Free Practice Questions for Iraqi Baccalaureate Scientific

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Key Facts: Iraqi Baccalaureate Scientific Exam

7 subjects

Standardized ministerial subjects examined in the Scientific Branch

Iraqi Ministry of Education

50%

Minimum passing score per subject (50/100 points)

Iraqi Ministry of Education

June–July 2026

Official First Round ministerial examination period

Iraqi Ministry of Education

Free 100-question English MCQ study bank for the Iraqi Baccalaureate Scientific Branch (السادس الإعدادي - العلمي). Official exam: Arabic written problem sets and essays across 7 subjects with a 50% passing threshold per subject. Not an official-format simulation.

Sample Iraqi Baccalaureate Scientific Practice Questions

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

1What is the rectangular (Cartesian) form of the complex number z = (1 + i) / (1 − i)?

A.i

B.-1

C.-i

D.1

Explanation: Multiply the numerator and denominator by the complex conjugate of the denominator, (1 + i): z = (1 + i)(1 + i) / ((1 − i)(1 + i)) = (1 + 2i + i²) / (1 − i²) = (1 + 2i − 1) / (1 − (−1)) = 2i / 2 = i.

2According to De Moivre's Theorem, what is the value of (cos(π/6) + i sin(π/6))⁶?

A.1

B.-1

C.i

D.-i

Explanation: By De Moivre's Theorem, [cos(θ) + i sin(θ)]ⁿ = cos(nθ) + i sin(nθ). Here n = 6 and θ = π/6, so 6θ = π. Thus, cos(π) + i sin(π) = -1 + i(0) = -1.

3Find the modulus (absolute value) r of the complex number z = -3 + 4i.

A.7

B.1

C.5

D.25

Explanation: The modulus of a complex number z = x + yi is given by r = |z| = √(x² + y²). For z = -3 + 4i, r = √((-3)² + 4²) = √(9 + 16) = √25 = 5.

4What are the two square roots of the complex number z = -8i in Cartesian form?

A.±(2 + 2i)

B.±(4 - 4i)

C.±(4 + 4i)

D.±(2 - 2i)

Explanation: Let (x + yi)² = -8i. Expanding gives x² - y² + 2xyi = 0 - 8i. Equating real parts gives x² - y² = 0. Equating imaginary parts gives 2xy = -8, so xy = -4, which means x and y have opposite signs. Taking moduli gives x² + y² = |-8i| = 8. Adding x² - y² = 0 and x² + y² = 8 gives 2x² = 8, so x² = 4 and x = ±2. Using xy = -4: when x = 2, y = -2; when x = -2, y = 2. Hence the two square roots are ±(2 - 2i).

5For the function f(x) = x³ - 3x on the interval [-√3, √3], which values of c satisfy Rolle's Theorem?

A.c = ±1

B.c = 0

C.c = ±√3

D.c = ±1/2

Explanation: f(x) is continuous on [-√3, √3] and differentiable on (-√3, √3). Check endpoints: f(-√3) = -3√3 + 3√3 = 0, and f(√3) = 3√3 - 3√3 = 0, so f(-√3) = f(√3). Rolle's Theorem states there exists c ∈ (-√3, √3) such that f'(c) = 0. f'(x) = 3x² - 3 = 0 → x² = 1 → c = ±1. Both values lie strictly within (-√3, √3).

6Let f(x) = x² - 4x + 5 on the interval [0, 4]. What value of c satisfies the Mean Value Theorem f'(c) = (f(b) - f(a)) / (b - a)?

A.c = 1

B.c = 2

C.c = 3

D.c = 0

Explanation: f(0) = 5 and f(4) = 16 - 16 + 5 = 5. The average rate of change is (f(4) - f(0))/(4 - 0) = (5 - 5)/4 = 0. The derivative is f'(x) = 2x - 4. Setting f'(c) = 0 gives 2c - 4 = 0 → c = 2, which belongs to (0, 4).

7At what point does the curve y = 2x³ - 6x² + 4 have an inflection point?

A.(0, 4)

B.(2, -4)

C.(1, 0)

D.(1, 2)

Explanation: Find the second derivative: y' = 6x² - 12x, and y'' = 12x - 12. Set y'' = 0: 12x - 12 = 0 → x = 1. The sign of y'' changes from negative (for x < 1) to positive (for x > 1), confirming an inflection point. Substitute x = 1 into the original equation: y = 2(1)³ - 6(1)² + 4 = 2 - 6 + 4 = 0. Thus the point is (1, 0).

8A spherical balloon is inflated such that its radius increases at a constant rate of 0.5 cm/s. At what rate is its volume increasing when the radius is 10 cm?

A.100π cm³/s

B.50π cm³/s

C.400π cm³/s

D.200π cm³/s

Explanation: The volume of a sphere is V = (4/3)πr³. Differentiating with respect to time t gives dV/dt = 4πr² (dr/dt). Given r = 10 cm and dr/dt = 0.5 cm/s, we compute dV/dt = 4π(10)²(0.5) = 4π(100)(0.5) = 200π cm³/s.

9Evaluate the indefinite integral: ∫ (6x² + 4x - 5) dx.

A.2x³ + 2x² - 5x + C

B.12x + 4 + C

C.3x³ + 2x² - 5x + C

D.2x³ + 4x² - 5x + C

Explanation: Integrate term by term: ∫ 6x² dx = 6(x³/3) = 2x³; ∫ 4x dx = 4(x²/2) = 2x²; ∫ -5 dx = -5x. Combining these with the constant of integration yields 2x³ + 2x² - 5x + C.

10Evaluate the definite integral: ∫₀² (3x² - 2x + 1) dx.

A.4

B.6

C.8

D.10

Explanation: Find the antiderivative: F(x) = x³ - x² + x. Evaluate from 0 to 2: F(2) = (2)³ - (2)² + 2 = 8 - 4 + 2 = 6. F(0) = 0. Therefore, F(2) - F(0) = 6 - 0 = 6.

About the Iraqi Baccalaureate Scientific Exam

The Scientific Branch of the Iraqi Baccalaureate (السادس الإعدادي - الفرع العلمي) is the nationwide secondary school-leaving examination administered by the Iraqi Ministry of Education. Following the abolition of the biology and applied sub-branch division, all scientific track students sit unified ministerial examinations across mathematics, natural sciences, Arabic, English, and Islamic education. Passing scores determine eligibility for central university admission (القبول المركزي) to medicine, engineering, and science faculties. This free practice bank provides an English-language MCQ study adaptation of core curriculum topics; it is not an official translation or paper simulation.

Exam sponsor: Iraqi Ministry of Education (وزارة التربية العراقية). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Written ministerial examination papers across 7 subjects: Islamic Education, Arabic Language, English Language, Biology, Mathematics, Chemistry, and Physics (French is available as an additional optional paper). This bank is an English-language MCQ study adaptation. The percentages shown are this bank's own coverage weighting, not official subject weights: each official subject paper is set and marked out of 100 in its own right.

Time Limit

One subject paper per examination day across the national ministerial period, beginning at 7:00 a.m. Baghdad local time; the duration allowed for each paper is set in the Ministry's examination instructions.

Passing Score

50% (50 out of 100) in each subject examination.

Exam / Certification Fees

Free for public school students; 50,000 IQD registration fee for external examination candidates.

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.

20%

Mathematics

Complex numbers, differential calculus applications, integration, differential equations, and solid geometry.

18%

Physics

Capacitors, electromagnetic induction, alternating current circuits, wave optics, modern physics, atomic spectra, and nuclear physics.

18%

Chemistry

Chemical thermodynamics, chemical equilibrium, ionic equilibrium, electrochemistry, coordination chemistry, analytical chemistry, and organic chemistry.

18%

Biology

Cell structure and division, plant and animal histology, reproduction in organisms, and classical and molecular genetics.

12%

Arabic Language & Literature

Arabic grammar rules (interrogation, negation, exception, emphasis) and classical and modern Iraqi and Arab poetry and prose.

English Language

English for Iraq grammar structures, vocabulary, reading comprehension, and communicative language functions.

Islamic Education

Quranic sciences (Ahkam al-Tilawah), Hadith analysis, and Islamic ethics and social principles.

Preparing for the Iraqi Baccalaureate Scientific Exam

What You Need to Know

Passing score: 50% (50 out of 100) in each subject examination.
Assessment: Written ministerial examination papers across 7 subjects: Islamic Education, Arabic Language, English Language, Biology, Mathematics, Chemistry, and Physics (French is available as an additional optional paper). This bank is an English-language MCQ study adaptation. The percentages shown are this bank's own coverage weighting, not official subject weights: each official subject paper is set and marked out of 100 in its own right.
Time limit: One subject paper per examination day across the national ministerial period, beginning at 7:00 a.m. Baghdad local time; the duration allowed for each paper is set in the Ministry's examination instructions.
Exam / certification fees: Free for public school students; 50,000 IQD registration fee for external examination candidates. Official sources

Using Our Practice Resources

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Iraqi Baccalaureate Scientific: Suggested Study Strategy

1Master calculus techniques including Rolle's theorem, curve sketching, and geometric area integrals for mathematics.

2Practice numerical calculations for RLC AC circuits, Lenz's law problems, and photoelectric effect equations in physics.

3Memorize equilibrium expressions (Kc and Ksp), buffer pH calculations, and Nernst equation setups in chemistry.

4Review cell biology diagrams and genetic inheritance ratios thoroughly for the biology paper.

Frequently Asked Questions

Is the official Iraqi Baccalaureate a multiple-choice examination?

No. The official ministerial examinations (الامتحان الوزاري) are written essay, derivation, and calculation problem sets in Arabic. This bank is an English-language MCQ study adaptation.

How is the Scientific Branch structured following recent educational reforms?

The Iraqi Ministry of Education eliminated the division between the Biological (الأحيائي) and Applied (التطبيقي) tracks, returning to a unified Scientific Branch (الفرع العلمي) with a standardized curriculum across mathematics, physics, chemistry, and biology.

What is the passing score for the 6th Preparatory Baccalaureate?

Candidates must achieve at least 50 out of 100 points in each subject to pass. Failing students may sit the Second Round (الدور الثاني) examinations.