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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. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
integer or whole number
quotient
higher terms

2. Units that are understood under the same notion - such as a pound of stones and a pound of feathers - or an inch of string and an inch of wood.
median
Same units
Different Units
Species

3. Change/Original = New
mode
parallelogram
rectangle
Percent Change

4. A number that is a factor of two or more numbers.
diameter
Shift DP 2 places right
common factor
Known (Given) and Unknown (Sought)

5. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
composite number
Sum of Interior Angles of a Polygon: (n - 2) x 180
mixed fraction
farther to the right on the number line.

6. 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
farther to the right on the number line.
integer values
Converting Improper Fractions to Mixed Numbers
polygon

7. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
multiplicand
Zero (0)
scalene triangle
integer or whole number

8. The two kinds of Quantity are
Number Systems
To convert any fraction to higher terms
Multitudes and Magnitudes
Converting Improper Fractions to Mixed Numbers

9. An angle that measures 90 degrees
right angle
The concept of trading decimal places and how it works
vertex (vertices - plural)
cubed

10. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
y-coordinate
x/100
Axiom X.
the denominator of the original improper fraction

11. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Arithmetic - Music - Geometry and Astronomy
composite number
congruent

12. The formula for the Area of a Rhombus is?
rectangle
prime factorization
A = (Diagonal1 x Diagonal2) / 2
absolute value

13. 3/2 - 8/3 - -16/5 - 7/7
always clear the innermost groups first
improper fractions
prime number
quadrilateral

14. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
percent
multiplicand
circumference

15. The result of the division called the
Even and Odd
dividend
prism
quotient

16. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
equal to 1
Odd
Being divided by a power of 10
change the operation from subtraction to addition

17. Sale Price = ?
The rule for adding negative integers is the same as the rule for adding positive integers:
Unit Cost + Markup
What must you do in a VIC problem - using the Pick Numbers and Calculate a target strategy - when you cannot pick a value for each variable?
Increases the value.

18. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
Positive-value integers
To add integers that have the same sign both positive or both negative:
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.
octagon

19. Basic Number Properties and elementary operations.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
Number Systems
A plus sign (+) is used for two entirely different purposes:
product

20. Step 1: Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction. Step 2: Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number.
2
To add integers that have the same sign both positive or both negative:
quotient
Converting mixed numbers to improper fractions.

21. The total of two or more numbers being added
sum
the same point on the number line
Magnitude
Inequality

22. Adding integers that have opposite signs means
mixed number
one is positive and the other is negative
Unit Price x Qty. Sold
x-coordinate

23. The result of multiplying two or more numbers.
1 and itself
product
The rule for adding negative integers is the same as the rule for adding positive integers:
from left to right

24. Having the same size and shape
A minus sign ( - ) is used for two entirely different purposes:
Change / Original Formula?
equilateral triangle
congruent

25. An evenly-spaced set is fully-defined if what is known...?
To square an equation to solve it
Shift DP 2 places right
product
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

26. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Step 1 of Converting Improper Fractions to Mixed Numbers
circumference
the denominator of the original improper fraction
polygon

27. In a group of values - the value that occurs most often
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
range
One... the number 2
mode

28. A parallelogram with all sides equal and congruent
the denominator of the original improper fraction
The concept of trading decimal places and how it works
rhombus
equation

29. A polygon with six sides.
referred to Unity in the same way
Different Units
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
hexagon

30. The base of a triangle refers to?
pi
unit ratio
The bottom side of the triangle
UnitPrice ($/unit) x Qty.Purchas'd (units)

31. All whole numbers (both positive and negative) and zero.
integers
supplementary angles
Inserting a zero at the left end of a whole number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

32. For there to be X unique factors of X - what must be true?
equal to itself.
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
Being divided by a power of 10
Every integer between 1 and X - inclusive - must be a factor of X

33. Has no sign value
Change + - Original = New
Zero (0)
y-coordinate
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

34. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
improper fraction
Percent Decrease Formula
composite number
Whole Numbers

35. Operations that do the exact opposite of each other; they undo each other (addition and subtraction - for example)
right triangle
To add integers that have the same sign both positive or both negative:
Shift DP 2 places left
inverse operations

36. 3 ways to solve an absolute value inequality
prime factors
least common multiple (LCM)
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
Reducing: The Brute-Force Method

37. Reversed position or direction
inverse
the Complement of that part to the whole
Even
farther to the left on the number line

38. The distance around a figure
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
perimeter
unit ratio
Axiom IV.

39. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
The Decimal Numbering System
Greater
Percent Decrease Formula
Quantity is expressed

40. Method: convert Percent to Decimal?
Shift DP 2 places left
When you are absolutely sure the variable or expression <> 0
quotient
Same units

41. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
isosceles triangle
Negative-value integers
prism
diameter

42. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
proper fraction
denominator
prism
0

43. Original x (1 - x/100) = New
referred to Unity in the same way
diameter
Percent Decrease Formula
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

44. Two angles whose sum is 180 degrees
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
vertex (vertices - plural)
supplementary angles
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!

45. Taken together - the multiplicand and multiplier are known as
Percent Change
factors of the multiplication operation
ordered pair
x-axis

46. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
Power notation
Adding negative integers will always produce a negative sum
1
from left to right

47. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
The rule for adding negative integers is the same as the rule for adding positive integers:
Axiom VII.
Inserting a zero at the left end of a whole number
Even or Non-Int

48. What are the only prime factors that a fraction resulting in a terminating decimals have?
2 and/or 5 only
commutative law of multiplication
Step 1 of Converting mixed numbers to improper fractions
congruent

49. The sum of a group of numbers divided by the number of numbers. Also known as the average.
proportion
lowercase letters
mean
Even or Non-Int

50. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
rectangle
lowercase letters
Aliquot Part
Carry the 10's digit of the product to the top of the 10's column of factors.