Inductive Reasoning Patterns: The 7 Rules That Appear Every Time
SHL inductive reasoning tests repeat the same underlying rules across every question set. Master these 7 pattern rules and you will recognise the structure of almost any sequence before you even read the answer options.
What Is Inductive Reasoning Testing?
Inductive reasoning — also called abstract reasoning or diagrammatic reasoning — tests your ability to identify patterns in sequences of shapes and figures, and to apply the identified rule to predict what comes next. There is no verbal or numerical content: the test is entirely visual and abstract.
This makes it one of the purest measures of fluid intelligence available — the ability to identify rules and apply logical thinking in contexts where you have no prior knowledge to draw on. Employers use it because it predicts problem-solving ability in novel situations, which is highly relevant across engineering, technology, finance, and consulting roles.
| SHL Test Name | Format | Time Limit | Questions |
|---|---|---|---|
| Inductive Reasoning (IR) | 5 figures in sequence → select the next figure from 5 options | 25 min | 24 questions |
| Verify Inductive Reasoning | Matrix format — identify missing cell in a 3×3 grid | 18 min | 18 questions |
| Figures (GENERAL) | Sequence completion or series identification | Varies | Varies |
SHL inductive reasoning test items are not randomly generated — they are constructed by applying one or more of a small set of standard transformation rules to geometric shapes. Once you can instantly identify each of these rules when you see them, you will spend less time working out what is happening and more time confirming your hypothesis and selecting the correct answer. This recognition skill is the foundation of speed improvement on inductive reasoning tests.
Rotation
Rotation is the most common transformation rule in SHL inductive reasoning tests. In a rotation sequence, a shape turns clockwise or anticlockwise by a fixed number of degrees with each step in the sequence.
How to recognise it
- The shape remains the same — only its orientation changes.
- The rotation increment is consistent between each step (e.g., always 45° clockwise).
- Common increments: 45°, 90°, 135°, and 180°.
- A 180° rotation may look like a vertical or horizontal reflection — check whether the shape is symmetrical to distinguish between the two rules.
When you identify a rotation sequence, pick a distinctive feature of the shape — an open end, a notch, a pointed vertex — and track where it moves with each step. This is far more reliable than trying to estimate the degree of rotation visually, particularly when the increment is 45° and adjacent steps look similar.
Rotation + other rules
Rotation frequently appears in combination with other rules. A common combination is rotation + shading change, where the shape rotates 90° clockwise each step AND its fill changes from solid to striped to outlined. Always check whether a secondary rule applies after identifying the rotation rule.
Reflection
Reflection (also called mirroring) involves the shape being flipped across an axis — horizontal, vertical, or diagonal. Unlike rotation (which preserves the original orientation of all features), reflection reverses the handedness of the shape: a clockwise spiral becomes anticlockwise, a left-pointing arrow becomes right-pointing.
How to distinguish reflection from rotation
The key test: does the shape's "handedness" change? If you have an arrow pointing left in step 1 and it points right in step 2, it has been reflected (not rotated) — a 180° rotation would also reverse the left-right orientation, but the top-bottom orientation would reverse too. If only one axis of orientation changes, it is a reflection.
SHL test designers use shapes that are specifically asymmetric to make reflection detectable. If a shape looks the same after reflection (because it is symmetric about that axis), the question cannot usefully test reflection recognition — so the shapes used are always asymmetric. This is useful: if a shape has no line of symmetry, reflection will produce a clearly different orientation that you can train yourself to recognise quickly.
Diagonal reflection
Reflection across a diagonal axis (45° or 135°) is the hardest form to spot quickly. The shape is flipped across a diagonal line, which effectively swaps horizontal and vertical components. If a vertical arrow becomes a horizontal arrow, it has been reflected diagonally. Practise this specific transformation as it is reliably present at the harder end of SHL inductive reasoning difficulty.
Size Change
Size change sequences involve a shape growing or shrinking with each step. The change may be continuous (growing across all steps) or oscillating (large → small → large → small). The size progression typically follows a simple pattern: doubles, halves, or changes by a fixed proportion.
Common size change patterns
- Linear progression: Small → medium → large → extra large. The increments are visually approximately equal.
- Two-step oscillation: Large → small → large → small. Alternate steps alternate between two sizes.
- Three-step cycle: Large → medium → small → large → medium → small. The sequence repeats on a three-step cycle.
In harder inductive reasoning questions, a size change is sometimes combined with another rule (rotation, reflection, or shading) in a way that makes the primary rule harder to see. A shape that is simultaneously rotating and growing may be mistaken for a completely different shape at each step. Always check whether any attribute change could be explained by a combination of rules rather than a single complex rule.
Shading / Fill
Shading or fill sequences change the interior appearance of shapes across steps. The fill attribute typically cycles through a defined sequence: solid black → dark grey → light grey → outline only → striped → dotted, or variations thereof.
Common shading sequences
- Solid to outline: Solid (filled) → striped → outline (empty). Three-step cycle.
- Alternating: Solid → outline → solid → outline. Two-step alternation.
- Multiple shapes, different fill: In a set of three shapes per frame, the fills are permuted — one solid, one striped, one outline, and this pattern shifts position each step.
When a question involves multiple shapes per frame, track the shading rule for each shape separately. It is very common for each of the three shapes in a frame to follow its own independent shading progression — and for those progressions to be at different stages within a shared cycle. Trying to track all shading changes simultaneously is cognitively overloading; track each shape's fill sequence independently.
Number of Elements
Number rules involve the count of objects, shapes, or elements within each frame changing across the sequence. The count change is typically a fixed step: increasing by 1 each step (1 → 2 → 3 → 4), decreasing by 2 (6 → 4 → 2), or following a less obvious arithmetic progression.
Counting correctly
When a question uses a number rule, the critical skill is accurate counting — particularly when:
- Elements overlap, making it hard to count individual items.
- Elements vary in size (count objects, not area or visual prominence).
- Some elements are shapes and some are lines — count all elements in the specified category.
A sequence might show 1 dot in the top-left corner, then 2 dots (top-left and top-right), then 3 dots (top-left, top-right, and bottom-left). This combines a number progression (+1 per step) with a position rule (dots are added in a clockwise sequence around a 3×3 grid). Identifying both components simultaneously is what differentiates easier questions from harder ones on the SHL inductive test.
Position and Progression
Position rules govern where an element is located within its frame. An element might move from cell to cell across a 3×3 grid, step clockwise around the perimeter of the frame, or shift in a fixed direction (one column right per step). Position rules are among the hardest to identify because they require tracking an element across frames rather than comparing the frames as static images.
Common position patterns
- Grid movement: A dot or shape moves through cells of a 3×3 grid in a defined path — left to right, top to bottom, or diagonally.
- Perimeter movement: An element moves clockwise or anticlockwise around the edge of the frame, advancing 1 or 2 positions per step.
- Two elements crossing: Two shapes start at opposite corners and move toward each other, crossing in the middle steps. This creates frames that look complex mid-sequence but follow a clean positional rule.
Progression: multiple rules simultaneously
Progression describes the hardest category of inductive reasoning question — where two or more rules apply simultaneously to different attributes of the same sequence. For example: the outer shape rotates 90° clockwise per step (Rule 1: Rotation) AND the inner shape's fill alternates between solid and outline (Rule 4: Shading) AND the number of sides on the inner shape increases by 1 per step (Rule 5: Number).
If you identify one clear rule and the answer is still not obvious, there is almost certainly a second rule operating on a different attribute. Systematically check each attribute — shape, orientation, fill, size, number, position — before concluding you have identified the full rule set. Missing a secondary rule is the most common source of incorrect answers at the harder end of the difficulty range.
Approaching Unknown Patterns
Even with all 7 rules internalised, you will occasionally encounter a question where the rule is not immediately apparent. The following systematic approach prevents you from wasting time and ensures you make the best possible answer even when stuck.
The 7-attribute check
When a pattern is not immediately clear, work through each attribute systematically. Check these seven attributes in order, comparing their values across each step of the sequence:
| Attribute | What to Check | Associated Rule |
|---|---|---|
| 1. Shape identity | Does the type of shape change? (circle → square → triangle) | Often none — shape usually stays constant |
| 2. Orientation | Does the shape rotate or flip? | Rotation, Reflection |
| 3. Size | Does the shape get larger or smaller? | Size Change |
| 4. Fill / shading | Does the interior fill change? | Shading |
| 5. Number | Does the count of elements change? | Number |
| 6. Position | Does the element move across the frame? | Position |
| 7. Line / border | Does the border style change? (thick → thin → dashed) | Progression variant |
If you have 30 seconds left and have not identified the rule, use the answer options to eliminate wrong answers. Options that break a pattern you partially understand (e.g., they have the wrong fill, even if you are unsure about the rotation) can be eliminated. Guess from the remaining options. SHL inductive tests have no penalty for wrong answers — an intelligent guess from two remaining options has a 50% chance of being correct, which is far better than the 0% of a blank answer.
Frequently Asked Questions
Practice Inductive Reasoning with SHL-Format Tests
Apply the 7 pattern rules with timed SHL-style inductive reasoning practice — identify rules faster, reduce errors, and build the pattern recognition speed that raises your percentile score.