I can not tell you which form you need to fill out. It can varies among the different A-kasser. Be aware that you have contactet us, www.a-kasser.dk. We are not your A-kasse, but a generel guide about a-kasse and dagpenge.
So, you should contact your own A-kasse as soon as possible, and at latest 2 weeks after graduation.
What will be the best for you to do, i.e. if it will be a good idea to receive supplementary benefits, depends on many different factors.
You have up to maximum 30 weeks with supplementary benefits. But it will be enough until you start on the Master, so in this way it could probably be a good option for you to receive supplementary benefits.
Please note, that supplementary benefits is only an option if you can quit your part-time job with one day notice. And like others who receive benefits you must be willing to take a full-time job. You must search for full-time jobs.
It is not relevant if you earn less or more than DKK 13.489. If you are on supplementary benefits you will every month get paid for the hours you are missing up to 160,33. The A-kasse will not look on how much you have earned, only how many working hours your employer have registered for you.
If you complete a master with a duration of at least 18 months, you can earn a new period with dagpenge as an graduate.
There's is no right or wrong decision when it comes to decide whether to receive supplementary benefits or not, so it is something you must decide your self. But we recommend that you contact your A-kasse as soon as possible, and together with them find out what is best for you to do.