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100+ Free Schleswig-Holstein ESA Mathematics Practice Questions

Schleswig-Holstein First General School Leaving Certificate (ESA) Mathematics (Mathematik) practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Schleswig-Holstein ESA Mathematics Exam

135 min

Total Bearbeitungszeit for the ESA Mathematik written exam, across Heft 1 and Heft 2

Durchführungsbestimmungen ESA/MSA 2025/26, Ziffer 6.8

45 min max

Maximum time allowed for the calculator-free Heft 1 (Kurzformaufgaben)

Durchführungsbestimmungen ESA/MSA 2025/26, Ziffer 10.2

20 min

Einlesezeit for Heft 2 at ESA level (30 minutes at MSA level) before the working time begins

Durchführungsbestimmungen ESA/MSA 2025/26, Ziffer 10.2

08.05.2026

Written ESA Mathematik exam date in the 2026 main session; Nachschreibtermin 22.05.2026

Erlass des MBWFK vom 14. November 2025 - III 334

1-6 Noten

Grading scale, whole grades only, from 1 (sehr gut) to 6 (ungenügend)

Durchführungsbestimmungen ESA/MSA 2025/26, Ziffer 7.2

2:1 ratio

Vornote-to-Prüfungsnote weighting used to form the Mathematik Endnote

Section 17, Landesverordnung über Gemeinschaftsschulen (GemVO)

Free 100-question English-language MCQ study bank for the Schleswig-Holstein ESA (Erster allgemeinbildender Schulabschluss) Mathematik exam, mapped to Grundrechenarten (~15%), Prozent-/Zinsrechnung (~22%), Gleichungen/Terme (~20%), Flächen-/Körperberechnung and Satz des Pythagoras (~25%), and Daten/Zufall (~18%) per the Fachanforderungen Mathematik and the Durchführungsbestimmungen ESA/MSA 2025/26. Official exam: German written paper, 135 min total (max 45 min calculator-free Heft 1, remainder in Heft 2 with Formelsammlung and calculator), written date 08.05.2026 (Nachschreibtermin 22.05.2026). This is a lower-secondary (Jahrgangsstufe 9) level, distinct from and less advanced than the MSA or Abitur — no quadratics, trigonometry or calculus. Not an official-format simulation; no fee for regular school candidates.

Sample Schleswig-Holstein ESA Mathematics Practice Questions

Try these sample questions to test your Schleswig-Holstein ESA Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What is 3/4 + 1/6?
A.11/12
B.5/12
C.2/5
D.13/12
Explanation: Convert both fractions to twelfths: 3/4 = 9/12 and 1/6 = 2/12. Adding the numerators gives 9/12 + 2/12 = 11/12, which is already in lowest terms.
2What is 0.6 x 0.5?
A.0.3
B.1.1
C.3.0
D.0.03
Explanation: Multiply as whole numbers first: 6 x 5 = 30. Since 0.6 and 0.5 together have two digits after the decimal point, move the decimal point two places to the left in 30 to get 0.30, which equals 0.3.
3What is 12 - 2 x 3 + 4?
A.10
B.34
C.2
D.-2
Explanation: Order of operations requires multiplication before addition or subtraction: compute 2 x 3 = 6 first. Then work left to right through the remaining addition and subtraction: 12 - 6 + 4 = 10.
4What is (-8) + 5 - (-3)?
A.0
B.-6
C.-16
D.6
Explanation: Adding 5 to -8 gives -3. Subtracting a negative number is the same as adding its positive value, so -3 - (-3) = -3 + 3 = 0.
5Round 47.386 to two decimal places (the hundredths place).
A.47.39
B.47.38
C.47.4
D.47.29
Explanation: The hundredths digit is 8, and the digit right after it (the thousandths place) is 6, which rounds up. So 47.386 rounds to 47.39 when kept to two decimal places.
6What is the reciprocal of the fraction 4/7?
A.7/4
B.4/7
C.-4/7
D.1
Explanation: The reciprocal of a fraction is found by swapping its numerator and denominator. Swapping 4 and 7 in 4/7 gives 7/4.
7Use the distributive property to compute 6 x 13 by splitting 13 into 10 + 3. What is 6 x 10 + 6 x 3?
A.78
B.60
C.63
D.84
Explanation: Splitting 13 into 10 + 3 and distributing the 6 gives 6 x 10 + 6 x 3 = 60 + 18 = 78, the same result as multiplying 6 x 13 directly.
8What is 5/8 - 1/4?
A.3/8
B.1/2
C.1/8
D.1
Explanation: Convert 1/4 to eighths: 1/4 = 2/8. Then subtract the numerators over the common denominator: 5/8 - 2/8 = 3/8.
9What is 2 1/3 x 3/4?
A.1 3/4
B.1 1/2
C.2 1/4
D.7/12
Explanation: Convert the mixed number: 2 1/3 = 7/3. Multiplying 7/3 x 3/4 = 21/12, which simplifies to 7/4, or 1 3/4.
10What is (-15) / 3 + (-2)?
A.-7
B.-5
C.7
D.-17
Explanation: Divide first: -15 / 3 = -5. Then add -2: -5 + (-2) = -7.

About the Schleswig-Holstein ESA Mathematics Practice Questions

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