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Exam Review

Key Facts: Basque PAU Mathematics II Exam

90 Minutes

Exam time duration

UPV/EHU PAU Commission

EUR 86.33

Ordinary registration fee

UPV/EHU 2026 Fees

0–10 Scale

Grading scale for Bachillerato and PAU exams

Spanish Ministry of Education

4 Core Blocks

Official syllabus domains

UPV/EHU Syllabus

100 Questions

Practice bank size in OpenExamPrep

OpenExamPrep

Basque Country PAU Mathematics II (UPV/EHU 2026) is a 90-minute university entrance exam assessing 2º Bachillerato syllabus domains.

Sample Basque PAU Mathematics II Practice Questions

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

1Evaluate the determinant of the 2x2 matrix [[1, 2], [1, 3]].
A.1
B.5
C.-1
D.4
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (1)(3) - (2)(1) = 1.
2Evaluate the determinant of the 2x2 matrix [[2, 2], [1, 3]].
A.4
B.8
C.1
D.2
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (2)(3) - (2)(1) = 4.
3Evaluate the determinant of the 2x2 matrix [[3, 2], [1, 3]].
A.7
B.11
C.3
D.6
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (3)(3) - (2)(1) = 7.
4Evaluate the determinant of the 2x2 matrix [[4, 2], [1, 3]].
A.10
B.14
C.5
D.4
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (4)(3) - (2)(1) = 10.
5Evaluate the determinant of the 2x2 matrix [[5, 2], [1, 3]].
A.13
B.17
C.7
D.5
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (5)(3) - (2)(1) = 13.
6Evaluate the determinant of the 2x2 matrix [[6, 2], [1, 3]].
A.16
B.20
C.9
D.6
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (6)(3) - (2)(1) = 16.
7Evaluate the determinant of the 2x2 matrix [[7, 2], [1, 3]].
A.19
B.23
C.11
D.7
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (7)(3) - (2)(1) = 19.
8Evaluate the determinant of the 2x2 matrix [[8, 2], [1, 3]].
A.22
B.26
C.13
D.8
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (8)(3) - (2)(1) = 22.
9Evaluate the determinant of the 2x2 matrix [[9, 2], [1, 3]].
A.25
B.29
C.15
D.9
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (9)(3) - (2)(1) = 25.
10Evaluate the determinant of the 2x2 matrix [[10, 2], [1, 3]].
A.28
B.32
C.17
D.10
Explanation: The determinant of [[a, b], [c, d]] is ad - bc. Here, (10)(3) - (2)(1) = 28.

About the Basque PAU Mathematics II Exam

The Basque Country PAU Mathematics II examination (Prueba de Acceso a la Universidad, UPV/EHU 2026) is the official standardized assessment for 2º Bachillerato students seeking university entrance in Spain. This practice bank provides 100 high-quality questions with full step-by-step explanations.

Exam sponsor: PAU Organising Commission of the Basque Country / UPV/EHU. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written 90-minute standardized exam. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Basque Country PAU paper, not an official translation or format simulation.

Time Limit

90 minutes (1.5 hours)

Passing Score

Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).

Exam / Certification Fees

EUR 86.33 ordinary registration fee (UPV/EHU 2026 PAU)

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.

25%

Algebra

Questions covering algebra concepts and applications.

25%

Calculus

Questions covering calculus concepts and applications.

25%

Geometry

Questions covering geometry concepts and applications.

25%

Probability

Questions covering probability concepts and applications.

Preparing for the Basque PAU Mathematics II Exam

What You Need to Know

  • Passing score: Marked on a 0–10 scale. Minimum 4.0 required in Access Phase to combine with Bachillerato GPA (60% Bachillerato + 40% PAU >= 5.0 to pass).
  • Assessment: Written 90-minute standardized exam. Local practice items are an English-language MCQ study adaptation of the official open/semi-constructed Basque Country PAU paper, not an official translation or format simulation.
  • Time limit: 90 minutes (1.5 hours)
  • Exam / certification fees: EUR 86.33 ordinary registration fee (UPV/EHU 2026 PAU) 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

Basque PAU Mathematics II: Suggested Study Strategy

1Review key 2º Bachillerato Mathematics II concepts and authoritative definitions.
2Practice solving past open and problem-solving questions under timed 90-minute conditions.
3Pay attention to precise terminology and clear step-by-step reasoning in explanations.

Frequently Asked Questions

What is the registration fee for PAU Mathematics II in the Basque Country?

The fee is EUR 86.33 for ordinary registration for the PAU at UPV/EHU for 2026.

How is the PAU Mathematics II paper scored?

The paper is scored from 0 to 10 points. A minimum score of 4.0 points in the Access Phase is required to average with Bachillerato grades.

How long is the PAU Mathematics II exam?

The examination duration is 90 minutes (1.5 hours).

What languages are available for the exam at UPV/EHU?

The official exam paper is provided in Basque (Euskara) and Spanish (Castellano).