Practice · Practice Guide

Nonverbal reasoning practice guide.

A printable practice guide for nonverbal reasoning. 150 problems across the four reasoning types measured by culture-fair tests, organized by type and difficulty, with full explanations for every item.

The guide is designed for test-takers who want to develop reasoning under timed conditions, review their performance against worked explanations, and build familiarity with the item types used on any culture-fair or matrix-based cognitive assessment.

What the guide contains

150 nonverbal reasoning problems organized into four sections:

  • Matrix Reasoning — 50 problems ranging from 2×2 introductory matrices through 3×3 problems with multiple interacting rules. The largest section, reflecting matrix reasoning's central role in fluid intelligence testing.
  • Series Completion — 40 problems including arithmetic progressions, shape cycles, transformational series, and multi-attribute sequences that combine two independent rules.
  • Classification — 30 problems covering property-based grouping, categorical abstraction, and structural classification where the distinguishing feature requires identifying which attribute defines the group.
  • Spatial Rotation — 30 problems including 2D rotation, reflection across horizontal and vertical axes, and cube-net completion requiring mental 3D visualization.

Every problem is presented in the same style as the online test. Answers and full worked explanations are provided in a separate section at the end of each subsection, so you can work through problems without inadvertently seeing the solutions.

How the guide is organized

Within each section, problems are ordered by increasing difficulty. Each problem is tagged with an approximate difficulty band:

  • Accessible — introductory items, suitable for building familiarity with the format
  • Moderate — standard difficulty, representative of items in the middle of a full-length test
  • Challenging — high-difficulty items that typically discriminate in the upper range of cognitive ability

The distribution is weighted toward moderate and challenging items, matching the difficulty profile of the online test.

What the explanations cover

Each worked explanation identifies:

  • The rule or rules governing the problem
  • How the rule applies to the correct answer
  • Why each distractor is wrong — often the most useful part, since strong distractors on well-designed items each violate exactly one aspect of the rule
  • The specific cognitive skill the item is testing

Explanations are written in the same register as the test content: precise, instrumental, not patronizing. They assume you can follow a multi-step logical argument and focus on clarifying the reasoning rather than walking through every step.

Who the guide is for

  • Test-takers preparing for a nonverbal cognitive assessment and wanting structured practice with immediate feedback
  • Anyone who has taken the online test and wants to work on specific reasoning types — the sub-score breakdown from a test result points directly to the section of the guide most worth focusing on
  • Readers interested in matrix and pattern reasoning as a form of puzzle practice, independent of any specific assessment context
  • Parents, educators, and clinicians who want representative examples of culture-fair item types

The guide is not affiliated with, endorsed by, or derived from any specific proprietary intelligence test. It is an independent collection of nonverbal reasoning problems in the style established by Raven's Progressive Matrices and the Cattell Culture Fair Intelligence Test.

Format

  • Printable PDF, approximately 180 pages at US Letter size
  • Vector graphics throughout — all figures render crisply at any zoom level
  • Single-column layout optimized for focused reading on screen or paper
  • Answer keys and explanations separated from problem pages to support genuine practice
  • Instant delivery by email after purchase

Pricing

$14.99 for the complete guide — one-time purchase, no subscription, unlimited downloads.

Purchase the guide

A sample section including six items across all four reasoning types with full explanations is available for preview. Download sample

Common questions

Will this help me score higher on an intelligence test?

Familiarity with the item format reduces the component of test performance that comes from novelty alone. Practice does not raise underlying fluid intelligence — no credible research supports the claim that short-term practice meaningfully changes Gf — but it does let your actual reasoning show through without the overhead of figuring out the format under time pressure. The effect is real but modest. Most of your score reflects your reasoning, not your preparation.

Is this practice for a specific test?

No. The guide covers the four reasoning types used across culture-fair and matrix-based cognitive assessments generally. It is not designed around any specific proprietary instrument and does not attempt to replicate the specific items or styling of any branded test.

What is the difference between the guide and the online test?

The online test produces a scored result against standard-deviation norms in a timed session — it measures your fluid intelligence and reports it on the IQ scale. The guide is a practice resource with more problems, more explanation, and no time pressure. Different purposes. Many people use both: the test to benchmark, the guide to develop.

Is there a refund policy?

Yes. If the guide does not meet your expectations, email within 14 days of purchase for a full refund.

Or take the test first

Benchmark before you practice.

A cold-start score is the most informative baseline. Take the test first, then use the guide to develop areas the sub-scores identify.

Begin the Standard Test Short assessment (6 min)