Australian Mathematics Competition: 5 Years Past Papers, Junior Division.
Designed for home use, a package of the last five papers of the Junior division (Years 7 and 8). Includes an answer key but not fully worked solutions.
If you wish to practice for the AMC, you can enrol in GetSet AMC. This is an online practice course that is available (without waiting for shipping) from http://amt.edfinity.com/ and for only $6.
If you are interested in past AMC questions, each of the five AMC compendium books contains all the Junior, Intermediate and Senior questions and full solutions for seven years of the competition. The latest book (AMC Book 5) covers 2006 to 2012, Junior, Intermediate and Senior levels.