Arithmetic Test
The Arithmetic test measures your skills in three primary
categories
Operations with whole numbers and fractions
° addition, subtraction, multiplication, division
° recognizing equivalent fractions and mixed numbers.
Operations with decimals and percents
° addition, subtraction, multiplication, and division
° percent problems, decimal recognition, fraction
° percent equivalencies, and estimation problems
Applications and problem solving
° rate, percent, and measurement problems
° geometry problems
° distribution of a quantity into its fractional parts.
Samples
Solve the following problems and choose your answer from the alternatives given.
1. All of the following are ways to write 20 percent of N EXCEPT
2. Which of the following is closest to
3. 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 1/2 of his time to the project and a second person for 1/3 of her time, what part of the third worker’s time should be budgeted to this project?
4. A soccer team played 160 games and won 65 per cent of them. How many games did they win?
5. The Number of Employees of Company K Who Were Involved in Accidents
| Plant X | Plant Y | |
| Mechanics | 11 | 30 |
| Power Machine Operators | 9 | 12 |
The table above show the results of an industrial health
survey of 10,000 people employed at Company K for more
than 5 years. If 2,500 employees were surveyed in each of the four categories,
which group of employees had the
highest accident rate?
A. Mechanics in plant X
B. Mechanics in plant Y
C. Power Machine Operators in plant X
D. Power Machine Operators in plant Y
7. 7.86 X 4.6 =
A. 36.156
B. 36.216
C. 351.56
D. 361.56
8. Which of the following is the least?
A. 0.105
B. 0.501
C. 0.015
D. 0.15
9. The average weight for a group of 20 women is 130
pounds. If the average weight for 3/4
of these women was 140 pounds, what was the average weight, in pounds, for the
rest of the women?
A. 100
B. 110
C. 120
D 135
Elementary Algebra
There are three categories in the Elementary Algebra Test
Operations with integers and rational numbers:
° computation with integers and negative rationals,
° the use of absolute values, and ordering.
Operations with algebraic expressions.
° evaluation of simple formulas
° expressions, and adding
° subtracting monomials and polynomials,
° the evaluation of positive rational roots and exponents,
° simplifying algebraic fractions, and factoring.
Equation solving, inequalities, and word problems
° solving verbal problems presented in algebraic context
° geometric reasoning
° the translation of written phrases into algebraic expressions
° graphing.
Samples
1. If a number is divided by 4, and then 3 is subtracted, the result is 0. What
is the number?
A. 12
B. 4
C. 3
D. 2
2. 16X - 8
A. 8x
B. 8 (2x-x)
C. 8 (2x-1)
D. 8 (2x-8)
3. If X^2 - X - 6 = 0 then X is:
A. -2 or 3
B. -1 or 6
C. 1 or -6
D. 2 or -3
4. 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?
A. A+B
B. 25(A+B)
C. 10A + 15B
D. 15A + 10 B
College-Level Mathematics
The College-Level mathematics test assesses proficiency
from intermediate algebra through precalculus. The categories
covered include:
Algebraic operations
° simplifying rational algebraic expressions
° factoring and expanding polynomials
° manipulating roots and exponents
Solutions of equations and inequalities
° the solution of linear and quadratic equations by factoring
° expanding polynomials,
° manipulating roots and exponents
Coordinate geometry
° plane geometry
° the coordinate plane, straight lines, conics, sets of points in a plane
° graphs of algebraic functions
Application and other algebra topics
° complex numbers
° series and sequences
° determinants, permutations
° combinations, fractions
° word problems
Functions and trigonometry
° polynomial, algebraic, exponential, logarithmic functions
° trigonometric functions.
Samples
1. If f (x) = X^4-x+2, then f (-x) =
2. The equation x^2+2ix-4=0 has as its roots
