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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
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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. 1/2 - 1/3 - 2/3 - -5/8
To make sure to solve for Both cases.
Even
proper fractions
x-axis
2. To indicate the subtraction operation - to indicate a negative integer value
A minus sign ( - ) is used for two entirely different purposes:
A = (Diagonal1 x Diagonal2) / 2
ratio
diameter
3. Expresses fractional parts that are greater than 1.
Species
radius
Axiom VI.
mixed number
4. To make a fraction easier to work with by taking out common factors. In an expression - combining variables that have like unknowns.
Species
simplify
pyramid
When the addends have opposite signs one is + and the other is -
5. Change + - Original = New
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
Change / Original Formula?
To add integers that have opposite signs:
contains only a single number
6. The largest integer that can be divided evenly into both the numerator and denominator.
Proof
mixed number
composite number
Reducing by the Largest Common Factor (LCF)
7. Total Sales or Revenue = ?
cross product
Unit Price x Qty. Sold
Even
The Ratio of Any two of the following: Original - Change and New
8. A known quantity we refer to as One.
area
Unity - or a Unit
product
mode
9. 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
Step 2 of Converting Improper Fractions to Mixed Numbers
Absolute and Relative
2
Sale Price - Unit Cost
10. Species of Quantities are signified by
lowercase letters
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
Even
referred to Unity in the same way
11. A value such as 6^3 can described as
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12. Any number with a negative exponent
polygon
perimeter
cross product
equal to 1 divided by that number with a positive exponent
13. When Multiplying integers - if Any integer is even - what is the result - (odd/even)?
Revenue ($) - Cost ($)
denominator
Even
Revenue ($) - Cost ($)
14. The numerator of the fraction part of the mixed number is the remainder from the
dividend
median
quotient
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.
15. The number being divided is called the
dividend
Converting mixed numbers to improper fractions.
Even - Odd or Non-Int
UnitPrice ($/unit) x Qty.Purchas'd (units)
16. The point of intersection for two sides of a plane figure - three sides of a solid figure - or the endpoints of two rays that form an angle.
cross product
Odd
vertex (vertices - plural)
Terminating decimal
17. The value on the y-axis used to locate a point on the coordinate graph. It is the second value in an ordered pair.
Zero multiplied by any value
Even and Odd
Quantity
y-coordinate
18. To make a fraction easier to work with by taking out common factors
commutative law of multiplication
Even
mixed number
simplify
19. The distance around a circle (the perimeter of a circle)
To add integers that have opposite signs:
circumference
There are two parts in the procedure for subtracting signed integers:
2^3 = 8
20. The sum of a group of numbers divided by the number of numbers. Also known as the average.
pyramid
Even
mean
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
21. What are the 2 'percent change' equations?
complementary angle
Original + Change = New Change/Original = Percent Change
1 - (y/100)
scale drawing
22. What's the reciprocal of v6 - and why?
Step 1 of Converting mixed numbers to improper fractions
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
contains only a single number
Aliquot Part
23. Lines in the same plane that do not intersect. The symbol //
Power notation
Odd
Unit Cost + Markup
parallel lines
24. Even X Even = ? ... and is div. by ?
Even div. by 4
Inequality
like fractions
congruent
25. Part of the population that is studied to find the characteristics of the whole population.
sample
( (Last - First) / Increment ) + 1
expression
Negative-value integers
26. Two angles whose sum is 180 degrees
supplementary angles
lowest terms
Being divided by a power of 10
roots of numbers
27. When the product in the 1's column is greater than 9
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28. Even +/- Even = ? e.g. 10 + 20 = 30 e.g. 2 + 6 = 8
Even
Some integer/Some Power of 10
rate
equal to itself.
29. How many Even primes are there?
sample
integer values
proportion
One... the number 2
30. Begins with zero and counts upward through tens - hundreds - thousands - millions - and so on. 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - ... The scale on the number line begins with zero and runs to the right ('from zero to infinity').
diameter
putting that number over 1
Odd or Non-Int
Whole Numbers
31. A decimal which ends without repeating e.g. 0.2 - 0.47 - 0.375 the ratio of integers that results in a terminating decimal
Terminating decimal
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
To add integers that have opposite signs:
Magnitude at Rest and Magnitude in Motion
32. A whole number can be expressed as an improper fraction by
The diagonals of a rhombus are Always perpendicular bisectors (meaning they cut each other in half at a 90deg. angle)
Aliquant Part
Because they hide the sign of the base - and can have a POSITIVE and a NEGATIVE solution!
putting that number over 1
33. That which is referred to Unity as a Whole to a Part as - 1 - 2 - 3 - 4 - etc..
Percent Change
isosceles triangle
integer or whole number
Long Division
34. 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.
quadrilateral
Dividing the Polygon into triangles by cutting them into lines connecting the corners - and using the sum of the interior angles of the triangles.
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.
equilateral triangle
35. Includes an integer as well as a fractional part
62.5%
mixed number
parallel lines
There are two parts in the procedure for subtracting signed integers:
36. A drawing of an object that is different in size (usually smaller than the original) but keeps the same proportions
like fractions
scale drawing
The Decimal Numbering System
axiom
37. One number is said to be greater than (>) another when it is
Sale Price - Unit Cost
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
farther to the right on the number line.
mode
38. Things are Equal in Multitude when they are
Percent Decrease Formula
referred to Unity in the same way
quadrilateral
Terminating decimal
39. A solid figure that has two congruent - parallel polygons as its bases. Its sides are parallelograms.
when there are explicit or implicit equations in the problem:
Composite number
prism
hexagon
40. A number is increased by 25%... what must you reduce the new number by to get the old number again?
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
pyramid
acute angle
area
41. An eight-sided polygon
Magnitude
octagon
they have the same absolute value
Absolute and Relative
42. Squaring a positive proper fraction/percent Increases/Decreases the value? e.g. 1/4 x 1/4 = 1/16
The Decimal Numbering System
Decreases
x = (+-) a
A sum of 2 primes is Odd
43. A polygon with six sides.
diameter
acute angle
common factor
hexagon
44. A solid figure with two congruent and parallel circular bases
Unity - or a Unit
cylinder
1 and itself
The height of a triangle
45. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
improper fraction
square root
Step 1 of Converting mixed numbers to improper fractions
Percent Decrease Formula
46. Rules that tell which steps to follow when solving an expression.
order of operations
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
Axiom IV.
acute angle
47. 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.
circumference
Revenue ($) - Cost ($)
Inserting a zero at the left end of a whole number
integers
48. The value that shows the relationship of a circle's circumference to its diameter; it has an approximate value of 3.14
Even
radius
pentagon
pi
49. A number that when multiplied by itself results in the original number
Homogenous or Heterogenous
mixed fraction
square root
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
50. The result of muliplying two or more numbers
A plus sign (+) is used for two entirely different purposes:
Multitudes and Magnitudes
mean
product
Can you answer 50 questions in 15 minutes?
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