Theres a difference between intelligence and "being smarter". Being smart is simply being good at one or two subjects, someone who is a maths genius is pretty smart but they're not intelligent if they can't socialise properly or work out why no one likes them.
Someone who is academically clever is not nesscarily intelligent, for example a girl at my school has got straight A*s at her GCSEs but I still caught her saying "I thought George Bush was president of England" (just after Barack Obama was elected) . Common sense, creativity and a general understanding of the world show more intelligence then memorising facts and figures to pass tests.
I like to think about it as a character creation screen for an RPG, you've got 50 points to spend on your stats and the catergories are Mathmatics, Literacy, Art, Philosopy and Social intelligence. Someone who goes a full 50 points into maths may seem clever but infact they have no clue about the world around them, while someone who has the points spread out will be far more intelligent.
But I'm tired and have forgotten the point I was trying make :)