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In this question each diagram has two polygons. The total number of sides of the two polygons increases by one each time. For the missing diagram of the sequence, the total number of sides should be eleven.
The correct answer is B which shows a heptagon (seven sides) and a rectangle (four sides).

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In this question there is a triangle, a square and a dot that move around a hexagonal star. Each moves according to its own rule. The white triangle stays in the middle of the hexagon, its colour does not change, but it is inverted
from one diagram to the next. The square moves from one triangle of the star to the opposite triangle and its colour alternates between white and black.
The dot rotates around the triangles of the star, rotating by 120? clockwise each time. Its colour
does not change. When all these rules are applied together, the missing diagram of the sequence must be C.
 

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In this question, the pattern of squares and rectangles follows two rules alternately.
The first rule is a rotation of 90? anticlockwise.
The second rule is a reflection in the vertical axis.
Following these rules, to obtain the next diagram of the sequence, the first rule should be applied
next and the correct answer could be A, B or C.
At the same time, the shading of the non-white tiles changes and follows this sequence: black
changes to dark grey, changes to medium grey, changes to light grey, changes to medium grey,
changes to dark grey, changes to black etc.
Following this rule, the correct answer is C.

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In this question there is a regular pentagon inside a square inside a regular hexagon. Each shape follows its own rule.
The regular pentagon rotates by 144? clockwise each time.
The square rotates by 90? anticlockwise each time.
The regular hexagon is reflected in its vertical axis of symmetry each time.
When these rules are applied simultaneously, the next diagram in the sequence is B.

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In this question there are two rules to follow that are applied simultaneously.
The first rule is that the dots in the first row move down to the second row.
The second rule is that for each column, the dots are added and the totals placed in the corresponding squares of the top row. When these two rules are applied simultaneously, the correct diagram to replace the ? is C.
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