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Arithmetic Test

Arithmetic

This test measures your ability to perform basic arithmetic operations and to solve
problems that involve fundamental arithmetic concepts. There are 17 questions on the
Arithmetic tests, divided into three types.

• Operations with whole numbers and fractions: Topics included in this category are
addition, subtraction, multiplication, division, recognizing equivalent fractions and
mixed numbers, and estimating.

• Operations with decimals and percents : Topics include addition, subtraction,
multiplication, and division with decimals. Percent problems, recognition of
decimals, fraction and percent equivalencies, and problems involving estimation are
also given.

• Applications and problem solving: Topics include rate, percent, and measurement
problems; simple geometry problems; and distribution of a quantity into its fractional
parts.

Arithmetic Sample Questions

Solve the following problems and select your answer from the choices given. You may use
the paper you have been given for scratch paper.

4. Which of the following is the least ?
A. 0.105
B. 0.501
C. 0.015
D. 0.15

6. Which of the following is closest to 27.8 × 9.6?
A. 280
B. 300
C. 2,800
D. 3,000

7. A soccer team played 160 games and won 65 percent of them. How many games did it win?
A. 94
B. 104
C. 114
D. 124

8. Three people who work full-time are to work together on a project, but their total time on the
project is to be equivalent to that of only one person working full-time. If one of the people is
budgeted for one-half of his time to the project and a second person for one-third of her time,
what part of the third worker’s time should be budgeted to this project?

Elementary Algebra

A total of 12 questions of three types are administered in this test.

• The first type involves operations with integers and rational numbers, and includes
computation with integers and negative rationals , the use of absolute values, and
ordering .

• The second type involves operations with algebraic expressions using evaluation of
simple formulas and expressions , and adding and subtracting monomials and
polynomials. Questions involve multiplying and dividing monomials and
polynomials, the evaluation of positive rational roots and exponents , simplifying
algebraic fractions, and factoring.

• The third type of question involves translating written phrases into algebraic
expressions and solving equations, inequalities, word problems, linear equations and
inequalities, quadratic equations (by factoring), and verbal problems presented in an
algebraic context.

Elementary Algebra Sample Questions

Solve the following problems and select your answer from the choices given. You may use
the paper you have been given for scratch paper.

1. If A represents the number of apples purchased at 15 cents each, and B represents the number
of bananas purchased at 10 cents each, which of the following represents the total value of the
purchases in cents?

4. In the figure below, both circles have the same center, and the radius of the larger circle is R. If
the radius of the smaller circle is 3 units less than R, which of the following represents the area
of the shaded region?

College-Level Mathematics Test

The College-Level Mathematics test measures your ability to solve problems that involve
college-level mathematics concepts. There are six content areas measured on this test: (a)
Algebraic Operations, (b) Solutions of Equations and Inequalities, (c) Coordinate
Geometry, (d) Applications and other Algebra Topics, (e) Functions, and (f)
Trigonometry. The Algebraic Operations content area includes the simplification of
rational algebraic expressions, factoring and expanding polynomials, and manipulating
roots and exponents. The Solutions of Equations and Inequalities content area includes
the solution of linear and quadratic equations and inequalities, systems of equations, and
other algebraic equations. The Coordinate Geometry content area presents questions
involving plane geometry, the coordinate plane, straight lines, conics, sets of points in the
plane, and graphs of algebraic functions. The Functions content area includes questions
involving polynomial, algebraic, exponential, and logarithmic functions. The
Trigonometry content area includes trigonometric functions. The Applications and other
Algebra Topics content area contains complex numbers, series and sequences,
determinants, permutations and combinations , factorials, and word problems. A total of
20 questions are administered on this test.

Sample Questions

Solve the problem. Use the paper you were given for scratchwork.

4. The graph of which of the following equations is a straight line parallel to the graph of y = 2x ?

5. An equation of the line that contains the origin and the point (1, 2) is

6. An apartment building contains 12 units consisting of one- and two-bedroom apartments that
rent for $360 and $450 per month, respectively. When all units are rented, the total monthly
rental is $4,950. What is the number of two-bedroom apartments?

7. If the two square regions in the figures below have the respective areas indicated in square
yards, how many yards of fencing are needed to enclose the two regions ?

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