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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. A number that is not a prime number is called a
Multitude
percent
composite number
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

2. When the factors of a number are all prime numbers - the factors are said to be the
Reducing fractions
prime factors
cross product
always clear the innermost groups first

3. In a division problem - the number that an amount is divided by
theorem
Wage Rate ($ per hr) x Hrs worked
divisor
least common multiple (LCM)

4. Quantities which are both equal to one and the same third are equal to one another.
The rule for adding negative integers is the same as the rule for adding positive integers:
Axiom IV.
Axiom III.
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.

5. The whole is more or greater than its part.
Unity - or a Unit
difference
Relative multitude
Axiom IV.

6. The whole is equal to all of its parts taken together.
right triangle
1
Axiom V.
ratio

7. Any number with an exponent of 0
Sale Price - Unit Cost
diameter
Alternative to the algebraic manipulation method to solving a VIC
equal to 1

8. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
fraction or broken number
isosceles triangle
x-coordinate
Axiom II.

9. What are the 3 main formulaic properties of evenly-spaced sets?
When you are absolutely sure the variable or expression <> 0
Subtracting Signed Integers
square unit
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

10. Are located to the right of the zero on the integer number line. Positive integers are sometimes indicated with a positive sign ( + ). More often - however - we omit the positive sign. So when you see an integer value that does not have a sign - you
Is equal to the original value
Positive-value integers
mean
When to use the Heavy Division Shortcut - and how to do it

11. Is equal to the original value. a x 1 = 1
mean
Any value multiplied by one
mixed number
squared

12. Area of a Rhombus is?
When numbers do not divide evenly
rectangle
A = (D1 x D2) / 2
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

13. A mathematical sentence that uses an equal sign
contains only a single number
equation
1
farther to the right on the number line.

14. Switch to a number-picking strategy
Zero (0)
Alternative to the algebraic manipulation method to solving a VIC
The rule for adding negative integers is the same as the rule for adding positive integers:
Change / Original Formula?

15. Two angles whose sum equals 90 degrees.
To add integers that have opposite signs:
complementary angles
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Shift DP 2 places right

16. Method: convert Decimal to Percent?
Reducing: The Brute-Force Method
complementary angles
Shift DP 2 places right
radius

17. Another way to find the sum of the interior angles in a Polygon - apart from using the formula - is ? E.G. a Hexagon can be divided into 4 triangles by 3 lines connecting the corners. Therefore the sum of its angles is 4(180) = 720deg.
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
Axiom VIII.
Axiom VI.
Aliquot Part

18. The terms Species and Number
sum
When numbers do not divide evenly
Quantity is expressed
mean

19. Odd x Odd = ? e.g. 3 x 3 = 9 e.g. 5 x 11 = 55 e.g. 9 x 3 = 27
A minus sign ( - ) is used for two entirely different purposes:
absolute value
Odd
Reducing by the Largest Common Factor (LCF)

20. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
Quantity
Odd
reciprocal
diameter

21. Use to estimate or compare quantities - the implied denominator is 100 so you can easily compare percents (of the same whole) to each other.
Evaluating Powers With Negative Exponents
octagon
Decimals/Percents
Percent Decrease Formula

22. An angle that measures 180 degrees
Quantity is expressed
diameter
straight angle
'five squared'

23. By the first letters of the alphabet (a - b - c - d - etc..)
prime factorization
Unknown quantities
Axiom I.
x = (+-) a

24. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Even
Percent Change
Long Division
range

25. Change + - Original = New
parallelogram
One... the number 2
theorem
Change / Original Formula?

26. 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.
Odd
x-axis
Aliquant Part
Unit Cost + Markup

27. A known quantity we refer to as One.
Unity - or a Unit
ratio
product
There are two parts in the procedure for subtracting signed integers:

28. What are the rules for picking numbers in VICS?
Reducing fractions
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
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
Absolute and Relative

29. Pick a value for all but one of the variables and then solve for the value of the remaining variable. Then - plug the numbers we've selected into the original expression to get the Target value - and TEST Each Answer CHOICE.
Axiom IX.
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?
Percent Decrease Formula
Alternative to the algebraic manipulation method to solving a VIC

30. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
1
radius
Reducing: The Brute-Force Method
cylinder

31. The largest integer that can be divided evenly into both the numerator and denominator.
The sum of all the integers from 20 to 100 - inclusive
always clear the innermost groups first
prism
Reducing by the Largest Common Factor (LCF)

32. Odd / Even = ? e.g. 9/6 = 1.5
Non-Int
Known quantities
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
x/100

33. Odd x ? = Even
Even
quotient
reduced fraction
factors of the multiplication operation

34. What is the formula for: The Area of a Triangle ?
A = (Base x Height) / 2 - A = (BH)/2
Is equal to the original value
How the Last Digit Shortcut works
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

35. 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
fraction or broken number
When to use fractions
x-axis
Multiply the numerator of a positive - proper fraction by 1/2 Increase.

36. Why are Even Exponents dangerous?
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
factoring
A = (D1 x D2) / 2
Axiom IV.

37. Any number multiplied to form a product. A product can be divided by one factor to find the other factor.
1
order of operations
factor
Magnitude at Rest and Magnitude in Motion

38. Total Sales or Revenue = ?
sample
Unit Price x Qty. Sold
hexagon
theorem

39. 1/2 - 1/3 - 2/3 - -5/8
To square an equation to solve it
lowest terms
both integers are positive or both are negative
proper fractions

40. The ratio of a number to 100 (per one hundred). The symbol %
divisor
percent
rectangle
The height of a triangle

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.
2
range
Axiom II.
When numbers do not divide evenly

42. The distance around a circle (the perimeter of a circle)
circumference
Sale Price - Unit Cost
quadrilateral
pyramid

43. The difference between the least and greatest values in a set of numbers
Greater
range
Arithmetic - Music - Geometry and Astronomy
fraction or broken number

44. Surface space that is measured in square units
area
difference
radius
mixed number

45. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
median
rate
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
y-coordinate

46. The base of a triangle refers to?
The bottom side of the triangle
Multitudes and Magnitudes
'five squared'
More

47. Any whole number can be expressed in terms of the
product
Sum of Interior Angles of a Polygon: (n - 2) x 180
octagon
reduced fraction

48. Factors may be multiplied in any order.
commutative law of multiplication
Revenue ($) - Cost ($)
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
x/100

49. A polygon that has four sides
A = (Base x Height) / 2 - A = (BH)/2
quadrilateral
Aliquot Part
0.625

50. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
x-coordinate
referred to the same Unit
Composite number
pi