An IQ of 145 sits in the very high range, around the 99.87th percentile. Here is what that means, and what it does not.
Reference score
145
Percentile
99.87%
At or above
1 in 741
Reference scale
100 mean / 15 SD
145 is the upper endpoint of IQInsight’s provisional formula, not a verified measurement ceiling for a person.
Prepared by IQInsight · Calculation guide · Updated
145 is three standard deviations above 100—and our estimate ceiling.
On the mean-100, SD-15 normal model, 145 is exactly three standard deviations above the mean. The percentile is about 99.865, with roughly 0.135% at or above it, approximately one in 741. This model calculation can be precise even when the test result being interpreted is not.
IQInsight’s provisional formula has a maximum output of 145. An all-correct attempt reaches that ceiling. It does not establish that the person’s standardized IQ is exactly 145, or distinguish a hypothetical higher level. A test ceiling describes the limits of the instrument’s outputs; it is not a limit on a person.
How the percentile is calculated.
The reference uses a mean of 100 and a standard deviation of 15. First convert the score to a z-score, then find the area below it on the standard normal curve.
Theoretical normal distribution. Mean 100, standard deviation 15. This does not measure your IQ or compare you with IQInsight users.
Put the number in perspective.
In a normal distribution with mean 100 and standard deviation 15, about 0.13% of scores fall at or above 145. That is approximately one in 741. The figure describes the reference model; it is not a count of people we have tested.
The quality of the test matters.
A number alone does not show how accurately it was measured. An established, professionally administered test has supporting evidence and defined interpretation rules. An online exercise without representative norms cannot establish the same conclusions.
Nearby scores on the same scale.
Theoretical percentiles, mean 100 and standard deviation 15
An IQInsight estimate of 145 means its provisional formula reached its upper endpoint. It does not establish that a person’s abilities stop there or begin at a higher score. Review the answered items for useful feedback; a higher-range claim would require a different, appropriately validated assessment.
A score alone cannot tell you how a person thinks through a problem. This published sample illustrates a reasoning method; it is not calibrated to a 145 IQ level and does not predict a score.
At step 0, a marked arrow points up. Every step rotates the whole figure 90° clockwise. After every even-numbered step, reflect it top-to-bottom across a fixed horizontal line. Which complete figure appears at step 5?
A. Right, with the mark below the arrow
B. Right, with the mark above the arrow
C. Left, with the mark above the arrow
D. Up, with the mark on the right
Reveal the answer and reasoning
Answer: Right, with the mark below the arrow. The directions after full steps are right, up, right, up, right. At step 4 the whole figure is back at its starting position. The fifth clockwise turn points right and puts the original right-side mark below the arrow.
Check an alternative: Right, with the mark above the arrow. The direction matches step 3, but the mark has the wrong reflected position for step 5.
Try this approach. Track both the arrow tip and the asymmetric mark; apply rotation before reflection on even steps.
This is one of our public sample questions. Seeing the solution may make a future attempt more familiar. Explore the sample report to see how answers are explained.
A few things you might be wondering.
Clear answers, before you begin.
Does a maximum score of 145 prove my IQ is exactly 145?+
No. On IQInsight it means the provisional mapping reached its upper endpoint. The questions have not been calibrated against representative norms, and the result cannot determine a precise standardized IQ or a level above the ceiling.
Is 145 a good IQ score?+
On a theoretical scale with mean 100 and standard deviation 15, 145 is in the very high range, around the 99.87th percentile. Whether a particular test result supports that interpretation depends on the quality and standardization of that test.
How rare is an IQ of 145?+
Under that normal-distribution model, about 0.13% of values are at or above 145, approximately 1 in 741. This is a mathematical reference, not observed IQInsight user data.
Does this number describe all of my abilities?+
No. IQ scores do not describe every skill, interest, quality or circumstance. A score on an unstandardized online exercise is especially limited and should not be treated as a diagnosis or a prediction of personal success.
Can I compare scores from different tests?+
Only with care. Tests can differ in norms, scales, questions, administration and reliability. Similar-looking numbers are not necessarily equivalent measurements.
Can I get my result without paying?+
Yes. IQInsight is designed to provide the estimated score, theoretical percentile and all four domain breakdowns for free. The optional report explains the answers in more detail.
