The Miller Analogies Test (MAT) is a standardized, high-level mental ability test administered by Pearson VUE. Unlike most graduate admissions exams, the MAT measures analytical ability exclusively through analogy problems — 120 questions in just 60 minutes. Because every item requires you to identify a relationship between concepts and complete a four-part proportion (A:B::C:D), it demands both broad knowledge and sharp reasoning.
Graduate schools and doctoral programs use MAT scores to evaluate applicants in fields ranging from psychology and education to business and the natural sciences. Many gifted-education programs at the K–12 level also use the MAT as a screening instrument for advanced learners. If you're applying to a master's or doctoral program that accepts MAT scores, or if you're being considered for a gifted-education position, understanding the test's structure is essential.
Practicing with a PDF study guide offers several distinct advantages. You can print the questions and work through them with pencil and paper — mirroring the timed, written format of test day. A printable PDF also lets you annotate each analogy, circle clue words, and track which knowledge domains give you the most trouble. Download the free MAT practice test PDF below to get started.
Every MAT item follows the same four-term proportion format: A : B :: C : D. One of the four terms is left blank, and you must choose the answer that correctly completes the relationship. The relationship between the first pair must mirror the relationship between the second pair. For example, if the relationship is "part to whole," both pairs must express a part-to-whole relationship.
The blank can appear in any of the four positions — this is one of the trickier aspects of the MAT. Many test-takers instinctively read analogies left to right and assume the missing term is the fourth, but the blank can be term 1, 2, 3, or 4. Always identify the complete pair first, determine the relationship, then fill in the blank based on that same relationship in the incomplete pair.
Semantic analogies are the most common and involve word meanings: synonyms (fast : quick), antonyms (hot : cold), degree (warm : scorching), or definitional relationships (pediatrician : children). Broad vocabulary across humanities, sciences, and social sciences is your best preparation for semantic items.
Classification analogies group things by category or type. Examples include member-to-class (oak : tree), class-to-member (primate : human), or sub-type to broader type (sonnet : poem). These items reward knowledge of how concepts nest within taxonomies — biological classification, literary genres, historical periods, and so on.
Association analogies link concepts by non-definitional relationships: creator to creation (Shakespeare : Hamlet), tool to user (scalpel : surgeon), symbol to concept (scales : justice), or characteristic attribute (Einstein : relativity). A broad background in history, literature, art, and science is crucial for association items because the connection is often culturally specific.
Logical and mathematical analogies rely on numerical relationships, sequences, or formal logical patterns. Examples include ratio relationships (2 : 4 :: 3 : 6), part-to-part ratios, or symbol/notation conventions. These items appear less frequently than semantic or association items but can trip up test-takers who haven't reviewed basic quantitative reasoning.
MAT content is drawn from four broad knowledge domains, each representing roughly 25 percent of the 120 questions:
Because the exam samples from all four domains equally, specialists in one field often underperform on the other three. A doctoral candidate in English literature may be strong on humanities but weak on natural sciences. Balanced review across all domains is essential, even if you expect your target program to weigh one domain more heavily than others.
MAT scores are reported as a scaled score (200–600) and as a percentile rank relative to either a general graduate-level norm group or a specific graduate field norm. Programs differ in how they interpret these scores — some set minimum scaled-score thresholds while others focus on the percentile rank within relevant comparison groups. A score at or above the 50th percentile on the general norm group is typically considered average for competitive applicants. Top programs in psychology, education, and related fields may expect scores above the 70th percentile.
When submitting your application, check whether your target program specifies a scaled-score minimum or a percentile benchmark. Some programs also compare your MAT score against a subject-specific norm group (e.g., education students), so the same raw score can yield different percentiles depending on the comparison group used.
Start by identifying the complete pair — whichever pair has no blank — and naming the exact relationship in one sentence. Then apply that same relationship to the incomplete pair. Avoid starting by guessing from the answer choices; this encourages sloppy pattern matching and leads to errors on trickier items.
Build vocabulary systematically. Because the MAT draws from such a wide range of disciplines, targeted vocabulary study pays dividends. Focus on academic vocabulary in psychology, biology, history, philosophy, and the arts. Flash cards organized by domain are especially effective because they help you notice cross-domain patterns.
Work at pace. With 120 questions in 60 minutes, you have exactly 30 seconds per item. Practicing under timed conditions with the PDF is the best way to build the speed and decisiveness you need on test day. Mark difficult items during practice, return to them, and track which relationship types take you the longest.
Print the PDF and work through all questions under timed, exam-like conditions — no pausing, no looking up answers mid-test. After completing the test, score your responses and categorize each error by domain (Humanities, Social Sciences, Natural Sciences, Mathematics) and by analogy type (semantic, classification, association, logical). This gives you a targeted gap analysis: if 70 percent of your errors fall in Natural Sciences, that's where your next study session should focus.
Use the answer key at the back of the PDF to write out the relationship for every item you missed in your own words. Forced articulation of the relationship — not just checking "right" or "wrong" — dramatically improves retention and helps you spot the pattern next time it appears in a slightly different context.
For additional full-length practice under realistic conditions, visit our MAT Miller Analogies Test practice tests page, where you can take timed online tests and review detailed answer explanations for every question.