Oral Mock Exam - How It Works

BFP Mathematics - Preparing for the Oral Examination

Author

Dr. Nikolai Heinrichs & Dr. Tobias Vlćek

The Oral Exam

Why an Oral Exam?

A second chance to show what you can do.

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  • The written exam tests speed and precision under pressure
  • The oral tests understanding - can you explain the maths?
  • You talk through your reasoning; we listen to how you think

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This is a conversation, not a written test. We want you to succeed.

The Format at a Glance

You will work on two separate topics.

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Topic 1 - Block A Topic 2 - Block B
Preparation 30 min, on-site None - spontaneous
Subject One area A different area
You start by Presenting Discussing

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Both topics can come from the whole course.

The Timeline

  1. Preparation (30 min): You receive the Block A task + material and prepare notes
  2. Block A (~10 min): You present your solution, then we ask follow-up questions
  3. Block B (~10 min): We give you a new topic; a discussion develops

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Only Block A is prepared. Block B is genuinely on the spot.

Block A: The Prepared Topic

Block A - Step by Step

You get a task sheet and 30 minutes.

  • Work through the tasks; make notes, not a full script
  • Then present in free speech - explain what you do and why
  • Questions come after your presentation

Presentation quality counts too: structure, clarity, correct language.

Block A - What Good Looks Like

  • A clear structure: state the goal, the method, then the result
  • You name the concepts (“this is the break-even point because…”)
  • You interpret results in context, not just numbers
  • When asked, you can go one step deeper than your notes

Block B: The Spontaneous Topic

Block B - Step by Step

A new topic, no preparation.

  • Deliberately a different area than Block A
  • We start with a small prompt or question
  • A discussion develops with follow-up questions
  • Think out loud - we follow your reasoning, not just the answer

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Stuck? Say what you do know and how you’d approach it. That counts.

Assessment

The Three Requirement Levels

Every exam moves through three levels.

  • Level I - Reproduce: recall facts and apply learned procedures
  • Level II - Apply: transfer your knowledge to a comparable situation
  • Level III - Evaluate: justify, interpret, and judge in a new situation

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We expect all of Level I and II, with glimpses of Level III for top marks.

How It Is Graded

Grade Means
Sufficient (5 pts) You pass - basics secure, on-task, organised
Good (11 pts) Independent, connected, critical reflection

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You must reach at least “sufficient” (5 points) to pass.

Tools & Tips

What You May Use

  • Writing paper - provided
  • A calculator - provided if needed
  • The questions are designed so that no aids are really necessary

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The examiner cares more about what you calculate than the arithmetic. Set up the right approach - the number is secondary.

Presenting Well

  • Talk from notes, not a written-out text
  • Open with the goal, then the method, then the result
  • Use the correct terms - in German and English where you know them
  • A wrong turn is fine: notice it, correct it, move on

How to Practise

Use the oral mock sets.

  • Take a Block A sheet, give yourself 30 minutes, then present out loud
  • Have a partner ask the follow-up questions from the examiner key
  • Then try a Block B topic cold - no preparation
  • Rotate sets so every practice exam is unseen

You Are Ready For This

  • You have seen all of this material before
  • The oral rewards understanding, which you can build by talking it through
  • Prepare Block A calmly; trust your reasoning in Block B

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Good luck - you’ve got this!