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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. When the factors of a number are all prime numbers - the factors are said to be the
prime factors
Even div. by 4
More
Being divided by a power of 10
2. Two or more fractions that have the same denominator
like fractions
square root
mean
prime number
3. The two kinds of parts
Even div. by 4
unit ratio
Aliquot and Aliquant Parts
Quantity is expressed
4. What's the reciprocal of v6 - and why?
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
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
x-coordinate
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
5. The numerator is greater than - or equal to - the denominator
common factor
improper fraction
contains only a single number
area
6. Why are Even Exponents dangerous?
equal to 1 divided by that number with a positive exponent
Percent Decrease Formula
When to use the Heavy Division Shortcut - and how to do it
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
7. Total Sales or Revenue = ?
Unit Price x Qty. Sold
probability
fraction or broken number
scale drawing
8. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
equal to itself.
improper fractions
least common multiple (LCM)
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
9. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?
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10. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
axiom
simplify
'six cubed'
circumference
11. A number that is a multiple of all denominators in a problem.
the denominator of the original improper fraction
common denominator
proper fraction
simplify
12. 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.
factor
Long Division
higher terms
product
13. The two kinds of Multitude
Absolute and Relative
difference
Inequality
62.5%
14. 5/8 --> Decimal ?
Original + Change = New Change/Original = Percent Change
referred to the same Unit
rhombus
0.625
15. 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
unit ratio
Percent Decrease Formula
axiom
16. The largest single factor for two or more numbers.
fraction or broken number
Odd
right triangle
greatest common factor (GCF)
17. Lines in the same plane that do not intersect. The symbol //
circumference
parallel lines
y-coordinate
referred to Unity in the same way
18. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
proper fractions
Odd
Equal
like fractions
19. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
when there are explicit or implicit equations in the problem:
sum
Same units
vertex (vertices - plural)
20. Signs of grouping may be nested
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
enclosing the numbers in a pair of vertical lines | |
axiom
Odd
21. Every number is contained in itself once.
Even
Axiom VII.
improper fraction
reduced fraction
22. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
whether the addends have the same sign or opposite signs
change the operation from subtraction to addition
Negative-value integers
enclosing the numbers in a pair of vertical lines | |
23. Switch to a number-picking strategy
cubed
Alternative to the algebraic manipulation method to solving a VIC
Terminating decimal
rhombus
24. 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.
quotient
improper fraction
Converting mixed numbers to improper fractions.
Non-Int
25. An angle measuing more than 0 degrees and less than 90 degrees
simplify
0
acute angle
equal to 1
26. A parallelogram with four right angles
prime number
rectangle
Homogenous or Heterogenous
The concept of trading decimal places and how it works
27. Two numbers listed in a specific order; it describes a point on the coordinate graph
ratio
1 and itself
before solving
ordered pair
28. No integer (except 1) that divides evenly into both the numerator and denominator.
Revenue ($) - Cost ($)
expression
lowercase letters
reduced fraction
29. The number doing the dividing is called the
1 and itself
Axiom X.
divisor
mean
30. The process of breaking a number down into its factors is called
farther to the left on the number line
2
factoring
When to use the Heavy Division Shortcut - and how to do it
31. ' x percent' = ?
Reducing: The Brute-Force Method
multiplicand
unit ratio
x/100
32. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
Composite number
Absolute and Relative
base
median
33. Every quantity is equal to itself.
Axiom II.
exponent
pi
product
34. Is equal to the original value. a x 1 = 1
Any value multiplied by one
Power notation
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
Different Units
35. The distance around a figure
Carry the 10's digit of the product to the top of the 10's column of factors.
range
x-coordinate
perimeter
36. What is the increment of a set of consecutive integers?
perimeter
1
mixed fraction
Step 1 of Converting Improper Fractions to Mixed Numbers
37. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
'six cubed'
Original x (1 - x/100) = New
Step 2 of Converting mixed numbers to improper fractions
improper fraction
38. A fraction with all common factors (other than 1) factored out of the numerator and denominator
Relative multitude
circumference
lowest terms
Reducing by the Largest Common Factor (LCF)
39. The Sum of n consecutive integers is Not divisible by n if n is
right triangle
Even
mixed number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
40. A self-evident statement - that is - one that does not need to be demonstrated.
Whole Numbers
axiom
square unit
(Last - First + 1)
41. Sale Price = ?
The height of a triangle
factor
Unit Cost + Markup
order of operations
42. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
numerator
Multitude
commutative law of multiplication
fraction or broken number
43. All whole numbers (both positive and negative) and zero.
denominator
hexagon
diameter
integers
44. By the last letters (u - x - y - etc.)
Even - Odd or Non-Int
numerator
Even or Non-Int
Known quantities
45. Having the same value
composite number
least common multiple (LCM)
equivalent
acute angle
46. Reversed position or direction
inverse
ratio
Odd
trapezoid
47. The upper number in a fraction is the
x-axis
rectangle
numerator
Axiom V.
48. Original x (1 - x/100) = New
When the addends have opposite signs one is + and the other is -
Percent Decrease Formula
perimeter
Inequality
49. Having the same size and shape
order of operations
congruent
Reducing: The Brute-Force Method
octagon
50. A solid figure with two congruent and parallel circular bases
UnitPrice ($/unit) x Qty.Purchas'd (units)
Greater
cylinder
1
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