# 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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