It's another example of BrE versus AmE.
In BrE, you take a "driving test". In AmE, it's a "driver's test".
I believe that in both BrE and AmE, we have/take "driving lessons". In America, I believe that there are classroom lessons available at school. This is knows as "Drivers' Ed" (Ed is short for Education). We have no such lessons in British schools.
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