[Haskell-beginners] Applying a function to two lists

[Matt Williams]

Dear List,

I am stuck.

I have a function that needs to apply each item of one list to every 
element of the second list in turn.

So far, I have this function:

checkNum :: Int -> [Int] -> (Int,[Int])
checkNum a b = (a,filter (check a) $ b)

which implements what I need, but I now need to apply it to every 
element of the first list.

I am looking for something like:

list1 = [1,2,3,4,5,6]
list2 = [1,2,3,4,5,6]

map checkNum list1 list2

to return:

[(1,[1]),(2[3,4,5]),(6,[3])

(I have tried to simplify this a little, so my apologies if it looks 
pointless - the real function is useful)

Any help would be appreciated.

Matt