Females actually show superiority during elementary school in computational ability. Males do, however, excel in mathematical problem solving ability. So, the perceived differences in intelligence between girls and boys are true, but not on the same scale as most people believe. The actual differences are very small, and may largely reflect sociocultural expectations and environmental influences rather than actual biological differences. There will always be great women physicists and great men playwrights.
Males apparently excel in visual-spatial abilities.
Beginning in adolescence, boys usually outperform girls on tests of spatial ability which assess skills such as mentally rotating figures in space and finding figures embedded within larger designs. Although Eleanor Maccoby and Carol Nagy Jacklin concluded that there are no cognitive differences between males and females, they did conclude there is quite a difference in aggressive behavior, with males showing more aggression than females. This was a showing well established in all cultures where aggression had been studied, actually. Their study involved the play of children at about 4.5 years old. Additionally, it is shown that both men and women equally are involved in child abuse, but men are far more often involved in the aggressive portions.