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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 fulltime 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 fulltime. If one
of the people is
budgeted for onehalf of his time to the project and a second person for
onethird 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?
CollegeLevel Mathematics Test
The CollegeLevel Mathematics test measures your ability
to solve problems that involve
collegelevel 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 twobedroom 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 twobedroom 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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