The Impossible Problem
Time for the team building activity: 15–20 minutes
Setup effort: Easy (prepare a deliberately impossible challenge)
Estimated cost: Free
Business value: Encourages creative thinking under uncertainty, strengthens resilience, and reveals problem-solving dynamics in team building sessions
What is The Impossible Problem?
The Impossible Problem is a thought-provoking team building activity where teams must attempt to solve a challenge that appears unsolvable under the given constraints.
Examples include prompts like:
“Design a car that costs €0 to build.”
“Create a meeting that requires no time.”
“Increase productivity without adding time, tools, or people.”
At first glance the task seems contradictory, but the exercise forces participants to rethink assumptions and reframe the problem creatively.
The goal is not to “solve” the problem perfectly but to push the team to explore unconventional thinking paths.
How do you run The Impossible Problem?
Divide participants into small teams of 3–5 people.
Present the challenge clearly. For example:
“Your challenge: create a way to double productivity without increasing working hours.”
Explain that the goal is to stretch thinking, not necessarily produce a perfect answer.
Give teams 8–10 minutes to brainstorm possible approaches.
Encourage them to question assumptions and reinterpret the constraints.
After time is up, each team presents their best idea or reframing of the problem.
The full team building activity typically runs 15–20 minutes.
Why it’s great for a team
Many teams approach problems with rigid assumptions about what is possible.
The Impossible Problem breaks these mental constraints.
In one short team building activity, it helps teams:
challenge default thinking patterns
encourage bold creative ideas
improve problem reframing skills
strengthen collaborative exploration
increase intellectual curiosity
Participants often realize that what initially looks impossible can become solvable when assumptions change.
This insight directly applies to innovation and strategic thinking.
It is particularly effective:
in innovation workshops
during strategy offsites
with product or design teams
before major brainstorming sessions
From a creativity standpoint, paradoxical problems are known to stimulate deeper cognitive exploration and unconventional solutions.
How to organize it effectively
Challenge design is the biggest success factor.
Choose problems that are:
paradoxical but intriguing
open-ended
relevant to the group’s context
Avoid challenges that feel purely absurd or unrelated to work.
As facilitator, encourage participants to question the constraints themselves.
Remind teams that reframing the problem can be as valuable as solving it.
For larger groups, run parallel teams and compare different approaches.
In remote team building sessions, breakout rooms work very well.
End with a reflection discussion:
“Which assumptions did you challenge?”
“What reframing unlocked new ideas?”
When well facilitated, The Impossible Problem is a stimulating team building activity that encourages teams to challenge assumptions and explore creative possibilities beyond their usual thinking patterns.