Fermi Questions
Order-of-magnitude estimation questions used in quant and trading interviews, break the unknown into parts, reason to a defensible answer, and track your progress as you solve.
- The Office Skyline
- The Shoreline Problem
- The Sidewalk Business
- The Tollbooth Deal
- The Weight of a Full Bathtub
- The Weight of a Million Dollars
- The Wired Tower
- The Workday Peak
- The Working Cab
- The Working Fleet at Sea
- The Worldwide Box Office
- Toothpaste Tubes in a Lifetime
- Waking a Nation
- Wall-to-Wall Packing
- Water on Every Block
- Weighing a Skyline Icon
- Years Spent Asleep
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What are Fermi questions?
Fermi questions ask you to estimate a quantity you can’t look up, like “how many piano tuners are there in Chicago?”, by breaking it into parts you can reason about and combining sensible assumptions. Trading and quant interviewers love them because they reveal how you decompose a problem, handle uncertainty, and sanity-check a number under pressure.
On Tradermath, each question is graded by order of magnitude: get within a factor of ten and you’re on track. Work through the curated set, reveal hints when you’re stuck, and compare your estimate against a full worked solution to build the instinct that matters most in interviews.