Back-of-envelope estimate of a school bus's weight, with a sanity check
Quick Overview
An estimation question that asks how much a school bus weighs. It tests whether you clarify what is being weighed, break the problem into parts with clearly stated assumptions, keep the arithmetic clean, and sanity-check the final number with a second method or reference point.
Back-of-envelope estimate of a school bus's weight, with a sanity check
Company: Google
Role: Product Manager
Category: Product / Decision Making
Difficulty: medium
Interview Round: Other
In a product manager interview you are asked to estimate how much a school bus weighs. Reason out loud: clarify exactly what is being weighed, break the problem into pieces you can estimate, do the arithmetic, and check that your final number is believable.
```hint Anchor on something you know
You probably have a feel for what a family car weighs. You can scale up from it, or add up the bus's major parts; doing both gives you a way to check yourself.
```
### Clarifying Questions
- Which kind of bus: a full-size school bus, or a smaller one built on a van chassis?
- Should the bus be weighed empty, or with a driver, children and a full fuel tank?
- Are we picturing the yellow school buses common in North America, or the coaches used for school trips elsewhere?
- Should the answer be in kilograms or pounds, and is a range acceptable?
### What a Strong Answer Covers
- Clarifying the bus type and whether passengers and fuel count before estimating.
- A clear structure, such as a breakdown into components or scaling from a vehicle whose weight you know, with every input stated as an assumption.
- Correct arithmetic with round numbers that the interviewer can follow.
- A second method or reference point to sanity-check the result, ending with a range and units.
### Follow-up Questions
- How much heavier is the bus when it is full of children?
- Which assumption moves your answer the most, and how would you narrow it down?
- How would your estimate change for an electric school bus?
Overview: An estimation question that asks how much a school bus weighs. It tests whether you clarify what is being weighed, break the problem into parts with clearly stated assumptions, keep the arithmetic clean, and sanity-check the final number with a second method or reference point.
Back-of-envelope estimate of a school bus's weight, with a sanity check
Google
Jul 7, 2025
mediumProduct ManagerOtherProduct / Decision Making
0
0
In a product manager interview you are asked to estimate how much a school bus weighs. Reason out loud: clarify exactly what is being weighed, break the problem into pieces you can estimate, do the arithmetic, and check that your final number is believable.
Clarifying Questions Guidance
Which kind of bus: a full-size school bus, or a smaller one built on a van chassis?
Should the bus be weighed empty, or with a driver, children and a full fuel tank?
Are we picturing the yellow school buses common in North America, or the coaches used for school trips elsewhere?
Should the answer be in kilograms or pounds, and is a range acceptable?
What a Strong Answer Covers Guidance
Clarifying the bus type and whether passengers and fuel count before estimating.
A clear structure, such as a breakdown into components or scaling from a vehicle whose weight you know, with every input stated as an assumption.
Correct arithmetic with round numbers that the interviewer can follow.
A second method or reference point to sanity-check the result, ending with a range and units.
Follow-up Questions Guidance
How much heavier is the bus when it is full of children?
Which assumption moves your answer the most, and how would you narrow it down?
How would your estimate change for an electric school bus?