line from a point; and constructing parallel lines. Constructing inscribed circles (triangles only).
Trigonometry II (CXC students): Sine and cosine formulae — simple practical applications (including three-dimensional shapes). Trigonometrical formulae for the area of a triangle.
Relations, Functions & Graphs: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)
Statistics and Probability: See CXC syllabus for details.
Measurement: See CXC syllabus for details.
Easter Vacation (For CXC students ONLY)
Earth Geometry: Calculating distances on the surface of the earth along the same lines of longitude or latitude.
Linear Programming: Use linear programming techniques to solve problems involving two variables.
Circle Geometry: Solve problems using theorems related to the properties of a circle.
Vectors: See CXC syllabus for details. (Non-CXC students cover only compulsory topics.)
Number Theory (revision): See CXC syllabus for details
Consumer Arithmetic (revision): See CXC syllabus for details.
Revision: Past examination papers.