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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
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. A number with an exponent of 3 is often said to be
proper fraction
cubed
the same point on the number line
1
2. The whole-number part of the mixed number is the whole-number part of the
octagon
radius
quotient
The height of a triangle
3. The formula for the Area of a Rhombus is?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
A = (Diagonal1 x Diagonal2) / 2
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.
Is equal to the original value
4. The number being divided is called the
multiplier
dividend
sum
Converting mixed numbers to improper fractions.
5. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
equivalent
Evaluating Powers With Negative Exponents
reciprocal
right triangle
6. One number is said to be greater than (>) another when it is
farther to the right on the number line.
order of operations
Unity - or a Unit
(Last - First + 1)
7. Factors may be multiplied in any order.
always clear the innermost groups first
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
commutative law of multiplication
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
8. To indicate the addition operation- to indicate a positive integer value
A plus sign (+) is used for two entirely different purposes:
Parts
The Ratio of Any two of the following: Original - Change and New
mean
9. The horizontal number line of a coordinate graph
cylinder
fraction or broken number
Revenue ($) - Cost ($)
x-axis
10. Two numbers listed in a specific order; it describes a point on the coordinate graph
y-axis
Wage Rate ($ per hr) x Hrs worked
Unit Price x Qty. Sold
ordered pair
11. An angle measuing more than 0 degrees and less than 90 degrees
Axiom IV.
The sum of all the integers from 20 to 100 - inclusive
acute angle
straight angle
12. A whole number that has only one set of factors - itself and 1.
prime number
Multitude
area
farther to the right on the number line.
13. The largest single factor for two or more numbers.
circumference
Shift DP 2 places right
greatest common factor (GCF)
When to use fractions
14. 0 to any power is equal to
Odd or Non-Int
divisor
0
Whole Numbers
15. The Sum of n consecutive integers is divisible by n if n is
Odd
obtuse angle
Known (Given) and Unknown (Sought)
perimeter
16. Odd x ? = Even
x/100
Even
Even div. by 4
Original + Change = New Change/Original = Percent Change
17. The two kinds of Magnitude are
Odd
Magnitude at Rest and Magnitude in Motion
When numbers do not divide evenly
combination of addition and subtraction
18. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
circumference
To square an equation to solve it
Subtracting Signed Integers
19. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 1 of Converting mixed numbers to improper fractions
Step 2 of Converting mixed numbers to improper fractions
prism
improper fraction
20. The difference between the least and greatest values in a set of numbers.
complementary angle
range
Decreases
least common multiple (LCM)
21. Having the same size and shape
straight angle
Even - Odd or Non-Int
Line Segments
congruent
22. A polygon that has four sides
Step 2 of Converting Improper Fractions to Mixed Numbers
lowest terms
polygon
quadrilateral
23. 1 to any power is equal to
1
proportion
octagon
improper fractions
24. The two kinds of parts
Even
Sum of Interior Angles of a Polygon: (n - 2) x 180
Long Division
Aliquot and Aliquant Parts
25. Change/Original = New
ordered pair
Composite number
Percent Change
x-coordinate
26. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
Always completed first
Unknown quantities
mode
27. The absolute value of the numerator is smaller than the absolute value of the denominator.
supplementary angles
proper fraction
mixed fractions
Relative multitude
28. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
right angle
exponent
Even or Non-Int
Odd
29. Or demonstration - is a connection of arguments used to demonstrate the truth or falsehood of a statement.
Step 1 of Converting Improper Fractions to Mixed Numbers
Proof
UnitPrice ($/unit) x Qty.Purchas'd (units)
2
30. Any number with an exponent of 0
equal to 1
prism
Converting mixed numbers to improper fractions.
Fractions allow you to plot values between whole numbers and integers.
31. If 2 numbers are OPPOSITES of each other
prime number
they have the same absolute value
factor
Shift DP 2 places right
32. Figures that have the same shape but different sizes; their sides are proportional - while their corresponding angles are equal
referred to the same Unit
least common multiple (LCM)
farther to the right on the number line.
similar figures
33. The absolute value of the numerator is greater than - or equal to - the absolute value of the denominator.
To find out - easily - if one fraction is bigger than another
improper fraction
equal to 1 divided by that number with a positive exponent
radius
34. A term that expresses quantity definitely and particularly - such as one - five - seven - and so on.
Number
referred to Unity in the same way
prime factorization
A plus sign (+) is used for two entirely different purposes:
35. Any value divided by one
When the addends have the same sign both + or both -
Is equal to the original value
It means that n is Odd. This is because the sum of n consecutive integers divided by n is the average/mean of that set of integers. Because the average is itself an integer - n can only be odd. This is because the average of an odd number of consecut
prism
36. 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.
putting that number over 1
Inequality
prism
vertex (vertices - plural)
37. Signs of grouping may be nested
Odd
Zero multiplied by any value
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Unknown quantities
38. A Polygon is a closed shape formed by
(Last - First + 1)
improper fractions
vertex (vertices - plural)
Line Segments
39. An evenly-spaced set is fully-defined if what is known...?
obtuse angle
Whole
radius
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
40. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
Even
Odd
Fractions allow you to plot values between whole numbers and integers.
Percent Change
41. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
Increases the value.
Step 1 of Converting Improper Fractions to Mixed Numbers
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?
inverse operations
42. When working with nested signs of grouping
always clear the innermost groups first
x/100
To add integers that have opposite signs:
product
43. Species and Number may be
Unknown quantities
1 and itself
referred to Unity in the same way
Homogenous or Heterogenous
44. A mathematical sentence that uses an equal sign
( (Last - First) / Increment ) + 1
equation
x-axis
Converting Improper Fractions to Mixed Numbers
45. Original x (1 - x/100) = New
Line Segments
Percent Decrease Formula
Sale Price - Unit Cost
x = (+-) a
46. The terms Species and Number
The rule for adding negative integers is the same as the rule for adding positive integers:
fraction or broken number
dividend
Quantity is expressed
47. Total Earnings ($) = ?
x-axis
lowercase Variables
pi
Wage Rate ($ per hr) x Hrs worked
48. A sign of grouping can be omitted when it
Converting Improper Fractions to Mixed Numbers
rectangle
they have the same absolute value
contains only a single number
49. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Decimals/Percents
putting that number over 1
Homogenous or Heterogenous
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
50. Species are distinguished into
Known (Given) and Unknown (Sought)
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.
prime number
perimeter