PracticeVideosBlogFlashcardsEspañol
All Practice Exams

Free Practice Questions for Saarland Abitur Technik-Mathematik

Exam-style questions and explanations by OpenExamPrep.

✓ No registration✓ No credit card
100+ Questions
100% Free

Loading practice questions...

Same family resources

Explore More Saarland Abitur

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

Saarland Abitur Biology (Biologie)

Practice Questions

Saarland Abitur Business Administration — Advanced Level (eN) (BWL)

Practice Questions

Saarland Abitur Catholic Religion (Katholische Religion)

Practice Questions

Saarland Abitur Chemistry (Chemie)

Practice Questions

Saarland Abitur Drama — Basic Level (gN) (Darstellendes Spiel)

Practice Questions

Saarland Abitur Economics — Basic Level (gN) (VWL)

Practice Questions
Exam Review

Key Facts: Saarland Abitur Technik-Mathematik Exam

Saarland's Technik-Mathematik

Saarland's Technik-Mathematik Abitur (eN) is examined by the Ministerium für Bildung und Kultur (MBK) Saarland under the GOS-VO framework for the Fachrichtung Technik.

GOS-VO Saarland

Trigonometry/technical geometry and diff

Trigonometry/technical geometry and differential calculus together account for the largest share of exam content weighting.

GOS-VO Saarland

Technik-Mathematik is taught in close co

Technik-Mathematik is taught in close coordination with Technische Kommunikation and Physik.

GOS-VO Saarland

Statics calculations, including force eq

Statics calculations, including force equilibrium and moments, are a core applied-mechanics skill tested on this exam.

GOS-VO Saarland

This free practice bank contains 100 que

This free practice bank contains 100 questions covering all major Technik-Mathematik Abitur content areas, including genuine calculation problems.

GOS-VO Saarland

Sample Saarland Abitur Technik-Mathematik Practice Questions

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

1In a right triangle, which trigonometric ratio is defined as the length of the opposite side divided by the length of the hypotenuse?
A.Sine
B.Cosine
C.Tangent
D.Cotangent
Explanation: Sine is defined as opposite/hypotenuse in a right triangle — the standard SOH from the mnemonic SOH-CAH-TOA.
2In a right triangle, which trigonometric ratio is defined as the length of the adjacent side divided by the length of the hypotenuse?
A.Cosine
B.Sine
C.Tangent
D.Secant
Explanation: Cosine is defined as adjacent/hypotenuse in a right triangle — the CAH from SOH-CAH-TOA.
3A right triangle has a hypotenuse of 10 cm and one angle of 30°. What is the length of the side opposite the 30° angle?
A.5 cm
B.8.66 cm
C.10 cm
D.3 cm
Explanation: Opposite = hypotenuse × sin(30°) = 10 × 0.5 = 5 cm.
4A right triangle has a hypotenuse of 10 cm and one angle of 30°. What is the length of the side adjacent to the 30° angle (to the nearest 0.1 cm)?
A.8.7 cm
B.5.0 cm
C.10.0 cm
D.6.0 cm
Explanation: Adjacent = hypotenuse × cos(30°) = 10 × 0.866 ≈ 8.7 cm.
5A ladder leans against a wall, making a 60° angle with the ground. If the base of the ladder is 2 m from the wall, how long is the ladder (to the nearest 0.1 m)?
A.4.0 m
B.2.0 m
C.3.5 m
D.1.7 m
Explanation: cos(60°) = adjacent/hypotenuse = 2/hypotenuse. Since cos(60°) = 0.5, hypotenuse = 2/0.5 = 4.0 m.
6A technical drawing shows a right triangle with legs of 3 cm and 4 cm. Using the Pythagorean theorem, what is the length of the hypotenuse?
A.5 cm
B.7 cm
C.12 cm
D.25 cm
Explanation: c = √(3² + 4²) = √(9 + 16) = √25 = 5 cm — the classic 3-4-5 right triangle.
7The Pythagorean theorem states that for a right triangle with legs a and b and hypotenuse c:
A.a² + b² = c²
B.a + b = c
C.a × b = c²
D.a² - b² = c²
Explanation: The Pythagorean theorem states that the sum of the squares of the two legs equals the square of the hypotenuse: a² + b² = c².
8An engineer needs to find the height of a tower. Standing 50 m from the base, the angle of elevation to the top is measured as 40°. Using tan(40°) ≈ 0.839, the height of the tower (to the nearest meter) is approximately:
A.42 m
B.50 m
C.32 m
D.65 m
Explanation: tan(40°) = height/distance, so height = 50 × 0.839 ≈ 41.96 m, which rounds to 42 m.
9The sum of the interior angles of any triangle always equals:
A.180°
B.360°
C.90°
D.270°
Explanation: The interior angles of any triangle, regardless of shape, always sum to exactly 180°.
10A regular hexagon (6 equal sides) has interior angles that each measure:
A.120°
B.90°
C.60°
D.180°
Explanation: Sum of interior angles = (n−2) × 180° = (6−2) × 180° = 720°. Divided equally among 6 angles: 720°/6 = 120°.

About the Saarland Abitur Technik-Mathematik Exam

Saarland Abitur TE-M is the written Profilfach for the Fachrichtung Technik in the berufliches Gymnasium examination in Technik-Mathematik, administered under the GOS-VO. It assesses Trigonometry & Technical Geometry, Vectors & Analytic Geometry, Functions & Technical Modeling, Differential Calculus, Integral Calculus, and Statics & Technical Mechanics. This free MCQ bank trains the underlying content before students practise the official applied case-study and structured-problem examination with genuine calculation problems.

Exam sponsor: Ministerium für Bildung und Kultur Saarland (MBK). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official written Saarland Abitur Profilfach for the Fachrichtung Technik in the berufliches Gymnasium TE-M, written as Leistungsfach (E-Kurs). Candidates work with case material, data, or source content across Trigonometry & Technical Geometry, Vectors & Analytic Geometry, Functions & Technical Modeling, Differential Calculus, Integral Calculus, Statics & Technical Mechanics, producing structured or extended responses. This 100-question bank is an MCQ study adaptation only — it does not simulate the real applied case-study and structured-problem examination with genuine calculation problems.

Time Limit

270-300 minutes (Leistungsfach/eN level)

Passing Score

Subject performance is reported on the 0–15 Punkte scale. The Gesamtqualifikation requires at least 200 of 40 Halbjahresergebnisse (Block I) plus at least 100 points from five Abiturprüfungsfächer at 4x weighting (Block II), with at least 20 points (4x weighting) in three Prüfungsfächer including one Leistungsfach, and no 0-point grade (GOS-VO Saarland).

Exam / Certification Fees

No exam fee for regular school candidates: TE-M is a Profilfach for the Fachrichtung Technik in the berufliches Gymnasium in the Saarland state Abitur under the GOS-VO. External/Nichtschüler routes, where they exist, are school/authority-specific and not a published TE-M fee.

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.

Study emphasis ~20%

Trigonometry & Technical Geometry

Angle calculations, right-triangle trigonometry, technical drawing geometry

Study emphasis ~15%

Vectors & Analytic Geometry

Force vectors, vector operations, spatial geometry for technical components

Study emphasis ~15%

Functions & Technical Modeling

Linear, quadratic, and exponential functions modeling technical/engineering processes

Study emphasis ~20%

Differential Calculus

Rates of change, derivatives, optimization of technical quantities

Study emphasis ~15%

Integral Calculus

Area and volume calculations, technical applications of integration

Study emphasis ~15%

Statics & Technical Mechanics

Force equilibrium, moments, levers, and structural calculations

Preparing for the Saarland Abitur Technik-Mathematik Exam

What You Need to Know

  • Passing score: Subject performance is reported on the 0–15 Punkte scale. The Gesamtqualifikation requires at least 200 of 40 Halbjahresergebnisse (Block I) plus at least 100 points from five Abiturprüfungsfächer at 4x weighting (Block II), with at least 20 points (4x weighting) in three Prüfungsfächer including one Leistungsfach, and no 0-point grade (GOS-VO Saarland).
  • Assessment: Official written Saarland Abitur Profilfach for the Fachrichtung Technik in the berufliches Gymnasium TE-M, written as Leistungsfach (E-Kurs). Candidates work with case material, data, or source content across Trigonometry & Technical Geometry, Vectors & Analytic Geometry, Functions & Technical Modeling, Differential Calculus, Integral Calculus, Statics & Technical Mechanics, producing structured or extended responses. This 100-question bank is an MCQ study adaptation only — it does not simulate the real applied case-study and structured-problem examination with genuine calculation problems.
  • Time limit: 270-300 minutes (Leistungsfach/eN level)
  • Exam / certification fees: No exam fee for regular school candidates: TE-M is a Profilfach for the Fachrichtung Technik in the berufliches Gymnasium in the Saarland state Abitur under the GOS-VO. External/Nichtschüler routes, where they exist, are school/authority-specific and not a published TE-M fee. Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Saarland Abitur Technik-Mathematik: Suggested Study Strategy

1Master right-triangle trigonometry (sine, cosine, tangent) for technical drawing and measurement problems.
2Practice vector addition, subtraction, and magnitude calculations for force analysis.
3Review derivative rules and their application to rates of change in technical/physical contexts (velocity, optimization).
4Practice integral calculus for area and volume problems relevant to technical components.
5Master static equilibrium conditions (sum of forces = 0, sum of moments = 0) for lever and structural problems.

Frequently Asked Questions

What is Technik-Mathematik as a Saarland Abitur subject?

Technik-Mathematik (TE-M) is the applied mathematics profile subject (eN, advanced level) for students in the gymnasiale Oberstufe with Fachrichtung Technik, extending core mathematics into technical and engineering contexts such as statics, technical geometry, and rates of change.

Does the Saarland Technik-Mathematik Abitur require real calculations?

Yes, the exam is calculation-intensive, covering trigonometric problem solving, vector operations, derivatives and integrals, and statics equilibrium calculations applied to technical scenarios.

How does Technik-Mathematik differ from the national Mathematik exam on the Saarland Abitur?

Technik-Mathematik applies core mathematical methods specifically to engineering and technical contexts (forces, technical drawings, mechanical systems), taught in close coordination with Technische Kommunikation and Physik, while the national Mathematik exam covers the general academic-track curriculum.

Are these practice questions free?

Yes, all 100 Saarland Abitur Technik-Mathematik practice questions on OpenExamPrep are completely free with detailed explanations for every answer choice.