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State Graduation Exam — Grade 11 (ГВЭ-11) (Russia)

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Key Facts: GVE-9 Exam

235 min

Standard exam duration for each written GVE-9 paper

FIPI

14 / 12 / 10

Mathematics task counts across 100, 200, and 300 variant series

FIPI

4 / 3 pts

Minimum primary points for grade 3 (100/200 vs 300 series)

Rosobrnadzor

Grade 9

Basic general education certification level (GIA-9)

Rosobrnadzor

ГВЭ-9 is held in written or oral form for specified groups of Grade 9 students. In 2026, written mathematics has 14, 12 or 10 tasks by variant series, and written Russian is usually a compressed exposition with a creative task scored out of 17. This independent bank is an English-language MCQ study adaptation of both subjects.

Sample GVE-9 Practice Questions

Try these sample questions to review concepts for the GVE-9 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Calculate the value of the numerical expression: 1/4 + 7/20. Express your answer as a decimal.
A.0.55
B.0.6
C.0.65
D.0.7
Explanation: To add fractions with different denominators, find the least common denominator. The least common multiple of 4 and 20 is 20. Convert 1/4 into twentieths: 1/4 = 5/20. Now add: 5/20 + 7/20 = 12/20. Simplify by dividing the numerator and denominator by 4: 12/20 = 3/5. As a decimal, 3/5 = 0.6.
2Evaluate the numerical expression: 4.8 - 1.6 * (-3).
A.-9.6
B.0
C.9.6
D.3.2
Explanation: Follow the standard order of operations (multiplication before subtraction). First multiply: 1.6 * (-3) = -4.8. Then subtract: 4.8 - (-4.8) = 4.8 + 4.8 = 9.6.
3Simplify the algebraic expression with powers: (a^5 * a^3) / a^6 for a != 0.
A.a^2
B.a^4
C.a^3
D.a^8
Explanation: Apply the laws of exponents: when multiplying powers with the same base, add their exponents: a^5 * a^3 = a^(5+3) = a^8. When dividing powers with the same base, subtract the exponent of the denominator: a^8 / a^6 = a^(8-6) = a^2.
4Find the sum of the rational numbers: (-5/12) + (7/18).
A.-1/6
B.1/36
C.-1/18
D.-1/36
Explanation: Find the least common denominator of 12 and 18, which is 36. Convert both fractions: -5/12 = -15/36 and 7/18 = 14/36. Add the numerators: -15/36 + 14/36 = (-15 + 14)/36 = -1/36.
5Write the decimal number 0.0054 in standard scientific notation (a * 10^n, where 1 <= a < 10).
A.54 * 10^-4
B.0.54 * 10^-2
C.5.4 * 10^-4
D.5.4 * 10^-3
Explanation: To write 0.0054 in scientific notation, move the decimal point 3 positions to the right so that the coefficient is 5.4 (which satisfies 1 <= 5.4 < 10). Shifting 3 places to the right requires multiplying by 10^-3: 5.4 * 10^-3.
6Calculate the exact numerical value of the expression: sqrt(18) * sqrt(2).
A.6
B.36
C.3 * sqrt(2)
D.12
Explanation: Use the property of radicals sqrt(a) * sqrt(b) = sqrt(a * b) for non-negative numbers: sqrt(18) * sqrt(2) = sqrt(18 * 2) = sqrt(36) = 6.
7Find the value of the quadratic polynomial 3x^2 - 2x + 5 when x = -2.
A.13
B.17
C.21
D.25
Explanation: Substitute x = -2 into the expression: 3*(-2)^2 - 2*(-2) + 5 = 3*(4) + 4 + 5 = 12 + 4 + 5 = 21.
8Calculate the value of the square root: sqrt(49/64). Express the result as a decimal.
A.0.75
B.0.875
C.0.825
D.0.775
Explanation: Take the square root of the numerator and denominator separately: sqrt(49/64) = sqrt(49) / sqrt(64) = 7/8. To convert 7/8 to a decimal: 7 / 8 = 0.875.
9Calculate the exact numerical value of the expression: (3*sqrt(5) - 2) * (3*sqrt(5) + 2).
A.49
B.43
C.37
D.41
Explanation: Use the difference of squares formula (a - b)(a + b) = a^2 - b^2. Here a = 3*sqrt(5) and b = 2. Compute a^2 = (3*sqrt(5))^2 = 3^2 * 5 = 9 * 5 = 45. Compute b^2 = 2^2 = 4. Therefore, 45 - 4 = 41.
10Perform the division of fractions: (5/8) / (15/16). Express the result in simplest form.
A.2/3
B.3/2
C.75/128
D.5/6
Explanation: To divide by a fraction, multiply by its reciprocal: (5/8) / (15/16) = (5/8) * (16/15). Cancel common factors: 5 and 15 reduce to 1 and 3; 16 and 8 reduce to 2 and 1. Thus, (1 * 2) / (1 * 3) = 2/3.

About the GVE-9 Exam

Independent practice for Russia's State Graduation Exam for Grade 9 (ГВЭ-9), the GIA-9 route for students with ОВЗ or disabilities and students in closed or penal institutions. This is an English-language MCQ study adaptation, not an official translation, an official paper or a simulation of the written exams. Its 100 reviewed questions cover basic mathematics, Russian grammar and punctuation, and the exposition and creative-task criteria.

Exam sponsor: Rosobrnadzor (Federal Service for Supervision in Education and Science) / FIPI. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Compulsory subjects are Russian and mathematics, each 235 minutes in written form. Mathematics has 14, 12 or 10 tasks depending on the variant series (100/200/300). Russian is usually a compressed exposition with a creative task (ИК1–ИК3, СК1–СК3 and literacy, maximum 17 points); other forms are complicated copying (500-series) and dictation (600-series). Rosobrnadzor's 25 February 2026 letter recommends the grade scales.

Time Limit

235 minutes per written examination; standard accommodation adds 1.5 hours

Passing Score

Grade «3»: Russian, at least 5 of 17 primary points; mathematics, at least 4 points (100- and 200-series) or 3 points (300-series), under Rosobrnadzor's 25 February 2026 recommendations; regional authorities approve the final scales.

Exam / Certification Fees

No examination fee: Part 8 of Article 59 of Federal Law No. 273-FZ prohibits charging students for state final certification (ГИА).

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.

28%

Mathematics: Arithmetic, Real Numbers & Expressions

Rational numbers, roots, powers, order of operations, algebraic identities and practical calculations.

22%

Mathematics: Equations, Inequalities, Geometry & Probability

Linear and quadratic equations, systems, inequalities, word problems, plane geometry and simple probability.

20%

Russian Language: Phonetics, Spelling & Morphology

Sounds and letters, spelling rules, parts of speech, word formation, vocabulary and phraseology.

16%

Russian Language: Syntax & Punctuation

Grammatical bases, one-member sentences, compound and complex sentences, and punctuation rules.

6%

Russian Language: Compressed Exposition & Creative Task

Criteria ИК1–ИК3 and СК1–СК3, compression techniques and how the source text is presented.

8%

GVE-9 Framework, Variant Series & Scoring

Variant series, task counts, grade scales and the 25 February 2026 recommendations.

Preparing for the GVE-9 Exam

What You Need to Know

  • Passing score: Grade «3»: Russian, at least 5 of 17 primary points; mathematics, at least 4 points (100- and 200-series) or 3 points (300-series), under Rosobrnadzor's 25 February 2026 recommendations; regional authorities approve the final scales.
  • Assessment: Compulsory subjects are Russian and mathematics, each 235 minutes in written form. Mathematics has 14, 12 or 10 tasks depending on the variant series (100/200/300). Russian is usually a compressed exposition with a creative task (ИК1–ИК3, СК1–СК3 and literacy, maximum 17 points); other forms are complicated copying (500-series) and dictation (600-series). Rosobrnadzor's 25 February 2026 letter recommends the grade scales.
  • Time limit: 235 minutes per written examination; standard accommodation adds 1.5 hours
  • Exam / certification fees: No examination fee: Part 8 of Article 59 of Federal Law No. 273-FZ prohibits charging students for state final certification (ГИА). 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

GVE-9: Suggested Study Strategy

1Review foundational operations with fractions, decimals, and negative numbers to secure initial correct answers in the first 4 math tasks.
2Practice identifying sentence parts and distinguishing homogeneous predicates from compound sentences to master Russian punctuation rules.
3Check the specific variant series (100, 200, or 300) recommended by your educational commission to focus on the exact task structure you will face.

Frequently Asked Questions

What is the difference between 100, 200, and 300 series variants in GVE-9?

FIPI provides different written mathematics papers: the 100-series (14 tasks) for most participants, the 200-series (12 tasks) for blind and visually impaired students, and the 300-series (10 tasks) for students with mental developmental delay on adapted programmes and some students with musculoskeletal impairments. The psychological-medical-pedagogical commission (ПМПК) may recommend a series.

What primary score is needed to pass GVE-9 mathematics?

Under Rosobrnadzor's 25 February 2026 recommendations, grade «3» requires at least 4 primary points on the 100- and 200-series papers and at least 3 points on the 300-series paper. Regional education authorities approve the final conversion scales.

Does GVE-9 include an oral examination option?

Yes. While the standard administration is written, an oral examination format with subject-specific prompt cards and distinct federal scoring recommendations is officially established for eligible participants based on PMPK medical-pedagogical commission determinations.