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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. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Converting mixed numbers to improper fractions.
reduced fraction
Quantity
mean

2. The process of breaking a number down into its factors is called
Odd
exponent
factoring
denominator

3. A polygon with five sides
pentagon
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
divisor
they have the same absolute value

4. What are the rules for picking numbers in VICS?
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
mixed number
When to use fractions
Aliquot and Aliquant Parts

5. What are the 2 'percent change' equations?
Original + Change = New Change/Original = Percent Change
when there are explicit or implicit equations in the problem:
Unit Price x Qty. Sold
dividend

6. Rules that tell which steps to follow when solving an expression.
when there are explicit or implicit equations in the problem:
order of operations
Even or Non-Int
To convert any fraction to higher terms

7. In a group of values - the value that occurs most often.
mode
Axiom VI.
Odd or Non-Int
prime number

8. Things are Equal in Multitude when they are
referred to Unity in the same way
Known (Given) and Unknown (Sought)
simplify
When the addends have opposite signs one is + and the other is -

9. Is Always perpendicular (at 90 deg. to) the base!
0.625
exponent
Axiom I.
The height of a triangle

10. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
To add integers that have the same sign both positive or both negative:
proper fraction
x-axis
product

11. An evenly-spaced set is fully-defined if what is known...?
Revenue ($) - Cost ($)
(Last - First + 1)
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
when there are explicit or implicit equations in the problem:

12. Signs of grouping may be nested
Step 1 of Converting Improper Fractions to Mixed Numbers
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
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Axiom IV.

13. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
Even and Odd
Known (Given) and Unknown (Sought)
Arithmetic - Music - Geometry and Astronomy

14. A collection of things taken as a Unity. A bushel of wheat is a whole.
mode
Whole
proper fraction
Magnitude at Rest and Magnitude in Motion

15. A solid figure that has triangles for its sides and a polygon as its base
pyramid
There are two parts in the procedure for subtracting signed integers:
supplementary angles
Carry the 10's digit of the product to the top of the 10's column of factors.

16. Rules that tell which steps to follow when solving an expression
1 and itself
order of operations
unit ratio
median

17. Every number is contained in itself once.
circumference
Aliquot and Aliquant Parts
Axiom VII.
product

18. Describe the steps for solving a VICS problem using 'Pick Numbers & Calculate a Target'

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19. Factors may be multiplied in any order.
Even
equation
the denominator of the original improper fraction
commutative law of multiplication

20. An angle measuing more than 0 degrees and less than 90 degrees
Even
acute angle
Is equal to the original value
How the Last Digit Shortcut works

21. What are the 3 main formulaic properties of evenly-spaced sets?
The height of a triangle
Whole
2
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

22. What rule is essential to follow when solving ABSOLUTE VALUE EQUATIONS?
1 - (y/100)
Computation
like fractions
To make sure to solve for Both cases.

23. A number that is a multiple of all denominators in a problem.
sum
squared
Arithmetic - Music - Geometry and Astronomy
common denominator

24. A whole number that has only one set of factors - itself and 1.
prime number
diameter
To add integers that have opposite signs:
y-coordinate

25. The four Mathematical arts are:
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Arithmetic - Music - Geometry and Astronomy
they have the same absolute value
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

26. The two kinds of Multitude
commutative law of multiplication
quotient
quadrilateral
Absolute and Relative

27. A number with only two factors: the number itself and one.
prime number
one is positive and the other is negative
combination of addition and subtraction
Original + Change = New Change/Original = Percent Change

28. Consecutive Integers alternate between ___ and ___ ? e.g. 2 - 3 - 4 - 5 - 6 - 7 - E -O -E -O -E
Unit Cost + Markup
Proof
right triangle
Even and Odd

29. Quantities which are both equal to one and the same third are equal to one another.
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
Axiom III.
before solving
exactly the same portion

30. A parallelogram with all sides equal and congruent
Odd
rhombus
Axiom I.
Change / Original Formula?

31. If 2 numbers are OPPOSITES of each other
referred to the same Unit
they have the same absolute value
rate
obtuse angle

32. A ratio that shows the cost per unit of measure
proportion
unit ratio
mean
Odd

33. The value on the x-axis used to locate a point on the coordinate graph. It is the first value in an ordered pair.
expression
lowest terms
x-coordinate
0.625

34. The difference between the least and greatest values in a set of numbers
range
mixed number
diameter
proper fractions

35. 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:
right triangle
Even
scale drawing

36. The denominator of the fraction part of the mixed number is
Relative multitude
Zero multiplied by any value
the denominator of the original improper fraction
Even

37. Profit = ?
There are two parts in the procedure for subtracting signed integers:
Any value multiplied by one
Revenue ($) - Cost ($)
combination of addition and subtraction

38. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Be careful not to assume that a quadratic equation always has two solutions. Always Factor quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has One or MORE solutions.
Greater
fraction or broken number
Step 2 of Converting Improper Fractions to Mixed Numbers

39. Where do fractions occur on a number line?
theorem
mixed fractions
Fractions allow you to plot values between whole numbers and integers.
parallelogram

40. A positive whole number with more than two factors. In other words - a number that is not prime. Zero and one are neither composite nor prime.
multiplicand
like fractions
composite number
numerator

41. Find the largest number of times the divisor will divide into the dividend. This is the quotient. To determine the remainder - multiply the quotient by the divisor - then subtract the result from the dividend.
congruent
The rule for adding negative integers is the same as the rule for adding positive integers:
rectangle
When numbers do not divide evenly

42. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Reducing: The Brute-Force Method
obtuse angle
scalene triangle
polygon

43. Two numbers are said to be equal (=) when they are at
multiplicand
the same point on the number line
x/100
When the addends have opposite signs one is + and the other is -

44. 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
straight angle
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
right triangle

45. A mathematical sentence that uses an equal sign
Odd
numerator
equation
Aliquot and Aliquant Parts

46. What are the properties of the diagonals of a Rhombus?
Percent Decrease Formula
Even or Non-Int
prime factors
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)

47. 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
roots of numbers
0
Odd

48. A fraction with a numerator that is larger than or equal to its denominator.
y-coordinate
improper fraction
polygon
When the addends have the same sign both + or both -

49. In a group of values - the value that occurs most often
vertex (vertices - plural)
mode
lowercase letters
x-coordinate

50. A comparison of the two values of two numbers
ratio
square root
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
2