1 a

The right column of the grid is a reflection of the left column, using the central vertical line as a mirror line. The bottom row of the grid is a reflection of the top row, using the central horizontal line as a mirror line.

2 b

In each row, the right column of the grid switches the sizes of the shapes in the left column. The right column is also a mirror reflection of the left column, using the central vertical line as a mirror line. The colours of the shapes are switched in each row (e.g., in the first row the largest shape is purple and the smaller shape is white, but in the second row the largest shape is white and the smaller shape is purple).

3 d

The right column is a mirror reflection of the left column, using the central vertical line as a mirror line.

4 c

Looking at each row of the grid from left to right, the white shape moves clockwise around the corners of each box and the black shape moves anticlockwise around the edge of each box.

5 a

Looking at each row of the grid from left to right, each box moves one space right each time.