Challenge students with harder CogAT-style Figure Matrix questions. These original non-verbal reasoning problems often combine more than one visual rule, such as rotation plus shading, reflection plus movement, or changes in visual details.
Hard Figure Matrix Practice
These questions are best for students who are ready for more careful visual reasoning. Some problems may require tracking two changes at the same time, so students should slow down and check every answer choice.
Hard CogAT Figure Matrix Practice Questions
Select an answer for each question, then check your work to see the explanation.
Question 1 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Attribute Transformation
Question 2 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position left and adds one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Visual Quantity Change
Question 3 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and rotates the shape 90° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Mental Rotation
Question 4 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule rotates the shape 90° counterclockwise and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Mental Rotation And Attribute Transformation
Question 5 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and rotates the shape 90° counterclockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Mental Rotation
Question 6 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and moves the shape one position right. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Spatial Position Change
Question 7 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule rotates the shape 90° clockwise and moves the shape one position up. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Mental Rotation And Spatial Position Change
Question 8 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Attribute Transformation
Question 9 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and reflects the shape across a horizontal mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Visual Reflection
Question 10 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and removes one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Visual Quantity Change
Question 11 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position right and removes one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Visual Quantity Change
Question 12 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a horizontal mirror line and moves the shape one position right. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 13 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a horizontal mirror line and removes one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Visual Quantity Change
Question 14 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Attribute Transformation
Question 15 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and reflects the shape across a vertical mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Visual Reflection
Question 16 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and reflects the shape across a horizontal mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Visual Reflection
Question 17 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shape one position up. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 18 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a horizontal mirror line and adds one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Visual Quantity Change
Question 19 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shape one position left. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 20 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shape one position left. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 21 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position up and reflects the shape across a vertical mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Visual Reflection
Question 22 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position down and adds one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Visual Quantity Change
Question 23 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and reflects the shape across a vertical mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Visual Reflection
Question 24 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position left and rotates the shape 90° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Mental Rotation
Question 25 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and rotates the shape 90° counterclockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Mental Rotation
Question 26 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and moves the shape one position right. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 27 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a vertical mirror line and rotates the shape 90° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Mental Rotation
Question 28 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule rotates the shape 90° counterclockwise and reflects the shape across a horizontal mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Mental Rotation And Visual Reflection
Question 29 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and adds one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Visual Quantity Change
Question 30 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and rotates the shape 90° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Mental Rotation
Question 31 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule adds one dot and reflects the shape across a horizontal mirror line. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Visual Reflection
Question 32 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and removes one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Visual Quantity Change
Question 33 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and rotates the shape 90° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Mental Rotation
Question 34 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule adds one dot and moves the shape one position up. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Spatial Position Change
Question 35 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Attribute Transformation
Question 36 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shape one position down and adds one dot. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Spatial Position Change And Visual Quantity Change
Question 37 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule removes one dot and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Quantity Change And Attribute Transformation
Question 38 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule reflects the shape across a horizontal mirror line and moves the shape one position down. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Visual Reflection And Spatial Position Change
Question 39 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule rotates the shape 90° counterclockwise and moves the shading one step from outline to gray to solid. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Mental Rotation And Attribute Transformation
Question 40 of 40
Figure Matrix Practice Question
Non-Verbal
Study the relationship between the top two boxes. Which option completes the matrix?
Show explanation
Across the top row, the rule moves the shading one step from outline to gray to solid and rotates the shape 180° clockwise. Applying the same rule to the lower-left panel gives the correct answer.
Skill tested: Attribute Transformation And Mental Rotation
Next Steps
After finishing these hard questions, review the main Figure Matrix Practice overview or try the full Free CogAT Practice Test.