Answer
(a) (3) 6.0 kg. Mass is a fundamental property and it does not change.
(b) 9.8 N
Work Step by Step
(b) Weight of the object on the moon is $\frac{1}{6}$ times the weight of the object on the earth. It is so because the acceleration due to gravity of the moon is $\frac{1}{6}$ times the acceleration due to gravity of the earth and weight is defined as $W=mg$.
$W_{Moon}=\frac{W_{Earth}}{6}=\frac{6.0\,kg\times9.80\,m/s^{2}}{6}=9.8\,N$