POSS Domain 4: Figural Reasoning

A sequence involves flipping a shape horizontally then vertically in alternating steps. If a shape resembling a letter 'p' starts the sequence, what will it look like on the fourth step?

An arrow points north and moves one step clockwise each sequence. Additionally, the arrow's tail extends slightly longer with each move. What will be its direction and tail length on the fifth move?

A sequence of circles starts with one circle. Each step adds another circle inside the previous one. If the pattern continues, how many circles will be visible in the fifth frame?

In a pattern, a square divides into four smaller squares each step. If the original square is blue, every new square alternates between red and blue. What color will the majority of squares be in the third step?

A row of triangles alternates colors between black and white starting with black. If the sequence adds a new triangle to the right each time and maintains the color pattern, what will be the color of the seventh triangle?

A sequence of squares starts with a large square, inside of which a smaller square is placed in the next step, and this pattern continues. If the first two squares are white, and each subsequent square alternates colors between black and white, what color will the fifth square be?

In a progression of figures, each step rotates a pentagon 72 degrees clockwise and changes its color from black to white and vice versa. If the initial pentagon is black and oriented with one vertex pointing upwards, what will be its color and orientation on the seventh move?

A sequence shows an octagon rotating 45 degrees counterclockwise each step. If the sequence also involves the octagon changing size from small to large every other step, starting small, what will its size and orientation be on the sixth step?

In a series of changes to a rectangle, each step divides the rectangle vertically into three equal parts, each of which then changes color from red to blue or blue to red. If the initial rectangle is red, how many blue rectangles will there be after three steps?

A pattern of hexagons starts with one hexagon, then each side spawns an attached hexagon in the next step. If this pattern continues, how many hexagons will be directly touching the original hexagon on the fourth step?

In a sequence of images, a circle is surrounded by squares, with each square touching all its neighbors. Each step adds another layer of squares around the existing pattern. How many squares will touch the circle directly in the third step?

A row of shapes begins with a circle, followed by a square, and then an equilateral triangle. If the sequence repeats and each shape rotates 30 degrees clockwise with each appearance, what will the orientation of the triangle be in its fourth appearance?

In a progression, each step adds a layer of triangles around an initial central triangle, with each new layer containing twice as many triangles as the last. How many triangles are in the third layer?

A sequence of ellipses starts with one vertical ellipse. Each subsequent ellipse rotates 45 degrees from the previous position. What will be the orientation of the fifth ellipse?

In a pattern of expanding shapes, each step increases the size of a square and changes its color from black to white or white to black, starting with black. If the square triples in area each step, what will be its color and relative size in the fourth step?

A series of shapes changes from a square to a circle and then to a triangle. If the pattern repeats every three shapes, what will be the seventh shape in the sequence?

In a sequence, a triangle rotates 90 degrees clockwise with each step. If the triangle is pointing up initially, what direction will it point on the fifth step?

A pattern shows a rectangle split into smaller rectangles. Each step doubles the number of smaller rectangles. If the first step shows 2 smaller rectangles, how many will be there in the fourth step?

A grid of dots includes 3 dots in the first row, 6 in the second, and 9 in the third. If this pattern continues, how many dots will be in the sixth row?

In a sequence of shapes, each shape moves one position clockwise and increases in size. If a small square is at the top left corner initially, what will be its position and size on the third move?