I’ve been developing high-range IQ tests for over a decade, combining a deep interest in logic, creativity, and problem-solving. Alongside test design, I’ve also published several books on logic and fiction, reflecting my passion for both precision and imagination.
For more than a decade, I have been deeply engaged in the development of IQ tests and cognitive challenges designed for those who enjoy pushing the boundaries of reasoning and abstract thought. What began as a fascination with intelligence testing and human problem-solving soon grew into a dedicated pursuit of creating fair, accurate, and thought-provoking measures of high-range intelligence. Over the past 10 years, I have carefully designed numerous tests—each one refined to balance difficulty, clarity, and originality—while also ensuring that they remain both challenging and enjoyable.
My work in this field has always been guided by a genuine curiosity about how people think and how intelligence can be expressed in many forms. I see testing not as a way to reduce someone’s abilities to a single number, but as a way to explore the diversity of thought, creativity, and problem-solving approaches that make each individual unique.
In addition to test development, I have also published several books spanning both logic and fiction. My writings on logic focus on the art of reasoning, clear thinking, and structured problem-solving, while my fictional works allow me to approach complexity and imagination from a different perspective. Both areas of writing influence one another: the precision of logic strengthens the clarity of my narratives, while the creativity of fiction opens new possibilities in the way I construct challenges and puzzles.
HighRangeIQ.com is the culmination of these combined efforts—a space where intelligence, creativity, and exploration come together. My goal with this project is not only to provide high-quality IQ assessments, but also to cultivate a community of people who value curiosity, intellectual growth, and self-discovery.
Whether you are here to measure your own reasoning abilities, to explore new cognitive challenges, or simply to share in the joy of problem-solving, I welcome you to take part in this journey. With each test, each puzzle, and each idea exchanged, we continue to expand the ways in which intelligence can be understood and celebrated.
- Randy Myers
The Spatial Test Form I (EAGLE) contains 32 items and has no time limit.
Take TestThe Spatial Test Form II (EAGLE II) contains 22 items and has no time limit.
Take TestThe Numerical Test Form II contains 30 items and has no time limit.
Take TestThe Numerical Test Form III contains 30 items and has no time limit.
Take TestNorming is carried out once a sufficient sample population has been collected, typically between 8–10 participants for each new test form. This initial dataset provides the foundation for establishing score distributions and setting provisional scaling.
Validity is assessed using Pearson’s correlation coefficient (r), which measures the degree to which test results align with established measures of cognitive ability. As more participants complete the test, the statistical reliability and validity become stronger, allowing for more accurate norming and interpretation of scores.
The tests are statistically normed using a standard approach based on z-scores and the normal distribution of IQ scores. This ensures that raw test results are meaningfully and fairly converted into IQ scores, allowing for accurate interpretation across a wide population.
Raw scores are collected from a diverse group of test-takers to establish a representative norm group. From this data, two key statistical values are calculated:
These values serve as the baseline for comparison.
Each individual raw score is converted to a z-score, which indicates how far it deviates from the average raw score in standard deviation units. The formula is:
Where:
The z-scores are then transformed into IQ scores using the conventional IQ scale, which has a mean of 100 and a standard deviation of 15. This is done using the formula:
To ensure the tests are valid, Pearson’s correlation coefficient (r) is used to measure how well scores on the tests align with scores from established, professionally recognized IQ tests. This statistical method evaluates the strength and direction of the linear relationship between two sets of scores.
A higher r-value (close to 1.0) indicates a strong positive correlation and therefore high validity. The results are compared with external benchmarks to confirm that the tests measure what they are intended to measure: general cognitive ability.
This norming method ensures that scores are:
As the tests reach a broader audience, the norms are continuously updated to maintain accuracy and relevance.
The tests are used to estimate an individuals IQ.
If you wish to know your exact IQ, you’ll need to schedule a professionally administered IQ test — such as the WAIS — with a licensed psychologist under proctored conditions.
To ensure accurate and reliable IQ scoring, each test goes through three stages of norm development based on the number of unique first submissions. The norm level indicates the statistical maturity of the score conversions.
(Approximately 10–15 first submissions)
This is the initial stage of norm development. The Preliminary Norm provides a rough estimate of IQ scores, normally within 3-5 IQ points based on a small sample of test takers.
(Approximately 30–35 first submissions)
At this stage, the test has been completed by a larger group of individuals. The Standard Norm reflects improved accuracy and offers a more representative conversion from raw scores to IQ estimates. This version is more reliable for general comparison.
(Minimum 50 first submissions)
The Full Norm is based on a statistically meaningful sample size. It provides a stable and well-balanced IQ scale and is considered suitable for public use and interpretation. Once a test reaches this level, it is regarded as fully normed.
Pearson's correlation coefficient (r), also called Pearson's R, measures the strength and direction of a linear relationship between two continuous variables. It is one of the most widely used statistical tools in psychology, social sciences, and various scientific fields.
The coefficient r ranges from -1 to +1:
+1 indicates a perfect positive correlation (as one variable increases, the other increases).
-1 indicates a perfect negative correlation (as one variable increases, the other decreases).
0 indicates no correlation (no relationship between the variables).
The formula for Pearson's R is:
r=∑(X−Xˉ)(Y−Yˉ)∑(X−Xˉ)2⋅∑(Y−Yˉ)2r = \frac{\sum (X - \bar{X}) (Y - \bar{Y})}{\sqrt{\sum (X - \bar{X})^2} \cdot \sqrt{\sum (Y - \bar{Y})^2}}
Where:
XX and YY are the two variables.
Xˉ\bar{X} and Yˉ\bar{Y} are their respective means.
Why Is Pearson's R Important?
Determines Relationships: It helps researchers understand whether two variables are related and how strongly.
Predictive Power: If two variables are correlated, one can be used to predict the other.
Foundation for Further Analysis: Many advanced statistical models, such as regression analysis, rely on Pearson's R to justify relationships between variables.
Standardized and Widely Used: It allows comparison of correlations across different studies and disciplines.
Since the early 20th century, psychologists have relied on Pearson's R to examine relationships between different psychological traits, behaviors, and cognitive abilities. Some key areas include:
Early IQ Studies: Psychologists like Charles Spearman used Pearson's R to analyze correlations between different cognitive tests, leading to the g-factor theory of intelligence (general intelligence).
Modern IQ Tests: Researchers continue to use correlation analysis to validate IQ tests by checking their consistency across different measures.
Personality Traits: Studies using Pearson's R explored correlations between personality traits (e.g., the Big Five personality model) and behaviors like academic success or job performance.
Twin Studies: Psychologists used Pearson's R to compare personality and intelligence correlations between identical and fraternal twins, leading to insights into nature vs. nurture debates.
Mental Health Studies: Pearson's R helped psychologists find relationships between mental health disorders and life factors (e.g., depression and social isolation, or anxiety and childhood trauma).
Therapeutic Outcomes: Correlation studies have been used to determine whether specific therapies are effective by comparing symptom reductions before and after treatment.
Academic Achievement: Psychologists examined correlations between study habits, intelligence, and school performance.
Standardized Testing: Pearson's R has been used to assess whether standardized test scores predict college success.
Brain Imaging and Cognition: With modern neuroscience, researchers use Pearson's R to correlate brain activity (from MRI or EEG scans) with cognitive abilities, emotions, or mental disorders.
Artificial Intelligence and Psychology: Recent work uses correlation analysis to compare human decision-making with AI models, improving our understanding of human cognition.
Sensitive to Outliers: Extreme values can distort correlation results.
Pearson's R has played a crucial role in psychology for over a century, helping researchers identify patterns and relationships in human behavior, intelligence, and mental health.
Spatial ability tests are considered one of the strongest indicators of general intelligence because they measure a person's capacity to visualize and manipulate objects mentally. These skills are highly correlated with reasoning and problem-solving abilities, which are key aspects of g. People with high spatial abilities are often good at tasks that require understanding three-dimensional objects, maps, patterns, and physical space.
Mental Rotation: Tests ability to mentally rotate objects in space (e.g., rotating a 3D shape in one's mind).
Spatial Visualization: Measures the ability to imagine how objects fit together or how they can be transformed.
Geometrical Patterns: Involves recognizing and completing patterns based on spatial relationships.
Navigation and Orientation: Tests skills in understanding and navigating physical spaces.
Ravens Progressive Matrices (Spatial subtests): Non-verbal reasoning tasks where participants identify patterns in geometric shapes.
Mental Rotation Tasks: Identifying rotated versions of objects.
Hidden Figure Tests: Finding a simple shape embedded in a more complex figure.
Strongly correlated with g because they require abstract thinking, logic, and the ability to manipulate and analyze information in a non-verbal context. Many scientific, engineering, and architectural fields depend on spatial intelligence, which ties into overall cognitive ability.
Numerical ability tests measure a person's ability to reason quantitatively, process numerical information, and apply basic mathematical concepts. These tests are crucial for assessing an individual's abstract problem-solving skills and logic, both of which are fundamental components of g.
Basic Arithmetic: Includes addition, subtraction, multiplication, and division.
Numerical Reasoning: Problem-solving involving numbers, often in the context of logic or abstract reasoning.
Pattern Recognition in Numbers: Tests the ability to detect numerical patterns or sequences and predict the next number.
Mathematical Word Problems: Applying mathematical reasoning to real-world scenarios.
Number Series Completion: Identifying the next number in a sequence.
Arithmetic Problem Solving: Solving complex arithmetic problems mentally.
Mathematical Aptitude Tests: General math-based reasoning tasks that require quick calculation and interpretation.
Numerical ability is closely related to reasoning and problem-solving, which makes it a good measure of g. The tests assess not just basic math skills, but also abstract logical thinking, which is a key aspect of intelligence. However, it may not be as universally applicable as spatial ability tests, since individuals may excel in one area (e.g., verbal intelligence) but struggle with numbers.
Verbal ability tests evaluate a person's capacity to understand and reason using language, as well as their ability to think abstractly with verbal concepts. While verbal intelligence is important for overall cognitive ability, it tends to focus on one domain of intelligence rather than testing the broader, multi-faceted cognitive skills involved in g.
Vocabulary Tests: Measures the ability to understand and use a wide range of words.
Analogies: Identifying relationships between words (e.g., cat is to kitten as dog is to puppy).
Reading Comprehension: Understanding and reasoning based on written text.
Word Meaning and Interpretation: Testing the ability to infer meanings from context.
Vocabulary Knowledge: Identifying the meaning of uncommon words.
Sentence Completion: Filling in the blanks in sentences with appropriate words.
Analogies: Solving problems that involve verbal relationships.
Comprehension Tests: Reading a passage and answering questions based on the content.
While verbal ability is an important aspect of g, it often reflects specific language skills that can be learned independently of other cognitive domains like mathematical reasoning or spatial visualization. However, verbal tests still correlate moderately with g, particularly in domains like reading comprehension, verbal reasoning, and analogy-solving.
Spatial Ability Tests offer the strongest measure of general intelligence because they assess abstract reasoning, problem-solving, and the ability to manipulate information non-verbally, which are core components of g.
Numerical Ability Tests provide a solid measure of general intelligence, as numerical reasoning and logic are essential for problem-solving in many domains, though they may not be as universally applicable as spatial tests.
Verbal Ability Tests measure one domain of cognitive ability (language), but they don't encompass the broader cognitive functions that contribute to g as well as spatial or numerical tests.
The Globally-Advanced Intelligence Network is a collection of exclusive high IQ societies for individuals who score in the upper ranges of intelligence.
The Globally-Advanced Intelligence Network
Metis is a high IQ society dedicated to recognizing and connecting individuals who demonstrate exceptional cognitive ability. Named after the Greek goddess of wisdom, deep thought, and practical intelligence, Metis represents more than just intellect — it symbolizes foresight, insight, and the constructive use of knowledge. Our society welcomes those who have achieved an IQ score of 125 or higher (SD15) on standardized intelligence tests, placing them in the top ~5% of the population.
Aristeia is a selective high IQ society for individuals who have achieved a score of 140 or above on a standardized intelligence test (SD15), placing them within the top 0.5% of the population. It serves as a haven for profound thinkers, abstract problem solvers, and original creators who are passionate about using their intellect to advance both personal and societal growth.
Aetheron is the pinnacle of intellectual societies — a sanctuary for those who have demonstrated cognitive ability in the top 0.01% of the population, with an IQ of 155 or higher (SD15). It is a place for minds that naturally navigate complexity, create structure from chaos, and perceive patterns others miss.