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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 polygon that has four sides.
Alternative to the algebraic manipulation method to solving a VIC
quadrilateral
Even - Odd or Non-Int
farther to the right on the number line.
2. A parallelogram with all sides equal and congruent
Even - Odd or Non-Int
multiplier
rhombus
integer values
3. The number being multiplied is called the
The Decimal Numbering System
multiplicand
percent
y-coordinate
4. Includes an integer as well as a fractional part
mixed number
Carry the 10's digit of the product to the top of the 10's column of factors.
equilateral triangle
x-coordinate
5. The two kinds of Multitude
Absolute and Relative
diameter
1 - (y/100)
Magnitude
6. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
y-coordinate
There are two parts in the procedure for subtracting signed integers:
referred to Unity in the same way
prime number
7. Is a part which - being repeated a number of times - always exceeds or falls short of the whole - as 5 is of the numbers 8 and 12.
Wage Rate ($ per hr) x Hrs worked
from left to right
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
Aliquant Part
8. Change/Original = New
Percent Change
common factor
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
dividend
9. The absolute value of the numerator is smaller than the absolute value of the denominator.
circumference
Odd
proper fraction
Inserting a zero at the right end of a whole number
10. What are the 3 main formulaic properties of evenly-spaced sets?
Equality
absolute value
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
Original + Change = New Change/Original = Percent Change
11. Original x (1 - x/100) = New
Percent Decrease Formula
x-axis
Equal
Original + Change = New Change/Original = Percent Change
12. 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.
quadrilateral
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
A sum of 2 primes is Odd
Same units
13. Even X Even = ? ... and is div. by ?
dividend
Even div. by 4
Relative multitude
sum
14. The denominator of the fraction part of the mixed number is
To add integers that have the same sign (both positive or both negative):
reflection
prime number
the denominator of the original improper fraction
15. A parallelogram with four right angles
rectangle
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
product
Original + Change = New Change/Original = Percent Change
16. Does not affect its value at all. Zeros that are used at the left end of a number are called leading zeros - and are used only for special reasons.
Inserting a zero at the left end of a whole number
simplify
Quantity
improper fraction
17. An equation stating that two ratios are equal
squared
proportion
Axiom IX.
cross product
18. Multiply the numerator of a positive - proper fraction by 1/2 Explain why this is true: True because: When you square a variable x - the result is positive - no matter what the sign of the base.Remember - even exponents hide the sign of the base. The
A sum of 2 primes is Odd
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
Absolute and Relative
lowest terms
19. What is the formula for: The Area of a Triangle ?
0.625
A = (Base x Height) / 2 - A = (BH)/2
similar figures
equation
20. Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient. The numerator of the fraction part of the mixed number is the remainder from the quotient. The denominator of the fraction part of the mixe
octagon
enclosing the numbers in a pair of vertical lines | |
Axiom III.
Step 2 of Converting Improper Fractions to Mixed Numbers
21. The difference between the least and greatest values in a set of numbers.
Step 2 of Converting mixed numbers to improper fractions
Odd
range
More
22. 0.625 --> Fraction ?
Some integer/Some Power of 10
Shift DP 2 places right
equilateral triangle
5/8
23. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed intege
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
There are two parts in the procedure for subtracting signed integers:
the Complement of that part to the whole
probability
24. Species are distinguished into
Known (Given) and Unknown (Sought)
x = (+-) a
When you are absolutely sure the variable or expression <> 0
prime number
25. A number with an exponent of 2 is often said to be
squared
mixed number
factoring
Alternative to the algebraic manipulation method to solving a VIC
26. A triangle that has three equal sides and three equal angles
Positive-value integers
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
equilateral triangle
equation
27. The action of the mind whereby a quantity is measured by Unity or a Unit.
Computation
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
putting that number over 1
Any value multiplied by one
28. Always perform combinations of multiplication and division before
UnitPrice ($/unit) x Qty.Purchas'd (units)
the Complement of that part to the whole
inverse
combination of addition and subtraction
29. Things are Equal in Multitude when they are
congruent
x-axis
referred to Unity in the same way
Parts
30. 5/8 --> Decimal ?
square root
composite number
0.625
Some integer/Some Power of 10
31. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Being divided by a power of 10
prime factorization
reflection
inverse operations
32. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
proper fractions
reflection
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
33. Things are Equal in Magnitude when they are
referred to the same Unit
Even div. by 4
Equality
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
34. A self-evident statement - that is - one that does not need to be demonstrated.
radius
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.
axiom
pyramid
35. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
theorem
range
Magnitude
Sum of Interior Angles of a Polygon: (n - 2) x 180
36. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
( (Last - First) / Increment ) + 1
radius
Mathematics
mixed fractions
37. Quantities which are both equal to one and the same third are equal to one another.
rate
prime number
pentagon
Axiom III.
38. Is the disagreement of things in Quantity.
Decimals/Percents
Subtracting Signed Integers
Quantity is expressed
Inequality
39. Odd x ? = Even
rectangle
contains only a single number
commutative law of multiplication
Even
40. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
acute angle
To add integers that have opposite signs:
Proof
The Ratio of Any two of the following: Original - Change and New
41. The Sum of n consecutive integers is divisible by n if n is
Unity - or a Unit
simplify
Odd
Line Segments
42. An angle that measures 180 degrees
Even
Proof
Axiom VI.
straight angle
43. TotalCost($) = ?
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on line
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44. Unit Profit = ?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
divisor
Sale Price - Unit Cost
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
45. What is the perimeter of a Polygon?
vertex (vertices - plural)
To add integers that have the same sign both positive or both negative:
Sale Price - Unit Cost
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
46. What is the formula forCounting consecutive multiples?
exponent
Axiom III.
( (Last - First) / Increment ) + 1
multiplicand
47. Total Sales or Revenue = ?
Adding negative integers will always produce a negative sum
integers
Any value multiplied by one
Unit Price x Qty. Sold
48. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
equation
straight angle
x-axis
49. Change + - Original = New
Change / Original Formula?
When numbers do not divide evenly
1 and itself
Converting mixed numbers to improper fractions.
50. The Sum of n consecutive integers is Not divisible by n if n is
percent
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
dividend
Even