How to Prepare for Abitur Math: A 12-Week Study Plan

Ask students in different Bundesländer about the Abitur math exam and you will hear that everything depends on the state. That was mostly true a decade ago. It is much less true now. Since 2017 the states have drawn on a shared pool of exam tasks maintained by the IQB, since 2023 at least half of the written tasks in mathematics must come from that pool, and since 2025 every state runs the same two-part exam rhythm: an aids-free part handed in during the first 100 to 110 minutes, then the rest of the paper with your calculator.

So while your neighbour state may allow a different calculator or add selection time, the mathematical skeleton you are preparing for is common. This guide covers that skeleton: what the paper looks like, where the points sit, how the aids-free part changes your training, and how to divide twelve weeks so that analysis, geometry, and stochastics are all solid on exam day.

One Abitur, Sixteen States, One Shared Skeleton

The common Abitur task pools exist so that an Abitur in Kiel and an Abitur in Munich test comparable mathematics. For the written math exam, the states have committed to taking at least 50 percent of their tasks from the pool, and pool tasks are used unchanged.

The pool's structure document defines the format that state papers are built around. The exam has two parts. Prüfungsteil A consists of several short, independent tasks completed without any aids: no calculator, no formula collection. Prüfungsteil B contains longer, connected multi-part problems where your permitted aids are allowed. Both parts include tasks from all three subject areas: Analysis, Analytische Geometrie/Lineare Algebra, and Stochastik.

Your own state layers details on top: which calculator variant applies, whether you get a choice among Part B tasks, exact timing adjustments. Those details matter for practice logistics, but they do not change what you need to be able to do.

What the Paper Looks Like

The numbers differ by course level. At the advanced level (erhöhtes Anforderungsniveau, the Leistungskurs track), the paper is worth 100 credit points, called Bewertungseinheiten or BE. At the basic level (grundlegendes Anforderungsniveau) it is worth 80.

	Prüfungsteil A (no aids)	Prüfungsteil B (aids allowed)	Total time
Advanced (eA)	30 BE	70 BE: Analysis 30, Stochastik 20, Geometry/Linear Algebra 20	300 min
Basic (gA)	25 BE	55 BE: Analysis 25, Stochastik 15, Geometry/Linear Algebra 15	255 min

Two structural points deserve attention.

First, the hand-in rule. Both parts are on your desk from the start, and you decide when to hand in Part A and receive your aids, as long as it happens within the first 110 minutes at advanced level or 100 minutes at basic level. That is a genuine strategic decision, and you should rehearse it rather than improvise it.

Second, Part A contains a choice. Alongside compulsory short tasks, you are offered harder tasks reaching the top competence range, from which you select a fixed number. At advanced level you pick two out of six, spread across the three subject areas. Decide before the exam which subject areas you want to pick from when the choice appears, based on where you are strongest.

Where the Points Actually Are

Analysis is roughly half the exam. At advanced level it takes 30 of the 70 Part B points, plus the largest share of Part A. Function families, derivatives, tangents, extrema, curve analysis, the exponential function, antiderivatives, integrals, and applied models built on all of these. If your derivative rules are shaky, start with the derivatives guide before touching past papers; if you can compute integrals but have lost track of what they mean, the integrals guide rebuilds the picture.

Stochastics is the second pillar. Probability trees, conditional probability, random variables, and above all the binomial distribution; advanced level adds the normal distribution and hypothesis testing. These tasks are word-problem heavy: the mathematics is often routine once the model is named, and most lost points come from never writing the model down. The probability guide covers the intuitions that make those translations reliable.

Analytic geometry or linear algebra completes the paper. Most states test geometry in space: vectors, lines, planes, intersections, angles, and distances. A smaller set of tasks and states uses matrices and linear processes. This block rewards a compact toolbox used fluently, and it is where diagram-free algebraic confidence pays off most.

Train the Aids-Free Part as Its Own Discipline

Part A is not a smaller version of Part B. It tests whether the standard repertoire runs by hand: derivative and integral rules, powers and logarithms, solving simple equations exactly, vector arithmetic, reading a graph, basic probability values. There is no calculator to lean on and no formula collection to browse.

The training consequence: some part of every study session should happen with the calculator physically out of reach. Ten to fifteen minutes of mixed hand drills per day across weeks 9 and 10 does more for Part A than a weekend binge, because these are fluency skills and fluency decays. If you already use spaced repetition for math practice, Part A skills are exactly the kind of material it holds in place.

Rehearse the hand-in decision too. A good default: finish Part A in clearly under the limit, spend five minutes checking, hand it in, and bank the remaining time for Part B. Staying at the boundary until the last permitted minute usually means Part B gets squeezed.

Know Your Calculator Variant Before You Practice

Since 2026 the shared pool provides Part B tasks in two technology variants: for a plain scientific calculator (WTR) and for CAS/MMS systems. Task sets for graphing calculators (GTR) are no longer produced, which is why several states have adjusted their rules; North Rhine-Westphalia, for example, re-admitted the simple WTR from 2026, while Lower Saxony is moving new cohorts onto CAS.

For you this reduces to three rules. Confirm which variant your Bundesland and school use for your exam year. Practice on the exact device you will carry into the exam, in the exam configuration, from week 1. And when you download past papers, take the version for your variant: the B tasks differ between WTR and CAS versions, and drilling the wrong one trains slightly wrong habits, especially about which steps must be documented by hand.

Grading Rewards Complete Reasoning

Your BE total converts to the final mark of 0 to 15 Notenpunkte through a percentage grid: 45 percent of the points earns 5 Notenpunkte, a solid pass, and 95 percent is needed for the full 15. Two consequences follow.

First, points are points wherever they come from. The grid looks only at your total, so an accessible sub-question in stochastics is worth exactly as much effort as a prestige question at the end of an analysis problem. Bank the accessible marks first.

Second, the marking schemes award BE for justified steps, not just final answers. A variation table without the sign argument behind it, or a claimed intersection point without the system that produced it, leaves points on the table. Write short, complete chains: name the tool, show the step, state the conclusion in the language of the question. In multi-part problems, later parts often let you use stated results from earlier parts, so attempt every sub-question even when a previous one failed.

Diagnose Before You Plan

Before starting the plan, sit one complete past paper from your own Bundesland, cold, under real conditions, with your calculator variant and the official timing. The score matters less than the error map. Sort every lost point into one of five bins: concept gaps, method gaps, execution errors, missing justification, and time problems.

The bins demand different medicine. Concept gaps need explanation and simple examples. Method gaps need worked examples followed by independent reproduction. Execution errors need slower, checked practice. Justification gaps need model solutions studied for their structure. Time problems need timed mixed sets, and only after the mathematics itself is secure. Taking more and more full papers treats none of these; full papers reveal weaknesses, focused sessions repair them.

The 12-Week Study Plan

Five two-week blocks, then two weeks of papers. In every session, reserve the final ten minutes for a short mixed set from earlier blocks so nothing decays.

Weeks 1 and 2: functions and derivatives. Function families and transformations, derivative rules, tangents and normals, extrema, inflection points, and full curve analysis with the exponential function. Do a portion by hand daily.

Weeks 3 and 4: integrals. Antiderivatives, definite integrals, areas between curves, average values, and applied models. Mix derivative and integral tasks so you practice choosing the operation, not just executing it.

Weeks 5 and 6: geometry or linear algebra. Vectors, lines, planes, mutual positions, intersections, angles, and distances, or your state's linear algebra strand. Push for fluency in the standard methods; these tasks repeat their patterns more than analysis does.

Weeks 7 and 8: stochastics. Trees and conditional probability, random variables, binomial distribution, and, at advanced level, the normal distribution and hypothesis testing. Write the model explicitly in every task: the random variable, its distribution, its parameters.

Weeks 9 and 10: the aids-free gear plus mixed practice. Daily short no-calculator drills covering all three areas, alongside mixed Part B tasks at full difficulty. This is also the block where you finalize which Part A choice areas suit you.

Week 11: two full papers. Real timing, real calculator, real hand-in rhythm for Part A. Review each paper for at least as long as the sitting took, and redo every missed task from a blank page a day later.

Week 12: freeze the routine. One final paper early in the week, then targeted repair of the last recurring error patterns. No new topics in the final days.

Exam-Day Pacing for a Five-Hour Paper

Aim to complete Part A with margin: around 80 to 90 minutes of work plus a short check, handed in before the deadline forces you. After receiving your aids, allocate Part B time roughly by BE: at advanced level that is about two minutes per point as a budget, which leaves a closing buffer of 20 to 30 minutes.

Use the buffer deliberately: revisit marked sub-questions, check signs and units, confirm that exact values were given where demanded, and read the final sentence of each solution. If a conclusion does not answer the question as asked, finish it. In a paper graded step by step against a percentage grid, those last sentences are cheap points.

The Bottom Line

The Abitur math exam is no longer sixteen unrelated exams. It is one shared structure with state-specific settings: two parts, three subject areas, a hand-in decision, and a percentage grid that pays for every justified step. Prepare accordingly. Verify your state's calculator variant, train the aids-free repertoire daily, work the three content pillars in focused blocks, and finish with full papers under real conditions. Twelve disciplined weeks is enough to walk in knowing exactly what the paper will ask of you, which is precisely the advantage the shared structure makes possible.