Fiqh of fasting : How many kinds of fast are there?

Q.6: How many kinds of fast are there?
A. There are five kinds of fast i.e. (1). “Fard”(Farz), (2). “Waajib”, (3). “Nafil”, (4). “Makrooh Tanzeehi” and (5). “Makrooh Tahreemi”.
Q.7: How many kinds of Fard and Waajib fasts are there?
A. There are two kinds of (each) Fard and Waajib fasts i.e. “Mo’aie-yan” (fixed, appointed) and “Ghaier Mo’aie-yan” (non-fixed, on-appointed).
Q.8: Which fasts are “Fard Mo’aie-yan”? A. “Fard Mo’aie-yan” (fixed, appointed) obligatory fasts are such as the fasts of Ramadaan which are observed in the month of Ramadaan only and “Fard Ghair-Mo’aie-yan” (non-fixed,non-appointed) obligatory fasts are such as “Qada,Qaza” (missed,omitted) fasts of Ramadaan and the fasts of atonement irrespective of atonement for breaking fast before time or any other act.