100+ Free Algerian BEM Practice Questions

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2026 Statistics

Key Facts: Algerian BEM Exam

19–21 May 2026

Official national BEM examination dates

Ministry of National Education timetable directive (20 April 2026)

3 languages

Arabic-, French-, and English-language subject papers

Ministry of National Education timetable

1,000 / 2,000 DZD

Registration fee (schooled vs free candidates)

Ministry of National Education fee directive

9 core papers

Plus Tamazight where applicable over 3 consecutive days

National middle school curriculum framework

4AM level

4ème Année Moyenne (end of Cycle Moyen)

Algerian basic education structure

Free 100-question English MCQ study bank for the Algerian BEM 2026. The official exam is a three-day constructed-response national written test held 19–21 May 2026 across nine core subjects plus Tamazight where applicable; this bank is not an official translation or format simulation.

Sample Algerian BEM Practice Questions

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

1Using the Euclidean algorithm (successive division), what is the greatest common divisor (PGCD) of 494 and 143?

A.11

B.13

C.26

D.1

Explanation: Applying the Euclidean algorithm: 494 = 143 × 3 + 65, then 143 = 65 × 2 + 13, and finally 65 = 13 × 5 + 0. The last non-zero remainder in successive divisions is 13, so PGCD(494, 143) = 13.

2Using the result PGCD(494, 143) = 13, which of the following is the irreducible form of the fraction 494 / 143?

A.19 / 7

B.33 / 11

C.38 / 11

D.42 / 13

Explanation: To make a fraction irreducible, divide both numerator and denominator by their greatest common divisor: 494 ÷ 13 = 38, and 143 ÷ 13 = 11. Since 38 and 11 share no common factors other than 1, the irreducible fraction is 38 / 11.

3A florist has 378 red roses and 270 white roses. She wants to assemble the maximum number of identical bouquets without leaving any roses over. How many bouquets can she make, and how many flowers of each color will each bouquet contain?

A.54 bouquets, each containing 7 red roses and 5 white roses

B.27 bouquets, each containing 14 red roses and 10 white roses

C.18 bouquets, each containing 21 red roses and 15 white roses

D.36 bouquets, each containing 10 red roses and 8 white roses

Explanation: The maximum number of identical bouquets corresponds to PGCD(378, 270). By the Euclidean algorithm: 378 = 270 × 1 + 108; 270 = 108 × 2 + 54; 108 = 54 × 2 + 0. Thus PGCD(378, 270) = 54 bouquets. Dividing each total by 54 yields 378 ÷ 54 = 7 red roses and 270 ÷ 54 = 5 white roses per bouquet.

4Simplify the expression A = √75 - 2√27 + √12 into the form a√3, where a is an integer.

A.3√3

B.2√3

C.5√3

D.√3

Explanation: Decompose each radicand: √75 = √(25 × 3) = 5√3; 2√27 = 2√(9 × 3) = 2 × 3√3 = 6√3; √12 = √(4 × 3) = 2√3. Combining like terms gives A = 5√3 - 6√3 + 2√3 = (5 - 6 + 2)√3 = 1√3 = √3.

5Which of the following expressions represents 4 / (√7 - √3) rewritten with a rational denominator?

A.2(√7 + √3)

B.√7 + √3

C.√7 - √3

D.4(√7 - √3)

Explanation: Multiply both numerator and denominator by the conjugate (√7 + √3): [4(√7 + √3)] / [(√7 - √3)(√7 + √3)]. The denominator simplifies using the identity (a - b)(a + b) = a² - b² to (√7)² - (√3)² = 7 - 3 = 4. The 4 in the numerator and denominator cancel out, leaving √7 + √3.

6A rectangle has length L = 3 + √7 cm and width W = 3 - √7 cm. What is the area of this rectangle?

A.16 cm²

B.9 cm²

C.2 cm²

D.4√7 cm²

Explanation: The area of a rectangle is length multiplied by width: Area = (3 + √7)(3 - √7). Using the remarkable identity (a + b)(a - b) = a² - b², we obtain 3² - (√7)² = 9 - 7 = 2 cm².

7A square has side length (2x - 3) units. Which expression gives its area after expansion?

A.4x² - 12x + 9

B.4x² - 9

C.4x² - 6x + 9

D.2x² - 12x + 9

Explanation: Applying the identity (a - b)² = a² - 2ab + b²: here a = 2x and b = 3, so (2x)² - 2(2x)(3) + 3² = 4x² - 12x + 9.

8Factor the expression A(x) = (3x + 2)² - (3x + 2)(x - 5) completely into a product of first-degree linear factors.

A.(3x + 2)(4x - 3)

B.(3x + 2)(2x - 3)

C.(3x + 2)(2x + 3)

D.(3x + 2)(2x + 7)

Explanation: Factor out the common binomial term (3x + 2): A(x) = (3x + 2)[(3x + 2) - (x - 5)]. Distributing the negative sign inside the brackets gives 3x + 2 - x + 5 = 2x + 7. Thus, A(x) = (3x + 2)(2x + 7).

9What are all real solutions to the equation (3x - 1)(2x + 5) = 0?

A.x = -1/3 or x = 5/2

B.x = 1/3 or x = -5/2

C.x = 3 or x = -2/5

D.x = -3 or x = 5/2

Explanation: A product of factors equals zero if and only if at least one factor is zero: 3x - 1 = 0 yields x = 1/3, and 2x + 5 = 0 yields 2x = -5, so x = -5/2.

10Which set of real numbers satisfies the linear inequality 5x - 4 ≤ 2x + 8?

A.x ≥ 4

B.x < 4

C.x ≤ 4

D.x ≤ 12

Explanation: Subtract 2x from both sides: 3x - 4 ≤ 8. Add 4 to both sides: 3x ≤ 12. Dividing by positive 3 preserves the inequality direction: x ≤ 4. In interval notation, the solution set is (-∞, 4].

About the Algerian BEM Exam

The Brevet d'Enseignement Moyen (BEM / شهادة التعليم المتوسط) is Algeria's official national qualification examination at the conclusion of middle school (4ème Année Moyenne / 4AM). Supervised by ONEC under the Ministry of National Education, the examination assesses foundational subjects and informs progression into secondary education. This practice bank provides 100 English MCQs for curriculum review and is not an official translation or format simulation.

Assessment

The official BEM is a three-day national written examination held 19–21 May 2026 across nine core subjects: Arabic (2h), physical sciences and technology (1h30), Islamic education (1h), civics (1h), mathematics (2h), English (1h30), history-geography (1h30), French (2h), and natural and life sciences (1h30), plus Tamazight (1h30) where applicable. The official papers use constructed-response tasks; this bank adapts curriculum concepts into 100 English-language four-option MCQs.

Time Limit

3-day national written examination session held 19–21 May 2026 across 9 compulsory papers (ranges from 1 to 2 hours each).

Passing Score

No current pass mark was published in the official 2026 sources reviewed.

Exam Fee

1,000 DZD (schooled candidates) / 2,000 DZD (candidats libres) paid via Edahabia card. (Office National des Examens et Concours (ONEC), Ministry of National Education)

Algerian BEM Exam Content Outline

~20%

Mathematics (الرياضيات)

PGCD via Euclidean algorithm, square roots, algebraic identities, linear equations/inequalities, Thales & Pythagoras theorems, trigonometry, vectors, and affine functions.

~15%

Physical Sciences and Technology (العلوم الفيزيائية)

Domestic electrical safety, AC generation and oscilloscopes, force equilibrium, gravity and weight (P = m*g), Archimedes' principle, and chemical reactions in solution.

~18%

Natural and Life Sciences (علوم الطبيعة والحياة)

Digestive transformations, nutrient absorption across intestinal villi, cellular respiration, gas exchange, spinal reflexes, nerve impulses, and immune defenses.

~9%

Civics (التربية المدنية)

Algerian constitutional order, state institutions, court hierarchy (Tribunal, Cour, Cour Suprême), citizen rights and duties, and international human rights charters.

~8%

Islamic Education (التربية الإسلامية)

Ethics of solidarity and justice, Prophetic Sunnah and Hadith morality, family responsibilities, zakat distribution, and lawful financial interactions.

~10%

Arabic Language (اللغة العربية)

Text comprehension, grammatical analysis (syntax, grammatical states, accusative objects), rhetorical figures (Tashbih, Isti'arah, Tibaq), and discourse connectors.

~10%

French Language (Français)

Argumentative discourse, logical relations (cause, consequence, opposition, condition), direct/indirect reported speech, and passive voice structures.

~5%

English Language (Anglais)

Past simple and continuous tenses, passive forms, comparative/superlative structures, relative clauses, and everyday communication functions.

~5%

History and Geography (التاريخ والجغرافيا)

National liberation struggle (1919–1962), 1 November 1954 declaration, Soummam Congress, Algerian regional relief, climate zones, and economic resources.

How to Pass the Algerian BEM Exam

What You Need to Know

Passing score: No current pass mark was published in the official 2026 sources reviewed.
Assessment: The official BEM is a three-day national written examination held 19–21 May 2026 across nine core subjects: Arabic (2h), physical sciences and technology (1h30), Islamic education (1h), civics (1h), mathematics (2h), English (1h30), history-geography (1h30), French (2h), and natural and life sciences (1h30), plus Tamazight (1h30) where applicable. The official papers use constructed-response tasks; this bank adapts curriculum concepts into 100 English-language four-option MCQs.
Time limit: 3-day national written examination session held 19–21 May 2026 across 9 compulsory papers (ranges from 1 to 2 hours each).
Exam fee: 1,000 DZD (schooled candidates) / 2,000 DZD (candidats libres) paid via Edahabia card.

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

Algerian BEM Study Tips from Top Performers

1Master the Euclidean algorithm for greatest common divisor (PGCD) calculations and reducing fractions to irreducible form without calculation errors.

2Review domestic electrical installation diagrams: identify live (phase), neutral, and earth wires, and know the specific protective roles of fuses and differential circuit breakers.

3In Natural Sciences, memorize the exact sites and enzymes for nutrient digestion (salivary amylase in the mouth, pepsin in the stomach, pancreatic juice and intestinal enzymes in the small intestine) and the absorption pathways (blood vs lymph).

4For French and Arabic language papers, practice identifying logical connectors of cause, consequence, and opposition, as well as grammatical transformations (direct to indirect speech, active to passive voice).

5In Civics and History, review the hierarchy of the Algerian judiciary (Tribunal, Cour, Cour Suprême), the core dates of the national movement, and the milestones of the 1954–1962 Liberation War (1 November 1954 Declaration, 1956 Soummam Congress, 1962 Evian Accords).

6Remember that official BEM questions evaluate problem-solving situations (situations d'intégration); use this MCQ bank to test factual and conceptual knowledge, then practice handwritten problem-solving on past ONEC exam papers.

Frequently Asked Questions

Is the official Algerian BEM a multiple-choice examination in English?

No. The official Brevet d'Enseignement Moyen is a constructed-response, handwritten paper examination administered in Arabic, French, and English according to the specific subject. This digital question bank is an English-language multiple-choice study adaptation created to help learners master and review core curriculum concepts; it is neither an official translation nor an exam format simulation.

When does the 2026 BEM examination take place?

Under the official timetable directive of the Algerian Ministry of National Education, the 2026 BEM examination session is scheduled from Tuesday 19 May to Thursday 21 May 2026 (running in May, not June).

What is the registration fee for the BEM?

Registration fees established by ministerial directive are 1,000 DZD for regular school candidates (candidats scolarisés) and 2,000 DZD for free/independent candidates (candidats libres), payable via the Algeria Post Edahabia card on the ONEC portal.

What pass mark applies to the 2026 BEM?

The current official 2026 sources reviewed did not publish a pass mark, so this study page does not state one.

What subjects are tested on the Algerian BEM?

The examination encompasses nine compulsory subjects: Arabic Language and Literature, Physical Sciences and Technology, Islamic Education, Civics, Mathematics, English Language, History and Geography, French Language, and Natural and Life Sciences. Tamazight is also tested for candidates enrolled in schools offering Tamazight instruction.

Who is eligible to register for the BEM?

Eligibility is open to all students actively enrolled in the 4th Year of Middle School (4ème Année Moyenne / 4AM) in public and private institutions, as well as independent candidates who have reached the 4AM level or enrolled in distance education via ONEFD.