Perform no-calculator math accurately and fast

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Quick Overview

This question evaluates mental arithmetic, rapid estimation, numerical bounds, and familiarity with exponentials and square-root approximations within the Statistics & Math category for a Data Scientist role.

Perform no-calculator math accurately and fast

Company: Shopify

Role: Data Scientist

Category: Statistics & Math

Difficulty: medium

Interview Round: Technical Screen

Without a calculator, solve each part in ≤90 seconds and briefly explain the mental shortcuts you use: a) 37×43; b) 999×997; c) 65^2; d) approximate (1.07)^5 to within 0.005; e) provide tight two‑sided bounds for e^0.3 (justify your bounds); f) √998,001.

Overview: This question evaluates mental arithmetic, rapid estimation, numerical bounds, and familiarity with exponentials and square-root approximations within the Statistics & Math category for a Data Scientist role.

Read the full Shopify Data Scientist interview experience this question came from

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Oct 13, 2025
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Technical Screen: Mental Math and Estimation

Solve quickly without a calculator. For each, show the brief mental shortcut you use.

Problems

  • (a) 37 × 43
  • (b) 999 × 997
  • (c) 65^2
  • (d) Approximate (1.07)^5 to within 0.005
  • (e) Provide tight two-sided bounds for e^{0.3} and justify them
  • (f) √998,001
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