okay hmmm
"An induced current is always in such a direction as to oppose the motion or change causing it" -wiki
but that doesn't help much huh so...
here's how i do it.
change in flux increase => an induced flux in the opposite direction
change in flux decrease=> as induced flux in the same direction
e.g.
1. In this diagram (VCAA '07 Q14,15) once the switch is turned on there is an increase in current (nothing to something).
2. The current will produce a magnetic field (direction can be found using right hand rule) which will be an increase in flux (nothing to something).
3. Hence the induced flux will be in the opposite direction.
4. Then by the right hand rule the current's direction can be found.
Red - induced, Black - original
p.s. attached a nice picture of the file of a solenoid if right hand rule is too confusing (pretty much you have to have you hand going into the solenoid and wrap your thumb on the top coil)