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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. The total of two or more numbers being added
dividend
sum
median
When to use the Heavy Division Shortcut - and how to do it

2. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
range
from left to right

3. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
Change / Original Formula?
quadrilateral
Sum of Interior Angles of a Polygon: (n - 2) x 180
mixed fraction

4. What are the only prime factors that a fraction resulting in a terminating decimals have?
factoring
2 and/or 5 only
lowest terms
composite number

5. 3/2 - 8/3 - -16/5 - 7/7
To add integers that have opposite signs:
improper fractions
Number Systems
Species

6. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Species
product
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

7. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
The rule for adding negative integers is the same as the rule for adding positive integers:
quadrilateral
Quantity is expressed

8. Two angles whose sum is 180 degrees
Adding negative integers will always produce a negative sum
Negative-value integers
supplementary angles
Wage Rate ($ per hr) x Hrs worked

9. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
Involves: 1. Picking numbers for all or most of the unknowns in the problem 2. Using those numbers to calculate the Answer (i.e. the Target) to the problem 3. Plugging in each number you've picked into each answer choice to see which answer choice yi
To square an equation to solve it
product
change the operation from subtraction to addition

10. A number is increased by 25%... what must you reduce the new number by to get the old number again?
cross product
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
Axiom V.
The concept of trading decimal places and how it works

11. A number with only two factors: the number itself and one.
complementary angle
prime number
reciprocal
prime factors

12. A ratio that compares two different types of quantities
Unknown quantities
proper fraction
rate
cross product

13. The lower number in a fraction is the
denominator
obtuse angle
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
from left to right

14. Two angles whose sum is 180 degrees
mean
supplementary angles
proper fraction
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

15. To indicate the addition operation- to indicate a positive integer value
Whole Numbers
A plus sign (+) is used for two entirely different purposes:
Wage Rate ($ per hr) x Hrs worked
mean

16. What is the increment of a set of consecutive integers?
1
mean
exactly the same portion
percent

17. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
2 and/or 5 only
Odd
The rule for adding negative integers is the same as the rule for adding positive integers:
(Last - First + 1)

18. Change/Original = New
obtuse angle
Percent Change
simplify
Reducing: The Brute-Force Method

19. The largest integer that can be divided evenly into both the numerator and denominator.
Reducing by the Largest Common Factor (LCF)
Equality
equal to 1 divided by that number with a positive exponent
unit ratio

20. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Unit Price x Qty. Sold
pi
Arithmetic - Music - Geometry and Astronomy
obtuse angle

21. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
Magnitude
Positive-value integers
A = (D1 x D2) / 2
circumference

22. Things are Equal in Magnitude when they are
referred to the same Unit
Both
denominator
Proof

23. Every lesser number is contained in a greater more than once.
Axiom VIII.
The concept of trading decimal places and how it works
Computation
Being divided by a power of 10

24. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Mathematics
pentagon
Step 1 of Converting Improper Fractions to Mixed Numbers
Species

25. A number that when multiplied by itself results in the original number
median
square root
Shift DP 2 places right
Is zero

26. Any number with an exponent of 1
prime factors
equal to itself.
Arithmetic - Music - Geometry and Astronomy
contains only a single number

27. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Even and Odd
Number
Proof
Long Division

28. Includes an integer as well as a fractional part
least common multiple (LCM)
mixed fraction
quadrilateral
prime factors

29. In order to understand and use exponents that are fractions or decimals - you must first know about
roots of numbers
range
Even
equivalent

30. Use to cancel factors. - Also fractions are the best way of exactly expressing proportions that don't have clean decimal equivalents such as 1/7. In some cases it might be easier to compare a bunch of fractions by giving them all a common denominator
product
When to use fractions
commutative law of multiplication
prism

31. 1 to any power is equal to
mixed fractions
1
sum
common factor

32. Method: convert Decimal to Percent?
Shift DP 2 places left
A minus sign ( - ) is used for two entirely different purposes:
Shift DP 2 places right
Axiom VI.

33. Unit Profit = ?
Sale Price - Unit Cost
Number
acute angle
Whole

34. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
range
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
proper fraction
perimeter

35. Odd x ? = Even
difference
Even
y-axis
ratio

36. A line segment that passes through the center of a circle and has its endpoints on the circle
diameter
Percent Decrease Formula
Odd
Odd

37. In a group of values - the value that occurs most often
mode
circumference
When to use the Heavy Division Shortcut - and how to do it
ratio

38. What are the 2 'percent change' equations?
circumference
prime factors
x-coordinate
Original + Change = New Change/Original = Percent Change

39. A polygon with six sides.
hexagon
Even div. by 4
To add integers that have opposite signs:
Unit Price x Qty. Sold

40. What is the formula forCounting consecutive multiples?
unit ratio
A = (D1 x D2) / 2
Inserting a zero at the right end of a whole number
( (Last - First) / Increment ) + 1

41. By the last letters (u - x - y - etc.)
exactly the same portion
Known quantities
Axiom II.
0.625

42. All the positive whole numbers
median
prism
integer values
dividend

43. The horizontal number line of a coordinate graph
x-axis
both integers are positive or both are negative
Even
complementary angle

44. The number being multiplied is called the
Proof
putting that number over 1
multiplicand
vertex (vertices - plural)

45. What are the rules for picking numbers in VICS?
1. Never pick 1 or 0 - or 100 for % VICS 2. All numbers you pick must be Different 3. Pick SMALL numbers 4. Try to pick PRIME numbers 5. Avoid picking numbers that are COEFFICIENTS in several answer choices
Original x (1 - x/100) = New
x/100
supplementary angles

46. The upper number in a fraction is the
acute angle
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point
numerator
scale drawing

47. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
Multitude
5/8
A minus sign ( - ) is used for two entirely different purposes:
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New

48. An eight-sided polygon
Odd or Non-Int
octagon
x-coordinate
congruent

49. Lines in the same plane that do not intersect. The symbol //
parallel lines
A = (D1 x D2) / 2
Odd
Original x (1 - x/100) = New

50. Factors may be multiplied in any order.
Aliquant Part
commutative law of multiplication
product
Step 2 of Converting mixed numbers to improper fractions