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Types of reasoning in the IQ test (with examples)

Updated October 26, 2026 · QI Agora team

A good reasoning test doesn't stick to one question type. On QI Agora, the six areas below are mixed together and get harder as you go. Here's how each one works, with examples.

1. Sequences

You get a series of numbers or letters and need to find the next one. The rule can be simple (add 3 each step) or combine two rules at once.

Example: 2, 5, 11, 23, 47, ?
Each number is the previous one times 2, plus 1. Answer: 95.

2. Matrices

A 3×3 grid of figures with one empty cell. Rows and columns follow rules: the count grows, the fill changes, the figure rotates. This question type is a classic way to measure abstract reasoning without depending on language or schooling. On QI Agora, every matrix is generated on the spot from rules, so they never repeat.

3. Numerical reasoning

Everyday problems: percentages, proportions, averages, discounts. No memorized formulas needed, just understanding what the problem asks.

Example: a price goes up 20% and then down 20%. Is it back where it started?
No: 100 goes to 120 and then drops to 96. It fell 4%.

4. Memory

Numbers, colors or lit squares appear for a few seconds and disappear. Then comes the question. It's a test of working memory, the ability to hold information briefly and use it. In the harder questions, you need to recall the sequence backwards.

5. Spatial reasoning

You see a piece and need to choose which option is the same piece, just rotated. The others are mirrored, like a right-hand glove and a left-hand one. It seems easy, until the piece has seven squares.

6. Logic and language

Analogies ("hand is to glove as foot is to…"), which word doesn't belong, deductions ("every X is Y; some Y are Z; what can you conclude?"), ordering people and secret codes.

Example: if the day before yesterday was Sunday, what day will it be the day after tomorrow?
Today is Tuesday; the day after tomorrow is Thursday.

Which area is your strongest?

With QI Agora's full result you get a report by area, with your correct answers, average time and your strengths.

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