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) BeF₂ is soluble in water
The correct statements are of
 

As electropositivity of Metal increases reaction with water increases, 

$\mathrm{M}\left(\mathrm{IIA}\right)+2{\mathrm{H}}_2\mathrm{O}\to \mathrm{M}{\left(\mathrm{OH}\right)}_2+{\mathrm{H}}_2\uparrow$

${\mathrm{BeH}}_2<{\mathrm{MgH}}_2<{\mathrm{CaH}}_2<{\mathrm{SrH}}_2<{\mathrm{BaH}}_2$

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]

Fluorides of alkaline earth metals except BeF₂ are insoluble in water. The solubility of BeF₂ in water is due to the higher hydration energy on account of the smaller size of Be²⁺ ion and F⁻ ion and the high charge density of Be²⁺ ion.