100+ Free Bulgaria NVO Grade 7 Mathematics Practice Questions

Prepare for the Bulgaria National External Assessment Grade 7 Mathematics (НВО по математика в края на VII клас) exam with instant access — no signup required.

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2026 Statistics

Key Facts: Bulgaria NVO Grade 7 Mathematics Exam

24 tasks

Official 2026 Grade 7 mathematics NVO: 14 structured, 7 short free-response, 3 extended free-response

МОН model of NVO mathematics at the end of VII клас 2025–2026 (публ. 12.02.2026); МОН/BTA sitting brief 16.06.2026

180 minutes

Two modules of 90 minutes each (Part I 90 min, Part II 90 min); start 09:00 on 19 June 2026

МОН Grade 7 mathematics model 2025–2026; Order РД09-2074/26.08.2025

100 points

Maximum score reported as points only (Module 1: 65; Module 2: 35), not converted to a school grade

МОН Grade 7 mathematics model §5; Наредба № 11, чл. 9, ал. 5

Math-only 2026

Grade 7 science-integration items were withdrawn; 24 entirely mathematical tasks in the February model and June paper

МОН press statement 8 January 2026 (BTA); model публ. 12.02.2026

VIII клас ranking

NVO mathematics points are a балообразуващ element for secondary-school admission, not a diploma exam

Наредба № 11, чл. 44; Наредба № 10 on school organisation and admission

Free 100-question English MCQ study bank for Bulgaria NVO Grade 7 Mathematics. Official 2026 exam: 24 Bulgarian written tasks, 180 minutes (two 90-minute modules), 0–100 points for gymnasium ranking, 19 June 2026 at 09:00. Science integration withdrawn. Not an official format simulation; no published candidate fee.

Sample Bulgaria NVO Grade 7 Mathematics Practice Questions

Try these sample questions to test your Bulgaria NVO Grade 7 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which of the following numbers is divisible by 9?

A.232

B.233

C.234

D.235

Explanation: A number is divisible by 9 if the sum of its digits is divisible by 9. For 234, 2 + 3 + 4 = 9, which is divisible by 9, so 234 = 9 × 26.

2What is the value of 2/3 + 1/6?

A.1/2

B.3/9

C.7/6

D.5/6

Explanation: Write 2/3 as 4/6 so both fractions share the denominator 6. Then 4/6 + 1/6 = 5/6. Only the numerators are added once the denominators match.

3What is 20% of 150?

A.15

B.30

C.20

D.50

Explanation: 20% means 20/100 = 1/5. Then (1/5) × 150 = 30. Equivalently, 0.20 × 150 = 30.

4Compute 3.6 ÷ 0.4.

A.0.9

B.90

C.1.44

D.9

Explanation: 3.6 ÷ 0.4 = 36 ÷ 4 = 9 after multiplying both numbers by 10.

5What is −8 − (−5)?

A.−13

B.−3

C.3

D.13

Explanation: Subtracting a negative is adding the opposite: −8 − (−5) = −8 + 5 = −3.

6Simplify 2³ × 2².

A.16

B.64

C.12

D.32

Explanation: For equal bases, add the exponents: 2³ × 2² = 2⁵ = 32.

7If 3 : 5 = x : 40, what is x?

A.8

B.24

C.15

D.120

Explanation: The proportion 3/5 = x/40 gives 5x = 120, so x = 24. Equivalently, 40 ÷ 5 = 8 and 3 × 8 = 24.

8What is the arithmetic mean of 4, 10 and 16?

A.8

B.12

C.30

D.10

Explanation: The mean is (4 + 10 + 16)/3 = 30/3 = 10.

9A square has side length 9 cm. What is its perimeter?

A.18 cm

B.36 cm

C.27 cm

D.81 cm

Explanation: Perimeter of a square is 4a = 4 × 9 = 36 cm.

10A triangle has base 10 cm and corresponding height 6 cm. What is its area?

A.16 cm²

B.60 cm²

C.15 cm²

D.30 cm²

Explanation: Area of a triangle is (1/2) × base × height = (1/2) × 10 × 6 = 30 cm². The height must be the one drawn to the chosen base, which is what "corresponding height" means.

About the Bulgaria NVO Grade 7 Mathematics Exam

Bulgaria's National External Assessment (НВО) in mathematics at the end of Grade 7 is a compulsory written assessment administered by МОН. It diagnoses attainment against the Grade 5–7 mathematics programmes and supplies a 0–100 point score used in ranking for secondary-school (VIII клас) admission. It is not a diploma exam. The official 2026 paper (19 June 2026, 09:00) lasted 180 minutes and contained 24 Bulgarian-language tasks. After a 2025 plan to integrate six natural-science items, МОН withdrew that element for Grade 7 (8 January 2026); the February 2026 model and the June sitting were mathematics-only. This free English MCQ bank trains the same content before students practise official Bulgarian constructed-response items.

Assessment

Written НВО mathematics at the end of VII клас. Two 90-minute modules (180 minutes total). Candidates may use the official formula sheet. Module 1 is scored out of 65 points; Module 2 out of 35; maximum 100 points reported as a quantitative score (not a school grade). The 2026 model covers Numbers/Algebra, Figures and solids/Measurement, Probability and statistics, and Logical knowledge/Modelling from the Grade 5–7 programmes. Integrated science items were withdrawn for Grade 7 in January 2026; the 19 June 2026 paper was 24 entirely mathematical tasks. This bank does not simulate short-answer or extended-response marking.

Time Limit

180 minutes (two parts of 90 minutes). 2026 main sitting: Friday 19 June 2026, 09:00. Results announced by 1 July 2026 inclusive.

Passing Score

No published pass/fail cut score. Results are 0–100 points only (Наредба № 11) and feed VIII клас admission ranking together with NVO Bulgarian and certificate grades (Наредба № 10). Typical gymnasium бал formulas double or triple the NVO mathematics points.

Exam Fee

No published candidate tariff. Grade 7 NVO is part of compulsory public schooling; regular school candidates sit through their school with no separate exam fee listed by МОН. (Министерство на образованието и науката (МОН) — Ministry of Education and Science of the Republic of Bulgaria)

Bulgaria NVO Grade 7 Mathematics Exam Content Outline

Study emphasis ~25%

Numbers and algebra

Rationals, percents, identities, abbreviated multiplication, and factoring.

Study emphasis ~15%

Linear equations and inequalities

ax + b = 0, |ax + b| = c, inequalities, and modelling.

Study emphasis ~25%

Plane geometry

Triangles, Pythagoras, parallelograms, trapezoids, polygons, and circles.

Study emphasis ~15%

Measurement and solids

Area, perimeter, prisms, pyramids, cylinders, cones, and spheres.

Study emphasis ~20%

Data, probability, ratios, modelling

Diagrams, mean, probability, proportion, and coordinate-plane reasoning.

How to Pass the Bulgaria NVO Grade 7 Mathematics Exam

What You Need to Know

Passing score: No published pass/fail cut score. Results are 0–100 points only (Наредба № 11) and feed VIII клас admission ranking together with NVO Bulgarian and certificate grades (Наредба № 10). Typical gymnasium бал formulas double or triple the NVO mathematics points.
Assessment: Written НВО mathematics at the end of VII клас. Two 90-minute modules (180 minutes total). Candidates may use the official formula sheet. Module 1 is scored out of 65 points; Module 2 out of 35; maximum 100 points reported as a quantitative score (not a school grade). The 2026 model covers Numbers/Algebra, Figures and solids/Measurement, Probability and statistics, and Logical knowledge/Modelling from the Grade 5–7 programmes. Integrated science items were withdrawn for Grade 7 in January 2026; the 19 June 2026 paper was 24 entirely mathematical tasks. This bank does not simulate short-answer or extended-response marking.
Time limit: 180 minutes (two parts of 90 minutes). 2026 main sitting: Friday 19 June 2026, 09:00. Results announced by 1 July 2026 inclusive.
Exam fee: No published candidate tariff. Grade 7 NVO is part of compulsory public schooling; regular school candidates sit through their school with no separate exam fee listed by МОН.

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 NVO Grade 7 Mathematics Study Tips from Top Performers

1Master abbreviated-multiplication identities (a ± b)² and a² − b², then factoring that reverses them — these appear in both MCQ and short-answer modules.

2For right triangles, know Pythagorean triples, the 30°–60°–90° side ratios, and that the median to the hypotenuse is half the hypotenuse.

3Practise triangle inequality and isosceles cases where one ratio of sides is impossible (a common Grade 7 trap).

4Work diagrams (bar, pie, tables) for percents, ratios, and arithmetic mean without a calculator.

5After MCQ concept work, practise official Bulgarian short-answer and 3-task extended papers under two 90-minute modules — MCQs build recognition, not written argumentation.

Frequently Asked Questions

Is the official Grade 7 NVO mathematics exam a multiple-choice test?

Only in part. The 2026 paper has 24 tasks: 14 four-option structured items, 7 short free-response items, and 3 extended constructed-response items. Official language is Bulgarian. This bank is an English MCQ study adaptation — not an official format simulation.

Did the 2026 Grade 7 maths NVO include integrated science tasks?

No. МОН announced on 8 January 2026 that Grade 7 mathematics would have 24 entirely mathematical tasks. The February 2026 model (публ. 12.02.2026) and the 19 June 2026 paper followed that math-only structure. Grade 10 NVO mathematics still included integrated science items in 2026.

When was the 2026 Grade 7 mathematics NVO?

Friday 19 June 2026, start 09:00, duration 180 minutes in two 90-minute parts. МОН published the 2026 mathematics test on 19.06.2026. Results were due by 1 July 2026 inclusive.

How is Grade 7 NVO mathematics scored?

A maximum of 100 points (Module 1: 65; Module 2: 35). Under Наредба № 11 the score is not converted to a 2–6 school grade. It is a ranking element for VIII клас admission under Наредба № 10, usually combined with NVO Bulgarian and two certificate subjects.

Is there an exam fee?

No published candidate tariff. Grade 7 NVO is part of compulsory public schooling; regular school candidates sit through their school.

100+ Free Bulgaria NVO Grade 7 Mathematics Practice Questions

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