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Exam Review

Key Facts: Mali Bac TSE Exam

Series-specific written papers

Arrêté n° 2014-1385/MEN-SG

17 h

Total official examination time

Arrêté n° 2014-1385/MEN-SG

10 / 20

Passing examination average

Arrêté n° 2014-1385/MEN-SG

22–25 June

2026 written-exam dates

Ministère de l'Éducation Nationale calendar

100 English MCQs for independent Mali Bac TSE (Sciences Exactes) review across math, physics, chemistry, biology, philosophy, and English.

Sample Mali Bac TSE Practice Questions

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

1Given the complex number z = 1 + i*sqrt(3), what is the trigonometric (polar) form of z?

A.2 * (cos(pi/3) + i * sin(pi/3))

B.2 * (cos(pi/6) + i * sin(pi/6))

C.sqrt(2) * (cos(pi/3) + i * sin(pi/3))

D.4 * (cos(pi/3) + i * sin(pi/3))

Explanation: The modulus is |z| = sqrt(1^2 + (sqrt(3))^2) = sqrt(1 + 3) = sqrt(4) = 2. The argument theta satisfies cos(theta) = 1/2 and sin(theta) = sqrt(3)/2, which gives theta = pi/3 radians. Therefore, the polar form is 2 * (cos(pi/3) + i * sin(pi/3)).

2What is the value of the complex expression (1 + i)^8?

A.16

B.16i

C.-16

D.8 + 8i

Explanation: First compute (1 + i)^2 = 1 + 2i + i^2 = 2i. Then (1 + i)^8 = ((1 + i)^2)^4 = (2i)^4 = 2^4 * i^4 = 16 * 1 = 16.

3In the complex plane, what is the geometric locus of points M representing complex numbers z such that |z - 2 + 3i| = 5?

A.A circle centered at Omega(2, -3) with radius R = 5

B.A circle centered at Omega(-2, 3) with radius R = 5

C.A straight line perpendicular to the segment from (2, 0) to (0, -3)

D.A circle centered at Omega(2, -3) with radius R = 25

Explanation: The equation |z - (2 - 3i)| = 5 represents the set of all points M(z) whose Euclidean distance to the fixed point Omega with affix omega = 2 - 3i is equal to 5. This is a circle of center Omega(2, -3) and radius R = 5.

4For a real constant a, lim_{x->0} (e^(ax) - 1) / x = 6. What is a?

A.6

B.1/6

C.e^6

D.0

Explanation: Let u = ax. Then (e^(ax) - 1) / x = a(e^u - 1) / u, whose limit is a because lim_{u->0}(e^u - 1)/u = 1. The stated limit is 6, so a = 6.

5What is the derivative of the function f(x) = ln(x^2 + 1) for all real x?

A.2x / (x^2 + 1)

B.1 / (x^2 + 1)

C.2 / (x^2 + 1)

D.x / (x^2 + 1)

Explanation: Applying the chain rule for the natural logarithm, (ln(u))' = u' / u. Here u(x) = x^2 + 1, so u'(x) = 2x. Thus f'(x) = 2x / (x^2 + 1).

6What is the general solution of the differential equation y' - 3y = 0 on R?

A.y(x) = C * e^(3x), where C is a real constant

B.y(x) = C * e^(-3x), where C is a real constant

C.y(x) = 3x + C, where C is a real constant

D.y(x) = C * e^(x/3), where C is a real constant

Explanation: The linear homogeneous first-order differential equation y' - ay = 0 has general solutions of the form y(x) = C * e^(ax). Here a = 3, so y(x) = C * e^(3x).

7What is the particular solution to the differential equation y'' + 4y = 0 satisfying y(0) = 1 and y'(0) = 2?

A.y(x) = cos(2x) + sin(2x)

B.y(x) = cos(2x) + 2*sin(2x)

C.y(x) = 2*cos(2x) + sin(2x)

D.y(x) = e^(2x) + e^(-2x)

Explanation: The characteristic equation r^2 + 4 = 0 has roots r = +/- 2i. The general solution is y(x) = A*cos(2x) + B*sin(2x). y(0) = A = 1. Its derivative is y'(x) = -2A*sin(2x) + 2B*cos(2x). y'(0) = 2B = 2, so B = 1. Therefore, y(x) = cos(2x) + sin(2x).

8Evaluate the definite integral I = int_0^1 (2x + 1) * e^(x^2 + x) dx.

A.e^2 - 1

B.e^2

C.e^2 - e

D.(e^2 - 1) / 2

Explanation: Notice that (x^2 + x)' = 2x + 1. The integrand has the form u'(x) * e^(u(x)), whose antiderivative is e^(u(x)) = e^(x^2 + x). Evaluating from 0 to 1 gives e^(1^2 + 1) - e^(0^2 + 0) = e^2 - e^0 = e^2 - 1.

9Using integration by parts, evaluate J = int_1^e x * ln(x) dx.

A.(e^2 + 1) / 4

B.(e^2 - 1) / 4

C.(3e^2 + 1) / 4

D.e^2 / 2

Explanation: Set u = ln(x) -> u' = 1/x, and v' = x -> v = x^2 / 2. By integration by parts, J = [ (x^2 / 2) * ln(x) ]_1^e - int_1^e (x^2 / 2) * (1/x) dx = (e^2 / 2 * 1 - 0) - [ x^2 / 4 ]_1^e = e^2 / 2 - (e^2 / 4 - 1/4) = e^2 / 4 + 1/4 = (e^2 + 1) / 4.

10What is the remainder of 3^100 when divided by 7?

A.4

B.2

C.1

D.3

Explanation: By Fermat's Little Theorem, since 7 is prime and gcd(3, 7) = 1, we have 3^6 = 1 (mod 7). Dividing the exponent by 6 gives 100 = 6 * 16 + 4. Therefore, 3^100 = (3^6)^16 * 3^4 = 1^16 * 81 = 81 (mod 7). Since 81 = 7 * 11 + 4, the remainder of 3^100 divided by 7 is 4.

About the Mali Bac TSE Exam

Baccalauréat Série TSE is Mali's secondary leaving examination in Sciences Exactes. Arrêté n° 2014-1385/MEN-SG defines six written papers emphasizing mathematics, physics, and chemistry. This independent bank provides English MCQs covering all six paper areas.

Exam sponsor: Centre National des Examens et Concours de l'Éducation (CNECE), Ministère de l'Éducation Nationale du Mali.. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

The TSE series papers and coefficients are Mathematics 4 (4 h), Physics 3 (3 h), Chemistry 3 (3 h), Geology-Biology 2 (2 h), Philosophy 2 (3 h), and Living Language I 2 (2 h), totaling 16 coefficient units and 17 hours. Physics and chemistry include course questions, an application, and a problem; mathematics uses exercises and a synthesis problem; geology-biology emphasizes document and data analysis; philosophy requires extended writing. This English MCQ bank is an independent study adaptation.

Time Limit

17 total written hours: one 4-hour paper, three 3-hour papers, and two 2-hour papers. The 2026 session ran 22–25 June.

Passing Score

At least 10/20 weighted average. Regular candidates scoring 9.00–9.99/20 may pass if (3 × exam average + annual school average) ÷ 4 reaches 10/20.

Exam / Certification Fees

Candidates libres owe a registration fee set by a separate ministerial order; the amount was not located. Their file also includes a request bearing a 200 CFA-franc fiscal stamp. No regular-candidate fee was located.

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.

25%

Mathematics

Analysis, complex numbers, calculus, arithmetic, vectors, and probability.

19%

Physics

Mechanics, electromagnetism, AC circuits, oscillations, and wave/nuclear physics.

19%

Chemistry

Kinetics, chemical equilibrium, acid-base systems, and organic chemistry.

13%

Geology and Biology

Molecular genetics, cellular biology, physiology, and geology.

12%

Philosophy

Epistemology, scientific methodology, ethics, politics, and African thought.

12%

Living Language I

English reading comprehension, vocabulary, grammar, and composition skills.

Preparing for the Mali Bac TSE Exam

What You Need to Know

Passing score: At least 10/20 weighted average. Regular candidates scoring 9.00–9.99/20 may pass if (3 × exam average + annual school average) ÷ 4 reaches 10/20.
Assessment: The TSE series papers and coefficients are Mathematics 4 (4 h), Physics 3 (3 h), Chemistry 3 (3 h), Geology-Biology 2 (2 h), Philosophy 2 (3 h), and Living Language I 2 (2 h), totaling 16 coefficient units and 17 hours. Physics and chemistry include course questions, an application, and a problem; mathematics uses exercises and a synthesis problem; geology-biology emphasizes document and data analysis; philosophy requires extended writing. This English MCQ bank is an independent study adaptation.
Time limit: 17 total written hours: one 4-hour paper, three 3-hour papers, and two 2-hour papers. The 2026 session ran 22–25 June.
Exam / certification fees: Candidates libres owe a registration fee set by a separate ministerial order; the amount was not located. Their file also includes a request bearing a 200 CFA-franc fiscal stamp. No regular-candidate fee was located. Official sources

Using Our Practice Resources

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
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Mali Bac TSE: Suggested Study Strategy

1Solve full multi-step calculation problems for math, physics, and chemistry, writing out all intermediate steps and checking units.

2Master reaction mechanisms, esterification, and acid-base titration curve interpretation in chemistry.

3Review molecular biology pathways and geological processes alongside diagram labeling.

4Practice constructing structured philosophical dissertations and review key epistemology texts.

Frequently Asked Questions

What papers make up Mali's Bac Série TSE?

Arrêté n° 2014-1385/MEN-SG specifies Mathematics (coef 4), Physics (coef 3), Chemistry (coef 3), Geology-Biology (coef 2), Philosophy (coef 2), and Living Language I (coef 2).

How is Série TSE different from Série TSExp?

Série TSE (Sciences Exactes) places primary weight on Mathematics (coef 4), Physics (coef 3), and Chemistry (coef 3). In contrast, TSExp (Sciences Expérimentales) places higher weight on Biology-Geology and experimental sciences.

What is the passing rule for the Mali Baccalauréat?

Candidates need an overall weighted average of at least 10/20. Regular candidates with an average between 9.00 and 9.99 can be rescued if their blended annual school and exam mark reaches 10/20.