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Hamburg Intermediate School Leaving Certificate (MSA) German

Practice Questions100 questions

Exam Review

Key Facts: Hamburg MSA Math Exam

135 minutes

Total Arbeitszeit for MSA Mathematik 2026 (shortened by 20 minutes vs prior)

BSFB Hinweise und Beispiele Mathematik MSA; Regelungen MSA 2026

~45 minutes

Richtwert / Orientierungszeit for Aufgabe I (hilfsmittelfrei)

Regelungen MSA 2026 Mathematik; abschluss-hamburg.de MSA Mathe overview

3 of 4 Aufgaben

Work Pflicht I + Pflicht II + Wahl III or IV

BSFB Hinweise und Beispiele / Regelungen MSA 2026 Mathematik

Aufgabe II

Pflicht: Raum und Form + Größen und Messen (solids, Pythagoras, trig/Sinussatz)

Regelungen MSA 2026 Mathematik — Aufgabenarten

BSFB

Administrator: Behörde für Schule, Familie und Berufsbildung, Hamburg

hamburg.de Zentrale Prüfungen / MSA 2026

~20%

Typical school weighting of Prüfung into Mathematik Zeugnisnote (confirm locally)

School MSA notices (e.g. LMG Hamburg 2025/26 flyer); APO-GrundStGy pathway

Hamburg MSA Mathematik 2026: 135 min; four Aufgaben, work three (I + II + III or IV). Aufgabe I hilfsmittelfrei; II = Raum und Form + Größen und Messen. BSFB central paper. This free English MCQ bank is a study adaptation only—not the official German written format.

Sample Hamburg MSA Math Practice Questions

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

1What is the total Arbeitszeit for the 2026 Hamburg MSA Mathematik written exam?

A.135 minutes

B.115 minutes

C.155 minutes

D.180 minutes

Explanation: BSFB Hinweise und Beispiele (MSA 2026 Anpassungen) and Regelungen set Mathematik Arbeitszeit at 135 minutes—20 minutes shorter than the previous MSA timing.

2About how long is the Richtwert for Aufgabe I (hilfsmittelfrei) in Hamburg MSA Mathematik 2026?

A.20 minutes

B.45 minutes

C.75 minutes

D.The entire 135 minutes

Explanation: Regelungen MSA 2026 Mathematik give about 45 minutes as the Richtwert/Orientierungswert for Aufgabe I before Hilfsmittel handover.

3Which statement correctly describes Aufgabe I of Hamburg MSA Mathematik?

A.It is optional and only affects the oral English Pruefung

B.It is worked with CAS and the Formelsammlung from the first minute

C.It is Pflicht, hilfsmittelfrei, with MCQ and short Basiskompetenz items across Leitideen

D.It is only Aufgabe IV (Daten und Zufall)

Explanation: Aufgabe I is compulsory and hilfsmittelfrei: Multiple-Choice plus smaller Basiskompetenz tasks covering all Leitideen. Calculator and Formelsammlung come only after handover.

4After handing in Aufgabe I, which tasks must a candidate complete?

A.Only Aufgabe III

B.All of Aufgaben II, III, and IV

C.Only a free choice of any one remaining Aufgabe

D.Aufgabe II (Pflicht) plus either Aufgabe III or Aufgabe IV

Explanation: Candidates work three of four Aufgaben: Pflicht I, Pflicht II (Raum und Form + Größen und Messen), and one Wahl—III (Funktionen) or IV (Zufall).

5Which Leitideen dominate Pflichtaufgabe II?

A.Raum und Form together with Groessen und Messen

B.Only Daten und Zufall

C.Only lineare Funktionen

D.Only Zahl und Operation with no geometry

Explanation: Regelungen state Aufgabe II covers Leitidee Raum und Form and Leitidee Größen und Messen (lengths, areas, volumes, Pythagoras, trigonometry including Sinussatz).

6Which aids are allowed after Aufgabe I is handed in?

A.Programmable graphing calculator and any commercial Tafelwerk

B.Non-programmable non-graphing calculator, Formelsammlung Mathe MSA, drawing tools, Rechtschreibwoerterbuch

C.Internet search and a smartphone CAS app

D.No aids at all for the rest of the exam

Explanation: After Aufgabe I, candidates receive a non-programmable, non-graphing calculator, the official Formelsammlung Mathe MSA, Schreib- und Zeichengeräte, and a spelling dictionary.

7What is Aufgabe III about in Hamburg MSA Mathematik 2026?

A.Only sphere volume formulas with no algebra

B.Only oral presentation skills

C.Leitidee Strukturen und funktionaler Zusammenhang: lineare und quadratische Funktionen

D.Only English reading comprehension

Explanation: Aufgabe III (Wahl) targets Strukturen und funktionaler Zusammenhang—linear and quadratic functions.

8What is Aufgabe IV about?

A.Only Pythagoras proofs without numbers

B.Only Latin grammar

C.Only gymnasiale Oberstufe Analysis

D.Leitidee Daten und Zufall

Explanation: Aufgabe IV (Wahl) addresses Daten und Zufall—probability, diagrams, and data reasoning.

9Who sets the central written Hamburg MSA Mathematik paper?

A.Behoerde fuer Schule, Familie und Berufsbildung (BSFB)

B.Only each classroom teacher invents a unique statewide paper

C.Only the federal KMK grades every script centrally in Bonn

D.Pearson VUE

Explanation: BSFB (Hamburg) issues the zentrale schriftliche Prüfungsaufgaben for MSA Mathematik.

10How does Zahl und Operation relate to the four Aufgaben?

A.It appears only in Aufgabe IV

B.It is an integrative requirement across all Aufgaben

C.It is banned from Aufgabe II

D.It replaces Raum und Form entirely in 2026

Explanation: Regelungen state Anforderungen zur Leitidee Zahl und Operation are an integrative part of all Aufgaben.

About the Hamburg MSA Math Exam

Hamburg MSA Mathematik is the central written Abschlussprüfung for the Mittlerer Schulabschluss. For 2026, Arbeitszeit is 135 minutes. Candidates work Aufgabe I without calculator or Formelsammlung, then Aufgabe II plus either Aufgabe III or IV with aids. Domains follow KMK Leitideen as specified in BSFB Regelungen: Raum und Form and Größen und Messen dominate Aufgabe II; linear/quadratic functions and data/chance are Wahlaufgaben. Official language and format are German constructed-response (with MCQ elements in Aufgabe I). This free bank offers 100 original English MCQs with genuine numeric calculations for concept and procedure practice only.

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 MSA 2026 Regelungen Mathematik and Hinweise und Beispiele: four Aufgaben, three worked—Aufgabe I Pflicht hilfsmittelfrei (MCQ and Basiskompetenzen across Leitideen; ~45 min Richtwert), Aufgabe II Pflicht (Raum und Form + Größen und Messen: lengths/areas/volumes of prisms, cylinders, pyramids, cones, spheres and plane figures; Pythagoras; trigonometry including Sinussatz), then Wahl Aufgabe III (lineare und quadratische Funktionen) or Aufgabe IV (Daten und Zufall). Zahl und Operation is integrative. After Aufgabe I handover: non-programmable non-graphing calculator, Formelsammlung Mathe MSA, drawing tools, spelling dictionary. Arbeitszeit 135 minutes. This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.

Time Limit

135 minutes total (MSA Mathematik 2026); ~45 minutes Richtwert for Aufgabe I before Hilfsmittel.

Passing Score

School Notenskala grading; Prüfung contributes to the Mathematik Zeugnisnote under APO-GrundStGy (commonly ~20% per school notices)—no statewide MCQ cut score.

Exam / Certification Fees

No separate per-subject Mathematik fee is published for regular school MSA candidates; administration is through the school/Land pathway.

Exam sponsor website

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

Official sources

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.

18%

Zahl und Operation / Aufgabe I basics

Fractions, percentages, interest, powers/roots, and short hilfsmittelfrei skills across Leitideen.

24%

Raum und Form

Plane and solid geometry, Pythagoras, and trigonometry (including Sinussatz) as in Aufgabe II.

18%

Größen und Messen

Units, area/volume calculations, scale, and measurement in applied contexts.

15%

Strukturen und funktionaler Zusammenhang

Linear and quadratic functions for Aufgabe III Wahl practice.

15%

Daten und Zufall

Probability, diagrams, and data interpretation for Aufgabe IV Wahl practice.

10%

Exam structure and Hilfsmittel literacy

Timing, Pflicht/Wahl selection, Aufgabe I handover, and allowed aids.

Preparing for the Hamburg MSA Math Exam

What You Need to Know

Passing score: School Notenskala grading; Prüfung contributes to the Mathematik Zeugnisnote under APO-GrundStGy (commonly ~20% per school notices)—no statewide MCQ cut score.
Assessment: Per MSA 2026 Regelungen Mathematik and Hinweise und Beispiele: four Aufgaben, three worked—Aufgabe I Pflicht hilfsmittelfrei (MCQ and Basiskompetenzen across Leitideen; ~45 min Richtwert), Aufgabe II Pflicht (Raum und Form + Größen und Messen: lengths/areas/volumes of prisms, cylinders, pyramids, cones, spheres and plane figures; Pythagoras; trigonometry including Sinussatz), then Wahl Aufgabe III (lineare und quadratische Funktionen) or Aufgabe IV (Daten und Zufall). Zahl und Operation is integrative. After Aufgabe I handover: non-programmable non-graphing calculator, Formelsammlung Mathe MSA, drawing tools, spelling dictionary. Arbeitszeit 135 minutes. This OpenExamPrep bank is an English-language MCQ study adaptation—not an official translation or format simulation.
Time limit: 135 minutes total (MSA Mathematik 2026); ~45 minutes Richtwert for Aufgabe I before Hilfsmittel.
Exam / certification fees: No separate per-subject Mathematik fee is published for regular school MSA candidates; administration is through the school/Land pathway. Official sources

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Hamburg MSA Math: Suggested Study Strategy

1Drill Aufgabe I skills without a calculator under a ~45-minute budget before switching to aided work.

2For Aufgabe II, practise area/volume of prisms, cylinders, pyramids, cones, and spheres plus Pythagoras and right-triangle trigonometry.

3Decide early whether Funktionen (III) or Zufall (IV) is your stronger Wahlaufgabe and deepen that track.

4Use the official Formelsammlung Mathe MSA while practising Aufgaben II–IV so look-ups feel automatic.

5After MCQs, write full German Operator solutions under a 135-minute timer with only allowed Hilfsmittel.

Frequently Asked Questions

Is the official Hamburg MSA Mathematik exam multiple choice?

Only Aufgabe I includes Multiple-Choice and short Basiskompetenz items. Aufgaben II–IV are extended written tasks. This bank is an English MCQ study adaptation of the assessed knowledge—not a full format simulation.

How long is the 2026 Hamburg MSA Mathematik written exam?

Arbeitszeit is 135 minutes. About 45 minutes is the Richtwert for Aufgabe I; after handing it in, remaining time goes to Aufgabe II and the chosen Wahlaufgabe with Hilfsmittel.

Which tasks are compulsory?

Aufgabe I (hilfsmittelfrei) and Aufgabe II (Raum und Form + Größen und Messen) are Pflicht. Candidates then choose either Aufgabe III (Funktionen) or Aufgabe IV (Daten und Zufall).

What aids are allowed after Aufgabe I?

A non-programmable, non-graphing calculator, the official Formelsammlung Mathe MSA, Schreib- und Zeichengeräte, and a German spelling dictionary. Aufgabe I itself is without calculator and without Formelsammlung.

Who administers the exam?

The Behörde für Schule, Familie und Berufsbildung (BSFB) sets the central written Mathematik paper for Hamburg MSA schools.

Is there a separate fee for MSA Mathematik?

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

When is Mathematik written in 2026?

School calendars commonly list MSA Mathematik on 13.04.2026 (with a Nachschreibtermin later in May). Confirm on current BSFB notices and with your school.