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Free Logical Reasoning Test: 30 Questions in 20 Minutes

Practise the kind of logical reasoning test employers use: 30 original questions on number and letter series, figure series, odd one out, analogies and matrices, getting harder as you go, against a 20-minute clock. Try 10 sample questions with answers first, then see your score out of 30 the moment you finish the full test. Taking the test and seeing your score is free; a detailed report and certificate are optional.

Free score out of 3030 original questions20-minute timer
A woman at her desk thinking through a problem, with her laptop open Instant score out of 30
30questions20minutes5question types

This logical reasoning test at a glance

Questions
30 multiple choice: 6 each of series, figure series, odd one out, analogies and matrices
Time limit
20 minutes (about 40 seconds a question)
Order
Easy to hard, the five types mixed
Scoring
One point per correct answer, out of 30; no penalty for wrong answers
Calculator
Not needed: every question is solved by spotting a rule
What it measures
Inductive (rule-finding) reasoning, the core of most abstract and logical reasoning tests
This practice test
Free to take, free score out of 30; full report and certificate optional

A practice test, not an IQ test. Every question on this page and in the timed test was written by IQ Metrics. Your result is a score out of 30, never an IQ, and there is no percentile, because a fair percentile needs a large group of earlier test takers to compare with. IQ Metrics is not affiliated with SHL or any other test publisher.

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Logical reasoning questions with answers

Ten logical reasoning sample questions, two of each type, easy first. Click an option to see if you are right and why. The clock starts on your first click: the full test gives you about 40 seconds a question, so aim to finish all ten in 7 minutes. These ten are not in the timed test, so practising them gives nothing away.

7:000 of 10 answered
1Number series

64, 32, 48, 24, 36, 18, … What number comes next?

Show the answer

Answer C: 27. The steps take turns: halve (64 to 32), then add half (32 to 48), halve (48 to 24), add half (24 to 36), halve (36 to 18). Next is "add half": 18 + 9 = 27.

2Figure series

Which board comes next?

Five 3x3 boards. Navy squares fill the board along the rows, one more each time, with an orange square in the next place.
Show the answer

Answer D: six navy squares, orange in the seventh place. Each board adds one navy square, filling the board along the rows like reading a page. The orange square always sits in the next empty place, one step ahead of the navy squares. Board six: six navy squares and the orange square in the seventh place (bottom left).

3Odd one out

Five of these six figures follow the same rule. Which one is the odd one out?

Show the answer

Answer F: navy pentagon, orange triangle. In each tile, count the corners of the navy shape and of the orange shape. In five tiles the navy shape has exactly one corner more than the orange one. The navy pentagon with the orange triangle has two corners more.

4Analogies

The first figure changes into the second. Make the same change to the third figure.

A small grid of navy and orange squares becomes the same grid flipped top to bottom; then a third grid.
Show the answer

Answer B: flipped top to bottom. In the example the top row becomes the bottom row: the pattern is flipped top to bottom, like a reflection in water. Nothing else changes: the colours stay the same. Flip the third pattern top to bottom.

5Matrices

Which figure belongs in the empty square of the grid?

A 3x3 grid of circles, squares and triangles in white, orange and navy, with the bottom-right square missing.
Show the answer

Answer E: navy square. Every row has one circle, one square and one triangle. The bottom row has a triangle and a circle, so it needs a square. The colour stays the same down each column: white, orange, navy. The last column is navy.

6Letter series

C3, F6, I9, L12, … What comes next?

Show the answer

Answer B: O15. Each number is the letter's place in the alphabet: C is the 3rd letter, F the 6th, I the 9th, L the 12th. Each step moves on three letters, so next is the 15th letter, O, with the number 15.

7Figure series

Which arrow comes next?

Five arrows, alternately navy and orange, each turned 135 degrees clockwise from the one before.
Show the answer

Answer A: orange, pointing up-left. The arrow turns the same amount clockwise each time: 135 degrees, a quarter turn and a half. From pointing down, 135 degrees clockwise ends pointing up-left. The colour swaps every time, navy then orange, so the sixth arrow is orange.

8Odd one out

Five of these six figures follow the same rule. Which one is the odd one out?

Show the answer

Answer C: 5 navy, 2 orange. Count the navy squares and the orange squares on each board. On five boards there are exactly twice as many navy squares as orange ones: 2 and 1, 4 and 2, 6 and 3. The odd board has 5 navy squares and 2 orange ones.

9Analogies

The first figure changes into the second. Make the same change to the third figure.

A grid of navy and orange squares becomes the same grid turned upside down with the two colours swapped; then a third grid.
Show the answer

Answer F: turned a half turn, colours swapped. Two things change in the example. The pattern turns a half turn (upside down). Navy squares become orange and orange squares become navy. Do both to the third pattern.

10Matrices

Which figure belongs in the empty square of the grid?

A 3x3 grid of circles, squares and hexagons holding dots, with the bottom-right square missing.
Show the answer

Answer D: hexagon with 4 dots. Along each row, the third cell has as many dots as the first two together: 1 + 2 = 3, 2 + 2 = 4. The shape stays the same along a row. Bottom row: 3 + 1 = 4 dots in a hexagon.

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The basics

What is a logical reasoning test?

A logical reasoning test measures how well you find the rule behind a set of examples and use it to choose the right answer, usually against a tight time limit. Most employer versions are non-verbal: series of numbers, letters or shapes, odd-one-out sets, analogies and matrices. No knowledge is tested, only how quickly and accurately you spot the rule.

Psychologists call this inductive reasoning: working from examples to a general rule. [4] The best-known test of it, Raven’s Progressive Matrices, was developed in 1936 and is still used as a non-verbal measure of fluid reasoning, the ability to solve new problems without relying on what you have learned. [1] Employers use the same kind of question because it works across languages and backgrounds.

This logical reasoning practice test has 30 questions in 20 minutes, six of each of the five most common types, mixed together and ordered from easy to hard, the way timed aptitude tests are.

The five question types in this logical reasoning test
TypeWhat you seeWhat you doQuestions
Number and letter seriesA list such as 2, 6, 18, 54 …Find the step and give the next term6
Figure seriesFive pictures in a rowWork out what changes and pick the sixth6
Odd one outSix figuresFind the rule five share and the one that breaks it6
AnalogiesA changes into B; then CMake the same change to C6
MatricesA 3×3 grid with one cell missingFind the row and column rules6
Which test will you face?

Types of logical reasoning tests

“Logical reasoning test” is an umbrella name. Employers and test publishers use several formats under it, and an invitation email does not always say which one. These are the five you are most likely to meet.

01Inductive reasoning test

Find the rule from examples: what comes next, which is the odd one out, which completes the grid. This is what most employers mean by a logical reasoning test, and what the questions on this page practise. [4]

02Abstract reasoning test

The same skill with shapes only: no numbers or words. Sequences, odd-one-out sets and matrices of figures. An abstract reasoning test is close to the matrix-style questions of a culture-fair test.

03Deductive reasoning test

Statements, then a conclusion: does it follow, not follow, or can you not tell? Deductive reasoning means the conclusion must be true if the statements are. [5] Verbal logical reasoning tests and critical thinking tests such as the Watson-Glaser use this format; see what the Watson-Glaser measures.

04Diagrammatic reasoning test

Shapes pass through boxes, and each box changes them by a rule (turn, recolour, remove). You work out what each box does and follow a new shape through. It is inductive reasoning with a flow chart.

05Mixed aptitude tests

Short employer tests often mix logical reasoning with numbers and words. If you face one, our guides explain the scores: SHL, CCAT, PI Cognitive and Thomas GIA; and the Wonderlic practice test drills the 12-minute format.

Methods

The five question types, and how to solve them

Each type has a fastest way in and a trap that costs people points. Knowing both is the cheapest time you can save on any logical reasoning aptitude test.

01Number and letter series

Fastest method: write the gaps between the terms. If the gaps have no pattern, split the list into every other term: two series may be woven together, each with its own rule. For letters, use their places in the alphabet.

Common trap: stopping at the first rule that fits two steps but not the third. More in our guide to finding the rule in number sequences.

02Figure series

Fastest method: follow one part of the picture at a time across all the frames (the arrow, then the dot, then the colour), name each rule, then put them together.

Common trap: choosing the option that is right on one rule and wrong on the other. Wrong options are built to be half right.

03Odd one out

Fastest method: ask what is true inside each figure (dots match the corners, the two pieces are the same shape) rather than comparing figures with each other. The odd one breaks the rule, not the look.

Common trap: picking the figure that simply looks different. Good odd-one-out questions make every figure look different.

04Analogies

Fastest method: list every change from the first figure to the second (turned, mirrored, recoloured, reversed) and also what did not change. Then apply the whole list to the third figure.

Common trap: confusing a quarter turn with a mirror image. Check one corner of the figure: a turn keeps its neighbours in the same order, a mirror reverses them.

05Matrices

Fastest method: read the grid across the rows, then down the columns. Most grids carry two or three rules at once: something that changes along a row, something fixed per column, or a third cell made from the first two. See matrix puzzles: one rule you can say out loud.

Common trap: finding one rule and stopping. Check your answer against its row and its column.

Scores

How the logical reasoning test is scored

You get one point for each correct answer, out of 30. There is no penalty for a wrong answer, so never leave a question blank.

On an employer’s logical reasoning test your result is usually turned into a percentile: how you did compared with a group of earlier test takers, such as graduates or managers. Each employer then sets its own pass mark. Our guide to SHL scores explains norm groups and percentiles.

This practice test does not have a norm group yet, so it shows your raw score out of 30: no percentile, and never an IQ. That keeps the number honest. What it tells you is just as useful for practice: how many you got right, how far you got, and how long you took.

What to aim for
Reach Q20 by 12:00
Q1Q6Q12Q18Q24Q30

The first questions are the easiest. If you reach question 20 with about 8 minutes left, you have time for the hard ones at the end.

Strategy

Pacing 30 questions in 20 minutes

About 40 seconds a question on average, but not evenly: the early questions take 20 seconds, the last ones a minute or more. Bank time early and spend it late.

0:00

Start fast

The first eight questions are warm-ups. Answer them quickly and move on.

5:00

Check your pace

Aim to be past question 10. If you are not, start skipping anything slow.

12:00

The hard third

Questions 20 to 30 have two or three rules each. Give each one up to a minute.

19:00

Never leave a blank

Wrong answers cost nothing. In the last minute, answer everything you skipped.

Logical reasoning test practice

How to prepare for a logical reasoning test

Practice helps. A review of 50 studies found that people score higher on average when they take a cognitive ability test again, and more when the retest follows coaching. [3] Most of that gain comes from familiarity and pace; see what practice actually changes.

  1. Take a timed test first. Use the full 30-question logical reasoning test online to see your starting score and how far you get in 20 minutes.
  2. Find the type that costs you most. For most people it is matrices or analogies with two changes at once.
  3. Learn the common rules. Turns of 45, 90 and 180 degrees; mirror images; counting corners, dots or squares; alternating steps; two series woven together; adding or removing what two figures share.
  4. Say the rule before you look at the options. The wrong options are built from half-right rules, so reading them first pulls you towards a trap.
  5. Drill one type at a time, with a timer. Ten minutes a day on your slowest type beats an hour of untimed practice.
  6. Take a second full test. Compare how many questions you reached and your score.
  7. On test day, read the instructions before the clock starts, keep scrap paper if it is allowed, and never leave the last questions blank.
Hiring

Logical reasoning tests at work

Employers use logical reasoning tests early in hiring, often online right after an application, because they are quick, cheap to run and do not depend on a particular degree or language.

Do they work? Ability tests do predict job performance, but less strongly than older research claimed: a 2022 re-analysis of the evidence found earlier estimates for hiring methods were too high, and ranked structured interviews first, while concluding that the methods remain useful. [2] Read more in what a cognitive ability test at work actually predicts.

After the clock stops

Your score at once, the detail if you want it

Free, instant, on screen

Your logical reasoning score

  • Your score out of 30
  • How many questions you answered
  • How much of the 20 minutes you used

Where the points went

  • Score by question type: series, figure series, odd one out, analogies, matrices
  • Question-by-question review of what you got right and wrong
  • Pace analysis and a practice plan for your weakest type
  • A printable certificate in your name
Questions

Logical reasoning test FAQ

What is a logical reasoning test?

A logical reasoning test checks how well you find the rule behind a pattern and apply it to reach the right answer. Most employer versions are non-verbal: number and letter series, sequences of shapes, odd-one-out sets, analogies and matrices, under a time limit. No special knowledge is needed; what is measured is how quickly and accurately you spot the rule.

How many questions are on this logical reasoning test, and how long do I get?

30 questions in 20 minutes, about 40 seconds a question. There are six of each type: number and letter series, figure series, odd one out, analogies and matrices. They start easy and get harder.

Is this logical reasoning test free?

Yes. Taking the full 30-question test and seeing your score out of 30 is free, and so are the 10 sample questions with answers on this page. You enter a name and email so we can show and save your result; no payment or card is needed. A detailed report (score by question type, question-by-question review, pace and a practice plan) and a printable certificate are optional and paid.

What types of questions are on a logical reasoning test?

The common types are number and letter series (what comes next), figure series (which picture comes next), odd one out (which figure breaks the rule), analogies (A is to B as C is to what) and matrices (which figure completes a grid). Some employers also use deductive or diagrammatic reasoning tests, described further up this page.

What is the difference between inductive and deductive reasoning tests?

An inductive reasoning test shows you examples and asks you to find the rule, like the questions on this page. A deductive reasoning test gives you statements and asks what must follow from them, such as “all managers are engineers; Sam is a manager; so Sam is an engineer”. Many employers call both “logical reasoning”.

Is abstract reasoning the same as logical reasoning?

Nearly. “Abstract reasoning test” usually means the picture-based kind of logical reasoning test: series, odd one out and matrices made of shapes. This logical reasoning test includes those, plus number and letter series.

What is a good score on a logical reasoning test?

On an employer test, your result is usually a percentile: how you compare with a group of earlier test takers, and each employer sets its own pass mark. This practice test has no norm group yet, so it shows your raw score out of 30, never a percentile or an IQ. A useful aim is to reach all 30 questions and get most of the first 20 right.

How is this logical reasoning test scored?

One point for each correct answer, out of 30. Your score appears as soon as you finish, with how many questions you answered and how long you took. The optional report breaks the score down by question type.

Is there a penalty for wrong answers?

No. A wrong answer and a blank both score zero, so it is always better to answer. If a question is taking too long, skip it and come back before the 20 minutes run out.

How can I improve at logical reasoning tests?

Practise the question types under a timer. Scores on cognitive ability tests rise on average when people take a test again, and more with coaching. Learn the common rules (turns, mirror images, counting, alternating steps) and say each rule in words before you look at the options.

Are logical reasoning tests hard?

The hardest part is usually the time limit and the unfamiliar format, not the logic itself. Each question needs only one or two rules, but you have well under a minute to find them. Practice with the real format removes most of the surprise.

Is this the SHL logical reasoning test?

No. This is an independent practice test with original questions written by IQ Metrics. It uses the same kinds of question that inductive and abstract reasoning tests from publishers such as SHL use, but it is not affiliated with or endorsed by SHL or any other test publisher.

Is there a logical reasoning test PDF with answers?

The 10 sample questions on this page print with their answers: use the “Print or save as PDF” button above the samples. The full 30-question test is taken on screen, so it can be timed and scored at once.

Is my logical reasoning score an IQ score?

No. It is the number of questions you answered correctly out of 30. Logical reasoning is one part of what IQ tests measure, but a short practice test like this cannot give an IQ, so we never show one.

Ready when the clock is

30 logical reasoning questions, 20 minutes, easy to hard. Find a quiet spot, keep scrap paper handy, and see your score out of 30 free the moment you finish.

Start the 20-minute test →
References

Sources

  1. Raven's Progressive Matrices. Wikipedia. Developed by John C. Raven and Lionel Penrose in 1936; each item asks for the missing part of a pattern; a non-verbal estimate of fluid intelligence and abstract reasoning.
  2. Revisiting meta-analytic estimates of validity in personnel selection. Sackett, Zhang, Berry & Lievens, Journal of Applied Psychology 107(11), 2022. Earlier validity estimates for hiring methods were too high by about .10 to .20; the methods remain useful; structured interviews ranked first.
  3. Retesting in selection: a meta-analysis of coaching and practice effects for tests of cognitive ability. Hausknecht, Halpert, Di Paolo & Moriarty Gerrard, Journal of Applied Psychology 92(2), 2007. 50 studies, 107 samples, 134,436 people: scores rose on a retest by an adjusted .26 standard deviations, more with coaching or the identical form.
  4. Inductive reasoning. Wikipedia. Reasoning from observed cases to a general rule, whose conclusion is probable rather than certain.
  5. Deductive reasoning. Wikipedia. Reasoning from premises to a conclusion that must be true if the premises are true.

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