IQ Test Pattern Recognition Questions: 12 Worked Examples
IQ test pattern recognition questions show you a sequence or grid and ask what comes next or what's missing. Almost all of them are built from a small set of rule families: adding, multiplying, rotating, alternating, counting and position shifts. Below are 12 worked examples across shapes, numbers, letters and grids, each tagged with its rule family so you can recognize the same move on questions you've never seen.
If you get the answers eventually but slowly, or can't tell why you miss the ones you miss, IQ Tester pins down the reason and trains it. Find my weak spots
How pattern questions are built
Test makers don't invent a brand-new idea for every question. They take one or two rules from a known toolkit and apply them to some material: numbers, letters or shapes. Knowing the toolkit is half the battle.
| Rule family | What changes | Example |
|---|---|---|
| Constant step | Add or subtract the same amount | 3, 7, 11, 15 |
| Growing step | The gap itself changes | 1, 2, 4, 7, 11 |
| Multiply | Each term times a number | 3, 6, 12, 24 |
| Powers | Squares, cubes | 1, 4, 9, 16 |
| Alternating | Two rules take turns | +3, −1, +3, −1 |
| Rotation | Shape turns a fixed angle | 90° clockwise |
| Count | Number of parts goes up or down | 1 dot, 2 dots, 3 dots |
| Position | Something moves around a frame | Dot moves corner to corner |
As you go through the examples, notice which family each one uses. That's the iq test pattern recognition explanation most answer keys skip.
Shape sequences
Describe each figure to yourself in words. That makes shape items much easier to hold in your head.
1. The turning arrow
An arrow points up, then right, then down, then ?
Answer: left. It rotates 90° clockwise each step. Rule family: rotation.
2. Sides and lines
A triangle with 1 line inside, a square with 2 lines inside, a pentagon with 3 lines inside, then ?
Answer: a hexagon with 4 lines inside. The number of sides goes up by one each step, and so does the number of inner lines. Rule family: count, twice. Two things change at the same rate.
3. The moving dot
A square with a black dot in the top-left corner, then a white dot in the top-right, then a black dot in the bottom-right, then ?
Answer: a white dot in the bottom-left. The dot moves one corner clockwise each step, and its color alternates black, white, black, white. Rule family: position plus alternating. Miss either rule and you'll pick the wrong option, since test makers include one answer for each half-rule.
For more on shape items (rotations, mirror images, piece assembly), see our guide to IQ test visual puzzles.
Number patterns
With numbers, write the gaps underneath. If the gaps don't settle into a rule, try ratios (divide), then try squares or cubes.
4. 7, 10, 16, 25, 37, ?
Answer: 52. Working: gaps are 3, 6, 9, 12. They go up by 3, so the next gap is 15. 37 + 15 = 52. Rule family: growing step.
5. 1, 8, 27, 64, ?
Answer: 125. Working: the gaps (7, 19, 37) look messy. Try powers: 1 = 1³, 8 = 2³, 27 = 3³, 64 = 4³. Next is 5³ = 125. Rule family: powers.
6. 100, 50, 52, 26, 28, ?
Answer: 14. Working: the steps alternate: halve, add 2, halve, add 2, halve. 28 ÷ 2 = 14. Rule family: alternating.
Want two more number walk-throughs? 3, 5, 9, 17 shows a doubling gap, and 2, 6, 12, 20, 30 shows how the same sequence can be solved two ways.
Letter patterns
Turn letters into numbers: A = 1, B = 2, all the way to Z = 26. Then they're just number patterns in disguise.
7. B, D, F, H, ?
Answer: J. Working: 2, 4, 6, 8, so next is 10 = J. Rule family: constant step.
8. Z, X, U, Q, ?
Answer: L. Working: 26, 24, 21, 17. The gaps go back 2, 3, 4, so next is back 5: 17 − 5 = 12 = L. Rule family: growing step, running backward.
9. AZ, BY, CX, ?
Answer: DW. Working: the first letter moves forward through the alphabet (A, B, C, D). The second letter moves backward from the end (Z, Y, X, W). Rule family: two constant steps in opposite directions.
A handy trick for letter items: memorize a few anchor positions. E = 5, J = 10, O = 15, T = 20. Then you can count from the nearest anchor instead of from A.
Grid patterns
Grids, or matrices, are the backbone of many nonverbal IQ tests, including the Mensa-style pattern tests people search for. Check rows first, then columns, then diagonals.
10. The number square
2 7 6
9 5 1
4 3 ?
Answer: 8. Working: each row adds up to 15 (2 + 7 + 6, 9 + 5 + 1). So 4 + 3 + ? = 15, and ? = 8. Check the columns: 6 + 1 + 8 = 15. It holds. Rule family: constant sum.
11. The product row
2 3 6
4 5 20
3 7 ?
Answer: 21. Working: in each row, the first number times the second gives the third. 3 × 7 = 21. Rule family: operation across a row.
12. Counting lines
Each cell contains some straight lines.
- Row 1: 1 line, 2 lines, 3 lines
- Row 2: 2 lines, 3 lines, 4 lines
- Row 3: 3 lines, 4 lines, ?
Answer: 5 lines. Working: across each row, add one line. Down each column, also add one line. Both directions agree, which is a good sign you've got it. Rule family: count, in two directions.
Keeping score on yourself is where this gets hard. Did you miss 3 because you stopped at one rule, or 8 because the backward counting slipped? IQ Tester's 16-question check works that out for you, separating pattern spotting from working memory and mental arithmetic, then builds a daily 10-minute drill around the one that's actually holding you back. Find my weak spots
Checking your answer
Most wrong answers on iq test pattern matching items come from stopping too early, not from missing the rule entirely. Run this quick checklist before you commit:
- Say the rule in one sentence. "The dot moves clockwise and alternates color."
- Test it on every item, not just the first two or three.
- Ask if anything else changes. Size, shading, direction, count.
- Predict the answer before reading the options. Then look for your prediction.
- If two options fit, you missed a rule. Go back to step 3.
The last point is worth remembering. On a well-made question, exactly one option fits all the rules. If two seem to fit, that's a clue, not bad luck.
For the full training routine behind these habits, see how to improve pattern recognition skills.
Get faster at pattern questions
Twelve worked examples teach the rule families. Practicing them every day is what makes iq test pattern recognition questions feel quick. IQ Tester's 16-question check takes about two minutes and shows whether pattern spotting is one of your weak spots. Then you get one tip and one roughly 10-minute drill a day, mixing pattern, number, verbal and logic problems, weighted toward what trips you up.
FAQ
What are pattern recognition questions on an IQ test?
They're questions where you find the rule behind a sequence or grid of numbers, letters or shapes, then use it to pick what comes next or what's missing. They're a common way to measure reasoning without relying on vocabulary.
How do you solve iq test pattern recognition questions fast?
Say the rule out loud, test it on every item, and check for a second rule before choosing. For numbers, write the gaps. For letters, convert to numbers. For shapes, describe each figure in words.
Are mensa iq test pattern recognition questions harder?
Mensa-style tests tend to use grid puzzles with two or three rules combined. The rule families are the same as on easier tests; there are just more of them at once.
What are some pattern recognition examples with answers?
Try 7, 10, 16, 25, 37 (next is 52, gaps grow by 3) or Z, X, U, Q (next is L, stepping back 2, 3, 4, 5). This page walks through 12 of them.
Can you practice iq test patterns at home?
Yes. Write out gap tables, make your own sequences for a friend, and work through mixed sets of number, letter and shape puzzles a few minutes a day.