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Sample Moldova Bacalaureat Mathematics Practice Questions

Try these sample questions to review concepts for the Moldova Bacalaureat Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 99+ question experience with AI tutoring.

1Simplify the real numerical expression: E = (sqrt(3) + 1) / (sqrt(3) - 1) - (sqrt(3) - 1) / (sqrt(3) + 1).
A.sqrt(3)
B.2*sqrt(3)
C.4
D.4*sqrt(3)
Explanation: To simplify E, find a common denominator: ((sqrt(3) + 1)^2 - (sqrt(3) - 1)^2) / ((sqrt(3) - 1)(sqrt(3) + 1)). The denominator is (sqrt(3))^2 - 1^2 = 3 - 1 = 2. The numerator simplifies using the identity (a + b)^2 - (a - b)^2 = 4ab: here a = sqrt(3) and b = 1, so the numerator is 4 * sqrt(3) * 1 = 4*sqrt(3). Dividing by 2 yields 4*sqrt(3) / 2 = 2*sqrt(3).
2Write the complex number z = (1 + 7i) / (3 - 4i) in standard algebraic form a + bi.
A.1 - i
B.1 + i
C.-1 + i
D.-1 - i
Explanation: Multiply both the numerator and denominator by the complex conjugate of the denominator, which is 3 + 4i: z = ((1 + 7i)(3 + 4i)) / ((3 - 4i)(3 + 4i)). Denominator = 3^2 + (-4)^2 = 9 + 16 = 25. Numerator = 3 + 4i + 21i + 28i^2 = 3 + 25i - 28 = -25 + 25i. Therefore, z = (-25 + 25i) / 25 = -1 + i.
3Compute the modulus of the complex number z = (3 - 4i) * (1 + i*sqrt(3)).
A.10
B.5
C.5*sqrt(3)
D.20
Explanation: Using the multiplicative property of the complex modulus, |z1 * z2| = |z1| * |z2|. For z1 = 3 - 4i, |z1| = sqrt(3^2 + (-4)^2) = sqrt(9 + 16) = sqrt(25) = 5. For z2 = 1 + i*sqrt(3), |z2| = sqrt(1^2 + (sqrt(3))^2) = sqrt(1 + 3) = sqrt(4) = 2. Thus, |z| = 5 * 2 = 10.
4Evaluate the exact value of: E = log_2(24) - log_2(3) + log_3(root[4](27)).
A.2
B.3
C.7/2
D.15/4
Explanation: By logarithmic quotient rules, log_2(24) - log_2(3) = log_2(24/3) = log_2(8) = 3. Next, write the radical as a fractional exponent: root[4](27) = (3^3)^(1/4) = 3^(3/4). Therefore, log_3(3^(3/4)) = 3/4. Summing the two components gives 3 + 3/4 = 15/4 (or 3.75).
5In an arithmetic progression (a_n), the first term is a_1 = 4 and the common difference is d = 3. Find the sum of the first 20 terms, S_20.
A.620
B.650
C.680
D.1300
Explanation: The sum formula for the first n terms of an arithmetic progression is S_n = (n/2) * [2*a_1 + (n - 1)*d]. For n = 20, a_1 = 4, and d = 3: S_20 = (20/2) * [2*(4) + (20 - 1)*(3)] = 10 * [8 + 19 * 3] = 10 * [8 + 57] = 10 * 65 = 650.
6Find the sum of the convergent infinite geometric series with first term b_1 = 12 and common ratio q = 1/3.
A.14
B.16
C.18
D.24
Explanation: For an infinite geometric progression with |q| < 1, the sum is given by S = b_1 / (1 - q). Here b_1 = 12 and q = 1/3, so S = 12 / (1 - 1/3) = 12 / (2/3) = 12 * (3/2) = 18.
7Determine all real values of the parameter m for which the quadratic equation x^2 - 2(m - 1)x + (m + 5) = 0 has two equal real roots.
A.m in {-1, 4}
B.m in {1, -4}
C.m in {-2, 3}
D.m in {0, 5}
Explanation: A quadratic equation has two equal real roots if and only if its discriminant equals zero: Delta = [ -2(m - 1) ]^2 - 4(1)(m + 5) = 0. Simplifying the reduced discriminant Delta' = (m - 1)^2 - (m + 5) = m^2 - 2m + 1 - m - 5 = m^2 - 3m - 4 = 0. Factoring gives (m - 4)(m + 1) = 0, which yields m = 4 and m = -1.
8Solve the system of linear inequalities in R: 2x - 5 <= 3x + 1 and (x + 4)/2 > 1 - x.
A.[-6, +infinity)
B.(-infinity, -6]
C.(-infinity, -2/3)
D.(-2/3, +infinity)
Explanation: Solve each inequality separately: 1) 2x - 5 <= 3x + 1 implies -x <= 6, so x >= -6, which gives [-6, +infinity). 2) Multiply (x + 4)/2 > 1 - x by 2 to get x + 4 > 2 - 2x, so 3x > -2, which gives x > -2/3, i.e., (-2/3, +infinity). The intersection of [-6, +infinity) and (-2/3, +infinity) is (-2/3, +infinity).
9Compute the exact value of the complex power: W = ((1 + i*sqrt(3)) / (1 - i))^12.
A.64
B.64i
C.-64
D.-64i
Explanation: Convert both numerator and denominator into polar form: 1 + i*sqrt(3) = 2 * e^(i*pi/3), so (1 + i*sqrt(3))^12 = 2^12 * e^(i*12*pi/3) = 4096 * e^(i*4*pi) = 4096 * 1 = 4096. For the denominator: 1 - i = sqrt(2) * e^(-i*pi/4), so (1 - i)^12 = (sqrt(2))^12 * e^(-i*12*pi/4) = 2^6 * e^(-i*3*pi) = 64 * (cos(-3*pi) + i*sin(-3*pi)) = 64 * (-1) = -64. Dividing gives W = 4096 / (-64) = -64.
10Solve the logarithmic equation: log_2(x) + log_4(x) + log_16(x) = 7.
A.16
B.8
C.32
D.64
Explanation: Express all logarithms in base 2 using the change-of-base formula log_(a^k)(x) = (1/k) * log_a(x): log_4(x) = (1/2)*log_2(x) and log_16(x) = (1/4)*log_2(x). Substituting these into the equation yields: log_2(x) * (1 + 1/2 + 1/4) = 7. Compute the sum inside parentheses: 1 + 1/2 + 1/4 = 7/4. Thus, (7/4) * log_2(x) = 7, which gives log_2(x) = 4. Hence, x = 2^4 = 16.

About the Moldova Bacalaureat Mathematics Exam

Examenul Național de Bacalaureat — Matematică is a current Moldova national Bacalaureat assessment administered by ANCE. Published study domains include Algebra and number systems, Functions and analysis, Geometry, Combinatorics and probability. This local bank is an independent English-language MCQ study adaptation. It is not an official translation, not an official-format simulation, and does not replace practice with the official written tasks.

Exam sponsor: National Agency for Curriculum and Evaluation (ANCE), Ministry of Education and Research of the Republic of Moldova. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official assessment: written constructed-response mathematics paper; the 2026 base-session form contains 12 numbered multi-part tasks. This local bank is an independent English-language MCQ study adaptation. It is not an official translation, not an official-format simulation, and does not replace practice with the official written tasks.

Time Limit

180 minutes

Passing Score

A final Bacalaureat subject mark of at least 5.00 on the 10-point scale is required; the raw-point conversion is published with the official marking scheme.

Exam / Certification Fees

ANCE does not publish a separate per-paper fee for school-registered candidates.

Exam sponsor website

Fees, 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.

Official percentage not published

Algebra and number systems

Real and complex numbers, equations, inequalities, sequences, and algebraic manipulation.

Official percentage not published

Functions and analysis

Functions, limits, derivatives, integrals, graph analysis, and applications.

Official percentage not published

Geometry

Plane, analytic, trigonometric, and solid geometry.

Official percentage not published

Combinatorics and probability

Counting, binomial methods, probability, and elementary statistics.

Preparing for the Moldova Bacalaureat Mathematics Exam

What You Need to Know

  • Passing score: A final Bacalaureat subject mark of at least 5.00 on the 10-point scale is required; the raw-point conversion is published with the official marking scheme.
  • Assessment: Official assessment: written constructed-response mathematics paper; the 2026 base-session form contains 12 numbered multi-part tasks. This local bank is an independent English-language MCQ study adaptation. It is not an official translation, not an official-format simulation, and does not replace practice with the official written tasks.
  • Time limit: 180 minutes
  • Exam / certification fees: ANCE does not publish a separate per-paper fee for school-registered candidates. Official sources

Using Our Practice Resources

  • Work through all 99 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Moldova Bacalaureat Mathematics: Suggested Study Strategy

1Use the official ANCE program as the checklist for topics and competencies.
2After MCQ review, practise the official written task types under the published time conditions.
3Check answers against official terminology, source texts, diagrams, or calculations rather than memorizing option positions.

Frequently Asked Questions

Is this the official exam format?

No. This local bank is an independent English-language MCQ study adaptation. It is not an official translation, not an official-format simulation, and does not replace practice with the official written tasks.

What language is the official assessment offered in?

Confirmed 2026 paper language code(s): ro, ru, en, fr.

How many questions are on the official paper?

The official program does not promise a fixed future item count; consult the current ANCE paper and marking scheme.