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Looking across an outer circle is removed, looking down an outer circle is added..

6 * 9 = 54 (reading down the middle two blocks).

The inner hexagon is being dismantled one side at a time working anticlockwise, while the outer hexagon is being constructed one side at a time working clockwise..

Looking across and down the triangles turn through 90 degrees.

Triangle is rotating 90 degree in clockwise direction at each step and inner and outer circles are filling and infilling alternatively and step by step..

The black dot is moving up (then down) by one position at each stage..

In each line across and down the arrows point in each of three directions left, right and down. The number of arrows increases 1, 2, 3 in each row..

lines across proceed!+2, –3, +2.! !Lines down proceed!–3, +2, –3.

Looking across and down, lines are carried forward from the first two squares to the final square, except where two lines appear in the same position in the first two squares, in which case they are cancelled out..

(6 + 7) – (4 + 5) = 4.

In each row and column only lines that are common to the first two squares are carried forward to the final square..

(6 + 8) – 9 = 5.

Black dot is moving on step down and starts from after last step.!One triangle is shaded and unshaded triangles are alternative..

Square is rotating 90 degree clockwise at each step..

12 * 7 = 84!8 + 12 + 7 + 4 = 31.

6 * 4 = 6 + 18!7 * 3 = 11 + 10!9 * 2 = 5 + 13!and!16 * 4 = 32 + 32.

42 / 3 = 14!and! !51 / 3 = 17.

Looking across, the dot in the top left-hand quarter moves to the opposite corner, the dot in the top right-hand quarter moves one corner anticlockwise at each stage, the dot in the bottom left-hand quarter moves between the top two corners, and the dot in the bottom right-hand quarter moves one corner clockwise at each stage..

In lines and columns, add the first three numbers to arrive at the fourth number.

After two rotations both white and black dots will be at the lowest corner of the hexagon where black dot is present now..

Looking across, the letters jump +2, +3 in the alphabet!For Example!AbCdeF.! !Looking down, they progress +4, +5!For Example!AbcdEfghiJ..

Starting from first row triangle rotates 90 degree clockwise in 2 steps and then rotates 90 degree anticlockwise to start new row..

To each arc, add a quarter of a circle clockwise.

Looking across, the dot moves 45 degree clockwise at each stage, but looking down it moves 45 degree anticlockwise.

The rectangle starting on the left is moving from left to right one place at a time at each stage.

Looking at lines of numbers from the top! !9 * 8 = 72!72 * 8 = 576!576 * 8 = 4608.

The number of white dots is increased by one each time, both vertically and horizontally, and all white dots are connected.

The large rectangle is being dismantled, half a side at a time anticlockwise! !the small rectangle is being constructed half a side at a time clockwise..

The square goes inside the diamond and the diamond in turn goes inside the pentagon, which turns onto its base..

Each pair of circles are mirror images of each other..

Add the digits of each three-digit number to obtain the two-digit numbers.

Looking across and down, only dots that appear in the same position in the first two squares are carried forward to the third square! !however, they then change from black to white and vice versa..

In each row and column in order to arrive at the final number multiply the first two numbers together and divide by 6..

(8 + 7) * 5 = 75.

Two black circles are filling up the white circles by moving in anticlockwise direction but at one step only one black circle moves..

Start at the top left corner and work along the top line, then back along the second line, etc, adding nine then deducting three..

(73 + 25) / 2 = 49.

So that the numbers in the triangles, squares and circles add up to 33.

Each number indicates its position in the grid. 55 indicates row 5 column 5.

the dot moves corner/side anticlockwise, the straight line and the curved line both move corner to corner clockwise..

The circle becomes a square and the four white squares become white circles..

As is first row 4th shape has the shaded region of both first two shapes!So in second row both of the bottom rectangles will be shaded..

Each line across and down contains five black dots and four white dots.

The numbers round the centre increase by seven (in the others they increase by three and five respectively)..

Looking across, the number of dots increases by one and white becomes black.! !Looking down, the number of dots decreases by one and the dots stay the same colour..

Looking across each line add three!and!looking down each column add two..

In each line and column, each of the three rings is shaded black once..

Looking both across and down, only lines that appear in both the first two squares are carried forward to the third square..

Inner and outer black circles are moving up and down in opposite direction and vanishes on reaching at corner and starts again..

Only lines that appear three times in the same position in the first three squares are carried forward to the final square..

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