Archive Page Tweak

[StuUK]

I am trying my damdest to do this without asking but it is driving me wild!

I am wanting to split up the posts into categories. Where the "by post" is I want, Cat 1, then the list, Cat 2, then the list etc etc. I have a fixed number of Categories so the Cat title will be hardcoded, I just need to know the code that pulls the specific categories under each heading.

Ive tried this but its not working, any ideas

<ul>
                     <?php $recent = new WP_Query("cat=1&showposts=10"); while($recent->have_posts()) : $recent->the_post();?>[*]<?php the_title(); ?>
                            <?php endwhile; ?>[/list]

cat=1 would change depending on what cat to be listed