do prominent intellectuals say about the Sigma Test?
“Gosto imenso do Sigma Teste porque considero
que em muitas questões precisa-se tanto inteligência como
imaginação para resolvê-las.”
Comment sent by Petri Widsten, from Finland,
is Regent of Unicorn High IQ Society (IQ>180),
member of Sigma Society VI (IQ above 196), Pi Society (IQ>176),
ISI-S (IQ>151), Glia Society (IQ>150) and Mensa-Finland
(IQ>132). Petri is holder a
Ph.D. Summa Cum Laude in Chemistry (Helsinki University
of Technology) and
win the prize 2003-2004 of the
best Ph.D. thesis in Finland. He speaks fluently 9 languages,
2nd. Highest Score in "Mensa International Contest 2001",
1st. Place on X-Test Contest, among
2nd. and 6th. Place in "Smartest
Person of the World Contest" by International High IQ
Society. More about Petri.
See also his comment on the new norm of the Sigma Test here.
EMPTINESS FINALLY HEAPED. THE SIGMA TEST
article is published in ComMensal, Papyrus and Gift of Fire)
In 1999, a tragic emptiness appeared in the world of
the " great" tests : For various reasons, the Mega, the Titan,
The Power, The TFG shorts form of Cooijmans stopped being
valid as tests of qualification, and the numerical section
of the TFG long form has been suppressed.
This emptiness has just been heapped
: Hindemburg Melao Jr., founder of the Sigma Society (index.html)
has created the " Sigma Test ", after a long and serious work,
both in the realization of the test that in the establishment
of norms. The test is available since September 2001.
Who is Hindemburg Melao Jr., the founder
of the Sigma Society? Born in Sao Paulo (Brazil) on January
15th 1972, he is a personality known in the world of chess.
Melao has two world records in chess:
- The longest announced checkmate in
a simultaneous blindfold chess game, Sao Paulo, 1997 (mate
in 12 moves, playing on 9 boards). This record is registered
in the Guinness Book of Records, Brazilian Edition, 1998,
pages 110 - 111.
- The longest announced checkmate in
a correspondence chess game: mate in 36 moves, in Special
Class Tournament CXEB, published in Pi Society Journal - 05/00.
He has written many relevant articles
in the following fields: Mathematics, Physics, Astronomy,
Psychology (problems concerning gifted children), and Research
about the standardization of IQ tests.
The Sigma Test : This test consists
of 36 questions. These, weighted in ten levels of difficulties,
are, above all, completely varied.
What is particularly remarkable in
this test ?
- The increasing difficulty of the
questions, that goes progressively from direct reasoning problems
to questions needing a high power of reasoning using lateral
(or divergent) thinking.
- The questions concern a lot of various
- Very little preliminary knowledge
seems to be required.
- The standardization, obviously result
of a long and serious work, is very clearly presented at the
end of the test.
- The weighted of the questions. It
is practically the first time that, in a test, the " difficult
" questions have a weight that seems proportional to the work
and to the level of reasoning needed to solve them.
The world of tests must thank Hindemburg
Melao Jr. for having given him this test !
Comment sent by Albert Fank, from Belgium. Albert
is international referee by specialized magazines, Professor
of Logic and Mathematics at University of Brussels and passed
many years in Africa, teaching Chess and Mathematics. He was
national champion of Chess in several countries and holds
several titles of "National Chessmaster", National
Champion of Chess of Veterans in Belgium. He was also Chess
Champion of Brussels, author of significant international
contests of puzzles, author of pedagogical works recognized
internationally (including the book "Chess and aptitude",
published by the U.S. Chess Federation). Albert is pilot and
flying instructor, he is founder of Ludomind, an international
society for authors of difficult, beautiful and original puzzles.
Albert is Honorary Member of Pars Society, member of Sigma
V, Platinum Society and member of several other high IQ societies.
More about Albert.
See also his comment on the new norm of the Sigma Test here.
SIGMA test was one of the most interesting things I have done
in the realm of puzzles because the later questions were so
clever and had so many different levels of solution. I finished
the test as a personal challenge, and it gave me great satisfaction.
Some of the SIGMA test puzzles are REALLY beautiful. They
are a work of art!"
Comment sent by Peter David Bentley,
from Hong Kong, is member of Sigma Society V (IQ above
180), Post-doctoral in low temperature/high vacuum Physics
- Dept of Engineering Science - Oxford University, Ph.D. in
low temperature/high vacuum Physics - Dept of Engineering
Science - Oxford University, Managing Director of INFICON
Ltd (China). Peter also is Honorary Member of World Association
for Highly Intelligent People, member of Mensa-UK, was Manager
of Divison of “Hong Kong Productivity Council”,
General Director of “VG Instruments Asia Ltd.”,
General Manager of "Leybold China Ltd." and of "Balzers and
Leybold China Ltd.", Director of Projects and Manager of Sales
of “Edwards High Vacuum, UK”. Peter is a world
authority in puzzles, co-founder of Ludomind, author of many
hard and original puzzles and quizzes, he is holder of the
second highest score in Sigma Test, perfected the solution
32 of the Sigma Test and proposed a very interesting ideas
on questions 29 of the Sigma Test and 4 of the Sigma Test
Version) Dear Mr. Melao:
found some interesting IQ test in Internet. However I have
realized many of them are heavily cultural dependent. For
instance, Dr. Hoefflin Power Test has rather interesting and
difficult problems, however too many of them abuse of the
mathematical abilities of the tester. The same problem has
the test of Haselbauger and some others. I don’t mean
they call for a Ph. degree in Mathematics, but it is clear
than people with a strong mathematics background would get
rather better scores than other people. Some others as Titan
Ultra and Mega use verbal analogies which not only are heavily
cultural dependent, also English speakers would get advantage
first time I saw the Sigma Test, I have to recognize that
I didn’t like it as much as the Power Test or similar
ones. Some ingenious problems of the second half seemed too
arbitrary and without scientific interest for psicometry,
as they didn’t have a unique solution and that makes
me think they had a lack of objectivity. After answer questions
1 to 25 I found the others very vague. Even mathematical questions
as the 31 which requires: first to figure out the theoretical
model that the question is calling for and only them go for
the second step: mathematically work it out. I haven’t
found even one of those in Dr. Hoefflin tests, as those questions
can be answered going directly to the second step.
test requires a strong convergent and divergent (lateral)
thinking. Only a creative and deductive mind could get a high
score in that test. If one test can tell an universal genius
from other person who is only good at mathematics or verbal
quizzes is the Sigma Test. Even a person without a mathematical
knowledge, non native of the language of the test (no verbal
analogies) could via questions 34, 35 and 36 get a very high
scoring system is also new, and I am not only talking about
the different weight of the questions, also as the tester
has to explain the way he got the answer, eventually corrects
answers the tester have gotten in a wrong way can be detected,
so the IQ scores will not be dependent of the luck of the
agree with the creator of Sigma Test, the high IQ levels are
more likely measured on intellectual production basis rather
than using a test, however if any test can approximate better
this is Mr. Hindemburg Melao Jr Sigma Test. We everybody thanks
to Mr. Melao his contribution to the psicometry.
(Version Española) Querido Sr. Melao:
Internet he encontrado algunos IQ test muy interesantes. Pero
me he dado cuenta de que muchos de ellos son muy dependientes
del nivel cultural del individuo. Por ejemplo el Power Test
del Doctor Hoefflin, contiene unos problemas muy interesantes,
sin embargo, creo que abusa de las habilidades matemáticas
del que los toma. Y lo mismo le pasa a los de Haselbauer y
otros más. Algunos como el Titán, Mega y Ultra contienen ejercicios
de analogías que son muy culturalmente dependientes y que
además serían más fáciles, obviamente, para los angloparlantes.
Cuando me topé con el Sigma Test, he de reconocer que no me
gustó tanto como el Power Test. Y algunos problemas de ingenio
de la segunda mitad me parecían muy arbitrarios y sin interés,
pues parecía que al no existir solución única carecían de
la objetividad que debe de tener un IQ test. Después de responder
a las preguntas de la 1 a la 25 las demás me parecían muy
vagas. Pasó el tiempo y me fui dando cuenta de que el Sigma
Test probablemente sea el mejor test de los que he visto nunca.
El Sigma Test, además de habilidades deductivas, se ocupa
del pensamiento divergente y de la creatividad, como el Power
Test no podría nunca hacerlo. Las respuestas en los últimos
problemas del Sigma no siempre son únicas, aunque exista una
que es la mejor de todas. Creo que si un test podría distinguir
entre un genio creativo como Leonardo da Vinci de una persona
que simplemente tiene una buena capacidad matemática ése sería
el Sigma Test. Además, al contrario que muchos otros test,
personas sin conocimientos matemáticos pueden obtener puntuaciones
IQ muy altas ya que las preguntas 26-30, 33-36 no requieren
conocimientos matemáticos pero sí un alto, altísimo IQ para
responder correctamente a las 35, 36.
sistema de puntuación es también novedoso, permite puntuación
parcial de un test para respuestas parcialmente correctas,
cosa que otros test no permiten. Además, la nueva norma nos
da mejores ideas acerca del IQ del testando.
idea de que el verdadero IQ del testando, especialmente para
los valores más altos del IQ, se ve mejor en la producción
intelectual de la persona más que en un test de IQ me parece
verdaderamente correcta. Por eso dice usted que los miembros
de Mega no son tan inteligentes como un premio Nobel de ciencia
medio. No obstante creo que el Sigma Test es más cercano,
puede reflejar más exactamente, el desempeño mental de alguien
en la vida profesional de lo que lo pueden hacer los test
de Hoefflin u otros. Esto se debe a que las preguntas del
Sigma no requieren un solo tipo de pensamiento sino varios,
además están basadas en situaciones concretas que son ó parecen
reales. Le felicito por su contribución la psicometría.
enviados por Luis Lara Dolado, da Espanha.
Membro de Sigma IV, muito talentoso para Física e Matemática.
Ganhou uma bolsa para estudar na China (Beijing) e se graduou
em chinês moderno (katagana? hiragana?). Luis também é piloto
e instrutor de vôo.
Um belíssimo exemplo de teste sem limite de tempo, com teto
avaliado em 244
(sd16- p-QI) é o Sigma Teste, desenvolvido por Hindemburg
teste é um desafio que todos deveriam experimentar, pois ao
terminá-lo, certamente, você verá que as suas noções de lógica,
linguagem e capacidade de enfrentar problemas estão muito
melhores que quando você começou."
extraído de um artigo
de Guilherme Marques dos Santos Silva,
do Brasil. Membro de Sigma V (QI>180), Platinum (QI>164),
Ludomind (QI> ~160), Colloquy (QI>141), Mensa (QI>133)
e Sigma (QI>132). Guilherme tem o 4o. maior escore no Sigma
Test pela nova norma, foi 5o. colocado no vestibular para
Engenharia da UFPR e 3o. no da PUC-PR. Guilherme é engenheiro
civil e leciona Matemática, é autor de um algoritmo inovador
para otimizar o tráfego de veículos terrestres, que será usado
na Holanda. Mais sobre Guilherme: http://www.gui.pro.br/
tests and puzzles always have amused me, this is the first
IQ-test I have bothered to send in for scoring. I found myself
increasingly absorbed by the intellectual art behind the questions
in this test. Together with achievement, I rank creativity
on top of the scale, which you elegantly have combined with
divergent / convergent thinking. Thank you for creating a
great test. I now look forward to take the Sigma Test VI!
Provided my scores are sufficient, I intend to apply for membership
in the Sigma Society.
Comment sent by Ulf Westerlund,
from Sweden. Member of Sigma IV, Ph.D. in Neuroscience, MD
specialist in Neurosurgery, member of AANS (American Association
of Neurological Surgeons) and EANS (European Association of
would like to take the Sigma Test. (Which I believe has the
best end excellent questions.)"
Comment sent by Emrehan Halici, from Turkey,
born in 1956, Electr. Engineer (B.S., M.S.), Founder and owner
of the Halici Informatics and Software Group of Companies,
President of Turkish Intelligence Foundation (1995-...), Vice
President of FIDE - Fédération Internationale Des Échecs (1998-2002),
President of Turkish Chess Federation (1991-1999), Member
of The Turkish Parliament (1999-2002), Member of MENSA. More
gostando muito do teste SIGMA. Já o imprimi e comecei a responder
suas questões. Permita-me parabenizar pelo seu teste. De facto,
é incomparavelmente melhor que os testes de QI que já fiz."
Comment sent by Renato P. dos Santos,
do Brasil, é Pós-doutorado em aplicações de Inteligência Artificial
ao cálculo científico em Física (Institut für Algorithmen
und Kognitive Systeme, Karlsruhe, Alemanha, em 1989 e Research
Institute for Symbolic Computation, Linz, Áustria, em 1990).
Doutorado em Física pelo Centro Brasileiro de Pesquisas Físicas,
em 1987, com uma tese sobre potencial efetivo em modelos supersimétricos
quirais. Mestrado pelo IFT, com tese sobre aspectos clássicos
do monopólo magnético de Dirac. More
about Renato. Veja também este artigo de Renato Santos
sobre sociedades de alto QI: http://www.reniza.com/matematica/novidades/0212.htm#Artigo
the excellent experience with Sigma Test, which I liked very
much as the beauty and elegance of the questions bring a great
intellectual challenge and excitement, I want to apply for
membership in Sigma Society, Sigma III."
Comment sent by Reinhard Matuschka, from Germany,
is member of.Sigma Society IV (IQ>164) and Mensa (IQ>133).
Reinhard is Master of Computer Science, Master of Economcs
and Master of Business Administration.
message was published on the forum of International High
IQ Society (currently "International High IQ Society") on
Posted by FatalX (David Spencer)
on 13:51:12 7/31/2001 from 184.108.40.206:
Sigma Society---Creative Fusion1
I've just translated the Sigma Society
Test -- which claims to test up to IQ 202, by levels (sigma)
-- into English. Though I am uncertain about the scale, (I
don't believe it could differentiate any higher than the 180-190+
level) the test itself is almost a relief.
The problems are almost Pascal-like
and highly creative. The test begins with basic Mensa/WAIS/Binet
questions, which progressively turn into more interesting
problems like correcting a false conclusion about Fermat's
Theorem deriving from the Pythagorean, measuring lung capacity
within a $ budget, approach diameters for a planet (from a
parachute POV), weighing the Graphite on a piece of paper,
developing methods for estimating a stranger's vocabulary,
getting out of a cannibalistic situation by picking eggs and
constructing a Sphere of Invisibility.
I may be mistaken, but these seem much closer to the problems
for which Vinci and Pascal are famous.
Creative and Logical, with a high degree
of unconventional thought required. I hear it's decently normed,
me if you want a copy of the translation.
Comment posted by David Spencer (FatalX),
from U.S.A., is one of the most outstanding members of the
International High IQ Society. He is recognized in the community
of high I.Q. for his high creativity and his perspicacious
I lost your comments. :-( Please, send it again. Thank you!
sent by Christian Hohenstein, from Germany, Ph.D.,
member of Sigma IV (IQ>164) and High Potentials Society
Sigma test is beautiful. I have never seen anything like this
before. It is not an ordinary IQ test but a masterpiece in the
art of testing a human's ability to solve the indissoluble.
Comment sent by Muhamed Veletanlic, form Sweden,
member of Platinum (IQ>164), Sigma IV (IQ>164), ISI-S
(IQ>151), Glia (IQ>150), Cerebrals (IQ>144), Poetic
Genius Society (IQ>141), Existentia (IQ>137), High Potentials
Society (IQ>133), VINCI (IQ>126), International High IQ
Society (IQ>126), Order of Imhotep. M.Sc. in Electrical
Sigma Test is undoubtedly the hardest intelligence test that
I've encountered so far. I've enjoyed it a lot though as it
is comprised of ingenious questions that could measure the
depth of one's mathematical and logical reasoning abilities."
Comment sent by Nileon
M. Dimalaluan Jr., from Philippines, member of
ISI-S (IQ>151), CIVIQ
Society (IQ>150), International Society
for Philosophical Enquiry (IQ>150), Cerebrals (IQ>144),
Sigma Society (IQ>133), High Potentials Society (IQ>133),
VINCI (IQ>126) and International High IQ Society
(IQ>126). He has a very high score in W-87 and very high
scores in N-VCPE-R, X-Test, IHIQS Ultimate Test e SLSE-Form
also want to say to you that the Sigma Test is incredibly
brilliant. It was by far the best test I have ever taken
and enjoyed it very much."
sent by Dylan Taylor, from USA. He is MD and works
with financial consultancy, has excellent scores on SAT and
other tests, highest score on English version of the Giant
Test given by the High Potentials Society. Dylan is member
of ISI-S (IQ>151), CIVIQ Society (IQ>150), Glia Society
(IQ>150), Sigma III (IQ>148), Cerebrals (IQ>144),
Poetic Genius Society (IQ>141), Existentia (IQ>137),
High Potentials Society (IQ>133), Mensa (IQ>133), Mysterium
Society (IQ>132), VINCI (IQ>126).
must say I thoroughly enjoyed this test. It was incredibly
challenging and it has pushed my abilities to their outer
limits." (...) "I have put more effort into this test than
any other, and have even lost a few hours of sleep mulling
over some of the toughest questions. My favorite question
was #32. I am looking for this test to give me a good indication
of what my true capabilities are. I believe I can go beyond
Mensa and qualify for Sigma III, or perhaps even higher. Please
accept this exam as my best effort, as much time and work
have gone into it. Thank you!"
Comment sent by Wade
Graydon Penman, from Canada, member of Sigma
IV (IQ>164), former member of Mensa (IQ>133).
am very pleased with the result esp. because it is a good
result on without a doubt the best test to be found on the
web." (...) "It was for me a
true pleasure to take it, as it was both challenging and fun.
The Sigma Test is simply a beatiful test"
Comment sent by Bart
Lindekens, from Belgium, member of Sigma V (IQ>180),
Platinum (IQ>164), Ludomind (IQ> ~160), ISI-S (IQ>151).
He works as a risk manager (bank). He has one of the highest
scores on the Sigma Test (3rd place in the old norm).
you for a fascinating, thrilling and a very challenging
test! I will recommended it to friends and colleagues who
might be interested in this kind of challenge. My next mission
will be Sigma Test VI."
sent by Kristian Heide, from Norway, excellent score
on Titan and other tests, member of Sigma Society IV (IQ>164),
One-in-a-Thousand Society (IQ>150), Mensa-Norway (IQ>133),
Ph.D. Student and M.Sc. in Astrophysics, previous national
record holder in egg throwing (1992-96). About this record,
Kristian comment: "I guess that gave me an advantage on
problem no. 34 on The Sigma Test ;-)." He is creator of
an innovative system for sporting ranking, creator of a new
method for ranking of Think Fast. See also his comment on
the new norm of the Sigma Test here.
been having a look over The Sigma Test (which is a much
respected test) and have decided I will have a go at it
this year. Everyone in IQ land should try this test, I think!"
sent by Michael Dempsey, from United Kingdom, member
of Platinum (IQ>164), ISI-S (IQ>151), Glia (IQ>150),
CIVIQ (IQ>150), Sigma III (IQ>148), Mensa (IQ>133),
Mysterium (IQ>132)) and International High IQ Society (IQ>126).
Michael is Honours degree B.Sc. in Chemical Analysis.
un reciente miembro de Sigma Society. Acabo de ver publicadas
en la página de la organización las correlaciones existentes
entre el sigma test y otros tests. Estoy de acuerdo en algunos
principios que inspiran el Sigma Test, tales como que hay
que premiar el razonamiento profundo sobre la rapidez, que
las preguntas de elección múltiple dan lugar a aciertos
sent by Emilio López Aliaga, da Espanha, é membro
de Sigma Society IV, da Mensa e programador da Copo Thierry,
am currently working on your excellent Sigma Test. I am
enjoying it very much."
Comment sent by Kaj Forsell Bio (Kaj by Kaj):
Born in Helsinki, Finland, 48 years ago,
I have spent the last 25 years living in Sweden, Norway, UK,
USA and Japan. I have a Business Degree from Stockholm University.
Career sofar: I like variation so I have
covered many areas in the business world starting out as a
public accountant and moving to financial management positions
in a variety of industries, from finance to powergeneration
and mobile phones. Currently I am President of a Software
development and sales company in Japan.
I also enjoy different cultures which is
why I have chosen to live in many different countries.
Hobbies and interests include food and
drink, music (listening and playing the guitar), current affairs,
surfing on the net and knowledge in general. I also have an
aspiring interest in chess. When I have time and want to be
outdoors I like to play golf. If you like challenging sports,
this is it. The late Sir Winston Churchill already said that
it's an impossible game with impossible tools. He might not
have been the gratest atlhlete, but there's something to what
enjoyed very much working on this test, it was fun."
sent by Staffan A. Svensson, from Sweden, is member
of Sigma Society V (IQ>180), Prometheus (IQ>164), Ultranet
(IQ>164) and Mensa (IQ>132), he have excellent score
on several tests and highest score on the LS-36.
Stephen Reejis (United States, Boston University,
member of Cerebrals Society):
Thanks for the detailed statistical information pointers.
Rarely does one get in these or even non-statistical but
scientific circles the breadth of coverage you have touched
upon. But frequently "scientists" make all sorts
of statistical inferential slippages, although what everyone
remembers is only the "punchline" of their papers.
This is very useful exposure, and I will try to delve into
many of the areas you have brought up.
A few of the links don't work though. The other links are
And since you are here, although I have not submitted the
original Sigma test (not that much money ), I must say that
it is a completely beautiful excercise. I really appreciate
the degree of thought that goes into the items and it has
given me a lot of pleasure to think about some of the items
( I particularly like the one about the boiled/unboiled
eggs with the cannibals) and a few others at that level
(although the hardest ones have me perfectly stumped). I
have two silver math IMO friend and an applied math major
friend and in my mind, the quality of their general thought
and ability is amazing (I am a strong believer that mathamatical
ability is the strongest marker for intellect, very beautifully
tested in IMO-style questions). Your test combines creativity
and brings a tangibility to exactly what is the complexity
involved in an item of high difficulty, and makes the item
accessible to the non-specialist (contrast with IMO questions,
which require at least a basic understanding of some areas).
Congratulations to you for it
Click here to sent your