Matrices and Missing Figures ACET Reviewer: Lesson and Practice

TEACHER ABI ACET ABSTRACT REASONING

Matrices and Missing Figures

Read across rows and down columns, identify how figures combine or change, and solve the missing cell without guessing from appearance.

Nine matrix-rule families27 original questionsProgressive difficultyACET preparation

LessonMethodGuided TrySkill CheckPracticeMastery

MY STATUS

Matrices and Missing Figures

Not yet started on this browser.

NOT STARTED

START HERE

A matrix is a visual equation

Each row or column follows a rule. The missing cell must complete every applicable rule at once.

Combine: figures may be added, overlaid, removed, or cancelled.

Transform: a shape may rotate, reflect, move, or change fill.

Distribute: each symbol, position, or shading may appear once per row and column.

Calculate: counts may add, subtract, alternate, or preserve a total.

DO IT FAST

Use ROW → COLUMN → OPERATOR → VERIFY

1. ROW: compare the first complete row and describe what cell 3 does.
2. COLUMN: test the same idea down a complete column.
3. OPERATOR: decide whether features are added, cancelled, removed, moved, rotated, or distributed.
4. VERIFY: check the candidate against both the incomplete row and incomplete column.

ACET trap: a distractor often completes the last row but violates the last column.

GUIDED TRY

Begin with feature union

1. In each row, cell 3 contains all line features from cells 1 and 2.
2. The bottom row already has a vertical line and a horizontal line.
3. Combine them without changing their positions.
4. The answer is the cross containing both lines.

Rule: cell 3 is the union of cells 1 and 2. The same relation also holds down the columns.

ACET-LEVEL WALKTHROUGH

Hard matrices use two linked operations

A strong item may use cancellation for line features while shading follows a separate cycle. Track each feature family independently, then recombine them.

Trace lines separately: vertical, horizontal, and diagonal strokes can obey XOR or subtraction.

Trace markers separately: dots can move, alternate fill, or preserve a total.

Near match: one option may have the correct strokes but the wrong marker position.

Final check: the answer must satisfy the row rule and column rule simultaneously.

FIVE-FORM SKILL CHECK

Find your starting level

CHOOSE YOUR PRACTICE

Build the skill in stages

Foundations

Read one clear row-and-column rule.

Core

Handle cancellation, movement, and distribution.

ACET Transfer

Coordinate two features and reject near matches.

FRESH MASTERY CHECK

Can you solve without the scaffolding?

Score 5/5 to verify this competency. If not, a fresh independent set loads.

QUICK ANSWERS

Matrices and Missing Figures FAQ

Should I always read from left to right?

No. Test rows first, then columns. Some questions work in both directions; others reveal the rule more clearly down columns.

What does cancellation mean?

When the same feature appears in both input cells, it disappears in the result. Features appearing only once remain.

How do I handle a complicated figure?

Separate it into feature channels—shape, line direction, position, count, and shading—then track each channel independently.

Why do two options seem correct?

One probably satisfies only a row or only one feature. Verify the column and every visual feature.

What should I do under time pressure?

Use the two simplest complete lines to identify the operator, eliminate options that violate it, and verify the survivor.

NEED A STUDY PLAN?

Use your diagnostic result to decide what comes next

If Abstract Reasoning was among your lowest sections, practise one matrix operator at a time before mixing them under time pressure.

Ask Teacher Abi for guidance

REVIEW DASHBOARD

Continue your ACET preparation

Previous competency: Figure Classification and Group Membership

Abstract Reasoning Reviewers ACET Student Hub Diagnostic