Not only do our bodies come in different sizes and shapes, so does our brains. Unlike the body, there is not a specific brain type handed out to a specific gender, but the proportions of different types of brains are definitely not equal between the genders.
The IQ test has been modified over the years to produce similar average results for both males and females, but it would be very difficult to design a test to produce an even gender distribution across the entire ranged of IQ scores. In order to have equal numbers of each gender having IQ scores over 130, they would have to specifically design the IQ test for this range. As some have said, there would still be school specific variations due to the relatively small numbers in this range.
One of the problems with IQ tests are they are a timed test of very basic questions. A lot of people think it is only common sense that in order to perform more complex work, a person must first be able to perform simpler work. In some ways, this is true, but not in the way most people think. What a lot of people judge to be more complicated work is not in fact more complicated.
Males on average are better suited to rapidly changing daily activities. A person in the early stages of a career are often put in roles where this is a valuable skill. Females on average are far better at long term planning. If this was understood, long term planning would be an entry level position for those who are born with the brain type suited to this particular skill. Instead, those who do the long term planning are often choosen by their skills in these so called entry level positions.
A brain type suited to one area of math is not necessarily suited to another area of math. An engineer does not necessarily make a good architect. The brain is a neural network and the way neural network design varies the strengths of the system is not at all similar to how we organize information or separate skills into subjects.
