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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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Study First
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. 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.
product
Odd or Non-Int
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
2. The formula for the Area of a Rhombus is?
Sum of Interior Angles of a Polygon: (n - 2) x 180
axiom
A = (Diagonal1 x Diagonal2) / 2
sample
3. A mathematical sentence that uses an equal sign
Whole Numbers
equation
Even
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
4. In a division problem - it's the number being divided
least common multiple (LCM)
A minus sign ( - ) is used for two entirely different purposes:
product
dividend
5. The ratio of a number to 100 (per one hundred); the symbol %
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
percent
circumference
One... the number 2
6. An angle that measures 180 degrees
Parts
straight angle
from left to right
ratio
7. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
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?
Positive-value integers
y-axis
Axiom X.
8. Species and Number may be
Any value multiplied by one
improper fractions
Homogenous or Heterogenous
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
9. A self-evident statement - that is - one that does not need to be demonstrated.
Revenue ($) - Cost ($)
order of operations
axiom
mean
10. When will a decimal Not terminate and why?
cylinder
Axiom II.
improper fractions
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
11. The result of muliplying two or more numbers
ratio
like fractions
reduced fraction
product
12. In a group of values - the value that occurs most often.
mode
Odd
factoring
inverse operations
13. A mirror image of a figure shown over a line of reflection
2
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
quadrilateral
reflection
14. An angle measuring more than zero degrees and less than 90 degrees
from left to right
To make sure to solve for Both cases.
prime number
acute angle
15. A Polygon is a closed shape formed by
prism
pi
Line Segments
sample
16. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
factor
Step 2 of Converting mixed numbers to improper fractions
product
17. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
diameter
divisor
similar figures
vertex (vertices - plural)
18. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
Multitude
Converting mixed numbers to improper fractions.
y-axis
vertex (vertices - plural)
19. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
1 and itself
rhombus
5/8
Aliquot Part
20. The horizontal number line of a coordinate graph
prime number
combination of addition and subtraction
(Last - First + 1)
x-axis
21. Every lesser number is contained in a greater more than once.
Axiom VIII.
Alternative to the algebraic manipulation method to solving a VIC
Shift DP 2 places left
right triangle
22. Two numbers listed in a specific order; it describes a point on the coordinate graph
numerator
When to use fractions
ordered pair
acute angle
23. An angle measuring more than 90 degrees and less than 180 degrees
obtuse angle
The Ratio of Any two of the following: Original - Change and New
Revenue ($) - Cost ($)
Odd or Non-Int
24. The sum of a group of numbers divided by the number of numbers. Also known as the average.
mean
Zero (0)
Axiom I.
Alternative to the algebraic manipulation method to solving a VIC
25. Unit Profit = ?
Sale Price - Unit Cost
Subtracting Signed Integers
composite number
lowercase letters
26. One number is said to be less than (<) another when it is
Unknown quantities
farther to the left on the number line
factoring
cross product
27. A collection of things taken as a Unity. A bushel of wheat is a whole.
factors of the multiplication operation
Whole
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Magnitude at Rest and Magnitude in Motion
28. The upper number in a fraction is the
greatest common factor (GCF)
A = (Base x Height) / 2 - A = (BH)/2
rhombus
numerator
29. Cross-multiply
To find out - easily - if one fraction is bigger than another
scalene triangle
Inserting a zero at the right end of a whole number
difference
30. The largest single factor for two or more numbers.
A sum of 2 primes is Odd
greatest common factor (GCF)
always clear the innermost groups first
Terminating decimal
31. In a group of values - the value that occurs most often
scale drawing
mode
Axiom IX.
simplify
32. A comparison of the two values of two numbers
roots of numbers
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
ratio
The rule for adding negative integers is the same as the rule for adding positive integers:
33. The terms Species and Number
Zero (0)
reduced fraction
Quantity is expressed
Unit Price x Qty. Sold
34. Two numbers are said to be equal (=) when they are at
quadrilateral
quotient
denominator
the same point on the number line
35. 1.) Average the first and last term to find the median of the set (which equals the average) = (100 + 20)/2 = 60 2) Count the number of terms ( 100 - 20 + 1 = 81) 3. Sum = Ave. x Number of terms = 60 x 81 = 4860 Answer = 4860
The sum of all the integers from 20 to 100 - inclusive
greatest common factor (GCF)
Alternative to the algebraic manipulation method to solving a VIC
simplify
36. The total of two or more numbers being added
mixed number
product
sum
equivalent
37. 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
Odd
proper fractions
contains only a single number
before solving
38. An integer is its value without regard to the sign - Or is its distance from the origin (zero) on the number line.
A = (Base x Height) / 2 - A = (BH)/2
ratio
absolute value
congruent
39. Lines in the same plane that do not intersect. The symbol //
parallel lines
62.5%
mixed number
the same point on the number line
40. The distance around a figure
perimeter
composite number
dividend
Positive-value integers
41. The difference between the least and greatest values in a set of numbers.
Step 2 of Converting Improper Fractions to Mixed Numbers
base
exponent
range
42. What are the rules for picking numbers in VICS?
mean
right triangle
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
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
43. Any value divided by one
Aliquot Part
whether the addends have the same sign or opposite signs
Is equal to the original value
enclosing the numbers in a pair of vertical lines | |
44. Two angles whose sum is 180 degrees
contains only a single number
octagon
supplementary angles
A minus sign ( - ) is used for two entirely different purposes:
45. A value such as 5^2 can be called
46. Having the same size and shape
congruent
Axiom IX.
farther to the left on the number line
squared
47. What is the formula forCounting consecutive integers?
hexagon
Wage Rate ($ per hr) x Hrs worked
y-axis
(Last - First + 1)
48. Indicates the number to be multiplied
( (Last - First) / Increment ) + 1
base
congruent
prism
49. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
common denominator
The Ratio of Any two of the following: Original - Change and New
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Converting mixed numbers to improper fractions.
50. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
More
Computation
reduced fraction
supplementary angles