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Final

All You Need for German Math Olympiad

 ​​Curriculum Topics – Grades 5–6

  1. Number Systems and Factors
    - Place value in large numbers and decimals
    - Factors, multiples, prime numbers, composite numbers
    - GCD and LCM
    - Introduction to divisibility rules and number properties
  2. Operations with Whole Numbers and Decimals
    - Efficient calculation strategies (multi-digit operations)
    - Order of operations (PEMDAS/BODMAS)
    - Problem-solving with money, measurement, and time
    - Operations with decimals to hundredths in real-world contexts
  3. Fractions, Percentages, and Ratio
    - Equivalent fractions, comparing and ordering
    - Addition, subtraction, multiplication, and division of fractions
    - Converting between fractions, decimals, and percentages
    - Introduction to simple ratios and part-whole relationships
  4. Patterns, Algebra, and Early Equations
    - Numeric and visual patterns
    - Expressing rules in words and symbols
    - Input/output machines, tables, and function rules
    - Simple one-step equations and balances
  5. Measurement and Geometry
    - Metric measurement and conversions
    - Area and perimeter of rectangles and triangles
    - Volume of cubes and rectangular prisms
    - Angle types and measurement, use of protractors
    - Coordinate plotting in first quadrant
  6. 2D and 3D Geometry
    - Properties of polygons and classification of quadrilaterals
    - Nets of 3D shapes and surface area exploration
    - Line symmetry and rotational symmetry
    - Transformations (translations, reflections)
  7. Data Interpretation and Statistics
    - Collecting, representing, and interpreting data using bar, line, and pie graphs
    - Mean, median, mode, and range
    - Designing and critiquing data presentations
    - Exploring misleading graphs
  8. Probability and Strategic Reasoning
    - Language of chance (certain, likely, unlikely)
    - Experimental vs. theoretical probability
    - Simple events and compound outcomes
    - Probability using spinners, dice, and real-life scenarios
  9. Quantitative and Logical Reasoning
    - Number puzzles and logic grids
    - Balance scale and weigh puzzles
    - Reasoning through clues and constraints
    - Estimating and comparing quantities
  10. Mathematical Modelling and Real-World Maths
    - Multi-step problem solving with real contexts (budgeting, maps, recipes)
    - Working backwards and using estimation
    - Designing fair games or schedules
    - Beginning open-ended investigations (“What if we...?”)