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Free Practice Questions for Libya Secondary Certificate — Scientific

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Exam pass rate: 79.87% (scientific stream, 2025–26 first round, inside Libya)
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Key Facts: Libya Secondary Certificate — Scientific Exam

108,224

Scientific-stream candidates in the 2025–26 first round inside Libya

National Center for Examinations

79.87%

Scientific-stream first-round pass rate, 2025–26

Ministry of Education, 12 August 2026

30% + 70%

Year work plus final exam in each subject mark

Decree 1013 of 2022, art. 49

50% + 50%

Minimum of the subject total and of the final-exam mark to pass

Decree 1013 of 2022, art. 50

28 June–16 July 2026

Dates of the 2025–26 first-round secondary exams

Ministry of Education timetable

Independent English-language MCQ practice for Libya's Secondary Certificate, scientific stream. The official exam uses unified Arabic papers per subject; to pass, a candidate needs 50% of each subject's total and 50% of its final-exam mark (Decree 1013/2022). 79.87% of scientific candidates passed the 2025–26 first round.

Sample Libya Secondary Certificate — Scientific Practice Questions

Try these sample questions to review concepts for the Libya Secondary Certificate — Scientific exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1If a = 3i − 4j and b = i + 2j, what is the magnitude of the resultant vector a + b (مقدار المتجه)?
A.5 + √5
B.6
C.2√5
D.2
Explanation: Add corresponding components: a + b = (3 + 1)i + (−4 + 2)j = 4i − 2j. Its magnitude is √(4² + (−2)²) = √(16 + 4) = √20 = 2√5 ≈ 4.47.
2Expanding along the first row, what is the value of the third-order determinant whose rows are (1, 2, 0), (3, −1, 4) and (2, 0, 1) (محدد من الرتبة الثالثة)?
A.−11
B.9
C.−9
D.7
Explanation: With the first-row signs + − +: 1 × [(−1)(1) − (4)(0)] − 2 × [(3)(1) − (4)(2)] + 0 × [(3)(0) − (−1)(2)] = 1 × (−1) − 2 × (−5) + 0 = −1 + 10 = 9.
3The region bounded by the curve y = √x, the x-axis and the line x = 4 is rotated through 360° about the x-axis. What is the volume of the solid generated (حجم الجسم الناشئ من الدوران)?
A.16π
B.(16/3)π
C.8
D.8π
Explanation: For rotation about the x-axis, V = π∫ y² dx. Here y² = x, so V = π∫₀⁴ x dx = π[x²/2]₀⁴ = π × 16/2 = 8π cubic units.
4Given A = [[1, 2], [3, 0]] and B = [[2, 1], [1, 4]], what is the product AB (ضرب المصفوفات)?
A.[[4, 9], [6, 3]]
B.[[5, 4], [13, 2]]
C.[[2, 2], [3, 0]]
D.[[3, 3], [4, 4]]
Explanation: Each entry of AB is a row of A multiplied by a column of B: (1)(2) + (2)(1) = 4, (1)(1) + (2)(4) = 9, (3)(2) + (0)(1) = 6 and (3)(1) + (0)(4) = 3. So AB = [[4, 9], [6, 3]].
5If sin(θ) = 3/5 and θ is in the first quadrant, what is the exact value of cos(2θ) (حساب المثلثات)?
A.-7/25
B.24/25
C.7/25
D.16/25
Explanation: The double-angle identity for cosine in terms of sine is cos(2θ) = 1 − 2sin²(θ). Substituting sin(θ) = 3/5 gives cos(2θ) = 1 − 2(3/5)² = 1 − 2(9/25) = 1 − 18/25 = 7/25.
6Writing √3 cos θ + sin θ in the form R cos(θ − α), with R > 0 and 0° < α < 90°, gives which expression (المقدار أ جتا θ + ب جا θ)?
A.2 cos(θ + 30°)
B.2 cos(θ − 60°)
C.2 cos(θ − 30°)
D.4 cos(θ − 30°)
Explanation: R cos(θ − α) = R cos α cos θ + R sin α sin θ. Matching coefficients gives R cos α = √3 and R sin α = 1, so R = √(3 + 1) = 2 and tan α = 1/√3, giving α = 30°. Hence √3 cos θ + sin θ = 2 cos(θ − 30°).
7Using the compound-angle formula sin(A + B) = sin A cos B + cos A sin B, what is the exact value of sin 75°?
A.(√6 − √2)/4
B.(√6 + √2)/4
C.(√3 + 1)/2
D.(√6 + √2)/2
Explanation: sin 75° = sin(45° + 30°) = sin 45° cos 30° + cos 45° sin 30° = (√2/2)(√3/2) + (√2/2)(1/2) = (√6 + √2)/4 ≈ 0.966.
8A function is odd (دالة فردية) when f(−x) = −f(x) for every x in its domain. Which of the following functions is odd?
A.f(x) = x⁴ + x²
B.f(x) = cos x
C.f(x) = x³ + 1
D.f(x) = x³ − 4x
Explanation: For f(x) = x³ − 4x: f(−x) = (−x)³ − 4(−x) = −x³ + 4x = −(x³ − 4x) = −f(x), so the function is odd. The graph of an odd function is symmetric about the origin.
9What is the inverse function f⁻¹(x) of f(x) = (2x + 3)/5 (الدالة العكسية)?
A.f⁻¹(x) = (5x − 3)/2
B.f⁻¹(x) = (5x + 3)/2
C.f⁻¹(x) = 5/(2x + 3)
D.f⁻¹(x) = (2x − 3)/5
Explanation: Let y = (2x + 3)/5 and solve for x: 5y = 2x + 3, so x = (5y − 3)/2. Interchanging x and y gives f⁻¹(x) = (5x − 3)/2. Check: f(f⁻¹(x)) = (2 × (5x − 3)/2 + 3)/5 = 5x/5 = x.
10A particle moves in a straight line so that its displacement after t seconds is s = t³ − 6t² + 9t metres. At what times is the particle momentarily at rest (السرعة والعجلة)?
A.t = 2 s only
B.t = 0 s and t = 3 s
C.t = 1 s and t = 3 s
D.t = 1 s only
Explanation: The particle is at rest when its velocity is zero. v = ds/dt = 3t² − 12t + 9 = 3(t − 1)(t − 3), so v = 0 when t = 1 s and when t = 3 s.

About the Libya Secondary Certificate — Scientific Exam

The Secondary Education Completion Certificate (شهادة إتمام مرحلة التعليم الثانوي) is Libya's national school-leaving examination, run by the National Center for Examinations under the Ministry of Education. In the scientific stream, 108,224 candidates sat the 2025–26 first round inside Libya. Candidates take unified Arabic-language papers in mathematics, physics, chemistry, biology, statistics, information technology, English, Arabic and Islamic education, and each subject mark combines 30% year work with 70% for the final paper. This free bank offers independent practice on the topics of the Libyan third-year scientific textbooks. It is an English-language MCQ study adaptation, not an official translation, and it does not simulate the official answer sheets, composition exam or year-work assessment.

Exam sponsor: National Center for Examinations (NEC), Ministry of Education. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

2025–26 first round: 28 June to 16 July 2026. Unified papers: Arabic grammar, morphology and spelling; literary texts, rhetoric and expression; statistics; English; biology; physics (electricity and magnetism); mathematics; Islamic education; chemistry; information technology; and physics (mechanics). A unified composition exam is held in schools and marked by teachers. Each subject mark is 30% year work and 70% final exam; students who fail up to three subjects sit a second round.

Time Limit

About 2–3 hours per paper (e.g., statistics 9:00–12:00, grammar 9:00–11:30, Islamic education 9:00–11:00 in the 2025–26 second-round timetable)

Passing Score

50% of each subject's total and 50% of its final-exam mark; grades: Acceptable 50%+, Good 65%+, Very Good 75%+, Excellent 85%+

Exam / Certification Fees

No exam fee published; general secondary education is free for Libyan citizens

Exam sponsor website

Reported exam pass rate: 79.87% (scientific stream, 2025–26 first round, inside Libya). Announced by the Ministry of Education and the National Center for Examinations on 12 August 2026; the overall first-round pass rate for all streams inside Libya was 77.28%. This describes exam candidates, not OpenExamPrep users or results from using our resources. Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

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.

Study emphasis ~18%

Mathematics

Matrices and determinants, trigonometric identities, functions and differentiation, applications of differentiation and integration, calculus of trigonometric, logarithmic and exponential functions, and vectors.

Study emphasis ~16%

Physics

Mechanics (resolving forces, friction, motion under gravity, pulleys, work, energy and power) and electricity and magnetism (charge and current, circuits, electrical energy and safety, electromagnetism, transformers and radioactivity).

Study emphasis ~14%

Chemistry

The periodic table, metals and the reactivity series, extraction of iron and aluminium, alkanes and alkenes, petroleum and cracking, alcohols, carboxylic acids, esters, phenol, and polymers.

Study emphasis ~14%

Biology

Microorganisms and biotechnology, ecology and nutrient cycles, human impact on ecosystems, reproduction in flowering plants and humans, and genetics (inheritance, mutations, natural selection and genetic engineering).

Study emphasis ~8%

Statistics

Probability and counting, random variables, binomial, Poisson and normal distributions, sampling distributions and confidence intervals.

Study emphasis ~8%

Information Technology

Data security (encryption, firewalls, malware), e-government, IT legislation and software licences, and Visual Basic programming (controls, arrays and functions).

Study emphasis ~8%

English Language

Conditionals, the passive voice, reported speech, relative clauses, word formation and reading comprehension.

Study emphasis ~8%

Arabic Language

Nahw (deputy subject, objects, hal, tamyiz and numbers), Sarf (participles and intensive forms) and Imla (joining words).

Study emphasis ~6%

Islamic Education

Prescribed hadiths, contemporary sects, zakat on livestock and the pillars of Hajj in the Maliki school.

Preparing for the Libya Secondary Certificate — Scientific Exam

What You Need to Know

  • Passing score: 50% of each subject's total and 50% of its final-exam mark; grades: Acceptable 50%+, Good 65%+, Very Good 75%+, Excellent 85%+
  • Assessment: 2025–26 first round: 28 June to 16 July 2026. Unified papers: Arabic grammar, morphology and spelling; literary texts, rhetoric and expression; statistics; English; biology; physics (electricity and magnetism); mathematics; Islamic education; chemistry; information technology; and physics (mechanics). A unified composition exam is held in schools and marked by teachers. Each subject mark is 30% year work and 70% final exam; students who fail up to three subjects sit a second round.
  • Time limit: About 2–3 hours per paper (e.g., statistics 9:00–12:00, grammar 9:00–11:30, Islamic education 9:00–11:00 in the 2025–26 second-round timetable)
  • Exam / certification fees: No exam fee published; general secondary education is free for Libyan citizens 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

Libya Secondary Certificate — Scientific: Suggested Study Strategy

1Work through the exercises in each official textbook: for the 2025–26 session the Ministry announced that 40% of final-exam questions would come directly from textbook and activity-book exercises.
2Practise calculus and matrix calculations step by step, and check every answer by substituting back.
3For physics, learn the formulas for charge, resistance, power, transformers and half-life, and always convert units (minutes to seconds, W to kW).
4Review chemistry tests and reactions, such as bromine water, acidified dichromate and the reactivity series, until you can predict the observation.

Frequently Asked Questions

What does the Libyan Secondary Certificate exam look like in the scientific stream?

The National Center for Examinations sets one unified written paper per subject (physics and Arabic have two each), sat over about three weeks in late June and July. Candidates answer by shading circles on separate answer sheets, and a unified composition exam is held and marked in schools. Item counts are not published.

What mark is needed to pass?

Under Decree 1013 of 2022, each subject mark is 30% year work and 70% final exam, and a candidate must reach 50% of the subject's total and 50% of its final-exam mark. Candidates who fail up to three subjects may sit a second round.

Is this practice bank an official test or a translation?

No. It is independent English-language MCQ practice by OpenExamPrep on the topics of the Libyan third-year scientific textbooks. The official papers are in Arabic (the English paper is in English), and this bank does not reproduce or simulate them.

How many students sit the scientific stream?

In the 2025–26 first round, 108,224 candidates sat the scientific stream inside Libya, out of 134,256 secondary-certificate candidates across all streams, and 79.87% of scientific candidates passed.