Maths SEC (Level 3-3)

Entry Requirements

Applicants need to have either successfully completed the Maths MQF 2 course or sit for a level check to determine the appropriate course level

Duration

30 week course of 3 contact hours weekly

Learning outcomes

Expected learning outcomes for this course include:

Knowledge

Understand advanced number concepts including standard form, indices, roots, surds, and proportional reasoning.
Master algebraic techniques: simplification, factorisation, expansion, rearranging formulae, and solving equations (linear, simultaneous, and quadratic).
Understand function notation and graphical representation of linear, quadratic, and other non-linear functions.
Have in-depth knowledge of geometry: congruence, similarity, Pythagoras’ Theorem, circle theorems, loci, and constructions.
Understand trigonometry including sine, cosine, tangent ratios, and their use in problem-solving in both 2D and 3D.
Understand statistical measures (mean, median, mode, range), cumulative frequency, box plots, histograms, and probability distributions.

Skills

Apply arithmetic, algebraic, geometric, and graphical methods to complex problem-solving tasks.
Solve equations and inequalities, including those involving brackets, fractions, or quadratics.
Interpret and draw graphs of various functions, including real-life applications (e.g. speed-time, distance-time).
Use accurate constructions and apply circle theorems to geometric proofs.
Apply trigonometry and Pythagoras’ Theorem in multi-step 2D and 3D problems.
Represent data accurately, interpret diagrams, and calculate probabilities involving two-way tables, tree diagrams, and Venn diagrams.
Analyse and compare sets of data using statistical measures and graphs.

Competences

Tackle unfamiliar mathematical problems systematically and independently.
Transfer knowledge across different mathematical domains (e.g. linking algebra and geometry).
Communicate mathematical arguments clearly using formal language, structured reasoning, and correct notation.
Use digital tools (e.g. scientific calculators, spreadsheets) responsibly to support efficiency and accuracy.
Apply mathematics confidently in real-life and abstract scenarios, such as financial planning, scale drawing, or statistical interpretation.
Reflect critically on methods used, justify approaches, and evaluate solutions for reasonableness and effectiveness.

Delivery method

Online lessons.

Certification/Award

Certificate issued by MATSEC.

Progression to further education

After successfully completing this course, learners may continue studying the subject at post-secondary level, such as Intermediate level, or pursue related pathways at tertiary level, including through alternative entry routes such as the maturity clause.

Additional note

This is a revision course for learners sitting for the MATSEC SEC Level examination in Mathematics Level 3-3*. The educator is therefore not required to deliver the entire syllabus issued by MATSEC. The full syllabus can be seen here: https://www.um.edu.mt/media/um/docs/directorates/matsec/syllabi/2026/sec/Syllabus20-20SEC202320Mathematics202026.pdf

Exam

Language of instruction

Bilingual