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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 numerator is smaller than the denominator
proper fraction
acute angle
( (Last - First) / Increment ) + 1
1

2. Any number with an exponent of 0
equal to 1
Same units
Quantity
A sum of 2 primes is Odd

3. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself
quadrant
area
product
radius

4. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
Is zero
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
Axiom VIII.

5. Taken together - the multiplicand and multiplier are known as
factors of the multiplication operation
range
Original x (1 - x/100) = New
The concept of trading decimal places and how it works

6. The inverse of a fraction; when multiplied by the original fraction - it results in a product that equals one
reciprocal
Greater
A plus sign (+) is used for two entirely different purposes:
diameter

7. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
simplify
exactly the same portion
pi
Step 1 of Converting Improper Fractions to Mixed Numbers

8. All whole numbers (both positive and negative) and zero.
Mathematics
Original x (1 - x/100) = New
mean
integers

9. The two kinds of Magnitude are
Step 1 of Converting Improper Fractions to Mixed Numbers
Homogenous or Heterogenous
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
Magnitude at Rest and Magnitude in Motion

10. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
range
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.
proper fraction
To add integers that have opposite signs:

11. A number is increased by 25%... what must you reduce the new number by to get the old number again?
Sale Price - Unit Cost
median
Multitude
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

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

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13. The numerator of the fraction part of the mixed number is the remainder from the
similar figures
parallelogram
quotient
prime factors

14. The exact procedure for adding signed integers depends upon
whether the addends have the same sign or opposite signs
Decimals/Percents
Subtracting Signed Integers
range

15. What are the only prime factors that a fraction resulting in a terminating decimals have?
quadrilateral
numerator
2 and/or 5 only
Original + Change = New Change/Original = Percent Change

16. Signs of grouping may be nested
Decimals/Percents
2
The inner group is enclosed in parentheses ( ) The outer group is enclosed in brackets [ ]
Sale Price - Unit Cost

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

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18. The purpose of the first step in Changing Integer Subtraction to Integer Addition is to
reciprocal
trapezoid
change the operation from subtraction to addition
Homogenous or Heterogenous

19. To make a fraction easier to work with by taking out common factors
Odd or Non-Int
acute angle
simplify
vertex (vertices - plural)

20. A fraction such as 12/16 might look a lot different from 3/4 - but it represents
'five squared'
exactly the same portion
pentagon
Axiom VII.

21. The ratio of integers that results in a terminating decimal
proper fractions
Some integer/Some Power of 10
Alternative to the algebraic manipulation method to solving a VIC
pi

22. 5/8 --> Decimal ?
mode
Odd
axiom
0.625

23. Two angles whose sum is 180 degrees
prime factors
(Last - First + 1)
supplementary angles
scalene triangle

24. A comparison of the two values of two numbers
To convert any fraction to higher terms
absolute value
ratio
More

25. A number that tells how many times the base is multiplied by itself
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.
Converting mixed numbers to improper fractions.
exponent
Long Division

26. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
Even or Non-Int
polygon
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.
exactly the same portion

27. Always perform the operations
1
from left to right
mean
probability

28. Indicates the number of times the base is to be multiplied
To add integers that have opposite signs:
Equal
x-coordinate
exponent

29. 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
parallel lines
common denominator
change the operation from subtraction to addition
Step 2 of Converting Improper Fractions to Mixed Numbers

30. 3/2 - 8/3 - -16/5 - 7/7
improper fractions
exactly the same portion
multiplicand
quotient

31. A number that when multiplied by itself results in the original number
1
square root
2
When to use the Heavy Division Shortcut - and how to do it

32. A triangle with sides of different lengths and no two angles are the same
Wage Rate ($ per hr) x Hrs worked
common denominator
mode
scalene triangle

33. Total Earnings ($) = ?
Wage Rate ($ per hr) x Hrs worked
improper fraction
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
Increases the value.

34. The amount that remains after one number has been subtracted from another
order of operations
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
difference
Converting mixed numbers to improper fractions.

35. The part of a fraction that stands for the number of equal parts a whole or group is divided into.
denominator
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
1
Even

36. Two angles whose sum is 180 degrees
supplementary angles
mixed number
UnitPrice ($/unit) x Qty.Purchas'd (units)
from left to right

37. Things are Equal in Multitude when they are
referred to Unity in the same way
Unit Cost + Markup
difference
scalene triangle

38. Are located to the left of the zero on the integer number line. Negative-value integers use the same symbols as the whole number system - but are distinguished by the use of a negative sign ( - ). Numbers 5 and - 5 - for example - might resemble one
Inequality
base
Relative multitude
Negative-value integers

39. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Change + - Original = New
acute angle
Axiom IV.
Even

40. What is the perimeter of a Polygon?
improper fraction
Always completed first
The distance around the Polgyon... i.e. the sum of the lengths of all the sides.
quotient

41. Is a part which - being repeated a number of times - becomes equal to the whole; as 4 is of the numbers 8 and 12.
simplify
equal to 1
Evaluating Powers With Negative Exponents
Aliquot Part

42. What are the properties of the diagonals of a Rhombus?
A plus sign (+) is used for two entirely different purposes:
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
straight angle
numerator

43. The two kinds of parts
multiplicand
The Decimal Numbering System
Fractions allow you to plot values between whole numbers and integers.
Aliquot and Aliquant Parts

44. A number with an exponent of 2 is often said to be
Evaluating Powers With Negative Exponents
squared
prime number
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?

45. In a division problem - it's the number being divided
dividend
Some integer/Some Power of 10
y-coordinate
ratio

46. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
when there are explicit or implicit equations in the problem:
diameter
Reducing fractions
Odd

47. .625 --> Percent?
Even - Odd or Non-Int
scale drawing
when there are explicit or implicit equations in the problem:
62.5%

48. An evenly-spaced set is fully-defined if what is known...?
Odd
product
Decimals/Percents
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set

49. The sum of a group of numbers divided by the number of numbers. Also known as the average.
scale drawing
mean
Sale Price - Unit Cost
Being divided by a power of 10

50. The result of dividing one number by another; the solution to a division problem
pyramid
quotient
Unit Price x Qty. Sold
Axiom I.