CCAT Matrices: Row, Column & Pattern-Solving Methods
Matrix questions arrange figures in a grid and ask which option belongs in the missing cell.
The rule may operate:
- across each row;
- down each column;
- in both directions;
- through count changes;
- through movement or rotation;
- through addition, subtraction, or superposition of features.
Criteria officially reports Spatial Reasoning as a CCAT ability area. It does not guarantee one fixed number of matrix questions.
Practice more timed CCAT spatial questions
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Use our CCAT practice comparison and online tests first, or take the free 30-question CCAT practice test. For an external topic guide, review JobTestPrep's CCAT spatial reasoning guide. The JobTestPrep CCAT PrepPack is another independent option.
Scope and Official Context
This page focuses on row-and-column matrix rules. The examples are independent practice and do not reproduce secure Criteria items or establish a fixed live-test matrix allocation.
Criteria’s current candidate guidance confirms 50 questions in 15 minutes and three broad question kinds: verbal, math and logic, and spatial reasoning. Criteria does not publish one permanent narrow subtype allocation for every live event.
Start With the Grid Structure
Before analyzing shapes, identify:
- the number of rows and columns;
- the missing cell;
- whether two complete rows or columns are available;
- which direction provides the strongest evidence.
A 3×3 matrix often gives two completed examples of the same rule.
Row-Cycling Pattern
Example:
| Column 1 | Column 2 | Column 3 | |
|---|---|---|---|
| Row 1 | Circle | Square | Triangle |
| Row 2 | Square | Triangle | Circle |
| Row 3 | Triangle | Circle | ? |
Each row shifts the shapes one position left.
Answer: Square.
The columns confirm the same cycle.
Column-Cycling Pattern
Example:
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | Up | Right | Down |
| R2 | Right | Down | Left |
| R3 | Down | Left | ? |
The directions shift left in each row.
Answer: Up.
Count Addition
Example:
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | 1 dot | 2 dots | 3 dots |
| R2 | 2 dots | 3 dots | 5 dots |
| R3 | 3 dots | 4 dots | ? |
If the third cell equals the sum of the first two:
3 + 4 = 7
Answer: 7 dots.
Check another completed row before accepting addition.
Count Subtraction
Example:
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | 6 | 2 | 4 |
| R2 | 9 | 3 | 6 |
| R3 | 8 | 5 | ? |
The third cell equals the first minus the second:
8 - 5 = 3
Answer: 3 elements.
Superposition
Superposition combines features from two cells.
Example description:
- Cell 1 contains a vertical line.
- Cell 2 contains a horizontal line.
- Cell 3 contains both lines as a plus sign.
The rule is:
Cell 1 + Cell 2 = Cell 3
In a missing row, combine the visible features in the same way.
Cancellation or XOR-Style Combination
Sometimes repeated features disappear while unique features remain.
Example:
- Cell 1 contains a circle and square.
- Cell 2 contains a square and triangle.
- Cell 3 contains a circle and triangle.
The shared square cancels.
Do not label this as an official CCAT rule. It is a useful independent matrix-practice pattern.
Rotation Across Rows
Example:
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | Up arrow | Right arrow | Down arrow |
| R2 | Left arrow | Up arrow | Right arrow |
| R3 | Down arrow | Left arrow | ? |
Each step rotates 90 degrees clockwise.
Answer: Up arrow.
Movement Across Positions
Suppose each cell contains a dot in one corner.
Across each row, the dot moves:
top-left → top-right → bottom-right
If the third row begins bottom-left, then top-left, the missing position may be top-right according to the same movement.
Track position separately from shape or shading.
Shading Cycles
Example:
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | unshaded | striped | shaded |
| R2 | striped | shaded | unshaded |
| R3 | shaded | unshaded | ? |
The fill states cycle.
Answer: striped.
Describe fill states in words so the content does not depend only on color.
Multiple Variables
A matrix may change:
- shape across rows;
- shading down columns;
- orientation diagonally.
Create a mental table for each variable.
Do not search for one elaborate rule when two simple independent rules explain the grid.
Check Rows and Columns
A candidate rule should ideally explain:
- at least two complete rows;
- or at least two complete columns;
- and the missing row or column.
If a row rule works but produces an option that violates every column pattern, reconsider it.
Diagonal Relationships
Check diagonals after rows and columns.
Possible diagonal patterns include:
- the same shape;
- increasing count;
- matching fill;
- constant orientation.
Do not prioritize diagonals merely because they look visually prominent.
Use Answer Choices as Hypotheses
For each remaining option, ask:
- Does it complete the row rule?
- Does it complete the column rule?
- Does it preserve count?
- Does it match orientation?
- Does it match shading?
One broken essential rule is enough to eliminate an option.
Original Accessible Examples
Example 1: Shape Cycle
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | Circle | Triangle | Square |
| R2 | Triangle | Square | Circle |
| R3 | Square | Circle | ? |
Answer: Triangle.
Example 2: Addition
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | 2 | 3 | 5 |
| R2 | 4 | 1 | 5 |
| R3 | 3 | 5 | ? |
Answer: 8.
Example 3: Orientation
| C1 | C2 | C3 | |
|---|---|---|---|
| R1 | Up | Right | Down |
| R2 | Right | Down | Left |
| R3 | Down | Left | ? |
Answer: Up.
Common Matrix Mistakes
- Checking only one row.
- Ignoring columns.
- Combining features when the rule is subtraction.
- Confusing rotation with reflection.
- Ignoring count because the shapes look complex.
- Treating shading as color-only information.
- Finding a rule that explains only one line.
- Overcomplicating a simple cycle.
- Spending too long after the answer choices already allow elimination.
Timed Strategy
- identify the missing row and column;
- inventory shape, count, position, direction, and fill;
- test simple cycles;
- test addition, subtraction, or superposition;
- check rows and columns;
- use answer choices;
- make an educated guess and continue when no stable rule appears.
Use the CCAT spatial guide and CCAT figure-sequences guide for related methods.
Practice before test day
Start with the free CCAT practice test, the CCAT spatial practice set and the complete preparation guide. For a full timed simulation, use the free and premium CCAT practice tests or the CCAT study plan. Structured preparation is also available through CCATPracticeTest.com practice options and the JobTestPrep CCAT PrepPack.
Frequently Asked Questions
Are matrices guaranteed on every CCAT?
Criteria does not publish one fixed subtype count. Matrices remain useful independent Spatial Reasoning preparation.
Should I check rows or columns first?
Start with the direction containing the most complete examples, then verify the other direction.
What is superposition?
It is the combination of features from two cells into another cell.
Can category percentiles tell me how many matrix questions I answered correctly?
No. The official report does not provide a narrow matrix raw-score count for candidates.
Where can I practice more?
Use the CCAT spatial practice set and free and premium CCAT practice tests.
As a secondary independent option, compare JobTestPrep’s Criteria CCAT preparation.
Independent-Site Notice
CCATPracticeTest.com is independent and is not affiliated with Criteria. All matrix examples are original and text-accessible.