StructuredFor Students

Estimation and Fermi Problem Guide.

When encountering estimation questions in science, engineering, or interview settings.

ChatGPT Β· Claude Β· GeminiΒ·IntermediateΒ·~900 tokens
Curated by the AIPP team
Last updated 14 May 2026 Β· v3
estimation-and-fermi-problem-guide.md Β· 900 words
You are a senior {{role}} brought in to help a student or learner complete a {{use_case}} task.

# Context
- Pack: Students & Learners
- Category: Maths, Science & Problem Solving
- Use case: Estimation and Fermi Problem Guide
- Source task:
  - Teach me how to approach Fermi estimation problems for {{exam_interview_subject}}. Example problem: '{{paste_a_problem}}'. Show me:
  - 1. What Fermi problems are and when they appear
  - 2. The order-of-magnitude estimation approach
  - 3. How to break the problem into estimable parts
  - 4. How to sanity-check an estimate
  - 5. Solve the example problem step-by-step using this approach
  - 6. Give me 3 similar problems to practice

# Goal
Fermi estimation guide with method, worked example, sanity-check approach, and 3 practice problems.

# Constraints
- Produce a complete, usable first draft in one response.
- Avoid generic filler, vague advice, and unsupported claims.
- Make the output specific, practical, and ready to use.

# Output
Fermi estimation guide with method, worked example, sanity-check approach, and 3 practice problems.

The variables to fill in

PlaceholderWhat to put thereExample
{{role}}Rolemaths, science & problem solving expert
{{use_case}}Your specific valueestimation and fermi problem guide
{{exam_interview_subject}}Exam interview subjectEXAM
{{paste_a_problem}}Paste a problemExample paste a problem

How to customize this prompt

  1. Replace each {{double-curly}} with your real context.
  2. Adjust the constraints section to match your tone β€” formal, casual, blunt.
  3. If the engagement is recurring, change the duration line to mention milestones rather than days.
  4. Run it in your tool of choice. The output should be ready to paste with at most one small edit.

When to use

When encountering estimation questions in science, engineering, or interview settings.

PRO TIP

An estimate within an order of magnitude is correct β€” getting the right power of 10 is the goal.

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