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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. Even X Even = ? ... and is div. by ?
Even div. by 4
Proof
product
'five squared'

2. The amount that remains after one number has been subtracted from another
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
difference
( (Last - First) / Increment ) + 1
Power notation

3. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
the denominator of the original improper fraction
More
range
x-axis

4. The sum of a group of numbers divided by the number of numbers. Also known as the average.
divisor
Sale Price - Unit Cost
mean
prism

5. Profit = ?
A = (Base x Height) / 2 - A = (BH)/2
numerator
Revenue ($) - Cost ($)
range

6. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
divisor
A minus sign ( - ) is used for two entirely different purposes:
y-coordinate
radius

7. An angle measuring more than 90 degrees and less than 180 degrees
pi
Being divided by a power of 10
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
obtuse angle

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

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9. Adding integers that have the same sign means
Parts
inverse
both integers are positive or both are negative
median

10. The Sum of n consecutive integers is divisible by n. What does this tell us about n - and why?
To square an equation to solve it
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
ratio
Odd

11. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
Even
cross product
Whole
prism

12. For there to be X unique factors of X - what must be true?
Zero multiplied by any value
Every integer between 1 and X - inclusive - must be a factor of X
Original + Change = New Change/Original = Percent Change
equal to 1

13. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
acute angle
Converting mixed numbers to improper fractions.
before solving
y-coordinate

14. The difference between the least and greatest values in a set of numbers.
congruent
range
the Complement of that part to the whole
integers

15. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
Revenue ($) - Cost ($)
When the addends have opposite signs one is + and the other is -
perimeter
common factor

16. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
parallelogram
Sale Price - Unit Cost
Mathematics
diameter

17. Two angles whose sum is 180 degrees
perimeter
Zero multiplied by any value
supplementary angles
A = (Diagonal1 x Diagonal2) / 2

18. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
When numbers do not divide evenly
contains only a single number
When the addends have opposite signs one is + and the other is -

19. Step 1: Add the absolute values of the addends Step 2. Give the result the sign that is common to the addends
when there are explicit or implicit equations in the problem:
To add integers that have the same sign both positive or both negative:
Aliquant Part
denominator

20. What is the only Even prime number?
'six cubed'
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
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?
2

21. A comparison of the two values of two numbers
ratio
quotient
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
supplementary angles

22. 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.
vertex (vertices - plural)
Sum of Interior Angles of a Polygon: (n - 2) x 180
Odd
To convert any fraction to higher terms

23. The method for indicating the power of a number
Sale Price - Unit Cost
improper fraction
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Power notation

24. You can Never pick a value for Every variable e.g. when the variables are related to each other through an equation
'six cubed'
composite number
inverse
when there are explicit or implicit equations in the problem:

25. The Sum of n consecutive integers is divisible by n if n is
Any value multiplied by one
Odd
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
they have the same absolute value

26. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
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
A plus sign (+) is used for two entirely different purposes:
Odd
Unity - or a Unit

27. Every quantity is equal to itself.
Negative-value integers
Axiom II.
proportion
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

28. The absolute value of the numerator is smaller than the absolute value of the denominator.
Unity - or a Unit
1 and itself
Axiom I.
proper fraction

29. What are the rules for picking numbers in VICS?
Reducing fractions
denominator
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
'five squared'

30. What is the formula forCounting consecutive multiples?
cylinder
Converting mixed numbers to improper fractions.
x = (+-) a
( (Last - First) / Increment ) + 1

31. Is Always perpendicular (at 90 deg. to) the base!
reflection
factoring
The height of a triangle
Odd

32. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
right triangle
y-coordinate
range

33. The Sum of n consecutive integers is Not divisible by n if n is
A plus sign (+) is used for two entirely different purposes:
Zero multiplied by any value
radius
Even

34. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
When numbers do not divide evenly
denominator
Axiom II.
equivalent

35. Is the agreement of things in Quanity.
octagon
Equality
When to use fractions
cross product

36. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
product
To add integers that have opposite signs:
Axiom III.
multiplier

37. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
squared
Odd
How the Last Digit Shortcut works
range

38. Any whole number can be expressed in terms of the
mode
product
(Last - First + 1)
Unit Price x Qty. Sold

39. What is the formula forCounting consecutive integers?
(Last - First + 1)
The height of a triangle
There are two parts in the procedure for subtracting signed integers:
multiplier

40. Area of a Rhombus is?
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
prime number
A = (D1 x D2) / 2
The height of a triangle

41. In a division problem - it's the number being divided
To add integers that have the same sign (both positive or both negative):
complementary angles
dividend
Known quantities

42. 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.
Converting mixed numbers to improper fractions.
pyramid
A plus sign (+) is used for two entirely different purposes:
How the Last Digit Shortcut works

43. If 2 numbers are OPPOSITES of each other
simplify
parallelogram
cubed
they have the same absolute value

44. The result of dividing one number by another; the solution to a division problem
Unit Cost + Markup
Whole Numbers
Percent Change
quotient

45. Total Sales or Revenue = ?
Unit Price x Qty. Sold
percent
cubed
diameter

46. Total Earnings ($) = ?
Unit Price x Qty. Sold
Wage Rate ($ per hr) x Hrs worked
numerator
Magnitude at Rest and Magnitude in Motion

47. 11/2 - 2 3/4 - 6 5/8 - -4 1/4
Even
Axiom III.
Subtracting Signed Integers
mixed fractions

48. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
simplify
When to use fractions
change the operation from subtraction to addition
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

49. 1: Add the absolute values of the addends 2. Give the result the sign that is common to the addends
Axiom VIII.
The rule for adding negative integers is the same as the rule for adding positive integers:
Odd
scale drawing

50. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms
To add integers that have the same sign (both positive or both negative):
Aliquot and Aliquant Parts
proper fraction
prism