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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. Zero divided by any whole number (except 0)
Revenue ($) - Cost ($)
The sum of all the integers from 20 to 100 - inclusive
Is zero
multiplicand

2. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
Odd
both integers are positive or both are negative
whether the addends have the same sign or opposite signs
probability

3. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
lowercase letters
congruent
More
The bottom side of the triangle

4. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
hexagon
Proof
Different Units

5. Method: convert Percent to Decimal?
factoring
circumference
Shift DP 2 places left
reflection

6. The action of the mind whereby a quantity is measured by Unity or a Unit.
rectangle
Terminating decimal
A plus sign (+) is used for two entirely different purposes:
Computation

7. To find the units digit of a product - or a sum of integers - Only pay attention to the units digit of the numbers you're working with. Drop any other digits. This shortcut works because only units digits contribute to the units digit of the product.
How the Last Digit Shortcut works
To add integers that have opposite signs:
Carry the 10's digit of the product to the top of the 10's column of factors.
y-axis

8. Any whole number can be expressed in terms of the
Power notation
product
Axiom X.
Species

9. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
2
integer or whole number
When you are absolutely sure the variable or expression <> 0
angle

10. If there are 3 Even integers in a set of integers being multiplied together - what is the result divisible by (in terms of power/base)? e.g. 2 x 5 x 6 x 10 = 600 E x O x E x E = div. by 23
2^3 = 8
vertex (vertices - plural)
cylinder
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

11. The ratio of a number to 100 (per one hundred); the symbol %
When the addends have the same sign both + or both -
More
numerator
percent

12. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
common factor
A = (Base x Height) / 2 - A = (BH)/2
A = (D1 x D2) / 2
Even

13. A triangle with sides of different lengths and no two angles are the same
acute angle
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?
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
scalene triangle

14. Where do fractions occur on a number line?
improper fraction
Fractions allow you to plot values between whole numbers and integers.
sample
lowercase letters

15. When will a decimal Not terminate and why?
theorem
radius
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
mixed number

16. A ratio that shows the cost per unit of measure
Even and Odd
unit ratio
putting that number over 1
perimeter

17. Things are Equal in Magnitude when they are
equivalent
hexagon
A = (Base x Height) / 2 - A = (BH)/2
referred to the same Unit

18. Change/Original = New
To convert any fraction to higher terms
parallelogram
numerator
Percent Change

19. Two angles whose sum is 180 degrees
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
octagon
supplementary angles
octagon

20. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Different Units
To convert any fraction to higher terms
Axiom IX.
Even

21. What is the formula forCounting consecutive integers?
(Last - First + 1)
Shift DP 2 places right
When numbers do not divide evenly
rate

22. 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.
denominator
Inserting a zero at the left end of a whole number
'six cubed'
x-coordinate

23. The number being multiplied is called the
Axiom VIII.
To make sure to solve for Both cases.
polygon
multiplicand

24. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
prism
To add integers that have opposite signs:
inverse
enclosing the numbers in a pair of vertical lines | |

25. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
prime number
lowercase Variables
The concept of trading decimal places and how it works
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

26. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
straight angle
Even div. by 4
A sum of 2 primes is Odd

27. One of those primes must be the number __ ?
The concept of trading decimal places and how it works
2
Even
A sum of 2 primes is Odd

28. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
fraction or broken number
dividend
To add integers that have the same sign (both positive or both negative):
median

29. Having the same size and shape
Both
2
Different Units
congruent

30. How many Even primes are there?
vertex (vertices - plural)
mixed fraction
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
One... the number 2

31. Basic Number Properties and elementary operations.
Decimals/Percents
Even
Number Systems
difference

32. 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
pi
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
The sum of all the integers from 20 to 100 - inclusive
0.625

33. A polygon that has four sides
Greater
The Decimal Numbering System
1 and itself
quadrilateral

34. Cross-multiply
Greater
To find out - easily - if one fraction is bigger than another
Aliquot and Aliquant Parts
Step 1 of Converting Improper Fractions to Mixed Numbers

35. A value such as 6^3 can described as

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36. A unit for measuring area
Being divided by a power of 10
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.
square unit
mode

37. Every number is contained in itself once.
Axiom VII.
Axiom X.
parallelogram
reflection

38. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
Even or Non-Int
To square an equation to solve it
dividend
Even div. by 4

39. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
Known quantities
radius
vertex (vertices - plural)
Even - Odd or Non-Int

40. In a group of values - the value that occurs most often
vertex (vertices - plural)
62.5%
mode
integers

41. A fraction with all common factors (other than 1) factored out of the numerator and denominator
There are two parts in the procedure for subtracting signed integers:
roots of numbers
lowest terms
probability

42. Factors may be multiplied in any order.
Wage Rate ($ per hr) x Hrs worked
Even
Relative multitude
commutative law of multiplication

43. 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.
1
prime number
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
vertex (vertices - plural)

44. 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 integ
divisor
Subtracting Signed Integers
before solving
numerator

45. What are the 2 'percent change' equations?
Long Division
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
least common multiple (LCM)
Original + Change = New Change/Original = Percent Change

46. Always perform combinations of multiplication and division before
parallelogram
combination of addition and subtraction
prime factorization
square unit

47. By the first letters of the alphabet (a - b - c - d - etc..)
Unknown quantities
proper fraction
x = (+-) a
When to use fractions

48. A polygon with five sides
Sale Price - Unit Cost
Wage Rate ($ per hr) x Hrs worked
Unity - or a Unit
pentagon

49. The distance around a figure.
sample
lowest terms
perimeter
quadrilateral

50. What are the properties of the diagonals of a Rhombus?
Decimals/Percents
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
equal to 1 divided by that number with a positive exponent
exponent

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CLEP General Mathematics: Arithmetic Basics

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