7.1 Sequence & Next-Item Patterns

Why abstract sequences matter on the JOA

The Job Opportunities Assessment (JOA) samples abstract reasoning alongside numerical and verbal items inside a single 51-question, 20-minute assessment (ADF-RECREF132, revised 27 June 2025). Official familiarisation material includes pattern sequences and related figure series—dot patterns, shape strips, and “what comes next” progressions. These items measure natural pattern recognition under time, not whether you can name polygons from a school syllabus or complete a retired two-test mathematics paper.

A sequence (or series) item typically shows three to five figures in order and asks for the next figure, a missing middle figure, or which option continues the same rule. Your job is to discover a rule of change that is true for every step already given, then apply that rule once more.

Candidates lose marks in two opposite ways: staring until a poetic story appears, or grabbing the first option that “kind of continues the vibe.” The JOA rewards a middle path—fast, testable rules.

What “next item” is really testing

Under the clock, every strong sequence answer answers this question:

From figure n to figure n+1, which properties change, by how much, and in what direction—and does that same change hold for every consecutive pair?

If you cannot state the change in one short sentence, you do not yet have a rule.

Common progression families (mental menu)

Section 7.3 deepens multi-attribute layering. Here, master single-track and simple dual-track progressions so hybrids do not feel like magic.

The five-step method for every sequence strip

Use the same lightweight process so you do not invent a new strategy mid-test.

1. Scan the whole strip once without committing to an answer.
2. Name the elements in plain language (shapes, dots, arrows, lines).
3. List what differs between consecutive figures—prefer one clear dimension first.
4. Verify that candidate rule on every step, not only the first pair.
5. Predict the next state, then match options; if two rules still compete past ~30–35 seconds, flag and move.

Description habit (critical because there are no pictures here—and limited time on screen)

Train yourself to narrate figures the way you would to a teammate:

• “Frame 1: empty square with one black dot in the top-left corner.”
• “Frame 2: same square; black dot now in the top-right corner.”
• “Frame 3: black dot in the bottom-right corner.”

Rule emerges: dot moves one corner clockwise each step. Next: bottom-left corner. That narration is the skill the JOA is sampling.

Worked visual-description examples (original)

Example A — pure count progression

Strip (described):

• Figure 1: one black circle centred in a frame
• Figure 2: two black circles side by side
• Figure 3: three black circles in a row
• Figure 4: ?

Rule: number of identical black circles increases by one each step; arrangement stays a horizontal row.
Next: four black circles in a row.
Typical distractors: four circles but one white (shading invented); five circles (skipped a step); three circles again (no change).

Lesson: when only count changes, do not “improve” the item by adding orientation or fill rules the strip never used.

Example B — position on a fixed path

Strip: a square frame with a single black triangle that can sit at any of the four mid-edge positions (top, right, bottom, left).

• Figure 1: triangle at top edge, pointing outward
• Figure 2: triangle at right edge
• Figure 3: triangle at bottom edge
• Figure 4: ?

Rule: the triangle moves one edge clockwise each step.
Next: triangle at the left edge.
Trap: choosing a triangle still on the bottom but flipped—orientation may be constant here; only position changed. Do not rotate the shape unless the strip shows rotation.

Example C — sides / shape-type ladder

Strip:

• Figure 1: equilateral triangle (3 sides), unshaded
• Figure 2: square (4 sides), unshaded
• Figure 3: regular pentagon (5 sides), unshaded
• Figure 4: ?

Rule: polygon gains one side each step; fill stays empty.
Next: regular hexagon (6 sides), unshaded.
Trap: a hexagon that is shaded, or a star shape that “looks more complex” but is not the next regular n-gon.

Example D — shading schedule

Strip: same large circle each time; internal fill changes.

• Figure 1: fully white (empty)
• Figure 2: left half black
• Figure 3: fully black
• Figure 4: ?

Possible rules compete. One clean continuation: empty → half → full → empty again (cycle of three). Another: empty → left half → full → right half if a four-step fill cycle is established.

How to decide: you need a fourth given figure or a clearer mid-step. If only three figures exist and options include both “empty” and “right half,” re-check whether figure 2 is uniquely “left half” or simply “half” without side identity. Prefer the rule that uses only features the strip actually distinguishes. If options and figures still support two equally clean cycles, treat it as sticky—flag if time is burning.

Example E — simple dual feature (bridge to 7.3)

Strip:

• Figure 1: one small black square in the top-left cell of a 2×2 grid
• Figure 2: two small black squares—top-left and top-right
• Figure 3: three small black squares—top-left, top-right, bottom-right
• Figure 4: ?

Rule: count of filled cells increases by one; new cells fill in clockwise order starting top-left.
Next: all four cells filled.
Here count and position interact, but both follow one scheduled path—still a sequence rule, not random decoration.

Example F — alternating feature (braided progression)

Strip:

• Figure 1: white triangle pointing up
• Figure 2: white triangle pointing up, with a dot above it
• Figure 3: white triangle pointing down
• Figure 4: white triangle pointing down, with a dot above it
• Figure 5: ?

Rule: orientation flips every two frames (up, up, down, down, …) while a dot appears on even positions only.
Next (figure 5, odd): triangle pointing up, no dot.

This is the abstract analogue of an alternating number series: two interleaved schedules. Name both tracks before picking.

Verification discipline (where most errors die)

Never accept a rule that only explains frames 1→2. Run:

Rule R for change each step:
  1→2 satisfies R? Y/N
  2→3 satisfies R? Y/N
  3→4 satisfies R? Y/N
All Y → apply R to get next
Any N → refine or replace R

Partial-pattern distractors

Option writers (and good practice sets) love options that:

• Apply the rule one step too far
• Apply only half of a dual rule (count correct, position wrong)
• Reverse direction (anti-clockwise when the strip is clockwise)
• Change a stable feature that never varied (suddenly shading a shape that stayed white)

If your predicted figure matches an option that alters a previously constant attribute, re-check—you may have overfitted.

Missing-middle vs next-item

Some stems blank a middle frame rather than the end.

Process change: still discover the rule from the complete steps you have; then interpolate the blank rather than extrapolate only forward. Position index matters: if figures are 1, 2, ?, 4, the change 2→? and ?→4 must both obey the same step size as 1→2 and (if given) other known gaps.

Mini illustration: counts 2, 4, ?, 8 with a double-each-time rule → blank is 6 only if the rule is +2 arithmetic; if the rule is ×2 then blank is 4 already used—so re-read. Actually: 2, 4, ?, 8 with ×2 gives 2, 4, 8, 16—so a blank before final 8 cannot be ×2 across four slots unless the last is not 8. Prefer arithmetic +2: 2, 4, 6, 8. The stem’s complete terms decide the family; do not force geometric growth because “doubling feels abstract.”

Timing model inside the 20-minute JOA

Rough average budget across 51 items is about 23–24 seconds. Abstract sequences:

Remember the official goal: complete as many questions as possible; finishing all 51 is rare. A flagged abstract strip is better than a two-minute standoff.

Realistic scenario

Alex sees five complex figures and invents a story involving diagonal reflections, prime-number side counts, and “the shape that feels heaviest.” Thirty seconds later, nothing verifies. Better: list one changing attribute at a time—count of lines, then rotation, then fill. If only rotation is consistent, stop adding epicycles. The JOA marks the option that fits the simplest fully verified rule, not the most creative essay.

Practice that transfers to test day

Effective drills:

• 8–10 next-item strips in 4–5 minutes, then review misses by writing a one-line rule
• For every miss, note whether the error was first-pair bias, direction reverse, ignored second attribute, or changed a constant
• Alternate abstract sets with short numerical or verbal bursts so you practise family switching as on the real mixed paper
• Narrate figures out loud during untimed review until description is automatic

Ineffective drills:

• Studying advanced school geometry proofs as if they were JOA content
• Memorising fixed “famous sequences” without stating rules
• Using retired General Ability + Mathematical Ability formats that smuggle algebra/trigonometry curricula into “aptitude” prep

Error log: five ways candidates lose sequence marks

Bridge to rotation and multi-attribute sections

Sequence skill is the foundation of this chapter. Rotation and reflection (7.2) are progression rules where the main dimension is orientation under 90°/180° turns and mirrors. Multi-attribute patterns (7.3) stack count, position, shading, and size so you must name each change track. Before you move on, lock this habit: describe → name the change → verify on every step → predict or flag. That habit is abstract sequencing under JOA pressure.