Test your basic knowledge |

CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. Surface space that is measured in square units
Axiom VI.
area
Terminating decimal
from left to right

2. What is the result of Adding or Subtracting and Odd with an Even (or an Even with an Odd)? e.g. 7 + 8 = 15 e.g. 13 - 2 = 11
order of operations
Odd
Quantity is expressed
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

3. The ratio of a number to 100 (per one hundred). The symbol %
Every integer between 1 and X - inclusive - must be a factor of X
prime factorization
percent
sample

4. A whole number can be expressed as an improper fraction by
integer or whole number
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
putting that number over 1
median

5. An angle that measures 180 degrees
To take a power or a root of a decimal?Split the decimal into 2 parts: an integer - and a power of ten...You can take a shortcut by counting decimal places. For example - the number of decimal places in the result of a cubed decimal is 3 times the nu
factors of the multiplication operation
scalene triangle
straight angle

6. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
they have the same absolute value
trapezoid
2

7. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Look at the numerator... This will give you the repeating digits (perhaps with leading zeroes) if the denominator of the fraction is 1 less than a power of 10.
Aliquot Part
reciprocal
Being divided by a power of 10

8. When performing routine arithmetic operations with fractions - it is often necessary to convert a fraction to higher terms. This means you multiply both the numerator and denominator by a particular integer value.
simplify
higher terms
quadrilateral
composite number

9. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Homogenous or Heterogenous
Evaluating Powers With Negative Exponents
change the operation from subtraction to addition
Fractions allow you to plot values between whole numbers and integers.

10. One number is said to be less than (<) another when it is
diameter
Wage Rate ($ per hr) x Hrs worked
farther to the left on the number line
simplify

11. A value that combines a whole number and a fractional amount
Zero multiplied by any value
To add integers that have the same sign (both positive or both negative):
mixed number
Every integer between 1 and X - inclusive - must be a factor of X

12. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
common denominator
from left to right
quotient

13. Dividing by two digit numbers - Make use of estimation to assist in finding the quotient. Do this by rounding both the target digits of the dividend and the factoring divisor.
Long Division
when there are explicit or implicit equations in the problem:
simplify
Even or Non-Int

14. Any value divided by one
x-coordinate
Unit Cost + Markup
y-coordinate
Is equal to the original value

15. To make a fraction easier to work with by taking out common factors
simplify
squared
unit ratio
median

16. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
factors of the multiplication operation
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Axiom I.
referred to Unity in the same way

17. The terms Species and Number
Some integer/Some Power of 10
Terminating decimal
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Quantity is expressed

18. Multiplying several Even integers together results in higher and higher powers of ...? Because each even number will contribute at LEAST one 2 to the factors of the product
x/100
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
2
1

19. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Sale Price - Unit Cost
x-axis
The rule for adding negative integers is the same as the rule for adding positive integers:
Even or Non-Int

20. An equation stating that two ratios are equal
proportion
Being divided by a power of 10
Axiom VIII.
rate

21. A mirror image of a figure shown over a line of reflection
reflection
Original + Change = New Change/Original = Percent Change
equivalent
prism

22. Multiply both the numerator and denominator by the same integer value.
To convert any fraction to higher terms
Even
Odd
When numbers do not divide evenly

23. The two kinds of Quantity are
common denominator
Odd
Multitudes and Magnitudes
Mathematics

24. The whole-number part of the mixed number is the whole-number part of the
Reducing: The Brute-Force Method
quotient
Change + - Original = New
Odd

25. A ratio that shows the cost per unit of measure
the Complement of that part to the whole
When to use fractions
unit ratio
octagon

26. A Polygon is a closed shape formed by
putting that number over 1
mixed fractions
Line Segments
mode

27. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
Axiom X.
Quantity is expressed
equal to itself.
referred to the same Unit

28. Lines in the same plane that do not intersect. The symbol //
mean
UnitPrice ($/unit) x Qty.Purchas'd (units)
whether the addends have the same sign or opposite signs
parallel lines

29. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Multitude
quadrilateral
Equality
Converting Improper Fractions to Mixed Numbers

30. A comparison of the two values of two numbers
Zero (0)
mode
denominator
ratio

31. Total Sales or Revenue = ?
Unit Price x Qty. Sold
radius
x-coordinate
Quantity is expressed

32. A number that is a multiple of all denominators in a problem.
Whole Numbers
To add integers that have the same sign (both positive or both negative):
common denominator
'five squared'

33. Profit = ?
Revenue ($) - Cost ($)
cross product
range
numerator

34. Any number with a negative exponent
equal to 1 divided by that number with a positive exponent
A = (Base x Height) / 2 - A = (BH)/2
Odd
lowercase letters

35. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
cross product
numerator
Unit Price x Qty. Sold
x-coordinate

36. A polygon with five sides
Converting mixed numbers to improper fractions.
radius
The concept of trading decimal places and how it works
pentagon

37. What are the 3 main formulaic properties of evenly-spaced sets?
1. Arithmetic Mean (Ave.) = Median ... you can find out the ave. by figuring out the Median (i.e. MIDDLE number) 2. Mean & Median = (First + Last terms) / 2... i.e. the average of the First and Last terms 3. Sum(Elements in Set) = Ave. x #Elements
0.625
similar figures
divisor

38. Odd x ? = Even
one is positive and the other is negative
octagon
Even
contains only a single number

39. The result of the multiplication is called the
One... the number 2
complementary angles
equal to 1
product

40. Expresses fractional parts that are greater than 1.
Sum of Interior Angles of a Polygon: (n - 2) x 180
mixed number
factor
(Last - First + 1)

41. One of those primes must be the number __ ?
dividend
Known (Given) and Unknown (Sought)
A sum of 2 primes is Odd
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

42. If 2 numbers are OPPOSITES of each other
Unit Price x Qty. Sold
prism
they have the same absolute value
Evaluating Powers With Negative Exponents

43. Two angles whose sum equals 90 degrees.
numerator
Step 2 of Converting mixed numbers to improper fractions
complementary angles
To convert any fraction to higher terms

44. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
factor
A = (D1 x D2) / 2
Converting Improper Fractions to Mixed Numbers
Whole Numbers

45. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
factor
Absolute and Relative
A = (Base x Height) / 2 - A = (BH)/2

46. Signs of grouping may be nested
mean
To find out - easily - if one fraction is bigger than another
Shift DP 2 places right
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]

47. A quadrilateral with two pairs of congruent - parallel sides
referred to Unity in the same way
parallelogram
mean
denominator

48. The greater any number is in comparison to another - the more equal parts will it contain of that other.
dividing the numerator and denominator by the same number
farther to the right on the number line.
Axiom IX.
improper fraction

49. By the first letters of the alphabet (a - b - c - d - etc..)
composite number
Unknown quantities
obtuse angle
Unit Price x Qty. Sold

50. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Odd
putting that number over 1
When to use the Heavy Division Shortcut - and how to do it
farther to the left on the number line