  This paper studies the chirality of knotoids using shadow quandle colorings
and the shadow quandle cocycle invariant. The shadow coloring number and the
shadow quandle cocycle invariant is shown to distinguish infinitely many
knotoids from their mirrors. Specifically, the knot-type knotoid $3_1$ is shown
to be chiral. The weight of a quandle 3-cocycle is used to calculate the
crossing numbers of infinitely many multi-linkoids.
