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Technical Mathematics Grade 12 Exam Guidelines Scope 2026

Technical Mathematics Grade 12 Exam Guidelines and Scope for 2026: To excel in the Technical Mathematics Grade 12 final exams in 2026, learners must master the integration of algebraic theory with practical engineering applications. While the official 2026 National Senior Certificate (NSC) exam timetable is yet to be released by the Department of Basic Education (DBE), the Exam Guidelines provide the definitive scope for your revision.

The assessment remains structured into two papers, each designed to test specific technical and spatial reasoning skills. Consistent practice with complex numbers, integration, and angular movement is essential for achieving a top-tier result.


Download Technical Mathematics Grade 12 Exam Guidelines (PDF)

Access the official guidelines to align your study sessions with the 2026 requirements:

For more support, including PAT (Practical Assessment Task) guidance and past papers, visit the My Courses homepage or explore our Grade 12 Study Resources hub.


Paper 1 – Algebra, Functions, Calculus, and Finance

Duration: 3 Hours | Total Marks: 150

Paper 1 focuses on numerical systems, algebraic manipulation, and the calculus used to solve technical problems.

Topics and Weighting:

  • Number Systems (±10%): Binary numbers (basic operations) and Complex Numbers ($z = a + bi$). You must be able to represent these on an Argand diagram.
  • Algebra (±50%): Equations, inequalities, surds, logarithms, and the remainder/factor theorem for polynomials.
  • Functions and Graphs (±35%): Linear, quadratic, hyperbola, exponential, and circle/semi-circle graphs. Focus on transformations and finding equations from critical points.
  • Finance, Growth, and Decay (±15%): Simple and compound interest, depreciation (straight-line and reducing balance), and nominal vs. effective interest rates.
  • Differential Calculus and Integration (±50%): Finding derivatives using first principles and rules, and applying integration to calculate the area under a curve.

Paper 2 – Geometry, Trigonometry, and Mensuration

Duration: 3 Hours | Total Marks: 150

Paper 2 tests spatial reasoning, geometric proofs, and measurement skills vital for engineering and design.

Topics and Weighting:

  • Analytical Geometry (±25%): Distance, midpoint, gradient, and the equation of a circle. Includes the plotting of ellipses.
  • Euclidean Geometry (±40%): Circle geometry theorems and proofs involving similarity and proportionality.
  • Trigonometry (±50%): Identities, reduction formulae, and solving triangles using sine, cosine, and area rules in 2D and 3D.
  • Mensuration, Circles, and Angular Movement (±35%): Volumes and surface areas of solids, radian conversions, arc length, sector area, and angular velocity.

Conclusion: Strategy for 2026 Success

The Technical Mathematics Grade 12 Exam Guidelines for 2026 emphasize that learners must not only memorize formulas but understand their technical application. To secure a Level 7, ensure you:

  1. Practice Binary & Complex Numbers: These are often “easy marks” but require precise steps.
  2. Master Euclidean Geometry Reasons: Markers use a strict list of acceptable reasons; learn them exactly.
  3. Use Your Formula Sheet: Know where every formula is located so you don’t waste time during the 3-hour session.

For updated study guides and the latest 2026 matric results information, keep visiting My Courses.

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