Guide11 min•Updated 2025-01-21

Case Math for Non-Business Backgrounds: Quick Start

Engineering, science, or humanities? Learn the minimum business math for cases in 10 days. Translate formulas to plain English + fast ramp-up plan.

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Coming from engineering, science, or humanities? Your analytical skills are assets—but business terminology might feel foreign. This guide bridges that gap.

Why Non-Business Backgrounds Struggle

The math itself isn't harder. The challenges are:

  1. Unfamiliar language: "Contribution margin" vs "profit per unit"
  2. Business context: What does a "good" margin look like?
  3. Speed with business calculations: You haven't done these daily for years

The good news: Pure math skills transfer. You just need to learn the vocabulary and practice the patterns.

The Minimum Business Concepts You Must Know

Profitability Basics

Revenue: Money from selling things. Revenue = Price × Quantity

Costs:

  • Fixed costs: Don't change with volume (rent, salaries)
  • Variable costs: Change with volume (materials, shipping)
  • COGS: Cost of Goods Sold (direct production costs)

Margins:

  • Gross Margin: (Revenue - COGS) / Revenue
  • Operating Margin: Operating Profit / Revenue
  • Net Margin: Net Profit / Revenue

Growth Metrics

Growth Rate: (New - Old) / Old × 100%

CAGR: Compound Annual Growth Rate

  • Smooth annual rate over multiple years
  • Quick estimate: If something doubles in n years, CAGR ≈ 72/n

Investment Metrics

ROI: (Gain - Investment) / Investment × 100%

Payback Period: Investment / Annual Return

Breakeven: Fixed Costs / (Price - Variable Cost per Unit)

10-Day Ramp-Up Plan

Days 1-2: Learn the Language

  • Read the Complete Math Guide
  • Create flashcards for key formulas
  • Practice translating business terms to plain English

Days 3-4: Basic Business Math

  • Mental Math Sprints (Easy difficulty) — Build speed
  • Focus on percentages and ratios
  • Practice calculating margins

Days 5-6: Core Formulas

  • Memorize breakeven, ROI, margin formulas
  • Work through 10 Case Math Drill questions
  • Check explanations to understand business context

Days 7-8: Integration

  • Full practice cases with math
  • Focus on recognizing which formula to use
  • Practice explaining business implications

Days 9-10: Speed & Polish

  • Mental Math Sprints (Medium difficulty)
  • Timed Case Math Drills
  • Review weak areas

"Translate This" Exercises

Practice converting business-speak to formulas:

Business QuestionYour Translation
"Is this product profitable?"Revenue - Costs > 0?
"What's the unit economics?"Price - Variable Cost per Unit
"How long until we make back our investment?"Investment / Annual Profit
"What's driving the margin decline?"Costs up or Price down?
"Should we enter this market?"Potential Revenue × Our Share × Margin > Investment?

How to Combine This with Your Strengths

Engineers

  • Strength: Structured problem-solving, comfort with numbers
  • Apply it: Use your precision, but don't over-engineer. "Good enough" estimates are fine.

Scientists

  • Strength: Hypothesis-driven thinking, data analysis
  • Apply it: Frame cases as testing hypotheses. "If margin is the problem, we'd expect to see..."

Humanities

  • Strength: Communication, synthesizing information
  • Apply it: Your ability to tell a clear story around numbers is valuable. Don't just calculate—explain.

MDs/Healthcare

  • Strength: Pattern recognition, dealing with uncertainty
  • Apply it: Diagnosis → treatment maps to problem → recommendation. Trust your process.

Success Pattern: "From Zero to Offer"

While everyone's journey differs, a typical ramp-up for non-business candidates:

Weeks 1-2: Learn terminology, basic formulas

Weeks 3-4: Daily practice, building speed

Weeks 5-6: Case practice with partners

Weeks 7-8: Mock interviews, refinement

Many successful consultants came from non-business backgrounds. Your diverse perspective is an asset.

Key Resources


Your analytical skills got you this far. A few weeks of focused practice will get you the rest of the way.
Interested in finance as well as consulting? Many candidates pursue both paths. Check out Finance Interview Prep for IB, PE, and VC-specific questions.

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