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100+ Free NVO Grade 4 Mathematics Practice Questions

Prepare for the Bulgaria National External Assessment (NVO) Grade 4 Mathematics exam with instant access — no signup required.

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2026 Statistics

Key Facts: NVO Grade 4 Mathematics Exam

25 tasks / 100 points

Official 2026 Grade 4 mathematics NVO: 16 three-option items, 4 short answers, 5 extended tasks (task 25 in parts A–C)

MON, NVO Grade 4 Mathematics test and key published 04.06.2026

4 June 2026, 10:00

2025/2026 Grade 4 mathematics NVO sitting (60 minutes; SEN may receive +30 minutes)

MON Order No. РД09-2074/26.08.2025; school NVO notices

84–100 points = Excellent (6)

MON Grade 4 NVO conversion: Poor ≤29.75; Fair 30–51.50; Good 51.75–62.25; Very good 62.50–83.75; Excellent 84–100

MON, Grade 4 NVO points-to-grade scale; Ordinance No. 11

Official language: Bulgarian

This 100-question bank is an English four-option MCQ study adaptation only, not an official-format simulation

MON NVO Grade 4 mathematics papers; OpenExamPrep practice policy

Euro since 1 Jan 2026

Bulgaria adopted the euro on 1 January 2026; the 2026 paper had no money items, and this bank uses EUR not BGN

Euro adoption 1 January 2026; MON 2026 Grade 4 mathematics test

No published fee

Compulsory school assessment at the student's school; not a priced candidate exam

MON NVO Grade 4 organisation notices

Free 100-question English MCQ study bank for Bulgaria NVO Grade 4 Mathematics. Official 2026 exam: 25 Bulgarian mixed selected-response and constructed-response tasks, 100 points, 60 minutes, 4 June 2026 at 10:00. Excellent is 84–100 points. Not an official format simulation; no published fee for regular school candidates.

Sample NVO Grade 4 Mathematics Practice Questions

Try these sample questions to test your NVO Grade 4 Mathematics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which number is six million three hundred thousand and forty-five?
A.6 030 045
B.6 300 045
C.6 300 405
D.6 345 000
Explanation: Six million is 6 000 000, three hundred thousand is 300 000, and forty-five is 45. Adding these parts gives 6 300 045.
2In the number 4 582 167, what is the value of the digit 8?
A.8
B.800
C.8 000
D.80 000
Explanation: In 4 582 167 the digits from the left are millions, hundred thousands, ten thousands, thousands, hundreds, tens, and ones. The 8 is in the ten-thousands place, so its value is 80 000.
3What number is 7 000 000 + 40 000 + 12?
A.7 400 012
B.7 040 012
C.7 041 200
D.7 000 412
Explanation: 7 000 000 + 40 000 = 7 040 000. Adding 12 gives 7 040 012. The ten-thousands digit is 4 and the thousands digit stays 0.
4Round 36 518 to the nearest thousand.
A.36 000
B.36 500
C.37 000
D.40 000
Explanation: The thousands digit of 36 518 is 6, and the next digit (hundreds) is 5. When that digit is 5 or more, round the thousands up, so 36 518 rounds to 37 000.
5Which comparison is true?
A.4 099 > 4 109
B.7 650 < 7 560
C.9 307 > 9 297
D.12 080 = 12 008
Explanation: Compare 9 307 and 9 297 from the left. Both have thousands digit 9. In the hundreds place 3 is greater than 2, so 9 307 > 9 297.
6Which number is the greatest?
A.58 099
B.58 909
C.58 990
D.57 999
Explanation: All but 57 999 start with 58 thousand. Among 58 099, 58 909, and 58 990, the hundreds digits are 0, 9, and 9. Then 58 990 has tens digit 9 while 58 909 has tens digit 0, so 58 990 is greatest.
7Which list shows 4 203, 4 032, 4 320, and 4 023 in order from smallest to largest?
A.4 023, 4 032, 4 203, 4 320
B.4 032, 4 023, 4 203, 4 320
C.4 203, 4 023, 4 032, 4 320
D.4 320, 4 203, 4 032, 4 023
Explanation: All four numbers are 4 thousands. Compare the hundreds: 4 023 and 4 032 have 0 hundreds, then 4 203 has 2, and 4 320 has 3. Between 4 023 and 4 032 the tens digit 2 is less than 3, so the order is 4 023, 4 032, 4 203, 4 320.
8Which of these numbers is even?
A.4 571
B.4 518
C.4 563
D.4 509
Explanation: A whole number is even when its ones digit is 0, 2, 4, 6, or 8. Only 4 518 ends in 8, so it is even.
9What is 3 607 + 2 251?
A.5 758
B.5 858
C.5 868
D.6 858
Explanation: Add by place: 7 + 1 = 8 ones, 0 + 5 = 5 tens, 6 + 2 = 8 hundreds, 3 + 2 = 5 thousands. The sum is 5 858.
10What is 15 400 + 4 600?
A.19 000
B.19 100
C.20 000
D.21 000
Explanation: 15 400 + 4 600 = 20 000 because 400 + 600 = 1 000, and 15 000 + 4 000 + 1 000 = 20 000.

About the NVO Grade 4 Mathematics Exam

NVO Grade 4 Mathematics is Bulgaria's national external assessment at the end of the initial stage of education (начален етап, IV клас), administered by the Ministry of Education and Science. The official 2026 paper (4 June 2026, 10:00) had 25 Bulgarian-language tasks totalling 100 points in 60 minutes, mixing three-option selected-response items with short and extended constructed responses. It measures Grade 1–4 mathematics: whole numbers and operations, measurement, geometry, tables, and word problems. Results convert to school grades on the Ordinance No. 11 six-point scale using MON's Grade 4 points table. This free English four-option MCQ bank trains the same content before students practise official Bulgarian papers; it is not an official-format simulation.

Assessment

Official NVO Grade 4 Mathematics is a Bulgarian paper-based test of 25 tasks scored 0–100 points. In 2026, tasks 1–16 were three-option selected-response (3 points each), tasks 17–20 short free-response (4 points each), and tasks 21–25 extended constructed response (5–6 points per scored part; task 25 had parts A, B and C). Content covers Grade 1–4 mathematics: natural numbers to millions, the four operations, order of operations and properties, simple fractions, measurement (length, mass, capacity, time), geometry (angles, rectangles/squares, circles, solids), perimeter and area of rectangles/squares, tables/charts, and multi-step word problems. This 100-question bank is an English four-option MCQ study adaptation — it does not simulate the official 3-option items or constructed-response writing.

Time Limit

60 minutes for the official paper. The 2026 sitting was Thursday 4 June 2026 at 10:00 (Order No. РД09-2074/26.08.2025). Students with special educational needs may receive 30 extra minutes.

Passing Score

0–100 points converted to six-point grades under Ordinance No. 11 using MON's Grade 4 NVO scale: Poor (2) ≤29.75; Fair (3) 30–51.50; Good (4) 51.75–62.25; Very good (5) 62.50–83.75; Excellent (6) 84–100. Not a single MCQ percent cut score.

Exam Fee

No published candidate fee; NVO at the end of grade 4 is a compulsory school assessment taken at the student's school. External-candidate arrangements, if any, are school/authority-specific and not a published fee. (Ministry of Education and Science of the Republic of Bulgaria (Министерство на образованието и науката, МОН))

NVO Grade 4 Mathematics Exam Content Outline

Study emphasis ~40%

Natural numbers and four operations

Place value to millions, compare/order, add, subtract, multiply, divide, and missing-number equations.

Study emphasis ~12%

Order of operations and properties

Mixed expressions, parentheses, and the distributive property as on NVO-4 selected-response items.

Study emphasis ~10%

Fractions and simple decimals

Same-denominator fractions, a fraction of a number, and tenths in measurement or euro money.

Study emphasis ~18%

Measurement, time, and money

Length, mass, capacity, time, and euro/cent word problems (euro since 1 January 2026).

Study emphasis ~20%

Geometry, area, tables and charts

Angles, rectangles/squares, circles, solids, perimeter/area, and simple tables or bar charts.

How to Pass the NVO Grade 4 Mathematics Exam

What You Need to Know

  • Passing score: 0–100 points converted to six-point grades under Ordinance No. 11 using MON's Grade 4 NVO scale: Poor (2) ≤29.75; Fair (3) 30–51.50; Good (4) 51.75–62.25; Very good (5) 62.50–83.75; Excellent (6) 84–100. Not a single MCQ percent cut score.
  • Assessment: Official NVO Grade 4 Mathematics is a Bulgarian paper-based test of 25 tasks scored 0–100 points. In 2026, tasks 1–16 were three-option selected-response (3 points each), tasks 17–20 short free-response (4 points each), and tasks 21–25 extended constructed response (5–6 points per scored part; task 25 had parts A, B and C). Content covers Grade 1–4 mathematics: natural numbers to millions, the four operations, order of operations and properties, simple fractions, measurement (length, mass, capacity, time), geometry (angles, rectangles/squares, circles, solids), perimeter and area of rectangles/squares, tables/charts, and multi-step word problems. This 100-question bank is an English four-option MCQ study adaptation — it does not simulate the official 3-option items or constructed-response writing.
  • Time limit: 60 minutes for the official paper. The 2026 sitting was Thursday 4 June 2026 at 10:00 (Order No. РД09-2074/26.08.2025). Students with special educational needs may receive 30 extra minutes.
  • Exam fee: No published candidate fee; NVO at the end of grade 4 is a compulsory school assessment taken at the student's school. External-candidate arrangements, if any, are school/authority-specific and not a published 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

NVO Grade 4 Mathematics Study Tips from Top Performers

1Practise reading and writing numbers to millions in words and digits, including zeros in the middle of a number.
2For 'n times as great' multiply; for Bulgarian-style 'decreased n times' divide — do not add or subtract n.
3In mixed expressions, do parentheses first, then multiplication and division from left to right, then addition and subtraction.
4Memorise length (10 mm = 1 cm, 10 cm = 1 dm, 10 dm = 1 m, 1000 m = 1 km), mass (1000 g = 1 kg, 1000 kg = 1 t), and time (60 minutes = 1 hour).
5For rectangles, area = length × width and perimeter = 2 × (length + width). For a square, side × side = area.
6After MCQ concept work, practise official Bulgarian papers (selected-response plus written solutions) under a 60-minute limit — MCQs build recognition, not constructed-response writing.

Frequently Asked Questions

Is the official NVO Grade 4 Mathematics exam a four-option English multiple-choice test?

No. The official paper is in Bulgarian. In 2026 it had 25 tasks: 16 three-option selected-response items plus short and extended constructed responses, scored 0–100 points in 60 minutes. This bank is an English four-option MCQ study adaptation — not an official format simulation.

When was NVO Grade 4 Mathematics in 2026?

Thursday 4 June 2026 at 10:00, under MON Order No. РД09-2074/26.08.2025. Bulgarian language and literature NVO for grade 4 was the previous day, 3 June 2026 at 10:00. MON published the 2026 mathematics test and key on 04.06.2026.

How is NVO Grade 4 Mathematics scored?

The paper totals 100 points. MON converts points to six-point grades under Ordinance No. 11 using the Grade 4 NVO scale: Poor (2) up to 29.75 points; Fair (3) 30–51.50; Good (4) 51.75–62.25; Very good (5) 62.50–83.75; Excellent (6) 84–100.

Should practice money problems use leva or euro?

Bulgaria adopted the euro on 1 January 2026. The official 2026 mathematics paper did not include money items. This study bank uses euro and cents for money word problems, not Bulgarian leva.

Is there an exam fee?

No published candidate fee. NVO at the end of grade 4 is a compulsory school assessment taken at the student's school. External-candidate arrangements, where they exist, are school/authority-specific.