jogging won't help you as that works the aerobic system.
what you're gonna be doing is anaerobic. tabata intervals will help the most in short amount of time. i personally use the bodyweight one in the 2nd link. speed squats, burpees, mountain climbers, speed skips. if you're not huffing and puffing by the end you aren't pushing yourself hard enough.
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Each Tabata interval consists of 20 seconds of high intensity (as hard as you can go) exercise followed by 10 seconds of rest. This is repeated for eight rounds, totaling four minutes time.
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http://www.rosstraining.com/articles...intervals.html
http://www.tmuscle.com/free_online_a..._fast_fat_loss
also, you should consider training for the test by replicating the exact parts of the test. ex. if the test requires you to run up 30 steps of stairs. you can alternate between doing 30 fast as you can and 40-50 as fast as you can.