The problem with situps is when your core isn't super strong you're using a LOT of other muscles, that's why fatigue sets in so fast. If you get that core strong, trust me, situps are a breeze. Abs respond REALLY fast when you give them the right work. Is there any chance you can do other ab exercises? I don't mean for the test, I mean between now and then? I know for myself things like seated/kneeling cable crunches or (especially) hanging leg lifts are a helluva lot harder.
If you can't do hanging leg lifts, then in addition to the other suggestions, straight forward lying on the floor leg lifts isolate the abdominals well, esp. the kind they do in basic, where you lie on the ground, raise your legs up about 10" and then flutter kick. Buggers, but they isolate the abs.