Runescape Combat Leveling Guide Chapter5.

At this point, you should pretty much have the hang of combat training, listed below you will find some locations of good monsters to train on.
Cave South of Rimmington/Ice Caves .

Continue training here until you are at least level 53:

ATTEMPT THE DRAGON SLAYER QUEST!

It may seem scary to fight the dragon at first. I would suggest finding a quest guide for this quest if you are fairly new to Runescape. The first time I fought him I was level 51, and I did manage to beat it. After you have beaten this quest you can wear Full Rune. I would also suggest buying a Rune Scimitar or Battle Axe as well.
Karjama Island: level 50-60

At these levels you should focus on the level 34 Deadly Red Spiders. However, for a good challenge, bring lots of food and fight the level 82 Lesser Demons. They take a lot longer to kill, but the experience is great.

Congratulations! You have just reached combat level 60. After you have reached level 60 you should really consider becoming a member, if you are not so already.