Free reasoning practice for kids, one skill at a time.
This is a small library of reasoning skills, organized so you can take them one at a time. There are seven skill families — pattern completion, figure matrices, analogies, odd one out, paper folding, spatial reasoning, and number puzzles. Each family has its own page that explains, in plain language, what the skill is and what your child is actually doing when they use it. And each one links to free interactive practice in Logica, the reasoning game in the Practice Lab, where the skill becomes a set of short, calm puzzles instead of a paragraph of theory.
Browse the reasoning skills
Built for parents of roughly kindergarten through third-grade children — the same reasoning skills that gifted and cognitive-ability screeners sample, taught skill-first.
Pattern Completion
Read the rhythm in a grid of colored, shaped tiles and fill the one that is missing — visual pattern completion for kids in grades K–3.
Learn / Practice →Figure Matrices
A 3×3 grid of pictures with one panel missing — find the rule and pick the piece that completes it. The classic nonverbal task, free and untimed, for grades K–3.
Learn / Practice →Analogies
Analogies for kids teach one durable reasoning move — spot how a first pair connects, then carry that same relationship to a new pair — through free, untimed figural and picture analogy games.
Learn / Practice →Odd One Out & Classification
Free odd one out games for grades K–3: most of the pictures share a hidden category, one doesn't, and your child learns to name the rule that connects the group.
Learn / Practice →Paper Folding
A sheet is folded and hole-punched, and the child pictures where the holes land once it opens flat — calm, free practice for the paper folding test format, in grades K–3.
Learn / Practice →Spatial Reasoning
Spatial reasoning is picturing how a shape moves — turning it, flipping it, folding it, or fitting pieces together in your mind — and Mirror Hall, in Logica, lets kids practice turning and mirroring, with a copy they can turn or flip by hand when they are stuck.
Learn / Practice →Number Puzzles
Number puzzles are quantitative reasoning for kids — noticing how numbers relate, carrying a rule to a new number, hearing the beat in a series, and balancing a scale, for grades K–3.
Learn / Practice →What Is Nonverbal Reasoning?
The plain-language guide to the whole family of skills — figural, fluid, and abstract reasoning, and why tests for young kids lean on pictures.
Read the explainer →Three calm steps
- Pick the one skill you want to work on. Each family card above opens a page devoted to a single kind of reasoning, so you are never staring at everything at once.
- Read the short explanation together and try the plain examples on the page. Talk through why an answer works — naming the rule out loud is most of the learning.
- Open the matching trail in Logica. Each trail is six puzzles, untimed, with a calm explanation for anything your child gets wrong. No login, nothing to install, works on a tablet.
Reasoning and tests
The skills in this library are the same ones that cognitive-ability tests sample. The CogAT, NNAT, OLSAT, and NGAT all measure how a child reasons with patterns, figures, relationships, and quantities rather than what facts they have memorized, and the seven families here map onto those question types. We put the skill first and the test second on purpose. A child who can genuinely read a pattern or picture a folded page is not doing test prep — they are thinking, and the thinking is what lasts. If you want the test details themselves, our guides cover scores, formats, and district timelines separately.
Parent guides by test · Gifted testing by district · The Practice Lab, explained · Math practice (Grades 4–8)
Open Logica for the full Atlas of Reason.
Seven places, five trails in each, from easy to tricky. These pages link straight to the trail that practices each skill.
Common questions
Is the reasoning practice really free?
Yes. Every family page, and every trail in Logica, the reasoning game in the Practice Lab, is free reasoning practice with no login and nothing to install. Progress saves on the device you use, and there is no upsell to reach it.
What reasoning skills does this cover?
Seven families — pattern completion, figure matrices, analogies, odd one out, paper folding, spatial reasoning, and number puzzles. Several are forms of figural reasoning, which means thinking with shapes and pictures instead of words, so a young child can do them before they read well.
What age is this for?
The reasoning activities are built for about kindergarten through third grade, with the center of difficulty around second grade. Younger children can try the easier trails with you nearby; older children can move up through the harder trails.
Are these lessons or just games?
They sit in between. Each page teaches one reasoning skill in a few short paragraphs, and Logica turns it into calm, untimed practice. There is no grading and no timer — the goal is to notice the rule, not to race a clock.
Want a printable set too?
Get the free Reasonwell sample pack — printable reasoning and test-prep material you can use at the kitchen table.
Download All three Grade 2 workbook samples ↓22 pages · 1.9 MB · No email requiredText versions (screen-reader friendly): NGAT Grade 2 sample, CogAT Level 8 sample and OLSAT Level C sample