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Key Facts: Hamburg Abitur Math Exam

285 / 330 min

Arbeitszeit gA / eA; no separate Auswahlzeit

A-Heft 2026 Mathematik (updated 08.04.2025)

100 / 110 min

Maximum Aufgabe I Bearbeitungszeit gA / eA

A-Heft 2026 Mathematik

80 / 100 BE

Total Bewertungseinheiten after selection gA / eA

A-Heft 2026 Mathematik weighting table

25–30 / 15–20 / 15–20 BE

II Analysis / III LA-or-AG / IV Stochastik (gA lower, eA higher)

A-Heft 2026 Mathematik

KMK Formelsammlung

IQB-approved Mathematisch-naturwissenschaftliche Formelsammlung from Abitur 2026; Tafelwerk no longer admitted

Hamburger Bildungsserver; A-Heft Hilfsmittel (vom IQB zugelassene Formelsammlung)

No separate fee

No published per-subject Mathematik exam price for regular school candidates

BSFB / school-administered Abitur pathway

Hamburg Mathematik (A-Heft 2026): gA 285 / eA 330 min; Aufgabe I hilfsmittelfrei (max 100/110 min) then II–IV with IQB/KMK Formelsammlung and scientific calculator or MMS. After selection: gA 80 BE or eA 100 BE (Analysis heaviest). Graded in Notenpunkte; this free English MCQ bank is a study adaptation only—not the official German written format.

Sample Hamburg Abitur Math Practice Questions

Try these sample questions to review concepts for the Hamburg Abitur Math exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1According to Hamburg's A-Heft 2026 for Mathematik, how is the written Zentralabitur structured?
A.Aufgabe I hilfsmittelfrei, then Aufgaben II-IV with IQB-approved Formelsammlung and calculator or MMS
B.A single oral colloquium with CAS only
C.Portfolio coursework without a central Klausur
D.Only multiple-choice items from a national testing agency
Explanation: A-Heft 2026 Mathematik splits the Klausur into aid-free Aufgabe I and a second Pruefungsteil (choose II.1 or II.2, plus III and IV) after the Hilfsmittel handover.
2What are the 2026 Arbeitszeiten for Hamburg Mathematik on gA and eA?
A.255 minutes (gA) and 300 minutes (eA)
B.285 minutes (gA) and 330 minutes (eA)
C.300 minutes for both levels
D.330 minutes (gA) and 390 minutes (eA)
Explanation: A-Heft 2026 Mathematik sets Bearbeitungszeit at 285 minutes (gA) and 330 minutes (eA), with no separate Auswahlzeit.
3What is the maximum Bearbeitungszeit for Aufgabe I (hilfsmittelfrei) in Hamburg Mathematik 2026?
A.90 minutes (gA) and 100 minutes (eA)
B.120 minutes for both levels
C.100 minutes (gA) and 110 minutes (eA)
D.The entire 285/330 minutes may be spent on Aufgabe I
Explanation: Aufgabe I must be handed in after at most 100 minutes (gA) or 110 minutes (eA); remaining time goes to II-IV with aids.
4After selection, what are the Bewertungseinheiten for eA Mathematik in Hamburg 2026?
A.I 25, II 25, III 15, IV 15 (sum 80 BE)
B.I 40, II 40, III 20, IV 20 (sum 120 BE)
C.Only one 100-BE Analysis Aufgabe
D.I 30, II 30, III 20, IV 20 (sum 100 BE)
Explanation: A-Heft 2026 weighting: eA I 30 + II 30 + III 20 + IV 20 = 100 BE. The 80-BE row is gA.
5Which Hilfsmittel statement matches A-Heft 2026 Mathematik and Hamburg Bildungsserver guidance from Abitur 2026?
A.After Aufgabe I: IQB-approved Mathematisch-naturwissenschaftliche Formelsammlung (KMK) plus non-programmable non-graphing calculator or MMS; Tafelwerk no longer admitted
B.Any Tafelwerk may be used for the entire exam, including Aufgabe I
C.Graphing calculators (GTR) are mandatory for all courses
D.No formula booklet is allowed at any time
Explanation: After Aufgabe I, candidates receive a vom IQB zugelassene Formelsammlung and a scientific calculator (or MMS). Hamburg Bildungsserver states the KMK Formelsammlung is admitted from Abitur 2026 and the Tafelwerk is no longer admitted.
6How does gA Aufgabe I selection work in Hamburg Mathematik 2026?
A.Only I.1 is Pflicht; everything else is optional bonus
B.Pflicht I.1, I.2, I.3; then choose one of I.4.1-I.4.3 and one of I.5.1-I.5.3
C.Pflicht I.1-I.4; then choose two of I.5.1-I.5.6
D.Choose any three of nine Unteraufgaben with no Pflicht set
Explanation: For gA: solve I.1, I.2, I.3, then select one I.4.x and one I.5.x. The I.1-I.4 Pflicht plus two of six I.5.x pattern is eA.
7Who sets whether Aufgabe III is Schwerpunkt Lineare Algebra (III.1) or Analytische Geometrie (III.2)?
A.Each candidate chooses freely on exam day
B.The IQB randomizes it per booklet
C.The school sets it in the Abiturienteneingabe for each Kurs
D.BSFB always forces III.2 for all Hamburg schools
Explanation: A-Heft 2026: the school determines for each Kurs whether III.1 or III.2 is examined.
8Hamburg Mathematik Abitur tasks are developed in connection with which shared system?
A.Only school-internal teacher-made papers with no Land pool
B.PISA released items exclusively
C.SAT Math Level 2 retired forms
D.The gemeinsamen Abituraufgabenpool der Laender coordinated by the IQB
Explanation: A-Heft 2026 preface: Mathematik uses the shared Laender Abituraufgabenpool (IQB) for the tenth time in 2026.
9Which statement about Auswahlzeit in Hamburg Mathematik 2026 is correct?
A.A separate Auswahlzeit is not granted; Aufgabe I ceilings already include selection within the total Arbeitszeit
B.A separate 30-minute Auswahlzeit is granted before any writing
C.Auswahlzeit equals half of Aufgabe I
D.Only eA receives a separate Auswahlzeit
Explanation: A-Heft 2026: Eine gesonderte Auswahlzeit wird nicht gewaehrt. Contrasting a common error: No separate Auswahlzeit is granted for Mathematik 2026.
10Which calculator technology matches A-Heft 2026 Mathematik after Aufgabe I?
A.Any smartphone CAS app
B.Non-programmable, non-graphing Taschenrechner, or MMS-Rechner in courses that use modular mathematics systems
C.Programmable graphing calculator for every candidate
D.No calculator of any kind is ever allowed
Explanation: After Aufgabe I: non-programmable non-graphing calculator, or MMS where the course uses modular mathematics systems.

About the Hamburg Abitur Math Exam

Hamburg Mathematik Zentralabitur is a centrally prepared written examination under the A-Heft 2026 (updated 08.04.2025) and Bildungsplan Studienstufe 2022 Rahmenplan Mathematik. Working time is 285 minutes (gA) or 330 minutes (eA) with no separate Auswahlzeit. The paper splits into aid-free Aufgabe I and aided Aufgaben II–IV covering Analysis, Lineare Algebra or Analytische Geometrie, and Stochastik. Tasks draw on the shared Länder IQB pool. After selection, Bewertungseinheiten total 80 (gA) or 100 (eA). From Abitur 2026 the Mathematisch-naturwissenschaftliche Formelsammlung der KMK (IQB-approved editions) replaces the Tafelwerk. Official language and format are German constructed-response. This free bank offers 100 original English MCQs—many with genuine numeric calculation options—for concept and procedure practice only; it cannot replace timed German written work.

Exam sponsor: Behörde für Schule, Familie und Berufsbildung (BSFB), Freie und Hansestadt Hamburg. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Per A-Heft 2026 Mathematik (updated 08.04.2025): the school sets Aufgabe III Schwerpunkt as III.1 Lineare Algebra or III.2 Analytische Geometrie. Candidates receive Aufgabe I (hilfsmittelfrei), II.1 and II.2 (Analysis Wahl), III.1 or III.2, and IV (Stochastik). gA Aufgabe I: Pflicht I.1–I.3 plus choose one of I.4.1–I.4.3 and one of I.5.1–I.5.3; hand in by 100 minutes. eA Aufgabe I: Pflicht I.1–I.4 plus choose two of I.5.1–I.5.6; hand in by 110 minutes. Then choose II.1 or II.2 and complete III and IV with aids. No separate Auswahlzeit; total Arbeitszeit 285 min (gA) or 330 min (eA). After Aufgabe I: vom IQB zugelassene Formelsammlung (Mathematisch-naturwissenschaftliche Formelsammlung der KMK from Abitur 2026; Tafelwerk no longer admitted) plus non-programmable non-graphing calculator or MMS where used in the course; Rechtschreibwörterbuch for the whole sitting. Hamburg uses the shared Länder Mathematik pool (IQB). Framework: Bildungsplan Studienstufe 2022 Rahmenplan Mathematik. This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.

Time Limit

gA 285 minutes; eA 330 minutes. No separate Auswahlzeit. Aufgabe I at most 100 minutes (gA) or 110 minutes (eA).

Passing Score

Only whole Bewertungseinheiten; percentage of BE converts to Notenpunkte on the 0–15 scale under Hamburg Abitur grading rules. Overall Allgemeine Hochschulreife follows APO-AH / Reifeprüfungsordnung Gesamtqualifikation rules.

Exam / Certification Fees

No separate per-subject Mathematik fee is separately published for regular school Abitur candidates; administration is through the school/Land pathway rather than a listed exam price.

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

35%

Analysis

Differentiation and integration, extrema/inflection, areas/volumes, and the Aufgabe II Analysis Wahlaufgabe (25 BE gA / 30 BE eA).

28%

Linear Algebra / Analytic Geometry

Vectors, systems/matrices, lines/planes, Lagebeziehungen, distances and angles under school-selected III.1 or III.2 (15 BE gA / 20 BE eA).

27%

Stochastics

Combinatorics, trees/tables, binomial models, conditional probability, and expected-value ideas in Aufgabe IV (15 BE gA / 20 BE eA).

10%

Exam structure and grading literacy

Timing, gA/eA Aufgabe-I selection, BE totals, Hilfsmittel handover, and KMK/IQB Formelsammlung rules from 2026.

Preparing for the Hamburg Abitur Math Exam

What You Need to Know

  • Passing score: Only whole Bewertungseinheiten; percentage of BE converts to Notenpunkte on the 0–15 scale under Hamburg Abitur grading rules. Overall Allgemeine Hochschulreife follows APO-AH / Reifeprüfungsordnung Gesamtqualifikation rules.
  • Assessment: Per A-Heft 2026 Mathematik (updated 08.04.2025): the school sets Aufgabe III Schwerpunkt as III.1 Lineare Algebra or III.2 Analytische Geometrie. Candidates receive Aufgabe I (hilfsmittelfrei), II.1 and II.2 (Analysis Wahl), III.1 or III.2, and IV (Stochastik). gA Aufgabe I: Pflicht I.1–I.3 plus choose one of I.4.1–I.4.3 and one of I.5.1–I.5.3; hand in by 100 minutes. eA Aufgabe I: Pflicht I.1–I.4 plus choose two of I.5.1–I.5.6; hand in by 110 minutes. Then choose II.1 or II.2 and complete III and IV with aids. No separate Auswahlzeit; total Arbeitszeit 285 min (gA) or 330 min (eA). After Aufgabe I: vom IQB zugelassene Formelsammlung (Mathematisch-naturwissenschaftliche Formelsammlung der KMK from Abitur 2026; Tafelwerk no longer admitted) plus non-programmable non-graphing calculator or MMS where used in the course; Rechtschreibwörterbuch for the whole sitting. Hamburg uses the shared Länder Mathematik pool (IQB). Framework: Bildungsplan Studienstufe 2022 Rahmenplan Mathematik. This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.
  • Time limit: gA 285 minutes; eA 330 minutes. No separate Auswahlzeit. Aufgabe I at most 100 minutes (gA) or 110 minutes (eA).
  • Exam / certification fees: No separate per-subject Mathematik fee is separately published for regular school Abitur candidates; administration is through the school/Land pathway rather than a listed exam price. Official sources

Using Our Practice Resources

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Hamburg Abitur Math: Suggested Study Strategy

1Drill hilfsmittelfrei short tasks under a 100-minute (gA) or 110-minute (eA) budget before switching to aided II–IV work.
2Memorize the BE skeleton: gA 25/25/15/15 = 80; eA 30/30/20/20 = 100.
3Know whether your Kurs uses III.1 Lineare Algebra or III.2 Analytische Geometrie—the school sets this in the Abiturienteneingabe.
4Practice with the IQB/KMK Formelsammlung only after simulating the Aufgabe-I handover; do not rely on the old Tafelwerk for 2026.
5Train documenting Lösungswegen carefully for Aufgaben II–IV—the A-Heft requires careful documentation in the second Prüfungsteil.
6Use IQB pool sample tasks and LMS Lernen Hamburg past papers for German constructed-response practice alongside these English MCQs.

Frequently Asked Questions

Is the official Hamburg Mathematik Abitur a multiple-choice test?

No. It is a German-language constructed-response written exam (hilfsmittelfrei Aufgabe I + aided Aufgaben II–IV) scored in Bewertungseinheiten. This bank is an English MCQ study adaptation only.

How long is the 2026 Mathematik written exam in Hamburg?

Arbeitszeit is 285 minutes on grundlegendes Anforderungsniveau (gA) and 330 minutes on erhöhtes Anforderungsniveau (eA). A separate Auswahlzeit is not granted. Aufgabe I may take at most 100 minutes (gA) or 110 minutes (eA).

How does Hamburg Mathematik Aufgabe I–IV selection work?

Everyone receives Aufgabe I, II.1, II.2, III.1 or III.2 (school Schwerpunkt), and IV. After finishing Aufgabe I (aid-free), candidates choose II.1 or II.2 (Analysis) and complete III and IV. gA and eA differ in which Aufgabe-I Unteraufgaben are Pflicht versus Wahl.

What formula booklet is allowed from Abitur 2026?

After handing in Aufgabe I, candidates receive a vom IQB zugelassene Formelsammlung—the Mathematisch-naturwissenschaftliche Formelsammlung der KMK. Hamburg’s Bildungsserver states the Tafelwerk is no longer admitted for the written Abitur from 2026.

Does Hamburg use the shared Länder Mathematik pool?

Yes. The A-Heft 2026 preface states Mathematik (with Deutsch, English, and French) draws for the tenth time on the gemeinsamen Abituraufgabenpool der Länder developed with the IQB.

What are the BE totals for gA vs eA?

gA: Aufgabe I 25 + II 25 + III 15 + IV 15 = 80 BE. eA: I 30 + II 30 + III 20 + IV 20 = 100 BE (A-Heft 2026 Mathematik weighting table).

Is there a separate fee for Mathematik?

No separate per-subject fee is separately published for regular school candidates; follow your school and BSFB pathway notices.