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CLEP General Mathematics: Arithmetic Basics

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
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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. 0 to any power is equal to
Unknown quantities
Multiply the numerator of a positive - proper fraction by 1/2 Increase.
0
Homogenous or Heterogenous

2. The result of muliplying two or more numbers
Multitude
prism
Unit Cost + Markup
product

3. An evenly-spaced set is fully-defined if what is known...?
putting that number over 1
proportion
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
To add integers that have the same sign both positive or both negative:

4. Step 1: Subtract the absolute values. Step 2. Write the sum with the sign of the larger number.
To add integers that have opposite signs:
ratio
Is zero
quotient

5. The terms Species and Number
Quantity is expressed
62.5%
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
mean

6. 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.
Axiom IV.
Aliquant Part
Zero (0)
Sale Price - Unit Cost

7. Everything may be assumed as unity.
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Even
Axiom I.
perimeter

8. An angle measuing more than 0 degrees and less than 90 degrees
Species
acute angle
Both
change the operation from subtraction to addition

9. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
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
A = (Diagonal1 x Diagonal2) / 2
mode

10. The ratio of a number to 100 (per one hundred); the symbol %
percent
Axiom V.
Subtracting Signed Integers
Step 1 of Converting mixed numbers to improper fractions

11. Two angles whose sum is 180 degrees
Even
improper fractions
Same units
supplementary angles

12. What is the formula forCounting consecutive multiples?
Odd
order of operations
Homogenous or Heterogenous
( (Last - First) / Increment ) + 1

13. The whole-number part of the mixed number is the whole-number part of the
Line Segments
farther to the right on the number line.
When numbers do not divide evenly
quotient

14. Expresses fractional parts that are greater than 1.
mixed number
To add integers that have the same sign both positive or both negative:
Even
combination of addition and subtraction

15. The exact procedure for adding signed integers depends upon
prime factors
whether the addends have the same sign or opposite signs
mode
Odd

16. The sum of a group of numbers divided by the number of numbers; also known as the average
1
mean
rhombus
equation

17. ' x percent' = ?
lowercase letters
y-axis
Step 2 of Converting mixed numbers to improper fractions
x/100

18. To make a fraction easier to work with by taking out common factors
simplify
quotient
x-axis
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

19. A length that is half the diameter of a circle; the distance from the center of the circle to the circle itself.
exponent
The bottom side of the triangle
polygon
radius

20. No integer (except 1) that divides evenly into both the numerator and denominator.
supplementary angles
right angle
trapezoid
reduced fraction

21. The numerator is greater than - or equal to - the denominator
Aliquot Part
improper fraction
ratio
prism

22. The formula for the Area of a Rhombus is?
mode
A = (Diagonal1 x Diagonal2) / 2
unit ratio
Magnitude at Rest and Magnitude in Motion

23. 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
proper fraction
straight angle
The sum of all the integers from 20 to 100 - inclusive
product

24. Why are Even Exponents dangerous?
rhombus
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
The Decimal Numbering System
The sum of all the integers from 20 to 100 - inclusive

25. What is the result of Adding 2 Odds or 2 Evens? e.g. 7 + 11 = 18 e.g. 8 + 6 = 14
Even
both integers are positive or both are negative
enclosing the numbers in a pair of vertical lines | |
Alternative to the algebraic manipulation method to solving a VIC

26. A terminating decimal only arises as a result of an integer _____________. i.e. the denominator should only have prime factors of 2 and/or 5
Axiom VI.
Being divided by a power of 10
Sum of Interior Angles of a Polygon: (n - 2) x 180
equation

27. Step 1: Change the subtraction sign to the addition sign - and then switch the sign of the subtrahend the number that immediately follows the operation sign you just changed. Step 2: Add the result according to the procedures for adding signed integ
both integers are positive or both are negative
Step 1 of Converting mixed numbers to improper fractions
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
Subtracting Signed Integers

28. A polygon that has four sides.
Axiom IV.
quadrilateral
Even
'six cubed'

29. In an equation made up of two fractions - the numerator of one fraction times the denominator of the other fraction.
absolute value
cross product
squared
expression

30. What is the formula forCounting consecutive multiples?
( (Last - First) / Increment ) + 1
least common multiple (LCM)
Reducing: The Brute-Force Method
Quantity

31. Divide the denominator into the numerator. Use ordinary whole-number division that produces a quotient and a remainder.
Homogenous or Heterogenous
Step 1 of Converting Improper Fractions to Mixed Numbers
integer values
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

32. Three or more line segments in a plane that forms a closed figure. The line segments never cross but meet at their endpoints.
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
polygon
2 and/or 5 only
Absolute and Relative

33. Always perform combinations of multiplication and division before
complementary angles
reciprocal
dividend
combination of addition and subtraction

34. When Multiplying integers - if No integer is even - what is the result - (odd/even)?
Unit Price x Qty. Sold
radius
Odd
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

35. Is equal to the original value. a x 1 = 1
Any value multiplied by one
Even
congruent
y-axis

36. In a group of values - the value that occurs most often.
numerator
mode
Alternative to the algebraic manipulation method to solving a VIC
Sale Price - Unit Cost

37. A Polygon is a closed shape formed by
improper fractions
area
Line Segments
x-axis

38. 1/2 - 1/3 - 2/3 - -5/8
proper fractions
squared
difference
Odd

39. When are you allowed to divide by a variable - (or Any expression) ?
they have the same absolute value
A minus sign ( - ) is used for two entirely different purposes:
similar figures
When you are absolutely sure the variable or expression <> 0

40. One of those primes must be the number __ ?
1
There are two parts in the procedure for subtracting signed integers:
A sum of 2 primes is Odd
improper fraction

41. The distance around a figure.
Axiom VIII.
perimeter
numerator
octagon

42. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
congruent
'five squared'
simplify
supplementary angles

43. What is the increment of a set of consecutive integers?
trapezoid
square root
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
1

44. The likelihood that an event will occur. The probability that an event will occur is 0 - 1 - or somewhere between 0 and 1.
2
y-coordinate
from left to right
probability

45. 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.
Unit Price x Qty. Sold
farther to the left on the number line
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate

46. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
prism
Odd
Magnitude
Whole Numbers

47. Odd +/- ? = Even e.g. 3 + 5 = 8 e.g. 13 + 19 = 32
reduced fraction
common denominator
Adding negative integers will always produce a negative sum
Odd

48. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Known (Given) and Unknown (Sought)
supplementary angles
Even
common factor

49. A quantity that is whole and continuous - as a field - a circle - the universe - and so on. It is also called a 'Continued Quantity'.
supplementary angles
Magnitude
expression
y-axis

50. Rules that tell which steps to follow when solving an expression
order of operations
UnitPrice ($/unit) x Qty.Purchas'd (units)
Absolute and Relative
radius