Overall assessment breakdown

Stage 2 Specialist Mathematics follows the same weighting structure as Mathematical Methods:

• five or six Skills and Applications Tasks — 50%
• one mathematical investigation — 20%
• one external examination — 30%

Most schools still use six SATs because the subject contains six official topics, although the current outline permits five.

Skills and Applications Tasks — 50%

SATs are completed under teacher supervision. At the teacher’s discretion, students may use approved electronic technology and one handwritten A4 notes sheet on one side.

A typical six-SAT program follows the official areas:

1. mathematical induction
2. complex numbers and associated polynomial work
3. functions and sketching graphs
4. vectors in three dimensions
5. integration techniques and applications
6. rates of change and differential equations

Some schools separate real polynomials from complex numbers or restructure the functions and vectors assessments, so the exact sequence may vary.

Specialist tests reward technical accuracy, but they also assess reasoning. Students may need to prove a statement, explain a geometric relationship, construct an equation from limited information or combine several techniques. Correct notation and logically connected working are particularly important in induction, complex numbers, vectors and differential equations.

For revision, students should complete unfamiliar questions rather than only repeating textbook templates. Proofs should be practised from a blank page, vector and complex-number diagrams should be drawn accurately, and integration methods should be selected based on structure rather than guesswork. A detailed correction log is essential because small algebraic errors can carry through long solutions.

Mathematical investigation — 20%

The investigation allows students to explore an advanced mathematical idea with minimal teacher direction. Suitable areas may include:

• complex-number transformations or roots of unity
• polynomial patterns and factorisation
• three-dimensional vector geometry
• families of curves or inverse functions
• solids of revolution
• differential-equation models
• numerical or graphical behaviour of a dynamic system

Students must demonstrate a clear strategy, effective use of mathematical representations, accurate calculations and thoughtful interpretation. Conjectures should be tested and, where appropriate, proved or justified.

The report may be written or multimodal and is limited to 12 single-sided A4 pages, excluding permitted bibliography and appendices.

Markers value depth over decoration. A strong report explores a meaningful mathematical relationship, explains the decisions made and acknowledges the limitations of the approach. Graphs or software output should support the argument rather than replace it.

External examination — 30%

The external examination is 130 minutes and covers all six official topics. It contains routine, analytical and interpretative problems, including questions that draw together knowledge from multiple areas. A formula sheet is supplied. Students may bring two unfolded A4 sheets containing four handwritten sides of notes and may use approved electronic technology.

Effective exam preparation requires full timed papers, not isolated chapter questions alone. Students should learn to recognise when a question is becoming too time-consuming, present proofs efficiently and check signs, domains, arguments, constants and vector directions. In Specialist Mathematics, a correct idea can quickly be undermined by incomplete notation or a missing justification, so presentation should be treated as part of the solution.