Archimedes IQ

Archimedes' IQ is estimated at 155 to 175, with very low confidence. He lived 2,000 years before IQ tests; his surviving mathematics is the evidence.

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Archimedes is estimated at 165+. Could you beat that?

Higher than 99.9% of people (1 in 136,074). Your score lands on the same scale.

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Archimedes' IQ is 165+. What's yours?

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Portrait of Archimedes

Key facts

Estimated IQ
IQ 165+
Range
IQ 155 to 175
Known for
Pi, levers, buoyancy
Lived
Mathematician & Inventor, c. 287–212 BC
Basis
Surviving mathematical works; no test
Confidence
Very low. Impossible: Archimedes lived more than two millennia before standardized testing.

His surviving mathematical work demonstrates extraordinary originality, but 165+ is a label for scale, not a recoverable test score.

What was Archimedes' IQ?

No one can know. Archimedes died in 212 BC, and no historiometric study rates him. LifeScore uses 165+ as an editorial marker, with a range of 155 to 175, because his surviving proofs anticipate calculus by nearly 2,000 years and combine pure mathematics with engineering.

For a scientist-level mind

Archimedes' 165+ is an estimate. Try the hard test.

Archimedes' number comes from the record, not a test sitting. The hard IQ test is the kind of puzzle Raven's matrices use: 25 visual items in 12 minutes that climb from easy to very hard, where hard means holding several rules at once. No vocabulary, no school maths, and no sign-up to start.

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25 puzzles · 12 minutes · easy to very hard

How smart was Archimedes?

By the standard of what survives, among the greatest mathematicians ever. He bounded pi between 3 10/71 and 3 1/7, found the volume and surface of a sphere, and used methods close to integration. He also explained levers and buoyancy and designed war machines for Syracuse.

Did Archimedes have the highest IQ in history?

There is no way to say. Nobody who lived before IQ tests has a measured IQ, only estimates. Archimedes is routinely ranked with Newton and Gauss as one of the three greatest mathematicians, but lists that put him first are expressing admiration, not measurement.

Archimedes' key achievements

  1. 01

    Pinning down pi

    Using 96-sided polygons he showed pi lies between 3 10/71 and 3 1/7.
  2. 02

    Sphere and cylinder

    He proved a sphere has two-thirds the volume and surface of its enclosing cylinder, his proudest result.
  3. 03

    The Sand Reckoner

    He invented a way to write numbers large enough to count the grains of sand that would fill the universe.
  4. 04

    Levers and buoyancy

    He gave the first mathematical laws of the lever and of floating bodies.

How Archimedes thought

Archimedes used physical intuition to find results and geometry to prove them. In The Method, lost for centuries and rediscovered in a palimpsest in 1906, he explains that he first found areas and volumes by imagining shapes balanced on a lever.

The evidence behind the estimate

An estimate built from the historical record, not a recovered test score.

What supports it

  • His geometric methods anticipated ideas later formalized in integral calculus.
  • He united abstract proof with practical work in mechanics and engineering.
  • Surviving works show advanced numerical bounds, exhaustion arguments and original theorem construction.

What it cannot prove

  • Biographical evidence from antiquity is sparse and partly legendary.
  • Survival bias favors remarkable works while concealing the comparison population.
  • Modern IQ instruments cannot be back-applied with numerical precision.

Estimates like Archimedes's come from the record, not a test sitting. The closest thing to a real, public score is the NFL: teams gave draft prospects the Wonderlic, and we collected 241 reported NFL Wonderlic scores with their sources. The same 12-minute, 50-question format is still used by employers, and you can sit a free Wonderlic-style practice test or the CCAT-style test tech employers use to see a real number of your own.

Archimedes compared with Newton, Gauss, Pythagoras

FigureEstimateRange
Archimedes165+155–175
Isaac Newton160+160–190
Carl Friedrich Gauss170+160–180
Pythagoras155+140–165

How would you score?

Where would you land next to Archimedes?

Archimedes' 165+ is an estimate from the historical record, with a working range of 155 to 175. On the standard IQ scale an IQ of 165 sits at the 99.99926th percentile: about 1 in 136,000 people score that high. Nobody can test Archimedes now. You can find out where you sit on the same scale.

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Psychological profile

Archimedes's IQ is represented here by a retrospective estimate of 165+, not a verified test result. Archimedes is best known for exceptional mathematical genius. The useful question is what the surviving evidence shows, not whether a precise modern score can be recovered.

Pure mathematical genius with practical engineering applications. Famous "Eureka" moment shows high openness and absorption in problems.

The dominant archetype here is The Creator. This archetype shapes decision patterns: what feels natural, what creates friction, and what blind spots tend to emerge.

Estimated IQ is 165+. This is a rough estimate based on documented accomplishments and contemporary accounts, not a literal measurement.

Key traits

  1. Mathematical genius

    Archimedes displayed notable mathematical genius, a trait that shaped their approach to challenges and opportunities.
  2. Practical invention

    Archimedes displayed notable practical invention, a trait that shaped their approach to challenges and opportunities.
  3. Deep focus

    Archimedes displayed notable deep focus, a trait that shaped their approach to challenges and opportunities.

One thing most people do not know

Cicero found Archimedes' neglected tomb in Syracuse by spotting the carving of a sphere inside a cylinder.

A modern parallel

A modern figure with a similar operating style is John Conway. Both fit the The Creator archetype. This is a comparison of style, not of IQ.

Archimedes: common questions

Was Archimedes a genius?

Archimedes's record supports exceptional achievement, but "genius" is not established by an unverified IQ number. Their The Creator archetype, combined with Mathematical genius and Practical invention, is a more useful interpretation of their output.

What personality type was Archimedes?

Archimedes fits the The Creator archetype. Key traits include Mathematical genius, Practical invention, and Deep focus. This profile helps explain both their strengths and their documented failure modes.

Who is the modern equivalent of Archimedes?

A modern parallel in working style is John Conway. The comparison is based on operating style and the The Creator archetype, not on accomplishment level or IQ.

What can we learn from Archimedes?

Archimedes's profile teaches that extreme strengths create extreme trade-offs. Their Mathematical genius and Practical invention enabled success but also created recurring friction.

The IQ-style test the NFL used

Archimedes' IQ is an estimate. Yours could be real.

Before the draft, NFL teams gave prospects the Wonderlic: 50 questions in 12 minutes, and almost nobody finishes. We collected 241 reported player scores, each with its source. The average working adult scores about 21.

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Archimedes' IQ is 165+. What's yours?

Archimedes' estimate comes from the historical record. Yours can come from a real test: 25 visual reasoning questions.

Take the IQ test

25 questions · about 12 minutes

Sources

  1. Archimedes biography, MacTutor, University of St Andrews. Surveys his surviving mathematics, mechanics and the limits of the biographical record.
  2. Archimedes: Numerical Analyst, MacTutor, University of St Andrews. Explains specific mathematical and engineering achievements.
  3. Cox, C. M. (1926). The Early Mental Traits of Three Hundred Geniuses. Stanford University Press.
  4. Simonton, D. K. (2009). Genius 101. Springer.
  5. Cattell, R. B. (1971). Abilities: Their Structure, Growth, and Action. Houghton Mifflin.
  6. Portrait: Domenico Fetti · Public domain · Wikimedia Commons

Last reviewed September 2026. How we estimate historical IQ