ADF JOA abstract reasoning: pattern rules and sequences

Count before interpreting

List the number of sides, shapes, dots or lines in each figure. A progression may be numerical even when the question contains no digits. Check whether the count changes consistently or alternates.

Track position and transformation

Follow a distinctive feature through the sequence. Does it rotate, reflect or move between locations? Distinguish a rotated whole figure from a feature moving inside a stationary outline.

Check for a second rule

Once a possible rule is found, test fill, size and orientation as well. An option may match the rotation but fail the shading change. Confirming all relevant properties reduces premature choices.

Practise with a review checklist

For each reviewed question, name the rule in a sentence. If you cannot explain it, spend more time on the method before another timed attempt. Keep the checklist short enough to remember during practice.

Worked sequence: count and position together

Imagine an original sequence of three panels. The first contains one dot in the upper-left corner, the second two dots in the upper-right, and the third three dots in the lower-right. One possible rule adds a dot and moves the group clockwise around the corners. Under that rule, the next panel has four dots in the lower-left.

Check both features against an answer option. Four dots in the upper-left satisfies the count but not the position. Three dots in the lower-left satisfies the position but not the count. This example shows why identifying only one feature can leave several plausible answers. It is a teaching exercise created for this guide, not an official JOA item.

Odd-one-out questions: define the shared property

For an original example, consider a circle, square, triangle and cube. If the intended comparison is two-dimensional versus three-dimensional figures, the cube differs. But an odd-one-out problem needs enough information to establish the relevant property; simply noticing something unique is not always sufficient because every option may have a unique feature.

In practice, explain which property the other options share and why the remaining option does not. Then check whether a competing explanation is equally consistent with the information. This keeps your reasoning tied to a rule rather than an impression that one image “looks different”. When reviewing a supplied solution, focus on the shared property it identifies.

Avoid inventing exceptions to a rule

Suppose you think a symbol rotates by the same amount each step. Check every transition, including the one that initially looks inconvenient. If the rule fits only two of three transitions, reconsider it. A second changing feature may explain the pattern, but it should be supported by the displayed panels.

Write down the rule in a compact form such as “position changes; fill alternates”. If your explanation becomes a long list of unrelated exceptions, return to basic observations: count, position, orientation and shading. The aim is a rule that accounts for the evidence, not an elaborate story that makes your first guess appear correct.

Use an abstract reasoning error log

Record the feature you missed, the rule you tried and the reason it failed. Over several practice sessions, this can show whether you repeatedly overlook shading, confuse rotation with reflection or stop checking too early. Choose an exercise addressing that specific issue rather than repeating a full test immediately.

Also note visibility problems. A small display, low image clarity or an overlooked mark can affect your interpretation of a practice diagram. Enlarge images for review when needed. Your error log should distinguish reading the image from reasoning about it, because those are different parts of the task.