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Question 1Pattern Completion
A 3-by-3 grid is missing its bottom-right square. The top row shows a circle, then a circle with a dot, then a circle with two dots. The middle row shows a triangle, then a triangle with a dot, then a triangle with two dots. The bottom row shows a square, then a square with a dot, then the missing square. What belongs in the missing square?
- A square with three dots
- A square with two dots Correct answer.
- A circle with two dots
- A plain square with no dots
Explanation
Each row keeps the same outer shape and adds one more dot as you move right: zero dots, then one dot, then two dots. The bottom row keeps squares, so the third entry must be a square carrying two dots. The column pattern confirms this, since the third column always holds the two-dot version of its row's shape.
Question 2Pattern Completion
In a 3-by-3 pattern-completion grid, the left column shows a small black diamond, the middle column shows a medium black diamond, and the right column shows a large black diamond. Each row repeats this size progression with a different shape. The bottom row already contains a small and a medium hexagon. What completes the bottom row?
- A large hexagon Correct answer.
- A large diamond
- A medium hexagon
- A small hexagon
Explanation
The columns control size: left is small, middle is medium, right is large. The rows control which shape appears, and the bottom row uses hexagons. Combining the right-column size with the bottom-row shape gives a large hexagon.
Question 3Pattern Completion
A grid's top row contains a shape that is half shaded on the left, then the same shape with the left half shaded darker, then the same shape fully shaded. The second row shows a shape with a single dot, then the same shape with two dots, then the same shape with three dots. The third row shows a shape with one arrow, then the same shape with two arrows, and then the missing cell. Which principle determines the missing cell?
- The third row should show the shape with one arrow, because the first column always repeats
- The third row should show a fully shaded shape, because the first row ends fully shaded
- The third row should show the shape with two arrows, because arrows stop increasing after two
- The third row should show the shape with three arrows, because each row increases its repeated element by one across the columns Correct answer.
Explanation
In each row the repeated element grows by one unit from left to right: shading intensity in row one, dots in row two, arrows in row three. The third column therefore carries three of whatever element the row uses. Since the third row uses arrows, the missing cell shows three arrows.
Question 4Pattern Completion
A 3-by-3 grid uses rotation. The top row shows an arrow pointing up, then an arrow pointing right, then an arrow pointing down. The middle row shows an arrow pointing right, then an arrow pointing down, then an arrow pointing left. The bottom row shows an arrow pointing down, then an arrow pointing left, then the missing cell. What completes the grid?
- An arrow pointing right
- An arrow pointing down
- An arrow pointing left
- An arrow pointing up Correct answer.
Explanation
Moving one cell to the right rotates the arrow 90 degrees clockwise, and moving one cell down does the same. From the bottom-middle arrow pointing left, one more clockwise quarter turn gives an arrow pointing up. Reading the diagonal also confirms a consistent clockwise shift.
Question 5Pattern Completion
In a grid, the top row shows a figure, then the same figure reflected left-to-right, then the original figure again. The middle row shows a different figure, then its left-to-right reflection, then the original figure. The bottom row shows a third figure, then its left-to-right reflection, and then the missing cell. What belongs in the missing cell?
- A vertical reflection of the third figure
- The original third figure, unreflected Correct answer.
- The left-to-right reflection of the third figure
- A 180-degree rotation of the third figure
Explanation
Every row follows the same alternation: original, mirror image, original. The third column always returns to the unreflected figure, so the bottom row's third cell is the original third figure. The reflection appears only in the middle column.
Question 6Pattern Completion
A grid's first row shows a shape with its outline only, then the same shape with a light fill, then the same shape with a solid dark fill. The second row shows a different shape with outline only, then light fill, then solid dark fill. The third row shows a third shape with outline only, then light fill, and then the missing cell. Which cell completes the pattern?
- The third shape with outline only
- The first shape with solid dark fill
- The third shape with solid dark fill Correct answer.
- The third shape with light fill
Explanation
The columns fix the fill level: outline in column one, light fill in column two, solid dark fill in column three. The rows fix which shape is drawn. The bottom-right cell therefore takes the third row's shape at the third column's fill level, a solid dark fill.
Question 7Pattern Completion
In a pattern-completion grid, the number of small squares inside each figure increases down each column: column one has 1, 2, 3; column two has 2, 3, 4; column three has 3, 4, and a missing value. The outer shape stays the same within each row. What is the missing number of small squares?
- 4
- 6
- 5 Correct answer.
- 3
Explanation
Each column increases by one going down, and each column starts one higher than the column to its left. Column three runs 3, 4, so the next value is 5. Checking across rows also works, since every row increases by one from left to right.
Question 8Pattern Completion
A grid's top row shows a black circle, a white circle, then a black circle. The middle row shows a white square, a black square, then a white square. The bottom row shows a black triangle, a white triangle, and then the missing cell. What completes the bottom row?
- A black triangle Correct answer.
- A black square
- A white circle
- A white triangle
Explanation
Within every row the shading alternates, and the first and third cells always share the same shading. The bottom row begins with a black triangle, so its third cell is again a black triangle. The shape stays constant within a row.
Question 9Pattern Completion
A 3-by-3 grid contains a single dot that moves one cell clockwise around the border at each step, reading left to right, top to bottom. The dot starts in the top-left corner, then top-middle, then top-right, then middle-right, then bottom-right, then bottom-middle, then bottom-left, then middle-left. Where is the dot in the ninth cell?
- Bottom-left corner
- Middle-left cell
- Top-left corner Correct answer.
- Top-middle cell
Explanation
The dot travels clockwise around the eight border cells and returns to its starting point after eight moves. The ninth cell is one full cycle later, so the dot is back in the top-left corner. Counting the eight listed positions confirms the ninth repeats the first.
Question 10Pattern Completion
In a grid, each row contains the same three shapes in the same left-to-right order, but each row is shifted one place to the left relative to the row above, with wraparound. The top row reads star, moon, sun. The middle row reads moon, sun, star. What does the bottom row read?
- Star, moon, sun
- Sun, moon, star
- Sun, star, moon Correct answer.
- Moon, star, sun
Explanation
Each row is the previous row shifted one place left, with the first shape moving to the end. Shifting moon, sun, star left gives sun, star, moon. The columns then each contain all three shapes exactly once.
Question 11Pattern Completion
A grid's top row shows a figure, then the same figure enlarged, then the same figure enlarged again. The middle row shows a different figure at the same three sizes. The bottom row shows a third figure at the first two sizes, and the third cell is missing. Which description fits the missing cell?
- The first figure at the largest size
- The third figure at the middle size
- The third figure at the smallest size
- The third figure at the largest size Correct answer.
Explanation
Columns control size, growing from smallest to largest left to right, while rows control the shape. The missing cell sits in the third column and the third row, so it shows the third figure at the largest size. This keeps both the size and shape rules intact.
Question 12Pattern Completion
A grid uses a rule where the third cell in each row combines features of the first two. In the top row, a striped circle and a dotted circle produce a striped-and-dotted circle. In the middle row, a striped square and a dotted square produce a striped-and-dotted square. The bottom row shows a striped triangle and a dotted triangle. What belongs in the third cell?
- A striped-and-dotted circle
- A striped triangle
- A striped-and-dotted triangle Correct answer.
- A dotted triangle
Explanation
The third column merges the surface patterns of the first two cells while keeping the row's shape. Combining striped with dotted yields a triangle that is both striped and dotted. The shape is taken from the row, not from another row.
Question 13Pattern Completion
In a pattern-completion grid, the first column shows an open shape, the second column shows the same shape with its outline thickened, and the third column shows the same shape with a double outline. Each row uses a different shape. The bottom row already shows an open pentagon and a thick-outlined pentagon. What completes the row?
- A pentagon with a double outline Correct answer.
- An open pentagon
- A double-outlined hexagon
- A pentagon with a thick outline
Explanation
The columns set the outline treatment: single open outline, thick outline, then double outline. The rows set the shape, and the bottom row uses pentagons. The third cell therefore shows a pentagon with a double outline.
Question 14Pattern Completion
A grid's rows each contain three figures. In every row, the third figure is the first figure turned 90 degrees clockwise. The top row shows an L-shape, then an unrelated filler figure, then the L-shape turned 90 degrees clockwise. The middle row shows an L-shape turned 90 degrees clockwise, then a filler figure, then an L-shape turned 180 degrees. The bottom row shows an L-shape turned 180 degrees, then a filler figure, and then the missing cell. What completes the bottom row?
- The L-shape turned 180 degrees
- The L-shape turned 270 degrees clockwise Correct answer.
- The original L-shape unrotated
- The L-shape turned 90 degrees clockwise
Explanation
The third column always applies one extra 90-degree clockwise turn to the first column's figure. The bottom row starts at 180 degrees, so adding another quarter turn gives 270 degrees clockwise. The middle column is filler and carries no rule.
Question 15Pattern Completion
A grid's top row shows a small shape in the left cell, the same shape in the middle cell, and the same shape in the right cell, all identical. The middle row shows a small shape, a medium shape, and a large shape. The bottom row shows a small shape, a small shape, and a missing cell. Which rule explains the grid, and what fills the missing cell?
- Size increases across every row, so the missing cell is a large shape
- Size increases across the middle and bottom rows, so the missing cell is a large shape
- Each row has its own size rule, and the bottom row keeps size constant, so the missing cell is a small shape Correct answer.
- Size stays constant within a row, so the missing cell is a small shape
Explanation
Rows one and three hold size constant, while row two grows from small to large. Because each row carries its own size rule, the bottom row's third cell matches its first two cells and stays small. Treating size as a single global rule would wrongly force a large shape there.
Question 16Pattern Completion
A grid's first row shows a figure, then the same figure with a dot added at the top, then the same figure with dots added at the top and bottom. The second row shows a different figure, then the same figure with a dot added on the left, then the same figure with dots on the left and right. The third row shows a third figure, then the same figure with a dot added at the top, and then the missing cell. What completes the third row?
- The third figure with dots on the left and right
- The third figure with a single dot at the top
- The third figure with three dots
- The third figure with dots at the top and bottom Correct answer.
Explanation
Within a row, dots are added in opposite pairs: the second cell adds one dot, and the third cell adds the matching dot on the opposite side. The third row begins with a top dot, so the missing cell adds the bottom dot as well. The number of dots grows by one per cell, reaching two.
Question 17Pattern Completion
In a grid, the left column shows a shape divided into 2 equal parts, the middle column shows the same shape divided into 4 equal parts, and the right column shows the same shape divided into 8 equal parts. The rows use different outer shapes. The bottom row shows a hexagon divided into 2 parts and a hexagon divided into 4 parts. What completes the bottom row?
- A hexagon divided into 6 parts
- An octagon divided into 8 parts
- A hexagon divided into 8 parts Correct answer.
- A hexagon divided into 4 parts
Explanation
The columns set the number of equal parts, doubling from 2 to 4 to 8, and the rows set the outer shape. The bottom-right cell therefore shows a hexagon split into 8 equal parts. The doubling rule is consistent in every row.
Question 18Pattern Completion
A grid's top row shows a figure, then the same figure with a horizontal line through it, then the same figure with both a horizontal and a vertical line through it. The middle row shows a different figure, then the same figure with a vertical line, then the same figure with a vertical and a horizontal line. The bottom row shows a third figure, then the same figure with a diagonal line, and then the missing cell. What completes the bottom row?
- The third figure with a diagonal line and a horizontal line
- The third figure with a diagonal line only
- The third figure with a diagonal line and a second diagonal line crossing it Correct answer.
- The third figure with a vertical and a horizontal line
Explanation
Each row adds a second line in the third cell, and the second line crosses the first one through the figure's center. The bottom row's first added line is a diagonal, so the missing cell adds a crossing diagonal. This mirrors how the other rows add a perpendicular second line.
Question 19Pattern Completion
In a pattern-completion grid, each row contains three figures, and the third figure is the first figure with its colors swapped. The top row shows a black-on-white circle, a filler figure, then a white-on-black circle. The middle row shows a black-on-white square, a filler figure, then a white-on-black square. The bottom row shows a black-on-white triangle, a filler figure, and a missing cell. What completes the bottom row?
- A white-on-black square
- A white-on-black triangle Correct answer.
- A black-on-white circle
- A black-on-white triangle
Explanation
The third column inverts the colors of the first column while keeping the same shape. The bottom row's first figure is a black-on-white triangle, so the missing cell is a white-on-black triangle. The middle column is filler and does not affect the rule.
Question 20Pattern Completion
A grid's top row shows a shape with 1 side marked, then the same shape with 2 sides marked, then the same shape with 3 sides marked. The middle row shows a different shape with 2, 3, and 4 sides marked. The bottom row shows a third shape with 3, 4, and a missing count. What is the missing count, and what rule produces it?
- 5, because each column increases by one going down
- 4, because each row increases by one across the columns
- 5, because each row increases by one across the columns Correct answer.
- 6, because the counts double across the columns
Explanation
Within each row the marked-side count rises by one per column, and each row starts one higher than the row above. The bottom row runs 3, 4, so the third cell is 5. The column view agrees, since the third column runs 3, 4, 5.
Question 21Pattern Completion
A 3-by-3 grid has a missing center cell. The top row shows a circle, a square, and a triangle. The middle row shows a triangle, a missing cell, and a circle. The bottom row shows a square, a triangle, and a circle. Each row and each column contains each of the three shapes exactly once. What belongs in the center?
- A square Correct answer.
- A triangle
- A circle with a dot
- A circle
Explanation
This is a Latin-square arrangement: every row and column holds each shape once. The middle row already has a triangle and a circle, so it needs a square. The middle column already has a square and a triangle, which confirms the square in the center.
Question 22Pattern Completion
A grid's first row shows a shape, then the same shape with a small notch cut from its left edge, then the same shape with notches on both left and right edges. The second row shows a different shape, then the same shape with a notch on its top edge, then the same shape with notches on both top and bottom edges. The third row shows a third shape, then the same shape with a notch on its bottom edge, and then the missing cell. What completes the third row?
- The third shape with notches on both left and right edges
- The third shape with notches on both bottom and top edges Correct answer.
- The third shape with a single notch on its bottom edge
- The third shape with three notches
Explanation
In each row the third cell adds a second notch opposite the first one, producing a matching pair. The bottom row's first notch is on the bottom edge, so the missing cell adds a top notch. The result is a shape notched on both bottom and top.
Question 23Pattern Completion
In a grid, the top row shows a figure, then the same figure shaded gray, then the same figure shaded black. The middle row shows a different figure, then the same figure shaded gray, then the same figure shaded black. The bottom row shows a third figure, then the same figure shaded gray, and then the missing cell. Which single rule explains the whole grid?
- Shading is constant within each row, so the missing cell matches the gray figure
- Shading deepens from top to bottom within each column, so the missing cell is the gray version of the third figure
- Shading deepens from left to right within each row, and the third cell is always the black version of that row's figure Correct answer.
- Each row uses a different shading rule, so the missing cell cannot be determined
Explanation
Every row shows the same progression: unshaded, then gray, then black. The missing cell is in the third column of the bottom row, so it holds the black version of the bottom row's figure. This single rule accounts for all nine cells without exceptions.
Question 24Pattern Completion
A grid's rows each contain three figures. In the top row, a figure is followed by its mirror image, then by a figure that is neither the original nor the mirror. In the middle row, a different figure is followed by its mirror image, then by a figure that is neither. The bottom row shows a third figure, then its mirror image, and then a missing cell. What can be concluded about the missing cell?
- It must be the mirror image of the third figure
- It is neither the original nor the mirror image of the third figure, matching the pattern of the other rows Correct answer.
- It must be the original third figure
- It must be a 180-degree rotation of the third figure
Explanation
The stated pattern is that the third cell in every row is neither the original nor its mirror, so the bottom row must follow the same rule. The missing cell therefore cannot be the original or the mirror image. The other rows set the expectation that the third cell departs from both.
Question 25Pattern Completion
In a pattern-completion grid, each row contains the same three shapes in the same order, but the shapes alternate in color: the top row is black, white, black; the middle row is white, black, white; the bottom row is black, white, and a missing cell. What completes the bottom row?
- A white version of the first shape
- A white version of the third shape
- A black version of the second shape
- A black version of the third shape Correct answer.
Explanation
Rows alternate their starting color, so the first and third cells of a row always share the same color. The bottom row begins black, so its third cell is black. The shape order stays fixed, so the third cell holds the third shape.
Question 26Pattern Completion
A 3-by-3 grid has one missing cell at the bottom right. Each row shows a figure, then the same figure with one dot added, then the same figure with two dots added. The bottom row shows a triangle, then a triangle with one dot, then the missing cell. What belongs in the missing cell?
- A triangle with two dots Correct answer.
- A plain triangle
- A triangle with three dots
- A triangle with one dot
Explanation
The rule adds one dot per step across each row, so the third cell of any row holds the figure with two dots. The bottom row's first two cells confirm the figure is a triangle, so the missing cell is a triangle with two dots.
Question 27Pattern Completion
In a grid, the top row shows a square, then a square with a vertical line inside, then a square with a vertical and a horizontal line inside. The middle row shows a circle, a circle with a vertical line, and a circle with two lines. The bottom row shows a diamond, then a diamond with a vertical line, then the missing cell. What completes the bottom row?
- A diamond with two lines Correct answer.
- A diamond with three lines
- A diamond with one line
- A plain diamond
Explanation
Each row adds one internal line per cell, so the third cell always carries two lines. The shape stays the same across a row, so the missing cell is a diamond with two lines.
Question 28Pattern Completion
A grid's rows each contain three figures. In each row, the third figure is the first figure with its shading removed and its outline thickened. The top row shows a shaded circle, a triangle, and a thick-outlined white circle. The middle row shows a shaded square, a circle, and a thick-outlined white square. The bottom row shows a shaded star, a square, and a missing cell. What belongs there?
- A shaded star
- A thick-outlined white star Correct answer.
- A thin-outlined white star
- A thick-outlined shaded star
Explanation
The third cell is derived only from the first cell: shading is removed and the outline is thickened. The middle figure in each row is a distractor that does not affect the result. Applying the rule to a shaded star gives a thick-outlined white star.
Question 29Pattern Completion
A grid has three rows. In the top row the figures have 5, 6, and 7 sides. In the middle row they have 4, 5, and 6 sides. In the bottom row they have 3, 4, and a missing cell. What figure completes the bottom row?
- A figure with 6 sides
- A figure with 5 sides Correct answer.
- A figure with 4 sides
- A figure with 3 sides
Explanation
Within every row the number of sides rises by one from cell to cell, so the third cell has two more sides than the first. The bottom row starts at 3 sides, so the missing cell has 5 sides.
Question 30Pattern Completion
In a 3-by-3 grid, each column follows the same rule: the second figure is the first figure rotated 90 degrees clockwise, and the third figure is the second figure rotated 90 degrees clockwise again. The left column shows an L-shape, then the L rotated once, then the L rotated twice. The middle column shows a flag, then the flag rotated once, then the flag rotated twice. The right column shows a T-shape, then the T rotated once, then a missing cell. What belongs there?
- The T-shape rotated 270 degrees clockwise from upright
- The upright T-shape
- The T-shape rotated 90 degrees clockwise from upright
- The T-shape rotated 180 degrees clockwise from upright Correct answer.
Explanation
Two successive 90-degree clockwise turns total 180 degrees, so the third cell of any column is the first figure turned half a turn. The right column therefore needs the T-shape rotated 180 degrees from its starting orientation.
Question 31Pattern Completion
A pattern-completion grid has three rows. Each row contains the same three shapes in the same order, but each row is shifted one place to the left compared with the row above. The top row reads circle, square, triangle. The middle row reads square, triangle, circle. What does the bottom row read?
- Circle, square, triangle
- Triangle, circle, square Correct answer.
- Square, circle, triangle
- Triangle, square, circle
Explanation
A one-place left shift moves the first shape to the end of the sequence. Shifting square, triangle, circle left once gives triangle, circle, square.
Question 32Pattern Completion
A grid's top row shows a small circle, then a medium circle, then a large circle. The middle row shows a small triangle, a medium triangle, and a large triangle. The bottom row shows a small hexagon and a medium hexagon. The third cell is missing. What belongs there?
- A large hexagon Correct answer.
- A large circle
- A small hexagon
- A medium hexagon
Explanation
Every row keeps the same shape and increases size from small to medium to large. The hexagon row therefore ends with a large hexagon.
Question 33Pattern Completion
A grid's columns each contain three figures. In every column, the third figure is the first figure with its colors reversed. The left column shows a black square, a white circle, and a white square. The middle column shows a black triangle, a white square, and a white triangle. The right column shows a black star, a white diamond, and a missing cell. What belongs there?
- A white star Correct answer.
- A black diamond
- A white diamond
- A black star
Explanation
The third cell depends only on the first cell, whose colors are reversed while the shape is kept. The first cell of the right column is a black star, so the missing cell is a white star.
Question 34Pattern Completion
In a pattern-completion grid, each row's third figure is the first figure reflected across a vertical line. The top row shows an asymmetric flag pointing right, a circle, and the flag pointing left. The middle row shows an asymmetric arrow pointing up-right, a square, and the arrow pointing up-left. The bottom row shows an asymmetric hook opening to the right, a triangle, and a missing cell. What belongs there?
- A mirror image of the triangle
- A hook opening downward
- A hook opening to the right
- A hook opening to the left Correct answer.
Explanation
Reflecting across a vertical line swaps left and right while keeping up and down unchanged. A hook opening to the right therefore becomes a hook opening to the left, and the middle figure plays no role.
Question 35Pattern Completion
A 3-by-3 grid has a missing center cell. The top row shows a circle, a square, and a triangle. The left column shows a circle, a pentagon, and a star. The right column shows a triangle, a hexagon, and a heart. The bottom row shows a star, a diamond, and a heart. What shape belongs in the center cell?
- A triangle
- A circle
- A star
- A diamond Correct answer.
Explanation
In this grid the rule is that each row and each column contains three different shapes, so the center must differ from every shape already in its row and column. The middle row already has a pentagon and a hexagon, and the middle column already has a square and a diamond. The only listed shape absent from both is the diamond, which sits in the bottom row and middle column, so the center is a diamond.
Question 36Pattern Completion
A grid's top row shows a figure, then the same figure turned 90 degrees counterclockwise, then the same figure turned another 90 degrees counterclockwise. The middle row shows a different figure, then that figure turned 90 degrees counterclockwise, then that figure turned another 90 degrees counterclockwise. The bottom row shows an arrow pointing right, then an arrow pointing up, then a missing cell. What belongs there?
- An arrow pointing down
- An arrow pointing left Correct answer.
- An arrow pointing right
- An arrow pointing up
Explanation
Two 90-degree counterclockwise turns total 180 degrees, so the third cell is the first figure turned half a turn. An arrow pointing right becomes an arrow pointing left.
Question 37Pattern Completion
In a grid, the first row shows a figure, then the same figure with a dot at the top, then the same figure with dots at the top and bottom. The second row shows a different figure, then that figure with a dot at the left, then that figure with dots at the left and right. The third row shows a triangle, then a triangle with a dot at the top-left corner, then a missing cell. What belongs there?
- A triangle with dots at all four corners
- A triangle with dots at the top-left and bottom-left corners
- A triangle with dots at the top-left and bottom-right corners Correct answer.
- A triangle with a dot at the top-left corner
Explanation
Each row adds one dot per step, and the second dot is placed opposite the first. Opposite the top-left corner is the bottom-right corner, so the third cell has dots at those two corners.
Question 38Pattern Completion
A grid's rows each contain three figures. The first figure is a shape with its outline drawn in a solid line. The second figure is the same shape with a dashed outline. The third figure is the same shape with a dotted outline. The top row shows a square in solid, dashed, and dotted outlines. The middle row shows a circle in solid, dashed, and dotted outlines. The bottom row shows a pentagon in a solid outline, then a pentagon in a dashed outline. What belongs in the third cell?
- A pentagon with a dotted outline Correct answer.
- A pentagon with a solid outline
- A pentagon with a dashed outline
- A pentagon with no outline
Explanation
Each row follows the fixed outline sequence: solid, then dashed, then dotted. The shape stays the same across the row, so the third cell is a pentagon with a dotted outline.
Question 39Pattern Completion
In a pattern-completion grid, each row's third figure is the first figure with its parts counted differently: the number of parts in the third figure equals twice the number in the first. The top row shows a shape made of 2 parts, a distractor, and a shape made of 4 parts. The middle row shows a shape made of 3 parts, a distractor, and a shape made of 6 parts. The bottom row shows a shape made of 4 parts, a distractor, and a missing cell. How many parts should the missing figure have?
- 6 parts
- 8 parts Correct answer.
- 4 parts
- 12 parts
Explanation
The rule doubles the number of parts from the first cell to the third, as both completed rows show. Doubling 4 parts gives 8 parts.
Question 40Pattern Completion
A grid has three rows. Every row contains the same two shapes, a dot and a dash, in some order, and each row differs from the others. The top row reads dot, dash, dot. The middle row reads dash, dot, dash. What does the bottom row read?
- Dash, dot, dash
- Dot, dot, dash
- Dash, dash, dot
- Dot, dash, dot Correct answer.
Explanation
With only two possible alternating arrangements, the third row must repeat one of them; the grid uses each arrangement once per pair of rows, so the bottom row repeats the top row's dot, dash, dot.
Question 41Pattern Completion
In a grid, the top row shows a circle, then the same circle with a small square attached at the right, then the same circle with squares attached at the right and left. The middle row shows a triangle, then a triangle with a square attached at the top, then a triangle with squares attached at the top and bottom. The bottom row shows a diamond, then a diamond with a square attached at the bottom, then a missing cell. What belongs there?
- A diamond with squares at the bottom and left
- A diamond with a square at the bottom
- A diamond with squares at the bottom and top Correct answer.
- A diamond with squares at the bottom, top, and left
Explanation
Each row adds one attached square per step, and the second square is placed opposite the first. Opposite the bottom is the top, so the third cell is a diamond with squares at the bottom and top.
Question 42Pattern Completion
A grid's columns each follow the same rule: the third figure is the first figure with exactly one feature changed, and the second figure shows an intermediate step. The left column shows a large black circle, a large white circle, and a small white circle. The middle column shows a large black square, a large white square, and a small white square. The right column shows a large black triangle, a large white triangle, and a missing cell. What belongs there?
- A small black triangle
- A small white triangle Correct answer.
- A large black triangle
- A large white triangle
Explanation
The left and middle columns show that the third figure keeps the shape and reverses the color, then changes the size to small. Applying both changes to a large black triangle gives a small white triangle.
Question 43Pattern Completion
In a pattern-completion grid, each row contains three figures, and the third figure is the first figure with its colors reversed and then rotated 90 degrees clockwise. The top row shows a black-and-white flag pointing up, a distractor, and a rotated, color-reversed flag. The middle row shows a black-and-white pennant pointing up, a distractor, and a rotated, color-reversed pennant. The bottom row shows a black-and-white banner pointing up, a distractor, and a missing cell. What belongs there?
- A banner pointing right with its colors reversed Correct answer.
- A banner pointing right with its colors unchanged
- A banner pointing up with its colors reversed
- A banner pointing left with its colors reversed
Explanation
The rule reverses colors and then turns the figure 90 degrees clockwise; an upward-pointing figure therefore ends pointing right. The completed rows confirm this, so the banner points right with reversed colors.
Question 44Pattern Completion
A grid's top row shows a figure, then the same figure with a small notch cut from its left edge, then the same figure with notches cut from its left and right edges. The middle row shows a different figure, then that figure with a notch on the left, then that figure with notches on the left and right. The bottom row shows a star, then a star with a notch on the left, then a missing cell. What belongs there?
- A star with no notches
- A star with a notch on the left
- A star with notches on the left and right Correct answer.
- A star with notches on the left and top
Explanation
Each row adds one notch per step, and the second notch is cut from the edge opposite the first. Opposite the left edge is the right edge, so the third cell is a star with notches on the left and right.
Question 45Pattern Completion
A grid has three rows and three columns. Each row contains the same three shapes, but the rows are shifted one place to the right compared with the row above. The top row reads star, heart, moon. What does the bottom row read?
- Heart, moon, star
- Star, heart, moon
- Moon, heart, star
- Moon, star, heart Correct answer.
Explanation
A one-place right shift moves the last shape to the front, so the middle row reads moon, star, heart. Shifting right again makes the bottom row moon, star, heart become star, heart, moon shifted right, which is moon, star, heart shifted twice from the top, giving moon, star, heart moved to star, heart, moon and then to moon, star, heart; the bottom row is therefore moon, star, heart.
Question 46Pattern Completion
In a grid, each column contains three figures. The first figure is a shape with its outline only. The second figure is the same shape filled with a light gray. The third figure is the same shape filled with black. The left column shows an outline square, a light gray square, and a black square. The middle column shows an outline circle, a light gray circle, and a black circle. The right column shows an outline triangle, a light gray triangle, and a missing cell. What belongs there?
- A black triangle Correct answer.
- A black circle
- A light gray triangle
- An outline triangle
Explanation
Each column darkens the fill in two steps, from outline to light gray to black, keeping the shape the same. The right column therefore ends with a black triangle.
Question 47Pattern Completion
A pattern-completion grid has three rows. In each row, the third figure is the first figure with its number of sides increased by 2 and its color reversed. The top row shows a black triangle, a distractor, and a white pentagon. The middle row shows a black square, a distractor, and a white hexagon. The bottom row shows a black pentagon, a distractor, and a missing cell. What belongs there?
- A black heptagon
- A white hexagon
- A white pentagon
- A white heptagon Correct answer.
Explanation
A pentagon has 5 sides; adding 2 gives 7 sides, and reversing black gives white. The completed rows confirm both operations, so the missing figure is a white heptagon.
Question 48Pattern Completion
In a grid, the top row shows a figure, then the same figure with a dot in its top half, then the same figure with dots in its top and bottom halves. The middle row shows a different figure, then that figure with a dot in its left half, then that figure with dots in its left and right halves. The bottom row shows a circle, then a circle with a dot in its top half, then a missing cell. What belongs there?
- A circle with dots in its top and bottom halves Correct answer.
- A circle with a dot in its top half
- A circle with no dots
- A circle with dots in its top and left halves
Explanation
Each row adds one dot per step, and the second dot is placed in the half opposite the first. Opposite the top half is the bottom half, so the third cell has dots in its top and bottom halves.
Question 49Pattern Completion
A grid's rows each contain three figures. In every row, the second figure is the first figure turned 90 degrees clockwise, and the third figure is the second figure turned 90 degrees clockwise again. The top row shows an L-shape, the L turned once, and the L turned twice. The middle row shows a flag, the flag turned once, and the flag turned twice. The bottom row shows a T-shape, the T turned once, and a missing cell. The T-shape is symmetric about its vertical axis. What belongs there?
- The T-shape rotated 90 degrees from upright
- The T-shape rotated 270 degrees from upright
- The upright T-shape
- The T-shape rotated 180 degrees from upright Correct answer.
Explanation
Two 90-degree clockwise turns total 180 degrees, so the third cell of any column or row is the first figure turned half a turn. Because the T is symmetric about its vertical axis, the half turn flips it upside down while keeping its crossbar horizontal.
Question 50Pattern Completion
In a pattern-completion grid, the top row shows a shape, then the same shape with one small square added to its outline, then the same shape with two small squares added. The middle row shows a different shape, then the same shape with one small triangle added, then the same shape with two small triangles added. The bottom row shows a third shape, then the same shape with one small circle added. Following the same rule, what belongs in the bottom row's empty third cell?
- The third shape with one small circle added
- The third shape with two small circles added Correct answer.
- The third shape with three small circles added
- The third shape unchanged, with no small circle added
Explanation
In each row the added detail grows by one identical small shape from cell to cell: one, then two. The bottom row already shows one small circle added, so the missing cell must show the same base shape with two small circles added. The added shapes stay the same kind within a row, so triangles or squares do not belong here.