Technical Mathematics (Maths) Grade 12 NSC Paper 1 and Paper 2 Exam Topics and Structure Guide Syllabus On this page contain Technical Mathematics (Maths) Grade 12 Topics and Structure Guide Syllabus for both paper 1 and paper 2,Mathematics is a universal science language that makes use of symbols and notations for describing numerical, geometric and graphical relationships. It is a human activity that involves observing, representing and investigating patterns and qualitative relationships in physical and social phenomena and between mathematical objects themselves. It helps to develop mental processes that enhance logical and critical thinking, accuracy and problem solving that will contribute in decision-making.

DON’T MISS: How to Pass Technical Mathematics Grade 12 NSC With Distinction

Mathematical problem solving enables us to understand the world (physical, social and economic) around us, and, most of all, teaches us to think creatively. The aim of Technical Mathematics is to apply the Science of Mathematics to the Technical field where the emphasis is on APPLICATION and not on abstract ideas.

Grade 12 NSC Technical Mathematics Topics:

1. Algebra:
   • Equations and inequalities
   • Exponents and logarithms
   • Polynomial functions and graphs
   • Rational expressions and equations
   • Sequences and series
2. Geometry:
   • Euclidean geometry
   • Analytical geometry (straight lines, circles, parabolas, etc.)
   • Trigonometry (including trigonometric functions, identities, and applications)
   • Transformation geometry (translations, reflections, rotations, dilations)
3. Calculus:
   • Differentiation (rules of differentiation, applications of derivatives)
   • Integration (techniques of integration, applications of integrals)
   • Differential equations (basic concepts and solution techniques)
4. Probability and Statistics:
   • Probability theory (probability rules, conditional probability, probability distributions)
   • Descriptive statistics (measures of central tendency, dispersion, graphical representation)
   • Inferential statistics (confidence intervals, hypothesis testing)
5. Financial Mathematics:
   • Simple and compound interest
   • Annuities (ordinary and due)
   • Amortization and sinking funds
   • Present and future value calculations

Grade 12 NSC Technical Mathematics Paper Structure Guide:

Paper 1:

• Section A: Multiple Choice Questions (MCQs) covering all topics
• Section B: Short structured questions requiring concise answers, covering various topics
• Section C: Longer, more comprehensive questions covering specific topics in more depth

Paper 2:

• Section A: Consists of questions requiring students to show understanding and application of mathematical concepts and techniques.
• Section B: Typically includes more involved problems that may require students to integrate knowledge from different topics and apply problem-solving strategies.
• Section C: May contain questions involving real-world scenarios or practical applications of mathematical concepts.

Both papers are likely to assess not only students’ procedural skills but also their ability to reason, communicate mathematical ideas effectively, and solve problems in context.