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In this question there is a grid of equilateral triangles in the shape of a star, mostly coloured grey, but with two adjacent black triangles (making a diamond shape) and one white triangle. The

The black diamond moves around the inner hexagon of the star, rotating each time by 60? clockwise. Following this rule, for the next diagram of the sequence, the diamond should rotate to the two triangles in the top left corner of the hexagon. The correct answer, therefore, could be A, B or D.

The white triangle moves around the outer perimeter of the star, rotating by 120? anticlockwise each time. Following this rule, for the next diagram in the sequence, the white triangle should rotate to the top left point of the star.

The correct answer, therefore, is A.

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In this question there is a black square and a grey square that move around the perimeter of the grid each according to its own rule.
The black square moves alternately 4 places clockwise and 7 places anticlockwise.
The grey square moves alternately 7 places clockwise and 4 places anticlockwise.
To find the next diagram in the sequence, therefore, the black square must move 4 places clockwise and the grey square must move 7 places clockwise.

The correct answer, therefore, is C.

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The correct answer is B

First Rule: Each step, the shaded square moves 3 squares clockwise round the edge of the figure.
Second Rule: Each step, the cross-hatching moves 1 square anticlockwise round the edge of the figure, disappearing behind the shading when the two coincide.

Third Rule: The circle (which starts behind the shaded square in figure 1) moves 1 square left to right, starting again at the left of the figure when it drops down a row.

Fourth Rule: The triangle moves 1 square right to left, starting again at the right of the figure when it goes up a row, and disappearing behind the shading when they coincide.

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The correct answer is C
First Rule: The shape in the centre comprises 1 fewer straight line every time.
Second Rule: The shape in the top left alternates between being a triangle and being a square.
Third Rule: There is a cross when both shapes have the same number of sides, and a tick when they have different numbers of sides.
Fourth Rule: The location of the cross or tick moves from the top right to bottom left to bottom right, and the pattern then repeats.

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The correct answer is A
First Rule: The door moves to the right, centre, left then centre, always in line with the window immediately above it, and then the pattern repeats.

Second Rule: First only upper storey windows are leaded, then only the lower storey windows are leaded, then all windows are leaded. This pattern then repeats.

Third Rule: Starting at the bottom right window, the figure visits each window in turn in an anticlockwise direction.

Fourth Rule: The house alternates between not having a chimney stack and having a chimney stack.