Shape Sequences ACET Reviewer: Lesson and Practice

TEACHER ABI ACET ABSTRACT REASONING

Shape Sequences

Recognize repeating cycles, changes in polygon sides, paired substitutions, and interlocking shape chains.

Original SVG figures27 questionsProgressive difficultyACET preparation

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Shape Sequences

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A shape sequence has an order, not merely a collection

Name each shape before searching for a rule. Then test whether the sequence repeats, gains or loses sides, works in pairs, or contains two alternating chains.

Cycle: circle → square → triangle → circle

Side count: triangle → square → pentagon → hexagon

Repeated pairs: circle, circle, square, square

Two chains: inspect positions 1-3-5 separately from 2-4-6

DO IT FAST

Use NAME → COUNT → SPLIT → TEST

1. NAME: Translate the figures into a short list of shape names.
2. COUNT: For polygons, write the number of sides: 3, 4, 5, 6.
3. SPLIT: If one rule fails, compare odd positions and even positions separately.
4. TEST: Make sure the rule explains every frame, not only the final pair.

Do not treat a diamond as a new four-sided family automatically. It may simply be a rotated square; rotation is addressed in the next reviewer.

GUIDED TRY

Translate the figures into side counts

1. Triangle has three sides.
2. Square has four sides.
3. Pentagon has five sides.
4. The rule adds one side each time.

Hexagon. It continues 3, 4, 5, 6 sides.

ACET-LEVEL WALKTHROUGH

When the full sequence looks irregular, split it into two chains

Positions	Observed shapes	Rule
1, 3, 5	Circle, square, pentagon	First chain changes independently
2, 4, 6	Triangle, diamond, ?	3 sides, 4 sides, then 5 sides

Distractor: continue the odd-position chain instead of the required even chain.

Distractor: repeat the diamond because only the final pair was inspected.

Correct next figure: pentagon—the third member of the even-position side-count chain.

Exam habit: Number the frames before deciding which chain supplies the missing figure.

FIVE-FORM SKILL CHECK

Find your starting level

CHOOSE YOUR PRACTICE

Build the skill in stages

Foundations

Recognize cycles and side counts.

Core

Follow cycles and two-part changes.

ACET Transfer

Separate interlocking visual rules.

FRESH MASTERY CHECK

Can you solve without the scaffolding?

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

QUICK ANSWERS

Shape Sequences FAQ

Should a circle count as a zero-sided polygon?

Not unless the item clearly establishes that rule. Treat a circle as its own shape in ordinary cycles.

When should I split odd and even positions?

Use two chains when consecutive frames seem inconsistent but positions 1-3-5 and 2-4-6 each form a simple pattern.

Can a sequence repeat shapes in pairs?

Yes. Look for groupings such as A, A, B, B, C, C before assuming each frame changes.

What if two rules fit the last frames?

Test both rules against the entire sequence. The intended rule should explain every transition economically.

Does orientation matter here?

Only when it is necessary to distinguish shapes. Rotation and reflection receive focused treatment in the next reviewer.

NEED A STUDY PLAN?

Use your diagnostic result to decide what comes next

If Abstract Reasoning was one of your lowest sections, master the visual rules individually before attempting mixed timed figures.

Ask Teacher Abi for guidance

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