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CLEP General Mathematics: Arithmetic Basics

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. Is equal to the original value. a x 1 = 1
quotient
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
Any value multiplied by one
Revenue ($) - Cost ($)

2. The result of the division called the
quotient
To find out - easily - if one fraction is bigger than another
Fractions allow you to plot values between whole numbers and integers.
rhombus

3. 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. 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
(Last - First + 1)
vertex (vertices - plural)
Multitude

4. For Data Sufficiency problems involving percent change - all you need to compute a percent change is ____ ?
Reducing fractions
prism
The Ratio of Any two of the following: Original - Change and New
( (Last - First) / Increment ) + 1

5. When the factors of a number are all prime numbers - the factors are said to be the
Long Division
divisor
prime factors
perimeter

6. A number with only two factors: the number itself and one.
Sale Price - Unit Cost
Multitude
A sum of 2 primes is Odd
prime number

7. 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
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
20% - because 5/4 = 125% and 4/5 = 80% (reciprocal of 5/4) - 80% of the new number is the old number - so you must reduce the new number by 20% to get this amount
commutative law of multiplication
improper fractions

8. The two kinds of Multitude
The Decimal Numbering System
sample
Absolute and Relative
Composite number

9. Describe the VIC solving method of Picking Numbers & Calculating a Target... When is this method useful?

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10. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
factor
The rule for adding negative integers is the same as the rule for adding positive integers:
Adding negative integers will always produce a negative sum
Multitudes and Magnitudes

11. Even X Even = ? ... and is div. by ?
reflection
Axiom X.
Even div. by 4
squared

12. A polygon with five sides
The Decimal Numbering System
prime number
A = (Base x Height) / 2 - A = (BH)/2
pentagon

13. The figure formed when two rays meet at a common endpoint called a vertex.
order of operations
( (Last - First) / Increment ) + 1
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
angle

14. A number that is not a prime number is called a
composite number
product
radius
Percent Decrease Formula

15. Things are Equal in Multitude when they are
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
referred to Unity in the same way
quotient
Alternative to the algebraic manipulation method to solving a VIC

16. Unknown quantities by the first letters of the alphabet (a - b - c - d - etc..); Known quantities by the last letters (u - x - y - etc.)
lowercase Variables
farther to the right on the number line.
product
proportion

17. Odd +/- ____ = Odd
Even
To convert any fraction to higher terms
Aliquot Part
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ

18. Two numbers are said to be equal (=) when they are at
Even
the same point on the number line
Terminating decimal
To add integers that have the same sign (both positive or both negative):

19. The sum of a group of numbers divided by the number of numbers; also known as the average
simplify
Aliquot Part
1 - (y/100)
mean

20. Part of the population that is studied to find the characteristics of the whole population.
order of operations
equal to 1
median
sample

21. Includes an integer as well as a fractional part
How the Last Digit Shortcut works
mixed fraction
Step 2 of Converting Improper Fractions to Mixed Numbers
1. By shifting the midpoint - and re-compensating... i.e. the midpoint (x) here is -1 - so you must add 1 to it to compensate. 2. find the centre of the range (the average of the endpoints) then use that to test the endpoints...3. test the end-point

22. An angle that measures 90 degrees
Proof
When you are absolutely sure the variable or expression <> 0
right angle
right triangle

23. A line segment that passes through the center of a circle and has its endpoints on the circle
When the addends have opposite signs one is + and the other is -
sample
Original + Change = New Change/Original = Percent Change
diameter

24. Odd x ? = Even
factor
Even
Same units
quadrilateral

25. What is the increment of a set of consecutive integers?
divisor
factoring
lowercase letters
1

26. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
range
greatest common factor (GCF)
y-coordinate
( (Last - First) / Increment ) + 1

27. Any value divided by one
circumference
Is equal to the original value
quotient
Shift DP 2 places left

28. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
numerator
Revenue ($) - Cost ($)
greatest common factor (GCF)
proportion

29. For there to be X unique factors of X - what must be true?
factors of the multiplication operation
divisor
acute angle
Every integer between 1 and X - inclusive - must be a factor of X

30. Is the disagreement of things in Quantity.
Increases the value.
simplify
scalene triangle
Inequality

31. When the product in the 1's column is greater than 9

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32. What's the reciprocal of v6 - and why?
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
theorem
(Last - First + 1)
improper fractions

33. Species and Number may be
Homogenous or Heterogenous
2
y-coordinate
Percent Change

34. 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
quotient
Step 2 of Converting Improper Fractions to Mixed Numbers
The height of a triangle
the same point on the number line

35. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
x-coordinate
prime number
Converting mixed numbers to improper fractions.
denominator

36. If any one Part of a Whole is assumed - then the rest of the parts are called the Complement of that part to the whole.
polygon
numerator
the Complement of that part to the whole
Alternative to the algebraic manipulation method to solving a VIC

37. A sign of grouping can be omitted when it
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
2
contains only a single number
1 - (y/100)

38. The whole is more or greater than its part.
'six cubed'
Odd
Some integer/Some Power of 10
Axiom IV.

39. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
A sum of 2 primes is Odd
Shift DP 2 places right
Aliquant Part
simplify

40. The ratio of a number to 100 (per one hundred). The symbol %
percent
1 and itself
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Axiom I.

41. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Revenue ($) - Cost ($)
Relative multitude
Unity - or a Unit
equal to itself.

42. A Polygon is a closed shape formed by
like fractions
1
Line Segments
hexagon

43. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
mixed number
parallelogram
Alternative to the algebraic manipulation method to solving a VIC

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

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45. Any number with a negative exponent
square unit
mixed number
The new qty. is (100 - x)% of the original... i.e. a 15% decrease produces a quantity that's 85% of the original...I.E. Original*(1 - PCT Increase/100 ) = New
equal to 1 divided by that number with a positive exponent

46. 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.
polygon
How the Last Digit Shortcut works
'six cubed'
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

47. Method: convert Percent to Decimal?
Whole Numbers
Shift DP 2 places left
Negative-value integers
composite number

48. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
parallelogram
congruent
expression
x-coordinate

49. One of the four regions formed by the intersection of the axes of a coordinate graph
( (Last - First) / Increment ) + 1
dividend
Always completed first
quadrant

50. A ratio that compares two different types of quantities
rate
Arithmetic - Music - Geometry and Astronomy
Decreases
A = (Diagonal1 x Diagonal2) / 2

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CLEP General Mathematics: Arithmetic Basics

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