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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. The two kinds of Quantity are
Multitudes and Magnitudes
Power notation
quadrilateral
proper fraction

2. The sum of a group of numbers divided by the number of numbers. Also known as the average.
Species
Reducing fractions
mean
median

3. A whole number can be expressed as an improper fraction by
denominator
quotient
putting that number over 1
dividend

4. A self-evident statement - that is - one that does not need to be demonstrated.
0
2
Decreases
axiom

5. The action of the mind whereby a quantity is measured by Unity or a Unit.
cubed
Computation
One... the number 2
proportion

6. The ratio of a number to 100 (per one hundred). The symbol %
Inserting a zero at the right end of a whole number
percent
proportion
Being divided by a power of 10

7. A whole number that has only one set of factors - itself and 1.
prime number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
Sequences of numbers that go up/down by the same amount (the Increment) from one item in the sequence to the next
Arithmetic - Music - Geometry and Astronomy

8. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Reducing fractions
Step 1 of Converting mixed numbers to improper fractions
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
exponent

9. Indicates the number to be multiplied
improper fraction
Original + Change = New Change/Original = Percent Change
base
supplementary angles

10. The lower number in a fraction is the
parallelogram
denominator
product
Aliquot and Aliquant Parts

11. Cross-multiply
Axiom III.
pentagon
squared
To find out - easily - if one fraction is bigger than another

12. Species are distinguished into
the Complement of that part to the whole
always clear the innermost groups first
parallelogram
Known (Given) and Unknown (Sought)

13. The difference between the least and greatest values in a set of numbers.
When solving combinations of addition - subtraction - multiplication - and division in the same expression:
1
range
numerator

14. Two angles whose sum equals 90 degrees.
1
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
y-coordinate
complementary angles

15. Is the agreement of things in Quanity.
squared
integer or whole number
Equality
quotient

16. A ratio that shows the cost per unit of measure
unit ratio
inverse operations
Line Segments
from left to right

17. Operations enclosed in a sign of grouping
To convert any fraction to higher terms
x-coordinate
vertex (vertices - plural)
Always completed first

18. The part of a fraction that stands for how many parts of a whole or group are included in the fraction.
Inequality
numerator
Even
y-coordinate

19. The largest single factor for two or more numbers.
Wage Rate ($ per hr) x Hrs worked
greatest common factor (GCF)
congruent
( (Last - First) / Increment ) + 1

20. 0.625 --> Fraction ?
5/8
Original + Change = New Change/Original = Percent Change
percent
the same point on the number line

21. A triangle with one right angle
Composite number
equal to 1 divided by that number with a positive exponent
right triangle
equation

22. Is equal to zero. 0 x a = 0
integer values
( (Last - First) / Increment ) + 1
2^3 = 8
Zero multiplied by any value

23. An equation stating that two ratios are equal
circumference
square root
proportion
Even

24. The distance around a circle (the perimeter of a circle).
circumference
A minus sign ( - ) is used for two entirely different purposes:
Quantity
equivalent

25. For there to be X unique factors of X - what must be true?
Every integer between 1 and X - inclusive - must be a factor of X
integers
Aliquot Part
improper fractions

26. The formula for the Area of a Rhombus is?
A = (Diagonal1 x Diagonal2) / 2
dividing the numerator and denominator by the same number
parallelogram
commutative law of multiplication

27. Is the disagreement of things in Quantity.
Inequality
simplify
change the operation from subtraction to addition
Species

28. This is an addition problem. Although the addends both have negative values - you still add their absolute values.
ratio
Multitude
Adding negative integers will always produce a negative sum
common denominator

29. What are the 3 main formulaic properties of evenly-spaced sets?
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
probability
Converting Improper Fractions to Mixed Numbers
Even

30. 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.
percent
Positive-value integers
'five squared'

31. Total Sales or Revenue = ?
Converting mixed numbers to improper fractions.
when there are explicit or implicit equations in the problem:
The Ratio of Any two of the following: Original - Change and New
Unit Price x Qty. Sold

32. 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.
supplementary angles
sample
Mathematics
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.

33. Every lesser number is contained in a greater more than once.
Axiom VIII.
circumference
Homogenous or Heterogenous
Line Segments

34. A number that is a multiple of all denominators in a problem.
numerator
common denominator
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
The height of a triangle

35. When working with nested signs of grouping
always clear the innermost groups first
Whole
Change + - Original = New
'five squared'

36. x and y are primes...What values (Odd/Even) must x and y be forx + y = Odd? 2
Aliquant Part
scalene triangle
mixed fractions
Odd

37. A triangle with two equal sides and two equal angles
integers
Carry the 10's digit of the product to the top of the 10's column of factors.
isosceles triangle
Even

38. The total of two or more numbers being added
Decimals/Percents
scalene triangle
Axiom V.
sum

39. The distance around a figure.
lowest terms
perimeter
product
Composite number

40. Reducing fractions is
5/8
quadrant
Any value multiplied by one
dividing the numerator and denominator by the same number

41. The numerator is smaller than the denominator
proper fraction
Aliquot Part
Wage Rate ($ per hr) x Hrs worked
right triangle

42. Has no sign value
combination of addition and subtraction
Zero (0)
Converting mixed numbers to improper fractions.
axiom

43. 3 ways to solve an absolute value inequality
rectangle
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
Is equal to the original value
axiom

44. A triangle with sides of different lengths and no two angles are the same.
probability
from left to right
scalene triangle
Percent Decrease Formula

45. Total Sales or Revenue = ?
Even
Unit Price x Qty. Sold
square unit
Axiom I.

46. 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
To add integers that have the same sign both positive or both negative:
squared
Original x (1 - x/100) = New
Negative-value integers

47. 1 to any power is equal to
axiom
cubed
absolute value
1

48. The denominator of the fraction part of the mixed number is
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
divisor
(Last - First + 1)
the denominator of the original improper fraction

49. Sale Price = ?
Unit Cost + Markup
mixed number
If - after being fully reduced - the denominator has any prime factors OTHER than 2 or 5 - the decimal will not terminate
range

50. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
Decreases
To add integers that have the same sign (both positive or both negative):
Step 1 of Converting mixed numbers to improper fractions
Multiply the numerator of a positive - proper fraction by 1/2 Increase.