Mali ENSup Entrance Exam cheat sheet

In Mali, secondary teaching recruits are trained at the Écoles Normales Supérieures (ENSup) in Bamako and the Institut de Formation des Maîtres (IFM) for fundamental education; the concours tests the subject the candidate will teach.

The Malian school system is organised in cycles: enseignement fondamental (1er cycle: grades 1-6; 2e cycle: grades 7-9), enseignement secondaire général (lycée, grades 10-12) leading to the Baccalauréat, and enseignement supérieur.

The official language of instruction is French; national languages (Bambara, Fulfulde, Songhay, Tamasheq, Soninké, Dogon, etc.) are used in bilingual education programmes and in the early grades under the pédagogie convergente model.

A discipline-specific answer must state the level (grade), the target competency from the national programme, the prerequisite knowledge, and the assessment method - not just the content.

Subject knowledge questions are answered with precise definitions, a worked example, and the boundary conditions where the rule fails; vague generalities score low.

The Malian Baccalauréat is organised by the Office du Baccalauréat; subjects and coefficients vary by série (A: literary, C and D: scientific, etc.), so know the coefficients of your subject.

For a teaching post, the candidate must master the subject at least one level above the class taught, so that explanations, counter-examples, and error diagnosis are available on demand.

The written test typically includes a text comprehension or summary exercise, a grammar and vocabulary section, and a structured essay (dissertation or commentaire composé).

A dissertation follows: introduction (amorce, problématique, annonce du plan), two or three developmental parts with transitions, and a conclusion that answers the problématique.

A résumé must preserve the source's order of ideas, use the same enunciative system (je/tu/nous if first person), and stay within about one quarter of the original length.

Accord rules: the past participle with avoir agrees with the preceding direct object (les lettres qu'il a écrites); with être it agrees with the subject (elle est partie).

Subjunctive triggers include il faut que, bien que, quoique, avant que, pour que, and after expressions of doubt or necessity; après que takes the indicative.

Common traps: confusion of a/à, ou/où, ce/se, leur/leurs, and the agreement of tout (tout le monde = singular; tous les élèves = plural).

Written register requires connecteurs logiques (en effet, néanmoins, par conséquent, toutefois) and avoids oral markers such as du coup, genre, and voilà.

Percentages: a 20% increase followed by a 20% decrease does not return to the original value; the net effect is 1.20 × 0.80 = 0.96, i.e. a 4% decrease.

Proportionality: y = kx; the coefficient k is found from any known pair; average speed is total distance divided by total time, not the mean of the speeds.

Simple interest I = C × t × n (with t as a decimal rate and n in years); compound interest A = C(1 + t)^n.

Arithmetic mean of a list is the sum divided by the count; the median is the middle value after sorting (average of the two middle values when n is even).

Probability of an event = favourable outcomes divided by total equally likely outcomes; P(A or B) = P(A) + P(B) − P(A and B).

Pythagorean theorem a² + b² = c² holds only for right triangles; conversely, if a² + b² = c², the triangle is right-angled.

Area and volume formulas: triangle = ½ × base × height; circle = πr²; cylinder = πr²h; sphere = (4/3)πr³.

Mali gained independence on 22 September 1960; Modibo Keïta was the first president, and the 22 September is the national holiday.

The 2023 Constitution replaced the 1992 Constitution; it establishes the Fourth Republic and provides for a president, a government, and a bicameral or unicameral legislature as defined by the text.

Mali's capital is Bamako; the country is landlocked in West Africa, bordered by Algeria, Niger, Burkina Faso, Côte d'Ivoire, Guinea, Senegal, and Mauritania.

The Niger River crosses Mali from Guinea through Bamako, Ségou, Mopti, and Gao; the inner delta is a UNESCO-recognised wetland and a key economic zone.

Mali is a member of ECOWAS (CEDEAO), the African Union, the United Nations, the OIC, and the West African Economic and Monetary Union (UEMOA), using the CFA franc.

Key historical sites: Timbuktu (UNESCO World Heritage), Djenné and its Great Mosque, the Bandiagara Escarpment (Dogon country), and the tomb of Askia in Gao.

Mali's economy is dominated by gold, cotton, and livestock; gold is the leading export, and cotton is the main cash crop for rural households.

The pedagogical triangle links teacher, learner, and knowledge; didactics concerns the transposition of knowledge into teachable content, pedagogy concerns the management of learning.

Bloom's taxonomy orders cognitive objectives: remembering, understanding, applying, analysing, evaluating, creating; a lesson objective must name the observable verb and the level.

Piaget's stages: sensorimotor (0-2), preoperational (2-7), concrete operational (7-11), formal operational (11+); Vygotsky's zone of proximal development is the gap between what a learner can do alone and with support.

Formative assessment informs teaching during learning; summative assessment certifies achievement at the end; diagnostic assessment identifies prerequisites before instruction.

A lesson plan in Mali typically follows: rappel/prérequis, situation d'apprentissage, activités, synthèse, évaluation, and prolongements.

Constructivist teaching starts from a problem situation (situation-problème) and lets learners build the concept; error is treated as a resource, not a fault.

Classroom management rules: state expectations explicitly, use positive reinforcement, keep transitions short, and apply consequences consistently.

Valid argument forms: modus ponens (if P then Q; P; therefore Q) and modus tollens (if P then Q; not Q; therefore not P); affirming the consequent and denying the antecedent are fallacies.

A necessary condition must hold for the outcome; a sufficient condition guarantees it; the two are not interchangeable.

A counter-example disproves a universal claim; one example never proves a universal claim.

Correlation does not imply causation; alternative explanations include a third variable, reverse causation, and coincidence.

Ad hominem, straw man, false dilemma, slippery slope, appeal to authority, and circular reasoning are common fallacies to identify in a text.

A problem-solving sequence: read and restate the problem, identify givens and unknowns, choose a strategy, execute, verify, and check the answer against the question.

In a syllogism, the middle term must be distributed at least once; an undistributed middle produces an invalid conclusion.

The oral typically includes a motivation interview, a presentation of a short lesson or explication de texte, and questions on the Malian education system.

A motivation answer must state the subject taught, the level, and a concrete reason tied to the candidate's experience, not a generic statement about loving children.

A micro-lesson oral is structured as: objective, prior knowledge, problem, activity, synthesis, and assessment; the jury evaluates clarity, mastery, and interaction.

Communication criteria: audible voice, eye contact, structured speech with signposting (d'abord, ensuite, enfin), and controlled pace.

When asked an unfamiliar question, restate it, state what is known, propose a reasoned approach, and acknowledge limits; silence or invention scores lower.

Teaching aptitude is judged by the ability to anticipate learner errors, adapt the explanation to the level, and give a concrete classroom example.

Know the jury's framework: the concours oral evaluates motivation, subject mastery, communication, and awareness of the Malian school context.

A discipline-specific answer should include the competency, the content, and the evaluation criterion; the jury looks for alignment between the three.

In science subjects, a correct answer states the law, the conditions of application, and a numerical or experimental verification.

In literary subjects, a correct answer cites the text precisely, analyses a stylistic device, and links it to meaning and context.

In history and geography, dates, actors, causes, and consequences must be distinguished; a date alone is not an explanation.

In languages, a grammar answer must give the rule, an example, and a counter-example showing the limit of the rule.

In mathematics, the answer must show the reasoning, the units, and a verification step; a bare result loses marks.

Agreement of the past participle with pronominal verbs: elle s'est lavée (reflexive direct object) versus elle s'est lavé les mains (the object follows the verb).

Relative pronouns: qui = subject, que = direct object, dont = de + antecedent, où = place or time, lequel/laquelle = after a preposition.

Reported speech requires a tense shift: présent → imparfait, passé composé → plus-que-parfait, futur → conditionnel.

The passive voice transforms the direct object into the subject; the agent is introduced by par or de.

Punctuation: the comma separates, the semicolon balances, the colon announces; a comma never separates a subject from its verb.

Homophones: ces/ses/c'est/s'est; quel/quelle/qu'elle; peu/peux/peut; ni/n'y; si/s'y.

Linear equation ax + b = 0 has solution x = −b/a when a ≠ 0; when a = 0, the equation has no solution if b ≠ 0 and infinitely many if b = 0.

Quadratic ax² + bx + c = 0: discriminant Δ = b² − 4ac; two real roots if Δ > 0, one if Δ = 0, none if Δ < 0.

Thales' theorem: parallel lines cutting two transversals give proportional segments; the converse proves parallelism.

Trigonometry in a right triangle: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent; sin² + cos² = 1.

Volume of a cone = (1/3)πr²h; volume of a pyramid = (1/3) × base area × height.

A percentage change from V0 to V1 is (V1 − V0)/V0 × 100; a decrease of 25% is a multiplier of 0.75.

The President of the Republic is head of state and is elected by universal suffrage for a term set by the Constitution; the government is headed by a Prime Minister or a head of government as defined by the constitutional text.

The Constitutional Court rules on the constitutionality of laws and on electoral disputes; the Supreme Court heads the judicial order.

The Assemblée nationale holds legislative power; deputies are elected and vote laws and the budget.

The territorial organisation comprises regions, cercles, and communes, with elected councils and appointed governors and prefects.

The Ministry of National Education sets programmes, recruits and trains teachers through ENSup and IFM, and organises national examinations.

The Haut Conseil des Collectivités Territoriales represents local authorities under the constitutional framework.

Criterion-referenced assessment compares a learner to a defined competency; norm-referenced assessment compares learners to each other.

A valid assessment measures what it claims to measure; a reliable assessment gives consistent results across occasions.

Feedback is effective when it is specific, timely, and focused on the task rather than on the person.

Differentiation can vary content, process, product, or environment; it does not mean giving less to weaker learners.

A diagnostic test before a unit identifies prerequisites; remediation follows the identified gap, not a general review.

Motivation theories: Maslow (needs hierarchy), Deci and Ryan (intrinsic motivation and autonomy), Bandura (self-efficacy).

Negation rules: not (P and Q) = (not P) or (not Q); not (P or Q) = (not P) and (not Q); not (if P then Q) = P and not Q.

Contrapositive: (P → Q) is equivalent to (not Q → not P); the converse (Q → P) is not equivalent.

Quantifiers: not (for all x, P(x)) = there exists x such that not P(x); not (there exists x, P(x)) = for all x, not P(x).

A valid deductive argument has true premises guaranteeing a true conclusion; a sound argument is valid and has true premises.

Induction generalises from cases; abduction infers the best explanation; neither is deductively certain.

In a sequence problem, test the difference, the ratio, and the second difference before assuming a pattern.

Structure the answer: announce the plan, develop two or three points, and conclude with a link to the teaching role.

Use concrete classroom examples with the level and the subject named, which demonstrates teaching aptitude.

Manage time: a five-minute presentation needs about 600-700 spoken words, so rehearse with a timer.

Body language: stand or sit upright, keep hands visible, and avoid reading a full script.

Listen to the question to the end, reformulate it if needed, and answer the question asked rather than a prepared answer.

If you make an error, correct it explicitly; the jury evaluates self-correction positively.

Know the difference between the concours (recruitment) and the inspection (career evaluation) to answer questions on the professional framework.

The programme national defines competencies per cycle; the enseignement fondamental 2e cycle ends with the Diplôme d'Études Fondamentales (DEF).

The lycée leads to the Baccalauréat, with séries A (littéraire), B (économie), C and D (scientifique), and technical series.

The pédagogie convergente model uses the national language as a bridge to French, with a gradual transition in the early grades.

The competency-based approach (APC) organises learning around situations and resources, not around a list of content to cover.

A discipline-specific answer must connect the content to the Malian programme and to the level taught, not to a foreign curriculum.

The introduction has three moves: amorce (context), problématique (question), annonce du plan (structure).

Each developmental paragraph follows: idea, argument, example, and a mini-conclusion linking to the next part.

The conclusion answers the problématique, summarises the main results, and may open to a related question.

A commentaire composé analyses the text's themes, form, and effects; it does not paraphrase the text.

Transitions between parts must show the logical link (opposition, consequence, deepening), not simply announce the next part.

Quote briefly and accurately; a long quotation without analysis earns no marks.

Direct proof: assume the hypothesis and derive the conclusion by valid steps.

Proof by contradiction: assume the negation of the claim and derive an impossibility.

Proof by induction: verify the base case, assume the property at rank n, prove it at rank n+1.

Counter-example: a single case where the claim fails disproves a universal statement.

In geometry, a figure is not a proof; the reasoning must rest on theorems and given data.

Check units and orders of magnitude; an answer with the wrong unit is wrong even if the number is right.

Follow Malian institutions: the presidency, the government, the Assemblée nationale, the Constitutional Court, and the territorial collectivities.

Track regional issues: ECOWAS, the Sahel security situation, the AES (Alliance des États du Sahel), and relations with international partners.

Economic facts: gold and cotton exports, the CFA franc, and the role of remittances in the balance of payments.

Social facts: education enrolment, the school calendar, teacher recruitment, and the place of national languages in school.

Cultural facts: the Festival sur le Niger in Ségou, the Rencontres de Bamako (photography biennale), and Malian music and literature.

Use recent official sources: Journal Officiel, ministry communiqués, and national press, and date every fact you cite.

Behaviourism (Skinner): reinforcement increases behaviour, punishment decreases it; immediate feedback shapes learning.

Cognitivism: working memory is limited, so chunking and prior knowledge activation reduce cognitive load.

Socio-constructivism (Vygotsky): learning is mediated by language and social interaction; scaffolding is temporary support that fades.

Metacognition is knowledge about one's own learning; it is taught by modelling planning, monitoring, and self-evaluation.

Transfer is the application of learning to a new situation; it requires varied practice and explicit comparison of contexts.

Attribution theory (Weiner): attributing success to effort rather than to fixed ability supports persistence.

Restate the problem in your own words and identify the question actually asked.

List the givens, the unknowns, and the constraints; discard irrelevant information.

Choose a strategy: draw a diagram, work backwards, try a simpler case, or set up an equation.

Estimate the answer before computing, then compare the result with the estimate to catch errors.

Verify by substituting the answer back into the original conditions.

If stuck, change the representation (table, graph, diagram) rather than repeating the same calculation.

State the objective of the micro-lesson in one observable sentence with a measurable verb.

Announce the prerequisite and check it with a short question to the jury.

Present the problem situation before the rule; let the reasoning be visible.

Give one example, one counter-example, and one common learner error with the correction.

Close with a synthesis and an assessment question that matches the objective.

Invite questions and answer them briefly and directly, linking back to the lesson objective.

Identify the type of error: conceptual (wrong model), procedural (wrong step), or factual (wrong fact).

A conceptual error needs a new problem situation, not a repetition of the rule.

A procedural error needs a worked example with the step isolated and practised.

A factual error needs spaced retrieval practice, not a single rereading.

Ask the learner to explain the reasoning aloud; the explanation reveals the source of the error.

Record recurring errors to adjust the next lesson plan.

Distinguish denotation (literal meaning) from connotation (associated meaning); literary analysis uses both.

Figures of speech: métaphore (implicit comparison), comparaison (explicit), métonymie (substitution by association), hyperbole (exaggeration), litote (understatement).

Register: soutenu, courant, familier; the written exam requires courant to soutenu.

Avoid anglicisms and oral fillers; prefer precise French equivalents (par exemple, de plus, en revanche).

Word families and prefixes/suffixes help infer meaning in an unseen text.

Spelling of common academic words: développement, enseignement, évaluation, compétence, pédagogie.

Mean, median, and mode describe central tendency; the median resists extreme values better than the mean.

Range, variance, and standard deviation measure dispersion; variance is the mean of squared deviations.

A bar chart compares categories; a histogram represents continuous data in class intervals.

A percentage of a percentage multiplies the multipliers, not the percentages.

Sampling bias distorts a survey; a large sample does not correct a biased selection method.

Read the axis scale and the units before interpreting a graph.

Mali covers about 1,240,000 km², making it one of the largest countries in West Africa.

The Sahara covers the north (Kidal, Tombouctou, Gao); the Sahel and the Sudanian zone lie in the centre and south.

The Niger River is the main waterway; the inner delta floods seasonally and supports fishing, rice, and pasture.

Population is concentrated in the south, along the Niger, and around Bamako, Sikasso, and Ségou.

Climate ranges from Saharan (less than 200 mm rainfall) to Sudanian (over 800 mm) in the south.

Agriculture employs most of the population; cotton, millet, sorghum, rice, and livestock dominate.

A competency is mobilised in a situation; a lesson must therefore include a situation d'apprentissage, not only content.

The progression moves from the concrete to the abstract, from the known to the unknown, and from the simple to the complex.

The situation-problème must be accessible, challenging, and solvable with the resources available to learners.

Group work needs a defined task, roles, and a product; otherwise it becomes noise.

The blackboard plan must show the structure of the lesson, not the full text of the teacher's speech.

Evaluation questions must match the level of the stated objective (same Bloom level or lower for a first check).

Identify the claim (thesis), the arguments, and the evidence separately.

Check whether the evidence supports the claim or only illustrates it.

Detect loaded language and appeals to emotion that replace argument.

Ask what is assumed but not stated; hidden premises carry the argument.

Test the argument by constructing a counter-example or an alternative explanation.

Distinguish the author's position from the positions the author reports.

Answer the question asked with a concrete story: situation, action, result.

Link personal experience to the subject taught and to the level you want to teach.

Name the Malian context explicitly: bilingual education, large classes, and resource constraints.

State a realistic professional project: teaching, training, and contributing to the school community.

Avoid claiming official affiliation with the ministry or the school; describe your own preparation.

Prepare two or three questions to ask the jury about the training programme.

Connect each concept to a classroom example at the level taught, with the exact wording of the question asked to learners.

Anticipate two or three learner errors for each concept and prepare the correction.

Prepare a short exercise and its expected answer to demonstrate mastery during the oral.

Know the textbooks and official documents used in Malian schools for your subject.

State the evaluation criterion for each exercise: correctness, method, or presentation.

Read the questions before the text to target the reading.

Locate the answer in the text and quote the exact line; paraphrase only after quoting.

Distinguish explicit information from what the author implies.

Identify the type of text: narrative, argumentative, descriptive, explanatory, or prescriptive.

Note the enunciative markers: who speaks, to whom, and with what intention.

Answer in complete sentences and respect the word limit of the exercise.

A function associates each x in its domain with exactly one image f(x).

The graph of f(x) = ax + b is a line with slope a and y-intercept b.

The graph of f(x) = ax² + bx + c is a parabola; the vertex is at x = −b/(2a).

f is increasing where its derivative is positive; a zero of the derivative marks a local extremum.

The equation f(x) = k has as many solutions as the line y = k intersects the graph of f.

Read intercepts, slopes, and extrema from a graph before computing.

The Ministère de l'Éducation Nationale coordinates education; the Ministère de l'Enseignement Supérieur et de la Recherche Scientifique handles higher education.

The school system includes the enseignement fondamental (9 years), the lycée (3 years), and higher education (Licence-Master-Doctorat).

The DEF (Diplôme d'Études Fondamentales) closes the fundamental cycle; the Baccalauréat closes the lycée.

Teacher training is provided by ENSup for secondary teachers and by IFM for fundamental education teachers.

The rentrée scolaire normally occurs in October, and the school year ends in June.

The Académie d'Enseignement and the CAP (Centre d'Animation Pédagogique) support teachers locally.

A checklist records the presence or absence of observable behaviours.

A rubric describes levels of quality for each criterion and makes grading transparent.

A portfolio collects learner work over time and documents progress.

Self-assessment and peer assessment develop metacognition when the criteria are explicit.

A quiz at the end of a lesson checks the objective; a quiz at the start checks the prerequisite.

Item difficulty and discrimination indices help refine a test after administration.

Arithmetic sequence: u(n) = u(0) + nr; sum of n terms = n × (first + last)/2.

Geometric sequence: u(n) = u(0) × q^n; sum = u(0) × (1 − q^n)/(1 − q) when q ≠ 1.

Fibonacci-type sequences add the two preceding terms; check the first three terms before generalising.

A pattern is a conjecture until it is proved; test at least four terms.

In a grid or matrix problem, check rows, columns, and diagonals separately.

In a logic puzzle, list the possibilities and eliminate contradictions systematically.

Read the text aloud clearly, then announce the project de lecture in one sentence.

Analyse the text in order, moving from observation to interpretation.

Name the stylistic device and then explain its effect on meaning.

Link the text to its context (author, period, genre) only when it illuminates the passage.

Conclude by answering the project de lecture.

Handle jury questions by returning to the text for evidence.

Observation, hypothesis, experiment, results, and conclusion form the experimental method taught in Malian science classes.

A hypothesis must be testable; a variable must be isolated to attribute an effect.

A control group receives no treatment or a placebo; the experimental group receives the treatment.

A measurement includes an uncertainty; report it with the unit.

A conclusion states whether the hypothesis is confirmed and identifies the limits of the experiment.

A scientific answer distinguishes a fact, a law, and a theory.

Avoid the pronoun on when a precise subject is available; on obscures responsibility.

Avoid the passive when the agent is known; the active voice is clearer.

Do not stack subordinate clauses; split long sentences.

Use one idea per paragraph and one paragraph per idea.

Relire for agreement, punctuation, and spelling before submitting.

Respect the required length: too short loses content marks, too long loses structure marks.

1 km = 1,000 m; 1 m² = 10,000 cm²; 1 m³ = 1,000 L; 1 hectare = 10,000 m².

Speed = distance/time; convert km/h to m/s by dividing by 3.6.

Density = mass/volume; 1 g/cm³ = 1,000 kg/m³.

Time: 1 h = 60 min = 3,600 s; convert minutes to hours by dividing by 60.

Scale: a map scale of 1/50,000 means 1 cm represents 500 m.

Always write the unit in the final answer and check its coherence.

Mali is a founding member of the Organisation de l'Unité Africaine (now African Union) and a member of the United Nations since 1960.

Mali belongs to ECOWAS (CEDEAO), UEMOA, and the CFA franc zone, which anchors its monetary policy.

The AES (Alliance des États du Sahel) links Mali, Burkina Faso, and Niger in a security and cooperation framework.

Mali cooperates with the UN, the African Union, and bilateral partners on security and development.

The country is a member of the Organisation of Islamic Cooperation and of the Francophonie.

Know the difference between membership in regional economic organisations and in security alliances.

Intrinsic motivation comes from interest and autonomy; extrinsic motivation comes from rewards and grades.

Clear goals and immediate feedback increase persistence.

A safe climate allows errors to be discussed without humiliation.

High expectations communicated to all learners support achievement (Pygmalion effect).

Cooperative learning requires individual accountability, not only a group product.

Praise the process (strategy, effort) rather than fixed ability.

Rewrite the argument in standard form: premises, then conclusion.

Check the form, not the content: a valid form with false premises is still valid but not sound.

Test with a counter-example: same form, true premises, false conclusion → invalid.

Identify the middle term and check its distribution in syllogisms.

Watch for equivocation: the same word used with two meanings.

In multiple-choice logic, eliminate options that reverse the implication or confuse necessary and sufficient.

Why teach this subject? Answer with a concrete experience and a link to the Malian programme.

How do you handle a class of 80 learners? Answer with grouping, peer tutoring, and a clear routine.

How do you assess a competency? Answer with a situation-based task and a rubric.

What is the role of the national language in your teaching? Answer with the bilingual education model.

How do you handle a learner who fails repeatedly? Answer with diagnosis, remediation, and follow-up.

What is your professional project? Answer with training, classroom practice, and contribution to the school.

A literary text is analysed through genre, register, narrator, focalisation, and figures of speech.

Narrative voice: internal focalisation (the narrator knows one character's thoughts), external (only observable facts), omniscient (all).

Malian literature includes works by Seydou Badian, Mongo Beti, and Amadou Hampâté Bâ; know the authors and their contexts.

Oral tradition (épopées, contes, griots) is a major source of Malian literary heritage.

A grammar answer must state the rule, give an example, and identify the exception.

In language teaching, the four competencies are oral comprehension, oral production, written comprehension, and written production.

A thesis is defended with arguments and examples; a refutation anticipates the opposing view.

Concession: acknowledge a valid point before rejecting it (certes... mais).

Types of argument: authority, example, analogy, causal, and consequence.

Avoid circular arguments that restate the conclusion as a premise.

Use precise connectors: d'une part/d'autre part, en outre, en revanche, par conséquent, en définitive.

A conclusion that introduces a new argument is a structural error.

Factorisation: a² − b² = (a − b)(a + b); a² + 2ab + b² = (a + b)².

A system of two linear equations is solved by substitution or elimination; check the solution in both equations.

Inequalities: multiplying or dividing by a negative number reverses the inequality sign.

Absolute value |x| = a has two solutions x = a and x = −a when a > 0.

A square root is defined only for non-negative numbers; √(a²) = |a|.

Check the domain of an equation with a denominator: exclude values that make it zero.

The flag is green, yellow, and red vertical bands; the motto is 'Un Peuple, Un But, Une Foi'.

The national anthem is 'Le Mali'; the national holiday is 22 September.

The national languages include Bambara, Fulfulde, Songhay, Tamasheq, Soninké, and Dogon, among others.

The griot tradition (jeliw) preserves oral history and music, and remains a cultural institution.

Malian music and literature are internationally recognised, from Salif Keïta to Amadou Hampâté Bâ.

Know the symbols and their meanings to answer general knowledge questions precisely.

Inclusive education adapts the environment and the instruction to all learners, including those with disabilities.

Universal design for learning proposes multiple means of representation, expression, and engagement.

A learner with a hearing impairment needs visual supports and a seat near the teacher.

A learner with a visual impairment needs oral descriptions and adapted documents.

Gifted learners need enrichment, not more of the same exercises.

Referral to specialised services is part of the teacher's responsibility when needs exceed classroom resources.

Expected value = sum of each outcome multiplied by its probability.

A decision is rational when it maximises expected value under the stated probabilities.

Base-rate neglect: ignoring the prior probability when interpreting a test result.

The gambler's fallacy assumes independent events compensate for past outcomes.

Conditional probability: P(A|B) = P(A and B)/P(B).

A small probability of a large loss can dominate the expected value; consider risk, not only the mean.

Open with a one-sentence announcement of the subject and the plan.

Develop two or three points, each with an example.

Use signposting: premièrement, deuxièmement, en conclusion.

Keep the conclusion short and answer the announced question.

Manage stress with slow breathing and a rehearsed opening sentence.

Practise with a timer and record yourself to check pace and clarity.

A history answer distinguishes causes, actors, events, and consequences, and dates each element.

A geography answer combines location, physical factors, human factors, and dynamics.

A map must have a title, a legend, a scale, and an orientation.

A document analysis identifies the nature, author, date, context, and message of the source.

Compare sources and note their convergences and divergences.

A conclusion answers the question asked, not a summary of the content.

A résumé preserves the order of ideas and the enunciative system of the source.

A synthesis confronts several documents around a common question and organises them thematically.

A summary avoids examples and repetitions and keeps only the main ideas.

Respect the length limit: about one quarter of the source for a résumé.

Use reported speech carefully; do not add personal opinion in a summary.

A synthesis needs an introduction, thematic parts, and a conclusion that answers the question.

Multiply by 5: multiply by 10 and divide by 2.

Multiply by 25: multiply by 100 and divide by 4.

Square a number ending in 5: (n5)² = n(n+1) followed by 25.

Percentage: 15% of 240 = 10% (24) + 5% (12) = 36.

Estimate before computing to catch gross errors.

Check divisibility: by 3 if the digit sum is divisible by 3; by 9 if the digit sum is divisible by 9.

Gold is the leading export; industrial and artisanal mining employ many workers.

Cotton is the main cash crop and supports rural incomes in the south.

Livestock and pastoralism dominate the Sahelian zone and the inner delta.

Remittances from Malians abroad are a major source of foreign currency.

The CFA franc is pegged to the euro, which limits monetary policy autonomy.

Development challenges include security, climate variability, and access to education and health services.

An evaluation must match the objective: if the objective is 'apply', the test asks for application, not recall.

A table of specifications balances content and cognitive levels.

A grading rubric states criteria and levels before the task is given.

Feedback should indicate what is correct, what is wrong, and how to improve.

Analysing results by item identifies which concepts need reteaching.

Keep records of assessments to document learner progress over the year.

Ambiguity arises from polysemy, unclear reference, or missing quantifiers.

Specify quantifiers: 'all', 'some', 'none', and 'at least one' change the truth conditions.

Distinguish 'only if' (necessary) from 'if' (sufficient).

Define terms before arguing; undefined terms hide contradictions.

Watch for scope ambiguity: 'every student read a book' can mean one book or several.

Rephrase the claim in formal notation to expose its logical structure.

Answer with a definition, then an example, then a limit or exception.

Use precise vocabulary of the discipline and define technical terms briefly.

Show the reasoning aloud so the jury follows the method.

If you do not know, say so and propose how you would find out.

Link the answer to the classroom: how would you teach this concept?

Keep answers to one or two minutes and check whether the jury wants more.

Manipulatives and diagrams help learners move from the concrete to the abstract.

The transition from arithmetic to algebra requires explicit work on the meaning of a letter.

A theorem must be distinguished from its converse and from its contrapositive.

Exercises should include a routine item, a problem situation, and an error-analysis item.

Mental calculation and estimation are taught explicitly, not left to chance.

Assessment items must state the expected form of the answer (exact value, unit, justification).

Accord of the adjective: agrees in gender and number with the noun it qualifies.

Accord of the verb: agrees with the subject; watch collective subjects and inverted subjects.

Homophones: a (verb) / à (preposition); ou (or) / où (where); ce (demonstrative) / se (reflexive).

Plural of compound nouns: noun + noun → both plural (des choux-fleurs); verb + noun → invariable noun (des tire-bouchons).

The infinitive after a preposition: il commence à pleuvoir; il veut partir.

The past participle used alone agrees like an adjective.

Direct proportionality: y/x = constant; the graph is a line through the origin.

Inverse proportionality: xy = constant; doubling x halves y.

A scale factor k multiplies lengths by k, areas by k², and volumes by k³.

A percentage is a proportion out of 100; a rate is a proportion out of a base unit.

Cross-multiplication solves a/b = c/d: ad = bc.

Check that the units of a rate match the question (per hour, per km, per person).

Citizenship education covers rights, duties, the rule of law, and the functioning of democratic institutions.

The Constitution guarantees fundamental rights and defines the organisation of the state.

The justice system includes courts of first instance, appeal courts, the Supreme Court, and the Constitutional Court.

Decentralisation transfers competences to regions, cercles, and communes with elected councils.

Civil society and the press play a role in public debate and accountability.

Know the difference between the executive, legislative, and judicial powers.

The teacher is a designer of situations, a mediator, an assessor, and an educator.

Planning includes the annual progression, the unit plan, and the daily lesson plan.

Classroom routines reduce lost time and support a calm climate.

Communication with families supports learner motivation and attendance.

Professional development includes observation, self-evaluation, and participation in pedagogical meetings.

Ethics: fairness, confidentiality, and respect for learners' dignity.

Work backwards from the target when the forward path is unclear.

Try a simpler case with smaller numbers to reveal the structure.

Draw a diagram or table to make relations visible.

Use the pigeonhole principle: n+1 objects in n boxes force a box with two objects.

Check parity, divisibility, and bounds to eliminate impossible answers.

Verify the solution satisfies every condition, not only the first one.

Prepare a two-minute self-presentation: background, subject, motivation, project.

Rehearse the micro-lesson with a timer and a peer who asks jury-style questions.

Review the Malian programme of your subject and the level you will teach.

Prepare three concrete classroom examples and three common learner errors.

Check logistics: documents, dress, arrival time, and the location of the examination.

Finish with a clear, confident closing sentence that summarises your motivation.