Module 1
Module 1: Mathematics
A B1 B2 B2L B3
Commission Implementing Regulation (EU) 2023/989 amending Regulation (EU) No 1321/2014, Annex III (Part-66), Appendix I 12 June 2024
Knowledge Level Overview
| Section | Topic | A | B1 | B2 | B2L | B3 |
|---|---|---|---|---|---|---|
| 1.1 | Arithmetic | 1 | 2 | 2 | 2 | 2 |
| 1.2(a) | Algebra — Simple Algebraic Expressions | 1 | 2 | 2 | 2 | 2 |
| 1.2(b) | Algebra — Equations | — | 1 | 1 | 1 | 1 |
| 1.3(a) | Geometry — Simple Geometrical Constructions | — | 1 | 1 | 1 | 1 |
| 1.3(b) | Geometry — Graphical Representation | 2 | 2 | 2 | 2 | 2 |
| 1.3(c) | Geometry — Trigonometry | — | 2 | 2 | 2 | 2 |
Knowledge levels: 1 = basic familiarisation, 2 = general knowledge, 3 = detailed knowledge.
1 Basic familiarisation
2 General knowledge
3 Detailed knowledge
Examination
| Category | Questions | Duration |
|---|---|---|
| A | 16 | 20 min |
| B1 | 32 | 40 min |
| B2 | 32 | 40 min |
| B2L | 32 | 40 min |
| B3 | 32 | 40 min |
Detailed Syllabus
1.1Arithmetic
- Arithmetical terms and signs
- Methods of multiplication and division
- Fractions and decimals
- Factors and multiples
- Weights, measures and conversion factors
- Ratio and proportion
- Averages and percentages
- Areas and volumes
- Squares, cubes, square and cube roots
- Power and root
1.2Algebra
1.2(a)Simple Algebraic Expressions
- Evaluating simple algebraic expressions: addition, subtraction, multiplication and division
- Use of brackets
- Simple algebraic fractions
1.2(b)Equations (B1/B2/B2L/B3 only)
- Linear equations and their solutions
- Simultaneous equations and second degree equations with one unknown
- Indices and powers, negative and fractional indices
- Binary and other applicable numbering systems
- Logarithms: common and natural logarithms, antilogarithms
1.3Geometry
1.3(a)Simple Geometrical Constructions (B1/B2/B2L/B3 only)
- Use and understanding of common geometrical terms
- Simple geometric constructions
- Properties of common geometric shapes: triangles, rectangles, circles, polygons
1.3(b)Graphical Representation
- Nature and uses of graphs
- Plotting graphs of equations and functions
- Graphical representation of equations: the function y = mx + c
- Reading values from graphs: interpolation and extrapolation
- Rectangular and polar coordinates
1.3(c)Trigonometry (B1/B2/B2L/B3 only)
- Trigonometrical relationships: sine, cosine, tangent
- Use of tables and rectangular and polar coordinates
- Pythagoras' theorem
- Application of trigonometric functions to practical problems