100+ Free Bulgaria DZI Mathematics Practice Questions

Prepare for the Bulgaria State Matriculation Examination — Mathematics (Държавен зрелостен изпит по математика) exam with instant access — no signup required.

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2026 Statistics

Key Facts: Bulgaria DZI Mathematics Exam

240 minutes

Official written ДЗИ duration is four astronomical hours (anonymous paper)

Наредба № 11 / МОН ДЗИ organisation (written anonymous 4-hour exam)

30 / 100 points

Pass threshold Среден 3.00 on the unified DZI 0–100 point scale

МОН, Скала за оценяване; unified DZI conversion (Среден at 30%)

22 May 2026, 08:30

2026 second compulsory ДЗИ (profiled subject) start time

МОН / RUO session calendar for учебна 2025/2026

ООП vs ПП

General-education and profiled Mathematics papers; ПП adds analysis (derivatives, integrals, extrema)

МОН, Изпитни материали за ДЗИ по математика

English MCQ adaptation

This 100-item bank is a study aid, not the official Bulgarian written paper

OpenExamPrep practice-bank disclosure

Free 100-question English MCQ study bank for Bulgaria DZI Mathematics. Official exam: written anonymous 4-hour Bulgarian paper (ООП or ПП), 0–100 points, pass Среден 3.00 at 30/100. 2026 second compulsory: 22 May 08:30. Not an official format simulation; no published fee for regular school candidates.

Sample Bulgaria DZI Mathematics Practice Questions

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

1Expand (2x - 3)^2.

A.4x^2 - 12x + 9

B.4x^2 + 12x + 9

C.4x^2 - 6x + 9

D.4x^2 - 12x - 9

Explanation: (a - b)^2 = a^2 - 2ab + b^2 with a = 2x and b = 3 gives 4x^2 - 2*(2x)*3 + 9 = 4x^2 - 12x + 9.

2Solve 5x - 3 = 2x + 9.

A.x = 3

B.x = 4

C.x = 6

D.x = 12

Explanation: Subtract 2x from both sides: 3x - 3 = 9. Add 3: 3x = 12. Divide by 3: x = 4. Check: 5*4 - 3 = 17 and 2*4 + 9 = 17.

3The solutions of x^2 - 9 = 0 are

A.x = 9 only

B.x = 0 and x = 9

C.x = -3 and x = 3

D.x = 3 only

Explanation: x^2 - 9 = (x - 3)(x + 3) = 0, so x = 3 or x = -3. Equivalently x^2 = 9 gives x = ±3.

4Which inequality is equivalent to 2x + 1 ≤ 7?

A.x < 3

B.x ≥ 3

C.x > 3

D.x ≤ 3

Explanation: Subtract 1: 2x ≤ 6. Divide by the positive number 2: x ≤ 3. Equality is allowed because the original inequality is ≤.

5If f(x) = 3x - 2, what is f(5)?

A.15

B.13

C.3

D.7

Explanation: Substitute x = 5: f(5) = 3*5 - 2 = 15 - 2 = 13.

6The y-intercept of the line y = -4x + 7 is

A.7

B.-4

C.4

D.-7

Explanation: In slope-intercept form y = mx + b, the y-intercept is b = 7 (the value of y when x = 0).

7The vertex of the parabola y = (x - 3)^2 + 2 is

A.(3, -2)

B.(-3, 2)

C.(3, 2)

D.(2, 3)

Explanation: Vertex form y = (x - h)^2 + k has vertex (h, k) = (3, 2). The graph is the standard parabola shifted 3 right and 2 up.

8The value of 2^6 equals

A.32

B.16

C.128

D.64

Explanation: 2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32, 2^6 = 64.

9log_2(16) equals

A.2

B.4

C.8

D.16

Explanation: log_2(16) is the exponent k such that 2^k = 16. Since 2^4 = 16, the value is 4.

10The 5th term of the arithmetic sequence 4, 7, 10, ... is

A.13

B.19

C.16

D.15

Explanation: First term a = 4, common difference d = 3. The nth term is a_n = a + (n-1)d, so a_5 = 4 + 4*3 = 16.

About the Bulgaria DZI Mathematics Exam

ДЗИ по математика is Bulgaria's state matriculation examination in Mathematics, administered by the Ministry of Education and Science (МОН). It is a written, anonymous, four-hour (240-minute) Bulgarian-language paper scored 0–100 points, with a pass of Среден 3.00 at 30/100. Candidates may sit general-education (ООП) or profiled (ПП) materials: the 2026 second compulsory exam (22 May 2026, 08:30) is the profiled paper when Mathematics is the chosen profile subject. Profiled modules include Geometry, Elements of mathematical analysis, Practical mathematics, and Probability and data analysis. Official tasks are not English multiple choice. This free English MCQ bank trains calculation fluency before students practise released МОН papers in Bulgarian.

Assessment

Official written ДЗИ Mathematics is a Bulgarian anonymous constructed-response/closed-item paper under МОН. The second compulsory 2026 Mathematics sitting is the profiled (ПП) paper for candidates who studied Mathematics as a profile subject; ООП papers appear for general-education / by-choice / validation pathways. ПП compulsory modules: Geometry; Elements of mathematical analysis (derivatives, integrals, extrema); Practical mathematics; Probability and data analysis. This 100-question bank is an English MCQ study adaptation only — it does not simulate the real written paper.

Time Limit

Four astronomical hours (240 minutes). 2026 second compulsory ДЗИ / DIPPK: Friday 22 May 2026, start 08:30. Additional by-choice ДЗИ window: 26 May – 2 June 2026 (confirm the current МОН calendar).

Passing Score

0–100 points; Среден 3.00 at 30/100 on the unified DZI scale. Слаб 2 below 30 points. МОН publishes the session conversion table; university бал uses the points/grade separately.

Exam Fee

No published exam fee for regular school candidates; ДЗИ is a state school-leaving examination. Do not treat any third-party prep price as an official sitting fee. (Министерство на образованието и науката (МОН))

Bulgaria DZI Mathematics Exam Content Outline

Study emphasis ~20%

Algebra and equations

Identities, polynomials, equations, systems and inequalities at ООП/ПП gymnasium depth.

Study emphasis ~18%

Functions

Linear, quadratic, exponential and logarithmic functions, inverses and composition.

Study emphasis ~27%

Sequences, trigonometry, geometry

Sequences; trig identities and triangles; analytic geometry; stereometry of standard solids.

Study emphasis ~18%

Combinatorics and probability

Counting, discrete probability and elementary statistics (ПП data-analysis module).

Study emphasis ~17%

ПП calculus

Derivatives, integrals and extrema from Elements of mathematical analysis.

How to Pass the Bulgaria DZI Mathematics Exam

What You Need to Know

Passing score: 0–100 points; Среден 3.00 at 30/100 on the unified DZI scale. Слаб 2 below 30 points. МОН publishes the session conversion table; university бал uses the points/grade separately.
Assessment: Official written ДЗИ Mathematics is a Bulgarian anonymous constructed-response/closed-item paper under МОН. The second compulsory 2026 Mathematics sitting is the profiled (ПП) paper for candidates who studied Mathematics as a profile subject; ООП papers appear for general-education / by-choice / validation pathways. ПП compulsory modules: Geometry; Elements of mathematical analysis (derivatives, integrals, extrema); Practical mathematics; Probability and data analysis. This 100-question bank is an English MCQ study adaptation only — it does not simulate the real written paper.
Time limit: Four astronomical hours (240 minutes). 2026 second compulsory ДЗИ / DIPPK: Friday 22 May 2026, start 08:30. Additional by-choice ДЗИ window: 26 May – 2 June 2026 (confirm the current МОН calendar).
Exam fee: No published exam fee for regular school candidates; ДЗИ is a state school-leaving examination. Do not treat any third-party prep price as an official sitting fee.

Keys to Passing

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

Bulgaria DZI Mathematics Study Tips from Top Performers

1Drill identities, Vieta, and quadratic inequalities until the algebra is automatic — they underpin functions and calculus items.

2For ПП, practise derivatives, definite integrals and extrema with full working; official Module 2 tasks are constructed-response, not MCQ.

3Keep a formula sheet in your own words for sequences, trig (including cosine rule), circle equations, and solid-geometry volumes — then check it against released МОН materials.

4Work probability without replacement and combinatorics with a tree or counting argument, not a memorised fraction.

5After MCQ concept work, sit a timed released МОН PDF in Bulgarian: this bank builds recognition, not the official four-hour written technique.

Frequently Asked Questions

Is the official Bulgaria DZI Mathematics exam a multiple-choice test in English?

No. The official paper is a written, anonymous Bulgarian-language examination mixing closed and constructed-response tasks. This bank is an English-language MCQ study adaptation only — not an official format simulation.

What is the difference between ООП and ПП DZI Mathematics?

ООП (общообразователна подготовка) assesses general-education mathematics. ПП (профилирана подготовка) is the profiled paper for students who studied Mathematics as a profile subject in grades XI–XII; it includes analysis (derivatives, integrals, extrema) plus geometry, practical mathematics, and probability/data analysis. The second compulsory 2026 Mathematics sitting is the profiled paper for those candidates.

When is DZI Mathematics in 2026?

The second compulsory ДЗИ (profiled subject) is Friday 22 May 2026, starting at 08:30. By-choice ДЗИ papers run in the 26 May – 2 June 2026 window. Confirm any August–September resit dates on the МОН calendar.

How long is the exam and what is the pass mark?

Four astronomical hours (240 minutes). Scripts are scored 0–100 points. Среден 3.00 begins at 30/100 on the unified DZI scale published by МОН.

Is there an exam fee?

No published sitting fee for regular school candidates; ДЗИ is a state school-leaving examination administered by МОН through the school. External or validation pathways are not a published Mathematics fee in this metadata.

100+ Free Bulgaria DZI Mathematics Practice Questions

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