The following are some statements related to IIA group metals

I) The reaction with water increases from Be to Ba

II) The ionic nature of hydrides decreases from Be to Ba

III) The thermal stability of the peroxides increases with increase in cationic size

IV) The solubility of halides increases from Mg to Ba

The correct statements are of

As electropositivity of Metal increases reaction with water increases, 
 

As the size of central metal increases electropositivity (or) metallic nature increases and hence ionic nature of hydride increases 
BeH₂ & MgH₂'s are covalent hydrides 
Ca,Sr,BaH₂ are ionic hydrides

As the size of cation increases stability of peroxides increases
Since, a large size cation [Ba⁺²] will stabilise the larger size anion [O₂^-2]