Diagrammatic reasoning test: operators, examples and a free practice game
A diagrammatic reasoning test shows symbols passing through rule-boxes ("operators") that change them: reversing the order, swapping two items, removing one, and so on. You work out what each operator does from examples, then predict what comes out of a new input. The rules come from a short list, and the key habit is testing every rule against every example before you answer. Try the free sample question below. For related tests, see logical reasoning.
- Symbols pass through operators; each applies one rule.
- Common rules: reorder, swap, remove, add, change.
- Infer each rule from examples, then check it against all of them.
- Most common for technical, IT and engineering roles.
- Closely related to inductive and abstract reasoning.
Free sample question
Find the rule
Two examples show what the box does. Work out its rule, then apply it to the new input.
One question in the real format, with the worked solution · no signup
Quick summary
- Diagrammatic tests show inputs, operators and outputs.
- Each operator applies one rule, such as reversing or removing.
- Work out each operator from the examples, one at a time.
- Check every rule against every example before answering.
- Practice on inductive and abstract reasoning transfers well.
The five common rule types
- Reorder: reverse the sequence, or move the first item to the end.
- Swap: exchange two positions (first and last, or the first two).
- Remove: delete a symbol (often the first, last or a particular shape).
- Add or duplicate: repeat a symbol or add a new one.
- Change: alter a property, such as colour, size or shading, of some symbols.
Both examples swap the first and last symbols and leave the middle alone. Reversing would also turn ▲ ● ■ ◆ into ◆ ■ ● ▲, but the example shows ◆ ● ■ ▲, so it isn't a reversal.
Answer: ■ ◆ ▲ ●.
How to work through a diagram
- Find the simplest path: an input that passes through only one operator.
- Name that operator's rule and confirm it on every other path it appears in.
- Solve the remaining operators one at a time, using the ones you know.
- Apply the rules in order to the question input.
Diagrammatic reasoning is closely related to inductive and abstract reasoning. Our abstract reasoning guide and the SHL inductive reasoning test cover those formats.
Train rule-finding on forge
Timed SHL and Aon-style inductive reasoning tests (similar to diagrammatic, not identical), with the rule explained for every answer.
Start inductive practiceRelated guides
Source notes
The rule types reflect the common formats used by test publishers and described by candidates. The game is forge's own and generates its rules automatically. forge's timed practice for this skill is inductive and abstract reasoning, labelled here as similar rather than identical.
Frequently asked questions
What is a diagrammatic reasoning test?
A test in which symbols or shapes pass through 'operators' (boxes or arrows that each apply a rule, such as reversing the order or changing a colour). You work out what each operator does from examples, then predict an output or identify the missing operator.
How is diagrammatic reasoning different from inductive reasoning?
Both ask you to infer rules. Inductive tests usually show a sequence or grid and ask what comes next. Diagrammatic tests show a process: inputs go through rule-boxes to outputs, and you work out what each box does.
Which employers use diagrammatic reasoning tests?
They are most common for technical, IT and engineering roles, where following processes and logic flows matters. Some graduate schemes include them as part of a wider battery.
How do I get better at diagrammatic reasoning?
Learn the common operator types (reorder, swap, remove, add, change), always test a proposed rule against every example, and practise working out one operator at a time. Most people improve quickly with a few hours of practice.
Does forge have a diagrammatic reasoning test?
This page has a free diagrammatic rule-finding game. forge's timed practice for the same skill is in its inductive and abstract reasoning tests (SHL and Aon-style), which are closely related, not identical.
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