Preparing for the PICAT (Pre-screening, Internet-delivered Computerized Adaptive Test)? A printable PICAT practice test PDF gives you an offline format to review the arithmetic reasoning, mathematics knowledge, word knowledge, and paragraph comprehension questions that the PICAT assesses. The PICAT is the at-home pre-screening version of the ASVAB โ if you score well and verify successfully at MEPS, you can bypass the full ASVAB. Working through PICAT-style questions on paper builds the academic foundations that military enlistment testing requires. This page provides a free PDF download and a complete PICAT preparation guide.
The PICAT is administered online at home as a pre-screener for military enlistment. Recruits who take the PICAT and score well (qualifying Armed Forces Qualification Test score) still must complete a shorter verification test at MEPS (Military Entrance Processing Station). The PICAT covers the same four sections as the ASVAB verification test: Arithmetic Reasoning, Mathematics Knowledge, Word Knowledge, and Paragraph Comprehension.
The PICAT (and the verification ASVAB it pre-screens for) tests four sections that form the AFQT score. Your PICAT practice test PDF covers all four areas.
Arithmetic Reasoning is the most heavily weighted section for AFQT calculation. Questions are word problems requiring you to translate a verbal description into a math calculation. Common topics: percent problems (calculate sale price, tip, tax), rate problems (distance/rate/time โ D = RT), ratio and proportion, simple and compound interest, and basic statistics (average calculation). Practice translating word problems into equations โ write down what you're solving for before calculating. The PICAT AR section is adaptive: get it right and the next question is harder, which can earn a higher score.
Mathematics Knowledge tests mathematical concepts rather than word problems. Topics include: operations with fractions and decimals, exponents (multiplying/dividing with same base, negative exponents), square roots, algebraic equations (solving for variables), geometry (area and perimeter of basic shapes โ triangle, rectangle, circle), and basic number properties (prime numbers, factors, multiples). Unlike the calculator-free SAT math, PICAT MK allows mental math strategies โ know your multiplication tables and fraction operations fluently.
Word Knowledge tests vocabulary โ specifically, your ability to select synonyms and understand words in context. Question types: direct synonym identification ("Arid most nearly means: A) dry B) hot C) windy D) cold") and sentence context ("The soldier's demeanor was stoic, meaning she appeared..."). The most effective WK preparation is systematic vocabulary building โ 10-15 new words per day from ASVAB word lists, combined with learning roots, prefixes, and suffixes. Greek and Latin roots appear consistently: -aud (hear), -chron (time), -graph (write), -port (carry), -voc (call).
Paragraph Comprehension presents short passages (3-5 sentences) followed by 1-2 questions. Question types: main idea (what is the passage primarily about?), detail (which fact does the passage directly state?), inference (what can be concluded from the passage?), and vocabulary in context. All PC answers are directly supported by the passage โ never answer from outside knowledge. The passage is always 100% correct; answer based only on what's written. PC questions are quick โ most test-takers find this the fastest section.
The PICAT is open-resource at home (recruiters advise taking it honestly to match your verification test performance). The verification test at MEPS is a shorter, supervised version of the ASVAB that confirms your PICAT score is valid. If your verification score is within an acceptable range of your PICAT score, your PICAT score is used. If there's a significant discrepancy, you may need to take the full ASVAB. After this PDF, take online PICAT practice tests at picat practice test for instant AFQT score estimates.
For a fuller set of questions on this topic, see our picat practice test resource.
After completing this PDF, take full online PICAT practice tests at picat practice test โ instant AFQT-style scoring across all four sections with explanations for every answer. Use both: PDF for paper-based arithmetic and vocabulary practice, online for adaptive format simulation and tracking your performance toward the minimum qualifying AFQT score for your target military branch.
Try these questions from our free Picat practice tests. The correct answer and an explanation follow each question.
Which of the following is the correct way to test a Picat planning module with a simple two-state problem?
Answer: A. Define action/4 for the one transition and final/1 for the goal, then call plan/2
A minimal planning problem needs at least one `action/4` clause defining the transition and a `final/1` clause defining the goal, then `plan/2` is called.
What is the primary characteristic that distinguishes a Picat function from a Picat predicate?
Answer: C. Functions must always succeed and return exactly one value, while predicates can fail, succeed, or provide multiple answers via backtracking.
In Picat, a function is a specialized form of a predicate. The key difference is that a function is deterministic; it must always succeed and yield a single return value. Predicates, on the other hand, are more general: they can succeed (once or multiple times through backtracking) or they can fail.
Which built-in predicate checks whether a term is a free (uninstantiated) variable in Picat?
Answer: A. var(X)
`var(X)` succeeds when X is an uninstantiated variable, following the standard logic-programming convention.
Consider the following Picat code for finding a path in a graph. Without tabling, this code could enter an infinite loop if the graph contains cycles. How does adding the `table` directive prevent this issue? ```picat path(X, Y) => edge(X, Y). path(X, Y) => path(X, Z), edge(Z, Y). ```
Answer: D. It memorizes calls to `path/2` and reuses answers, preventing re-exploration of the same subgoals.
Tabling works by storing the subgoals that are called and their corresponding answers in a table. When a new call is made that is a variant of a previously tabled call, the system uses the stored answers instead of re-deriving them. In a graph with cycles, a simple recursive search can loop indefinitely. By tabling `path/2`, Picat will detect that it is trying to solve a subgoal it has already encountered in the current derivation path (a loop) and will use the existing answers or suspend the call, effectively breaking the infinite recursion.