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Mental Math Estimation

43 mental math estimation problems ranked by difficulty, drawn from Jane Street, Optiver, and SIG quant interview rounds.

Overview

About mental math estimation questions in quant interviews

Mental Math Estimation is one of the highest-frequency categories in quant interviews. Jane Street, Optiver, and SIG lean on this material because it filters candidates fast: if your reasoning under uncertainty is shaky, the rest of the interview rarely recovers. The 43 mental math estimation questions on this page are sequenced from easy to hard so you can build pattern recognition before facing problems with deliberate ambiguity. Most interviewers reuse the same handful of setups, so the goal is to identify the structure within seconds, not to invent a solution from scratch.

How to study this topic

A path that works

  1. 1

    Start with the easy set

    Warm up with the 15 easy mental math estimation questions. Quick wins build pattern recognition before complexity ramps.

  2. 2

    Drill the medium tier next

    22 medium questions sit in the sweet spot where most interview questions cluster. Time yourself, then redo any you missed two days later.

  3. 3

    Stress-test on hard problems

    6 hard questions simulate the on-site round. Skip looking at solutions for at least 20 minutes, then write up your approach.