Protocol Career

Case Math Practice

Thirty drills across the eight calculations cases actually use. Answer, check, and read the working. No account needed.

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Percentages01

After a 40% discount, a product sells for $72. What was the list price?

Round to the nearest $0.01.

$
Growth & CAGR02

At 4% annual growth, roughly how many years does it take to double?

Use the rule of 72. Round to the nearest 0.1.

years
Break-even03

Fixed costs are $240,000, price is $50 and variable cost is $30 per unit. How many units to break even?

Round up to a whole unit.

Unit economics04

CAC is $180, monthly revenue per customer is $75 at 80% gross margin. What is the payback in months?

Round to the nearest 0.1 month.

months
Weighted averages05

Channel A is 60% of traffic converting at 3%, channel B is 40% converting at 10%. What is the blended conversion rate?

Round to the nearest 0.1%.

%
ROI & payback06

A $250,000 programme saves $120,000 a year. What is the payback period?

Round to the nearest 0.1 year.

years
Market sizing07

The market is $2.0B. What revenue does a 8% share represent?

Round to the nearest $0.1M.

$
Mental math08

What is 12.5% of 2,400?

Exact answer.

Percentages09

A company has $250M in revenue at a 18% profit margin. What is the profit?

Round to the nearest $0.1M.

$
Growth & CAGR10

Revenue grew from $100M to $500M over 4 years. What was the CAGR?

Round to the nearest 0.1%.

%
Break-even11

Fixed costs are $240,000, price is $40 and variable cost is $16 per unit. How many units to break even?

Round up to a whole unit.

Unit economics12

CAC is $300, monthly revenue per customer is $60 at 60% gross margin. What is the payback in months?

Round to the nearest 0.1 month.

months
Weighted averages13

Channel A is 60% of traffic converting at 2%, channel B is 40% converting at 10%. What is the blended conversion rate?

Round to the nearest 0.1%.

%
ROI & payback14

A $400,000 programme saves $80,000 a year. What is the payback period?

Round to the nearest 0.1 year.

years
Market sizing15

The market is $4.0B. What revenue does a 3% share represent?

Round to the nearest $0.1M.

$
Mental math16

What is 25% of 3,600?

Exact answer.

Percentages17

After a 40% discount, a product sells for $45. What was the list price?

Round to the nearest $0.01.

$
Growth & CAGR18

Revenue grew from $500M to $1.0B over 3 years. What was the CAGR?

Round to the nearest 0.1%.

%
Break-even19

Fixed costs are $240,000, price is $40 and variable cost is $20 per unit. How many units to break even?

Round up to a whole unit.

Unit economics20

CAC is $180, monthly revenue per customer is $60 at 80% gross margin. What is the payback in months?

Round to the nearest 0.1 month.

months
Weighted averages21

Channel A is 75% of traffic converting at 2%, channel B is 25% converting at 8%. What is the blended conversion rate?

Round to the nearest 0.1%.

%
ROI & payback22

A $250,000 programme saves $150,000 a year. What is the payback period?

Round to the nearest 0.1 year.

years
Market sizing23

The market is $12.0B. What revenue does a 5% share represent?

Round to the nearest $0.1M.

$
Mental math24

What is 25% of 2,400?

Exact answer.

Percentages25

A company has $250M in revenue at a 15% profit margin. What is the profit?

Round to the nearest $0.1M.

$
Growth & CAGR26

Revenue grew from $500M to $2.0B over 5 years. What was the CAGR?

Round to the nearest 0.1%.

%
Break-even27

Fixed costs are $240,000, price is $50 and variable cost is $20 per unit. How many units to break even?

Round up to a whole unit.

Unit economics28

CAC is $300, monthly revenue per customer is $40 at 80% gross margin. What is the payback in months?

Round to the nearest 0.1 month.

months
Weighted averages29

Channel A is 60% of traffic converting at 3%, channel B is 40% converting at 10%. What is the blended conversion rate?

Round to the nearest 0.1%.

%
ROI & payback30

A $600,000 programme saves $80,000 a year. What is the payback period?

Round to the nearest 0.1 year.

years

Thirty drills build the reflex; a case decides whether it holds. Go to case interview practice and lesson one of the course.