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Free Practice Questions for EN VIII Mathematics

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Sample EN VIII Mathematics Practice Questions

Try these sample questions to review concepts for the EN VIII Mathematics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 102+ question experience with AI tutoring.

1What is the value of the calculation 48 - 8 : 2 + 3 * 4?
A.56
B.32
C.92
D.44
Explanation: According to the order of operations, division and multiplication must be performed before subtraction and addition. First, calculate 8 : 2 = 4 and 3 * 4 = 12. Then evaluate left-to-right: 48 - 4 + 12 = 44 + 12 = 56.
2What is the greatest common divisor (gcd / cmmdc) of the numbers 72 and 108?
A.18
B.36
C.72
D.216
Explanation: Prime factorize both integers: 72 = 2³ * 3² and 108 = 2² * 3³. The greatest common divisor takes common prime factors at their lowest powers: gcd(72, 108) = 2² * 3² = 4 * 9 = 36.
3How many three-digit natural numbers of the form 4a2 in base 10 are divisible by 3?
A.3
B.4
C.5
D.6
Explanation: A natural number is divisible by 3 if and only if the sum of its digits is a multiple of 3. Here the sum of digits is 4 + a + 2 = 6 + a. Since 6 is divisible by 3, a must be a multiple of 3. Because a is a decimal digit, a can be 0, 3, 6, or 9, giving exactly 4 valid numbers: 402, 432, 462, and 492.
4What is the result of the calculation (3/4 - 1/6) : 7/12?
A.1/2
B.7/12
C.1
D.49/144
Explanation: Find a common denominator for the fractions inside the parentheses: 12. Then 3/4 = 9/12 and 1/6 = 2/12, so 9/12 - 2/12 = 7/12. Dividing 7/12 by 7/12 yields (7/12) * (12/7) = 1.
5If sqrt(3x - 5) = 4, what is the value of the real number x?
A.3
B.5
C.7
D.9
Explanation: Square both sides of the equation to eliminate the radical: 3x - 5 = 4² = 16. Add 5 to both sides to get 3x = 21, and divide by 3 to find x = 7. Checking in the radical gives sqrt(3*7 - 5) = sqrt(21 - 5) = sqrt(16) = 4, confirming x = 7.
6A school buys 260 notebooks and sets aside 25% for one class. How many notebooks does that class receive?
A.50
B.60
C.65
D.75
Explanation: 25% is one quarter. The class receives 260/4 = 65 notebooks.
7A bicycle costs 200 lei. The price increases by 10%, and one month later the new price is discounted by 10%. What is the final price of the bicycle?
A.198 lei
B.200 lei
C.202 lei
D.190 lei
Explanation: After the 10% increase, the price becomes 200 * (1 + 0.10) = 200 * 1.10 = 220 lei. When the 220 lei price is reduced by 10%, the discount is 10% of 220 = 22 lei. The final price is 220 - 22 = 198 lei (or 200 * 1.10 * 0.90 = 200 * 0.99 = 198 lei).
8If 6 identical machines produce 180 components in 4 hours, how many components will 9 such machines produce in the same time of 4 hours?
A.240
B.270
C.300
D.360
Explanation: Since time is constant (4 hours), production is directly proportional to the number of machines. One machine produces 180 / 6 = 30 components in 4 hours. Therefore, 9 machines will produce 9 * 30 = 270 components.
9Consider sets A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}. What is the number of elements in the set difference A \ B?
A.1
B.2
C.3
D.5
Explanation: The set difference A \ B contains all elements that belong to A but do not belong to B. The elements in A are 1, 2, 3, 4, 5. Removing the common elements {3, 4, 5} leaves {1, 2}. Thus, the cardinal of A \ B is 2.
10What is the intersection of the real intervals [-3, 5) and (-1, 8]?
A.[-3, 8]
B.(-1, 5)
C.[-1, 5)
D.(-1, 5]
Explanation: The intersection [-3, 5) ∩ (-1, 8] consists of real numbers x satisfying both -3 <= x < 5 and -1 < x <= 8. The lower bound must satisfy x > -1 (strict open interval at -1). The upper bound must satisfy x < 5 (strict open interval at 5). Hence, the intersection is (-1, 5).

About the EN VIII Mathematics Exam

Independent practice for Evaluarea Națională pentru absolvenții clasei a VIII-a — Matematică. Independent English-language MCQ study adaptation. It is not an official translation, an official-format simulation, or a substitute for Romanian-language reading and writing, full worked solutions, or oral and practical preparation. Write complete justifications and geometric proofs; selecting an answer cannot assess the worked-response part.

Exam sponsor: Ministerul Educației și Cercetării / Centrul Național pentru Curriculum și Evaluare (CNCE). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

18 questions

Time Limit

120 minutes (2 hours)

Passing Score

No universal pass mark for this placement assessment; results contribute to high-school admission under the applicable admission rules.

Exam / Certification Fees

Free

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.

Not officially weighted here

Numbers and algebra

Real numbers, expressions, equations, functions, ratios and proportions.

Not officially weighted here

Geometry

Plane and spatial figures, reasoning, measurement, area and volume.

Not officially weighted here

Data and probability

Tables, graphs, frequency, averages, median, mode and elementary probability.

Preparing for the EN VIII Mathematics Exam

What You Need to Know

  • Passing score: No universal pass mark for this placement assessment; results contribute to high-school admission under the applicable admission rules.
  • Exam length: 18 questions
  • Time limit: 120 minutes (2 hours)
  • Exam / certification fees: Free Official sources

Using Our Practice Resources

  • Work through all 102 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

EN VIII Mathematics: Suggested Study Strategy

1Write complete justifications and geometric proofs; selecting an answer cannot assess the worked-response part.
2Use official 2026 models and marking schemes to practise the actual response formats.
3Explain each answer independently before consulting feedback.

Frequently Asked Questions

Does this reproduce the official paper?

Independent English-language MCQ study adaptation. It is not an official translation, an official-format simulation, or a substitute for Romanian-language reading and writing, full worked solutions, or oral and practical preparation.

Who takes the assessment?

Eligible grade-8 graduates take Romanian and mathematics, with a mother-tongue paper where applicable. The written papers have a standard duration of two hours.

What should I practise beyond MCQs?

Write complete justifications and geometric proofs; selecting an answer cannot assess the worked-response part.