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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 length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
radius
polygon
probability
UnitPrice ($/unit) x Qty.Purchas'd (units)

2. Where do fractions occur on a number line?
Fractions allow you to plot values between whole numbers and integers.
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.
Magnitude at Rest and Magnitude in Motion
Even

3. The Sum of n consecutive integers is Not divisible by n if n is
Even
A = (Diagonal1 x Diagonal2) / 2
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
Wage Rate ($ per hr) x Hrs worked

4. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
quotient
Sum of Interior Angles of a Polygon: (n - 2) x 180
y-axis
Even

5. Multitude viewed in relation to something else - as greater - smaller - half - double - and so on.
Relative multitude
UnitPrice ($/unit) x Qty.Purchas'd (units)
Step 2 of Converting mixed numbers to improper fractions
Number

6. The sum of a group of numbers divided by the number of numbers; also known as the average
Evaluating Powers With Negative Exponents
To make sure to solve for Both cases.
mean
base

7. A polygon with six sides.
Inequality
hexagon
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
unit ratio

8. 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
Decimals/Percents
Axiom IX.
Revenue ($) - Cost ($)

9. Always try to Factor a quadratic equation
equal to 1 divided by that number with a positive exponent
Homogenous or Heterogenous
quotient
before solving

10. Unit Profit = ?
Step 2 of Converting mixed numbers to improper fractions
Odd
commutative law of multiplication
Sale Price - Unit Cost

11. A value found by ordering a group of data from least to greatest and choosing the middle value of the group.
median
Magnitude at Rest and Magnitude in Motion
exponent
rhombus

12. The two kinds of Quantity are
circumference
supplementary angles
One... the number 2
Multitudes and Magnitudes

13. Unit Profit = ?
Zero multiplied by any value
When the addends have opposite signs one is + and the other is -
Sale Price - Unit Cost
the same point on the number line

14. A parallelogram with all sides equal and congruent
x/100
rhombus
x = (+-) a
median

15. The nearer any lesser number approaches a greater number - the less often will it be contained in that greater number.
integer values
Axiom X.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Alternative to the algebraic manipulation method to solving a VIC

16. Always perform the operations
from left to right
Species
octagon
similar figures

17. Are those things collected in a whole.
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
area
Parts
When numbers do not divide evenly

18. Species and Number may be
Homogenous or Heterogenous
2 and/or 5 only
Shift DP 2 places right
Reducing fractions

19. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Odd or Non-Int
Absolute and Relative
y-coordinate
Magnitude

20. Step 1: Do the multiplication and division first - from left to right. Step 2: Do the addition and subtraction last - from left to right.
To add integers that have the same sign (both positive or both negative):
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.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
0

21. 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.
Inserting a zero at the left end of a whole number
x-axis
A minus sign ( - ) is used for two entirely different purposes:
(Last - First + 1)

22. A ratio that shows the cost per unit of measure
unit ratio
acute angle
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
scale drawing

23. Units that are not understood under the same notion - such as a pound of stones and a ton of stones - or an inch of string and a foot of string.
Different Units
improper fraction
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
common factor

24. Taken together - the multiplicand and multiplier are known as
factors of the multiplication operation
quadrilateral
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
The Decimal Numbering System

25. Any number with a negative exponent is equal to 1 divided by that number with a positive exponent
they have the same absolute value
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
Converting mixed numbers to improper fractions.
Evaluating Powers With Negative Exponents

26. A comparison of the two values of two numbers
straight angle
ratio
square root
Unit Price x Qty. Sold

27. An angle that measures 90 degrees
equal to 1 divided by that number with a positive exponent
A = (D1 x D2) / 2
The bottom side of the triangle
right angle

28. The Only possible factors for a prime number are
1 and itself
quadrant
When the addends have the same sign both + or both -
the denominator of the original improper fraction

29. A fraction with a numerator that is larger than or equal to its denominator.
Is equal to the original value
least common multiple (LCM)
Percent Change
improper fraction

30. A parallelogram with four right angles
rectangle
Odd
expression
referred to Unity in the same way

31. 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.
area
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
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?
before solving

32. No integer (except 1) that divides evenly into both the numerator and denominator.
acute angle
reduced fraction
y-axis
Even

33. Step 1: Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder. Step 2: Assemble the mixed number. The whole-number part of the mixed number is the whole-number part of the quotient from
Converting Improper Fractions to Mixed Numbers
Reducing by the Largest Common Factor (LCF)
mixed number
To find out - easily - if one fraction is bigger than another

34. A polygon with six sides.
dividend
hexagon
simplify
ratio

35. The figure formed when two rays meet at a common endpoint called a vertex.
theorem
Magnitude at Rest and Magnitude in Motion
angle
Even - Odd or Non-Int

36. 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:
Percent Change
congruent
range

37. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
The bottom side of the triangle
Even
theorem
exactly the same portion

38. Any number with an exponent of 0
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
Axiom V.
equal to 1
Long Division

39. By the last letters (u - x - y - etc.)
complementary angles
The sum of all the integers from 20 to 100 - inclusive
integers
Known quantities

40. When will a decimal terminate and why?
referred to Unity in the same way
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Absolute and Relative
Reducing: The Brute-Force Method

41. 'y percent less than' = ?
Step 2 of Converting Improper Fractions to Mixed Numbers
Multitudes and Magnitudes
1 - (y/100)
enclosing the numbers in a pair of vertical lines | |

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

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43. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
denominator
Same units
range
Odd

44. The largest single factor for two or more numbers.
greatest common factor (GCF)
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
the denominator of the original improper fraction
simplify

45. All the positive whole numbers
integer values
common denominator
Converting mixed numbers to improper fractions.
Axiom VI.

46. The result of dividing one number by another; the solution to a division problem
octagon
dividend
congruent
quotient

47. 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
Zero multiplied by any value
mixed fraction
The sum of all the integers from 20 to 100 - inclusive
Shift DP 2 places left

48. Two numbers listed in a specific order; it describes a point on the coordinate graph
ratio
Being divided by a power of 10
ordered pair
When the addends have the same sign both + or both -

49. Of two Unequal Magnitudes - one that has a part Equal in Magnitude with the Whole of the other Magnitude.
Greater
square root
When the addends have opposite signs one is + and the other is -
Composite number

50. Switch to a number-picking strategy
Step 1 of Converting mixed numbers to improper fractions
When the addends have opposite signs one is + and the other is -
Alternative to the algebraic manipulation method to solving a VIC
trapezoid