The 7 Strong Acids - Acids with a halogen anion (except F) and polyatomic anions where there are 2 or more oxygens more than the number of hydrogens (except for polyatmoic ions containing carbon -- which always form weak acids).
Hydrochloric acid - HCl
Hydrobromic acid - HBr
Hydroiodic acid - HI
Perchloric acid - HClO4
Chloric acid - HClO3
Sulfuric acid - H2SO4 (note only the first proton is strong)
Nitric acid - HNO3
The 8 Strong Bases - Group 1A except (of course) Hydrogen, Ba, Sr, Ca
Lithium hydroxide - LiOH
Sodium hydroxide - NaOH
Potassium hydroxide - KOH
Rubidium hydroxide - RbOH
Cesium hydroxide - CsOH
Calcium hydroxide - Ca(OH)2 (weakly soluble in water)
Strontium hydroxide - Sr(OH)2 (weakly soluble in water)
Barium hydroxide - Ba(OH)2 (weakly soluble in water)