180 minutes · 130 points. Les réponses exigent des calculs, des preuves et un raisonnement explicite ; elles ne peuvent pas être devinées par élimination.
10 exercices utilisent des scénarios bêta communs et nécessitent une rédaction propre à chaque matière ainsi qu’une revue académique.
Exercice 1: English language
10 points
A school, community or employer must make a decision involving english language, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 10 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 2: Mathematics
10 points
A school art group mixes two colours of paint in the ratio 2:7. It plans a 180 L batch, then estimates that 15% of the mixture will be lost during transfer. The ratio applies to the mixture before and after transfer only if both colours are lost in the same proportion.
Données et documents
- Colour A : colour B = 2 : 7; planned batch = 180 L.
- Transfer loss = 15% of the whole batch. Assume both colours are lost uniformly.
- A learner claims that subtracting 15 L gives the usable volume and that 2/7 of it is colour A.
Calculate the original volume of each colour, the usable total volume and the usable volume of each colour. Show the ratio-unit and percentage steps with units, and check that both pairs of volumes add to their respective totals.
Approfondissement : Explain both errors in the learner's claim and what would change if the two colours were lost at different rates.
Critères et éléments de correction
- 2 marks: nine ratio parts and 20 L per part
- 2 marks: original volumes 40 L and 140 L
- 2 marks: 15% loss is 27 L; usable total 153 L
- 2 marks: usable volumes 34 L and 119 L, with additive checks
- 2 marks: explains percentage-versus-fixed loss, part-to-part versus part-to-whole ratio, and the uniform-loss assumption
- Total ratio parts = 2 + 7 = 9; each part is 180 ÷ 9 = 20 L.
- Before transfer: A = 2 × 20 = 40 L and B = 7 × 20 = 140 L; check 40 + 140 = 180 L.
- Loss = 0.15 × 180 = 27 L, so usable volume = 180 − 27 = 153 L.
- Uniform loss leaves 85% of each colour: A = 0.85 × 40 = 34 L, B = 0.85 × 140 = 119 L; check 34 + 119 = 153 L.
- 15% of 180 is 27 L, not 15 L. A is 2/9 of the whole, not 2/7; 2/7 compares A with B. Unequal losses would change the usable ratio.
Exercice 3: Integrated science
10 points
A school, community or employer must make a decision involving integrated science, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 16 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 4: Physics foundations
10 points
A school, community or employer must make a decision involving physics foundations, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 19 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 5: Physique-chimie — organisation et transformations de la matière
20 points
Une association scolaire compare deux boissons acides simulées afin de préparer une affiche scientifique. Elle dispose de mesures de pH, de masses volumiques et d’informations incomplètes sur leur composition.
Données et documents
- Boisson A : pH 2,8 ; masse de 102 g pour 100 mL. Trois mesures de pH donnent 2,7 ; 2,8 ; 2,9.
- Boisson B : pH 3,4 ; masse de 100 g pour 100 mL. L’étiquette indique une dilution avant mesure, sans préciser le facteur de dilution.
- Un document affirme que la boisson « la plus dense est nécessairement la plus acide », sans fournir de méthode ni de source.
Calculez la masse volumique de chaque boisson, analysez la série de pH de A, puis évaluez l’affirmation du document. Rédigez une conclusion qui distingue clairement ce que les données établissent, ce qui reste incertain et la mesure supplémentaire la plus utile.
Approfondissement : Expliquez pourquoi le pH mesuré après une dilution non documentée ne permet pas une comparaison directe et proposez une manière sûre de rendre les données comparables dans une simulation supervisée.
Critères et éléments de correction
- Calculs de masse volumique corrects avec unités
- Traitement transparent de la variabilité des trois mesures
- Distinction entre masse volumique et acidité
- Effet de la dilution identifié sans inventer le facteur manquant
- Conclusion conditionnelle, sûre et proportionnée aux preuves
- La masse volumique de A est 1,02 g/mL et celle de B est 1,00 g/mL.
- Pour A, la moyenne des trois pH est 2,8 et l’étendue est 0,2 ; conserver les valeurs brutes montre la variabilité.
- Les données montrent que A est légèrement plus dense et que son pH mesuré est plus faible, mais elles ne démontrent pas une relation causale entre densité et acidité.
- Le facteur de dilution de B manque : son pH mesuré ne représente pas nécessairement l’échantillon initial et la comparaison directe est invalide.
- Une réponse solide demande des échantillons préparés selon le même protocole, des instruments contrôlés et des mesures répétées sous supervision, sans dégustation ni manipulation non autorisée.
Exercice 6: Biology and health
10 points
A school, community or employer must make a decision involving biology and health, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 25 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 7: History
10 points
A school, community or employer must make a decision involving history, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 28 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 8: Geography
10 points
A school, community or employer must make a decision involving geography, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 31 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 9: Civic education
10 points
A school, community or employer must make a decision involving civic education, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 34 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 10: Digital literacy
10 points
A school, community or employer must make a decision involving digital literacy, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 37 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 11: Creative arts
10 points
A school, community or employer must make a decision involving creative arts, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 40 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence
Exercice 12: Physical education and wellbeing
10 points
A school, community or employer must make a decision involving physical education and wellbeing, but the information provided is incomplete and two stakeholders disagree about the strongest conclusion.
Données et documents
- Source A provides a dated quantitative claim but does not explain its sampling method.
- Source B provides a detailed professional account but may reflect one organisation’s interests.
- A new constraint changes one cost, risk or assumption by 43 percent.
Write a reasoned response that selects and applies an appropriate method, uses the evidence precisely, addresses the strongest alternative and reaches a conditional recommendation.
Approfondissement : State what additional evidence could overturn your conclusion and how you would verify it.
Critères et éléments de correction
- Method is relevant and explained
- Evidence is interpreted rather than copied
- Calculations, terminology or citations are accurate
- Alternative and uncertainty are addressed
- Conclusion follows from the analysis
- Define the decision and constraints
- Evaluate the reliability and relevance of each source
- Apply the discipline-specific method step by step
- Compare at least two defensible interpretations
- Give a checked conclusion with limitations and next evidence