When the solutions are diluted in half:
So [ Ca+2] = 0.001/2 = 0.0005 M
[SO4-2]= 0.01/2 =0.005
when Q = [Ca2+][SO4-2]
so by substitution:
Q = 0.0005*0.005 = 2.5x10^-6
by comparing with Ksp value
So when Q < Ksp
∴ the answer is no precipitation will occur, as the solution is unsaturated.