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Key Facts: Državna Matura Math B Exam
40
Total Scoreable Points
NCVVO Exam Catalogue
150 min
Exam Duration
NCVVO Administration Rules
25% (10 pts)
Minimum Passing Threshold
NCVVO Grading Criteria (NN 56/2026)
40%
Numbers & Algebra Weight
Exam Blueprint Domain 1
30%
Functions Weight
Exam Blueprint Domain 2
20%
Plane Geometry Weight
Exam Blueprint Domain 3
10%
Modeling & Statistics Weight
Exam Blueprint Domain 4
0 €
Cost for Regular Seniors
NCVVO Summer Session
5 grades
Grading Scale (1–5)
Croatian Ministry of Science and Education
Croatia's Državna matura Mathematics Level B is a 150-minute, 40-point standardized national exam managed by NCVVO. Required for general university entry in humanities, social sciences, and non-STEM disciplines, it features a 25% (10-point) passing mark and covers Numbers & Algebra (40%), Functions (30%), Geometry (20%), and Modeling & Statistics (10%).
Sample Državna Matura Math B Practice Questions
Try these sample questions to review concepts for the Državna Matura Math B exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1What is the value of the expression 3.5 - 2 × 1.4 + 0.8 / 4?
2Compute the value of the fraction (3/4 - 1/6) / (2/3).
3A winter coat originally priced at 120 € is discounted by 25%. What is the discounted price?
4If 4 kg of apples cost 5.20 €, how much do 7 kg of the same apples cost?
5Simplify the algebraic expression: 3(2x - 4) - 2(x - 5).
6Solve the linear equation: 5x - 7 = 2x + 8.
7What is the value of 2^(-3) × 4^2?
8Simplify the expression with square roots: √(75) - √(27).
9Solve the inequality: 3 - 2x <= 9.
10Solve the system of linear equations: 2x + y = 11 x - 3y = -5 What is the value of x + y?
About the Državna Matura Math B Exam
The Državna matura in Mathematics at Level B (osnovna razina) is Croatia's standardized upper-secondary school leaving examination administered by the Nacionalni centar za vanjsko vrednovanje obrazovanja (NCVVO). Regulated by the Pravilnik o polaganju državne mature (NN 56/2026), it is compulsory for high school graduation in four-year secondary vocational programs and gymnasiums where candidates choose the basic level based on their prospective university admission requirements. Level B focuses on essential mathematical literacy, real-world numerical problem-solving, elementary algebra, linear and quadratic functions, fundamental Euclidean plane geometry, and basic descriptive statistics. The paper is scored out of 40 total points over a single 150-minute testing session. Candidates are provided with an official NCVVO formula booklet and may use an approved non-programmable scientific calculator. The minimum passing threshold is set at 25% (10.00 points, corresponding to a passing grade of dovoljan 2), with higher thresholds determining grades dobar (3), vrlo dobar (4), and odličan (5).
Exam sponsor: NCVVO. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.
Questions
40 questions
Time Limit
150 minutes
Passing Score
10 out of 40 points (25%)
Exam / Certification Fees
Free for regular seniors; fee per exam applies for re-sits/external candidates.
Exam sponsor websiteFees, 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.
Brojevi i algebra (Numbers & Algebra)
Calculations with integers, fractions, decimals, and percentages; ratio, proportion, and financial applications; powers and roots; algebraic simplification and factorisation; linear equations and inequalities; systems of two linear equations in two variables.
Funkcije (Functions)
Function notation, domain and range; linear functions f(x) = kx + l, slope, parallel lines, and x/y-intercepts; quadratic functions f(x) = ax^2 + bx + c, discriminant, vertex form, axis of symmetry, roots, and maximum/minimum values; interpretation of real-life graphs.
Geometrija (Plane Geometry)
Properties and metrics of triangles, right-angled triangles, and the Pythagorean theorem; similarity of geometric figures; circles, disks, radii, chords, and tangents; quadrilaterals (parallelograms, trapezoids, rhombi, rectangles); coordinate geometry (distance between points, midpoint of a segment, slope of a line).
Modeliranje i statistika (Modeling & Statistics)
Translating contextual word problems into mathematical expressions; reading, interpreting, and comparing data from tables, frequency charts, bar graphs, and pie charts; computing central tendency measures (mean, median, mode); elementary classical probability of single events.
Preparing for the Državna Matura Math B Exam
What You Need to Know
- Passing score: 10 out of 40 points (25%)
- Exam length: 40 questions
- Time limit: 150 minutes
- Exam / certification fees: Free for regular seniors; fee per exam applies for re-sits/external candidates. 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
Državna Matura Math B: Suggested Study Strategy
Frequently Asked Questions
What is the difference between Level A and Level B in the Croatian Državna matura Mathematics exam?
Level A (viša razina / higher level) covers advanced secondary mathematics, including trigonometry of arbitrary angles, logarithms, exponential equations, stereometry, complex numbers, derivatives, and vectors, aimed at STEM, engineering, medicine, and economics faculties. Level B (osnovna razina / basic level) covers core secondary mathematics: arithmetic, percentages, linear and quadratic equations and functions, basic plane geometry, and introductory statistics, intended for humanities, arts, and faculties without advanced mathematics prerequisites.
What is the minimum passing score for Državna matura Mathematics Level B?
Under the Pravilnik o polaganju državne mature (NN 56/2026), the minimum passing score is 25% of the total 40 points, which equals 10.00 points (grade dovoljan 2). Higher grades follow standardized cutoffs: dobar 3 typically starts at 20.00 points (50%), vrlo dobar 4 at 28.00 points (70%), and odličan 5 at 34.00 points (85%).
What aids and calculators are permitted during the Level B Mathematics examination?
Candidates are allowed a pencil, blue or black ballpoint pen, an eraser, geometric tools (ruler and triangle), and a standard scientific calculator. The calculator must not have symbolic algebra capabilities (CAS), graphing features, wireless connectivity, or user-programmable text storage. In addition, candidates receive the official NCVVO Mathematics Level B formula booklet.
How long is the Mathematics Level B examination and how many tasks does it contain?
The exam lasts 150 minutes without scheduled breaks. The exam paper contains tasks totaling 40 scoreable points, consisting of both closed multiple-choice questions (each with four options A, B, C, D) and open short-answer tasks where students write the final calculated numerical value or algebraic expression in designated answer boxes.
Is an official formula booklet provided during the examination?
Yes. NCVVO provides an official formula booklet (Knjižica formula za osnovnu razinu) attached to each candidate's exam paper. It includes essential algebraic identities, formulas for the vertex of a parabola, triangle and polygon areas, Pythagorean theorem, circle formulas, and basic coordinate geometry rules. Candidates should familiarize themselves with this booklet prior to the exam.
Can a student who chose Level B switch to Level A or retake the exam?
Students register their exam levels during the national application window on the Postani student portal. Changes can be made until the official deadline specified in the annual calendar. If a candidate wishes to improve their score or switch levels after the summer session (ljetni rok), they may register for the autumn examination session (jesenski rok), subject to candidate category rules and applicable administrative fees.
How do Croatian universities evaluate Level B mathematics compared to Level A?
Each higher education institution defines its own admission criteria. Faculties that require Level A will generally either reject Level B scores entirely or apply a heavy penalty weighting (e.g., multiplying Level B results by a reduction coefficient like 0.6 or 0.8). Faculties requiring Level B evaluate both levels equally or award bonus points for Level A. Candidates must verify specific requirements on the Postani student portal.