Qadha fast must be performed before the next month of Ranadhan. If you delay it, then there is a Kaffara for the delaying the Qadha fast. It is feeding one poor person for every delayed day of Qadha. Feeding means giving food either ready meal or food grains like wheat or rice etc. The amount is 750 grams per person per day.
Assuming that your mother has passed, besides whether it is wajib for you or not, it would be the most noble and most loyal thing for you to do. Your mother might have forgotten, or unintentionally neglected, or gone through some difficulties, and did not perform her acts of worship.
You, the loyal son, are able to compensate that and the reward and blessings will not only go to her, but to you as well. In some hadiths it says there are some children who are loyal to their parents while alive, and not loyal when they die. Being not loyal is not doing dua or prayers or good deeds for them.
If you cannot roughly estimate, or have no idea, you have two options:
1. Pray what you can, as long as you are healthy and have time. The bonus is it's extra 'ibadah for you, which is a wonderful thing.
2. You can hire someone to do the 'ibadaat on behalf of your mother. There are many poor mu'mineen/mu'minaat who live off doing 'ibaadaat hire. Pay for whatever you are financially capable of.
For a person who has Qadha of obligatory prayers undone yet, Nawaafil and recommended prayers are permissible and valid provided it does not hold you or make you neglect performing your obligatory Qadha.
Your priority is fulfilling your wajib, and then turning to nawafil. If you were to pray your qadha` prayers during the time of your nawafil, you will also be granted reward as well. So, as long as you have qadha` prayers, you should not be doing nawafil, and with a good routine for qadha' prayers you will be able to finish it in an adequate time.
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