Hamburg MSA Math study plan
Hamburg MSA Math · Give each week a clear focus.
8 weeks · About 6 hours per week
Mathematik
Diagnose current level by working a timed mixed set of 20 Aufgaben under realistic conditions and logging every error by type.
Rebuild arithmetic fluency: compute with fractions, negative numbers, powers, and roots without a calculator until error rate drops below 10 percent.
Set up a single error log (spreadsheet or notebook) with columns for topic, error cause, and correction rule.
Schedule fixed weekly study blocks around work and commit them to a calendar.
Your checkpoint
A completed diagnostic protocol with score, an error log containing at least 20 classified entries, and a written 8-week schedule with fixed time blocks.
Mathematik
Master percentage and ratio reasoning, including percentage change, compound growth, and proportional division.
Solve linear equations and inequalities fluently, including rearranging formulas for a target variable.
Translate short word problems into equations and verify answers by substitution.
Practice mental estimation to sanity-check numeric results before finalizing.
Your checkpoint
A one-page formula and method sheet covering percentages, ratios, and linear equations, plus 30 solved practice tasks with at least 90 percent correct.
Mathematik
Factor and expand algebraic expressions, including binomial formulas and simple polynomial division.
Solve quadratic equations by factoring, completing the square, and the quadratic formula.
Interpret functions, domains, and graphs, and read slope and intercept from a linear equation.
Handle exponent and logarithm rules in symbolic manipulation.
Your checkpoint
A set of 25 mixed algebra tasks solved under a 60-minute timer with a written correction for every mistake.
Mathematik
Apply the Pythagorean theorem, similarity, and angle relationships in plane geometry.
Compute areas and volumes of triangles, circles, cylinders, and composite figures.
Use trigonometric ratios (sine, cosine, tangent) in right triangles to find missing sides and angles.
Re-solve every item from the week 1 diagnostic that was marked wrong.
Your checkpoint
A mid-plan checkpoint test of 20 mixed Aufgaben scored and compared against the week 1 diagnostic, with a written delta and a revised list of weak topics.
Mathematik
Read and interpret tables, line and bar charts, and pie charts to answer quantitative questions.
Compute mean, median, mode, range, and standard deviation conceptually and by hand for small data sets.
Evaluate statements about data critically, including misleading axis scales and percentage-of-percentage claims.
Convert units and currencies in multi-step applied problems.
Your checkpoint
A completed statistics and data-interpretation problem set of 25 tasks with a short written justification for each chart-reading answer.
Mathematik
Solve counting problems using the multiplication principle, permutations, and combinations.
Compute simple and compound probabilities, including complementary and conditional cases.
Identify the correct combinatorial tool for a given problem before calculating.
Work sequence and series tasks, including arithmetic and geometric patterns.
Your checkpoint
A reference card of combinatorics and probability rules plus 20 solved tasks, each annotated with the rule chosen and why.
Mathematik
Complete two full timed mock exams under real conditions with no aids.
Reduce average time per task by practicing the fastest valid solution path for each task type.
Triage during the exam: identify and skip time sinks, then return to them with remaining time.
Update the error log after each mock and rank remaining weaknesses by frequency and point cost.
Your checkpoint
Two scored full mock exams with timing data per section and an error log updated with at least 20 new classified entries.
Mathematik
Drill only the top five remaining weak topics identified in week 7 until each reaches 90 percent accuracy.
Re-solve every still-unresolved error-log entry and mark it closed only after a correct re-attempt.
Run one final timed mock and rehearse exam-day logistics, including calculator rules and time allocation.
Consolidate the formula sheet into a single page reviewed daily.
Your checkpoint
A closed error log (every entry resolved or explicitly deprioritized in writing) and a final mock score at or above the target threshold.
Milestones
Week 2: Arithmetic and percentage accuracy at or above 90 percent on a 30-task set completed without a calculator.
Week 4: Mid-plan checkpoint mock improves over the week 1 diagnostic, and all diagnostic errors are re-solved correctly.
Week 6: Combinatorics and probability tasks solved at 80 percent or better, with the rule-choice annotation correct on every item.
Week 7: Both full mocks completed within the time limit, with a documented triage strategy and a ranked weakness list.
Week 8: Final mock at or above target score and a fully resolved error log.