Free Practice Questions for Moldova Gymnasium Mathematics

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Sample Moldova Gymnasium Mathematics Practice Questions

Try these sample questions to review concepts for the Moldova Gymnasium Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 98+ question experience with AI tutoring.

1Evaluate the numerical expression: 18 - 3 * (4 + 2) + (-2)^3.

A.8

B.0

C.-8

D.-26

Explanation: Following the standard order of operations: first evaluate inside parentheses (4 + 2 = 6), then perform multiplication (3 * 6 = 18), compute powers ((-2)^3 = -8), and finally add and subtract from left to right: 18 - 18 + (-8) = 0 - 8 = -8.

2Calculate the exact numerical value of the expression: | -15 | - 2 * | 7 - 12 | + | -4 |^2.

A.21

B.11

C.-11

D.31

Explanation: Evaluate each absolute value: |-15| = 15, |7 - 12| = |-5| = 5, and |-4|^2 = 4^2 = 16. Substitute these into the expression: 15 - 2 * 5 + 16 = 15 - 10 + 16 = 5 + 16 = 21.

3What is the standard scientific notation of the decimal number 0.0000475?

A.4.75 × 10⁻⁴

B.47.5 × 10⁻⁶

C.4.75 × 10⁵

D.4.75 × 10⁻⁵

Explanation: To write a number in standard scientific notation a × 10^n, the coefficient a must satisfy 1 <= a < 10. Moving the decimal point 5 positions to the right places it after 4 (giving 4.75), which corresponds to multiplying by 10^(-5). Thus 0.0000475 = 4.75 × 10^(-5).

4Calculate the exact value of the expression: sqrt(196) - sqrt(81) + sqrt(256).

A.19

B.21

C.23

D.25

Explanation: Compute each square root of the perfect squares: sqrt(196) = 14, sqrt(81) = 9, and sqrt(256) = 16. Then perform the operations: 14 - 9 + 16 = 5 + 16 = 21.

5Expand and simplify the algebraic product using the difference of squares formula: (3x - 5)(3x + 5).

A.9x² − 25

B.9x² − 30x + 25

C.9x² + 25

D.6x² − 25

Explanation: Using the notable identity (a - b)(a + b) = a^2 - b^2 with a = 3x and b = 5: (3x)^2 - 5^2 = 9x^2 - 25.

6Expand and simplify the square of the binomial: (2a + 3b)^2.

A.4a² + 6ab + 9b²

B.4a² + 9b²

C.4a² + 12ab + 9b²

D.2a² + 12ab + 3b²

Explanation: Apply the square of a sum formula (u + v)^2 = u^2 + 2uv + v^2 with u = 2a and v = 3b: (2a)^2 + 2(2a)(3b) + (3b)^2 = 4a^2 + 12ab + 9b^2.

7Simplify the radical expression sqrt(72) by extracting all possible square factors from beneath the radical.

A.3√8

B.6√2

C.2√18

D.12√2

Explanation: Factor 72 into its largest perfect square factor: 72 = 36 * 2. Taking the square root gives sqrt(72) = sqrt(36 * 2) = sqrt(36) * sqrt(2) = 6*sqrt(2).

8Simplify the exponential expression and compute its final numerical value: (2^5 * 2^7) / (2^3)^3.

A.4

B.16

C.32

D.8

Explanation: In the numerator, add exponents for powers with the same base: 2^5 * 2^7 = 2^(5+7) = 2^12. In the denominator, multiply exponents: (2^3)^3 = 2^(3*3) = 2^9. Finally subtract exponents: 2^12 / 2^9 = 2^(12-9) = 2^3 = 8.

9Rationalize the denominator of the fraction 18 / sqrt(6) and state the result in simplest radical form.

A.6√3

B.√6

C.3√6

D.18√6

Explanation: Multiply both the numerator and the denominator by sqrt(6): (18 * sqrt(6)) / (sqrt(6) * sqrt(6)) = (18 * sqrt(6)) / 6. Divide the numerator coefficient 18 by 6 to get 3*sqrt(6).

10Rationalize the denominator and simplify: 12 / (sqrt(7) - sqrt(3)).

A.4(√7 + √3)

B.3(√7 + √3)

C.3(√7 − √3)

D.12(√7 + √3)

Explanation: Multiply numerator and denominator by the conjugate (sqrt(7) + sqrt(3)). The denominator becomes (sqrt(7))^2 - (sqrt(3))^2 = 7 - 3 = 4. The numerator is 12(sqrt(7) + sqrt(3)). Dividing 12 by 4 yields 3(sqrt(7) + sqrt(3)).

About the Moldova Gymnasium Mathematics Exam

This current national Grade 9 examination assesses number, algebra, functions, geometry, statistics, and probability through written mathematical work. The local bank is an independent English-language MCQ study adaptation.

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: a written mathematics paper requiring calculations, constructions, and multi-step solutions. This local bank is an independent English-language MCQ study adaptation, not an official translation or format simulation, and does not replace written solution practice.

Time Limit

120 minutes

Passing Score

A final 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

ANCE — official examination programs · Source checked 2026-09-23
ANCE — 2026 gymnasium mathematics paper · Source checked 2026-09-23
ANCE — 2026 gymnasium session announcement · Source checked 2026-09-23

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.