Guesstimate Questions: 7 Solved Examples and a 5-Step Method

Share post:

You are halfway through a consulting interview when the interviewer leans back and asks how many gas stations there are in the United States. You don't know, and nobody expects you to. A guesstimate tests how you think: whether you can break a number nobody has measured into smaller pieces you can reason about, make sensible assumptions, do the maths out loud and then check whether your answer makes sense. This guide gives you a method that works on any guesstimate, seven solved examples, and a short list of numbers worth keeping in your head.

What the interviewer is actually scoring

Real consulting work runs on estimates. A client wants to know if a market is worth entering, and no report has ever measured it. Someone has to build a defensible number by Friday.

So the guesstimate is a small rehearsal of that job. In five to ten minutes the interviewer is watching four things:

  • Structure. Did you break the problem into clean, logical pieces?
  • Assumptions. Are they reasonable, and did you explain where each one came from?
  • Maths. Can you multiply and divide comfortably while talking?
  • Judgement. Did you look at your final number and ask whether it made sense?

The last one is the most overlooked. A candidate who reaches a strange number and says "that feels too high, let me recheck my second assumption" usually scores better than one who lands closer to the truth and says nothing.

The 5-step method

1. Clarify the question. Spend twenty seconds pinning down the scope. "Gas stations" — do we count truck stops? Is it the whole US? Clarifying shows you don't charge at problems before you understand them.

2. Pick your approach. There are two ways into almost every guesstimate:

  • Demand side — start from people or customers and work up. How many cars need fuel, and how often?
  • Supply side — start from the business and work out. How many customers can one station serve?

Many of the best answers use one to build the number and the other to check it.

3. Lay out the structure before doing any maths. Say it out loud as an equation: "Stations equals total weekly fill-ups divided by fill-ups one station handles in a week." Now the interviewer can follow you, and can correct you early if you've misunderstood.

4. Make assumptions and calculate. Use round numbers. Say why you chose each one. Write it down as you go.

5. Sanity-check and conclude. Compare the answer with something you know. Then give one clean final sentence: "So I'd estimate roughly 100,000 gas stations in the US."

7 solved examples

1. How many gas stations are there in the US?

Approach: demand side, then supply-side capacity.

  • Vehicles on US roads: about 280 million
  • Each fills up roughly once a week → 280 million fill-ups a week, or 40 million a day
  • A typical station has 8 pumps. Each pump serves about 4 cars an hour for 14 busy hours → roughly 450 fill-ups a day. Call it 400 to allow for quiet periods.
  • 40 million ÷ 400 = 100,000 stations

Sanity check: About one station for every 3,300 people. In a town of 20,000 that means six stations, which sounds right.

2. How many cups of coffee are bought from coffee shops in the US each day?

Approach: demand side.

  • US population: 335 million. Adults: about 260 million
  • Daily coffee drinkers: 60% → about 156 million
  • Average 2 cups each → about 310 million cups a day
  • Share bought from a café or shop rather than made at home: 25%
  • 310 million × 25% ≈ 78 million cups a day

Sanity check: That's roughly one shop-bought coffee for every four people each day. For a country with a coffee shop on most busy corners, that feels believable.

3. How many smartphones are sold worldwide each year?

Approach: replacement cycle.

  • World population: 8 billion
  • People who own a smartphone: about 55% → 4.4 billion users
  • Average phone is replaced every 3.5 years → 4.4 billion ÷ 3.5 ≈ 1.25 billion replacements
  • Add first-time buyers, roughly 50 million
  • Total ≈ 1.3 billion phones a year

Sanity check: That's about one phone for every six people on Earth each year. Given that phones last a few years, that's plausible.

4. What is the annual revenue of a busy city coffee shop?

Approach: supply side.

  • Open 14 hours a day
  • 3 peak hours (morning rush, lunch) at about 80 customers an hour → 240
  • 11 regular hours at about 25 customers an hour → 275
  • Total: about 515 customers a day
  • Average spend: $6 → about $3,100 a day
  • Open 360 days a year → about $1.1 million a year

Sanity check: At peak that's more than one customer a minute, which matches what a busy downtown café looks like at 8:30 a.m.

5. How many planes are in the air right now?

Approach: flights per day × time in the air.

  • Air passenger trips per year worldwide: about 4.5 billion → about 12 million a day
  • Average passengers per flight: about 120 → about 100,000 flights a day
  • Average flight time: 2 hours
  • 100,000 flights × 2 hours ÷ 24 hours ≈ 8,300 planes in the air at any moment
  • Most flying happens in the daytime, so at a busy hour the figure is likely closer to 10,000

Sanity check: Spreading flights evenly over 24 hours understates the daytime peak. Saying so out loud earns credit.

6. How many piano tuners are there in Chicago?

Approach: demand (pianos needing tuning) vs supply (what one tuner can do).

  • Chicago population: about 2.7 million, in about 1.1 million households
  • Households with a piano: 1 in 20 → 55,000 pianos. Add schools, churches and venues: say 60,000
  • Each piano is tuned about once a year → 60,000 tunings
  • A tuner does 4 tunings a day, 250 days a year → 1,000 tunings a year
  • 60,000 ÷ 1,000 = 60 piano tuners

Sanity check: This is the classic example. The useful habit here is to state your demand and supply assumptions separately so the interviewer can test either one.

7. How big is the US dog food market?

Approach: demand side, in dollars.

  • US households: about 130 million
  • Households with a dog: 40% → 52 million
  • Dogs per dog-owning household: 1.3 → about 68 million dogs
  • Average food spend per dog: $40 a month → $480 a year
  • 68 million × $480 ≈ $32 billion a year

Sanity check: That's about $250 a year for every US household. With pets as common as they are, the order of magnitude feels right.

Numbers worth keeping in your head

You don't need dozens. These handle most questions:

Figure Round number
World population 8 billion
US population 335 million
US households 130 million
UK population 68 million
EU population 450 million
Life expectancy (rich countries) about 80 years
Working days in a year about 250
Hours in a year about 8,760
Vehicles in the US about 280 million

A useful shortcut: if you know a population and a life expectancy, you know roughly how many people are at each age. With 335 million people over 80 years, about 4 million Americans are at any single age. That alone solves questions like "how many diapers" or "how many new drivers".

Mistakes that cost candidates the most

Diving into numbers before giving a structure. The interviewer can't follow you, and you can't recover if a step is wrong.

Unrealistically precise assumptions. "37.4% of households" sounds made up because it is. Use 40%.

Going silent during the maths. Silence looks like panic. Talk through every multiplication, even the easy ones.

Skipping the sanity check. It takes ten seconds and is often what separates a pass from a strong pass.

How to get faster

Reading solved examples builds understanding, not speed. Speed comes from doing them out loud with a timer running, and having someone challenge your weakest assumption.

Run timed Guesstimate Drills to build pace, practise full Prep Cases where a guesstimate sits inside a bigger problem, and book a Peer-to-Peer Session to answer in front of someone who will push back.

Can you estimate your way out of any question in five minutes? Find out with TheConsulting.io's Guesstimate Drills, or see the plans.



Share post:

Related learnings