We use can in the present tense :
- to ask for permission.
- to say something is possible.
- to express abilities.
- cannot
- can't

COULD
We use could in the past tense :
- to express abilities in the past.
- to say something was possible.
- to ask for permission in a more educated way.
could + not = COULDN'T
EXERCISES
1.-Write ten things you could/couldn't do when you were six years old
- ....................................................................(swim)
- ....................................................................(read)
- ....................................................................(ride)
- ....................................................................(speak English)
- ....................................................................(jump 2 metres)
- ....................................................................(write e-mails)
- ....................................................................(chat on the internet)
- ....................................................................(watch tv )
- ....................................................................(go to a disco)
- ....................................................................(play computer games)
2.- Complete the sentences with can-can't-could-couldn't:
- We.................play tennis now, we had tennis lessons last year.
- .......................Paul speak English last month?
- She..................stop the car when she saw the big lorry.
- Mary .........................read English newspapers three years ago.
- They learnt to read French when he was a child so he ...................read too now.