European Baccalaureate Mathematics (3-period course) study materials
European Baccalaureate Mathematics (3-period course) study resources

Five written papers, one compulsory near-miss

European Baccalaureate Mathematics (3-period course) · Put your knowledge to work in context.

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Five written papers, one compulsory near-miss

At a mock Baccalaureate board meeting, a candidate following the 3-period Mathematics course presents five written papers, each marked out of 100: L1 78, L2 66, Mathematics 39, Option A History 68, Option B Biology 54. The school's mock policy states: the written component is passed if the total is at least 300/500; a mark below 40 in any compulsory paper (L1, L2, Mathematics) creates a compulsory-subject alert; one alert may be compensated only if the total is at least 320 and the board agrees that the paper's mark is within 3 points of the pass mark; otherwise the candidate must sit a compensatory oral in that subject. The candidate already has three oral papers scheduled (L1, L2, History through L2). The board has 15 minutes and must decide whether to pass the written component, require a compensatory oral in Mathematics, or fail it. The Mathematics script shows strong algebra but a blank final 12-mark question due to time loss.

1. Calculate the written total and determine whether the candidate passes the written component under the mock policy. Show the rule checks in order.

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Total = 78 + 66 + 39 + 68 + 54 = 305.

Rule checks in order:

  1. Total at least 300/500: 305 >= 300, so this check passes.
  2. Compulsory paper below 40: L1 78 and L2 66 are clear; Mathematics is 39, so there is exactly one compulsory-subject alert.
  3. Compensation condition for one alert: the total must be at least 320 and the paper must be within 3 points of 40. The Mathematics mark is within 3 points (39 is 1 point below 40), but the total is 305, which is below 320. The second condition fails.

Therefore the written component is not passed outright. The board must require a compensatory oral in Mathematics, or treat the written component as failed if no such oral can be arranged. The candidate cannot be passed merely because the total exceeds 300.

2. The board wonders whether the existing History oral could substitute for a compensatory Mathematics oral. Advise the board, explaining why this is or is not permissible and what the candidate should do.

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The existing History oral cannot substitute. The policy says the candidate must sit a compensatory oral in that subject, meaning Mathematics. The History oral assesses History taught through L2, not the 3-period Mathematics syllabus, so it cannot provide evidence that the Mathematics near-miss has been overcome.

The three scheduled oral papers are fixed components, not a pool that the board can reassign. If the board cannot add a fourth oral, it should either treat the written component as failed or seek an explicit documented derogation; it should not silently repurpose the History oral. The candidate should prepare for a short Mathematics oral focused on the script's weakness, and the board should record the scheduling exception and the evidence used.

3. If the board requires a compensatory oral in Mathematics, propose two preparation priorities based on the script evidence and explain how each would be assessed.

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Two priorities follow directly from the script. First, the blank final 12-mark question points to time management and the ability to start a multi-step problem under pressure. Preparation should use timed questions with a hard stop, so the candidate practises writing the first method steps rather than losing all 12 marks. In the oral, this would be assessed by giving a fresh multi-part problem and asking the candidate to outline the opening two minutes and the method marks available.

Second, the script shows strong algebra but an unfinished final question, so the candidate should rehearse explaining algebraic steps aloud: why a manipulation is valid, what is being assumed, and how to check a result. The oral assessor would ask the candidate to solve a short algebraic problem and justify each step, awarding credit for method and communication rather than only the final answer. The candidate should also practise stating when a calculator is useful and when it is not, because the written paper allowed one.