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MAT Practice — Analogies Involving Mathematics

At least a few of the 120 analogies (questions) on your MAT will test your knowledge of mathematics and your mathematical skills. MAT mathematics content is limited to basic arithmetic, number theory, descriptive statistics, algebra and geometry.

On this page are five MAT-style practice analogies involving mathematics. Further down the page you'll find an analysis of each question.

Directions: In each of the following questions, you will find three terms in upper-case letters and, in parentheses, four answer options lettered (a), (b), (c) and (d). Select the answer option that best completes the analogy with the three other terms.

  1. (a. XXIII, b. XVI, c. LVIII, d. XLII) : XCII :: XVI : LXIV

  2. QUADRILATERAL : OCTAGON :: (a. septagon, b. square, c. rhombus, d. triangle) : HEXAGON

  3. 22 : SQUARE ROOT OF 64 :: CUBE ROOT OF 64 : (a. 22, b. 23, c. 32, d. 33)

  4. (a. 4, b. 8, c. 16, d. 32) : GALLON :: 2 : PINT

  5. 1–1 : (a. –40, b. 50, c. 100, d. 1,000) :: 5–1 : 20

Answers and Explanations
[Types of Relationships in MAT Analogies]

  1. The correct answer is (a). XXIII (23) is one fourth of XCII (92), while XVI (16) is one fourth of LXIV (64). (Analogy type: mathematical)

  2. The correct answer is (d). A quadrilateral (four-sided geometric shape) contains half the number of sides as an octagon (eight-sided shape). Similarly, a triangle (three-sides shape) contains half the number of sides as a hexagon (six-sided shape). (Analogy type: mathematical)

  3. The correct answer is (b). 22 = 4, which is one half the square root of 64 (8). The cube root of 64 is 4, which is one half of 23 (8). (Analogy type: mathematical)

  4. The correct answer is (c). There are 2 cups to a pint, 2 pints to a quart, and 4 quarts to a gallon. Therefore, there are 16 cups to a gallon. (Analogy type: mathematical)

  5. The correct answer is (c). 1–1 = 1/1, or 1, which is 1/100 of 100. 5–1 = 1/5, which is 1/100 of 20. (Analogy type: mathematical)