Video Tutorial: 4 Real-World McKinsey Case Interview Math Drills

Dive into the real challenges of McKinsey interviews with our exclusive video tutorial featuring four actual math problems from recent case interviews.

Watch these step-by-step walkthroughs to understand the complexity of the questions and learn effective strategies to tackle them.

Click play and take your case interview readiness to the next level!

Answers to the case interview math problems

1) Mental Calculations: Addition and Subtraction

  1. Calculate: 457+238=695
  2. Calculate: 891−364=527
  3. Calculate: 1,245+987=2,232
  4. Calculate: 3,568−1,234=2,334
  5. Calculate: 6,789+2,345=9,134
  6. Calculate: 9,876−5,432=4,444
  7. Calculate: 12,345+6,789=19,134
  8. Calculate: 15,678−9,876=5,802
  9. Calculate: 23,456+8,765=32,221
  10. Calculate: 29,876−12,345=17,531

2) Mental Calculations: Multiplication

  1. Calculate: 12×14=168
  2. Calculate: 23×15=345
  3. Calculate: 35×18=630
  4. Calculate: 48×22=1,056
  5. Calculate: 56×29=1,624
  6. Calculate: 67×31=2,077
  7. Calculate: 72×35=2,520
  8. Calculate: 85×39=3,315
  9. Calculate: 96×42=4,032
  10. Calculate: 109×47=5,123

3) Mental Calculations: Division

  1. Calculate: 294÷7=42
  2. Calculate: 512÷8=64
  3. Calculate: 735÷5=147
  4. Calculate: 896÷4=224
  5. Calculate: 1,023÷9=113
  6. Calculate: 1,298÷6=216
  7. Calculate: 1,587÷3=529
  8. Calculate: 1,824÷8=228
  9. Calculate: 2,045÷7=292
  10. Calculate: 2,387÷5=477

4) Calculate Financial Ratios

  1. Calculate the Gross Margin given Revenue of $15,000 and Cost of Goods Sold (COGS) of $7,500. 50%

5) Solve Profitability Problems

  1. Estimate the Profit Margin for a company with $50,000 in Net Income and $500,000 in Revenue. 10%
  2. Determine the Return on Investment (ROI) for an investment of $10,000 that generates a profit of $2,000. 20%
  3. Calculate the Operating Margin for a company with $75,000 in Operating Income and $300,000 in Revenue. 25%

6) Assess Investment Opportunities

  1. Calculate the Payback Period for an investment of $50,000 that generates annual cash flows of $10,000. 5 years
  2. Determine the Net Present Value (NPV) for an investment with an initial cost of $100,000 and cash flows of $30,000 annually for 5 years, assuming a discount rate of 10%. $15,471
  3. Calculate the Return on Investment (ROI) for an investment of $80,000 that generates a net profit of $20,000. 25%

7) Assess Pricing Elasticity

  1. Analyze the impact on quantity sold if the price of a product increases from $10 to $12, given that the quantity sold decreases from 1,000 units to 800 units. 20% decrease
  2. Determine the price elasticity of demand if a 10% decrease in price leads to a 15% increase in quantity sold. 1.5
  3. Analyze the impact on revenue if the price of a product increases from $20 to $25 and the quantity sold decreases from 500 units to 400 units. Decrease by $1,000

8) Solve Operations Problems

  1. Calculate the output of a production line that processes 500 units per hour with an efficiency rate of 80%. 400 units per hour
  2. Determine the total cost of producing 1,000 units with a variable cost per unit of $5 and fixed costs of $2,000. $7,000
  3. Calculate the capacity utilization rate of a factory that can produce 1,200 units per day but is currently producing 800 units per day. 66.67%
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