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.

  • 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

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.

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

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

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

Block A: Prepared

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: Spontaneous

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

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

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

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

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

Good luck - you’ve got this!