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Test your basic knowledge |
CLEP General Mathematics: Arithmetic Basics
Start Test
Study First
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. 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.
octagon
divisor
probability
Inserting a zero at the left end of a whole number
2. When the product in the 1's column is greater than 9
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3. Odd / Odd = ? e.g. 15/5 = 3 e.g. 15/25 = 0.6
scalene triangle
Axiom VI.
To make sure to solve for Both cases.
Odd or Non-Int
4. The horizontal number line of a coordinate graph
To make sure to solve for Both cases.
factors of the multiplication operation
complementary angles
x-axis
5. A triangle that has three equal sides and three equal angles
proportion
lowest terms
equilateral triangle
Equality
6. The largest single factor for two or more numbers.
greatest common factor (GCF)
pi
Number
1
7. The figure formed when two rays meet at a common endpoint called a vertex.
angle
A = (Base x Height) / 2 - A = (BH)/2
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.
Number
8. A line segment that passes through the center of a circle and has its endpoints on the circle. It describes how wide the circle is.
Homogenous or Heterogenous
complementary angle
numerator
diameter
9. 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').
Even
Whole Numbers
Aliquot Part
To add integers that have opposite signs:
10. What is the formula for the Sum of Interior Angles of a Polygon? ...where n = the number of sides
lowercase Variables
Sum of Interior Angles of a Polygon: (n - 2) x 180
When the addends have the same sign both + or both -
range
11. A triangle with sides of different lengths and no two angles are the same.
the denominator of the original improper fraction
Quantity
scalene triangle
The height of a triangle
12. Change + - Original = New
Even - Odd or Non-Int
Equality
Change / Original Formula?
proportion
13. A number that is not a prime number is called a
Axiom VI.
the same point on the number line
x-axis
composite number
14. Set the denominator of the improper fraction equal to the denominator of the fraction in the mixed number
Step 2 of Converting mixed numbers to improper fractions
Long Division
multiplicand
exponent
15. A polygon with six sides.
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
hexagon
multiplicand
To add integers that have opposite signs:
16. Change/Original = New
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
Quantity
Sum of Interior Angles of a Polygon: (n - 2) x 180
Percent Change
17. The absolute value of the numerator is smaller than the absolute value of the denominator.
proper fraction
Change / Original Formula?
Relative multitude
probability
18. That which is referred to Unity as a Part to a Whole as - 1 half - 2 thirds - 1 third - 3 fourths - etc..
Even
The Decimal Numbering System
fraction or broken number
integer or whole number
19. The difference between the least and greatest values in a set of numbers.
Axiom IV.
improper fraction
pentagon
range
20. A quantity consisting of disconnected parts - as three stones or seven coins. It may be also called a 'Discontinued Quantity'.
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
Multitude
scale drawing
ratio
21. A triangle with one right angle
x-coordinate
'five squared'
right triangle
ratio
22. Step 1: Subtract the absolute values of the addends Step 2. Give the result the sign of the addend that has larger absolute value
improper fraction
common factor
When the addends have opposite signs one is + and the other is -
radius
23. Multiply the whole number by the denominator and add the numerator. This becomes the numerator of the improper fraction.
Sum of Interior Angles of a Polygon: (n - 2) x 180
inverse operations
When to use the Heavy Division Shortcut - and how to do it
Step 1 of Converting mixed numbers to improper fractions
24. What are the rules for picking numbers in VICS?
dividend
Equality
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
Axiom III.
25. A triangle with two equal sides and two equal angles
isosceles triangle
How the Last Digit Shortcut works
To find out - easily - if one fraction is bigger than another
When to use the Heavy Division Shortcut - and how to do it
26. Indicates the number of times the base is to be multiplied
Absolute and Relative
complementary angles
exponent
mode
27. Even / Odd = ? e.g. 12/3 = 4 e.g. 12/5 = 2.4
integers
Adding negative integers will always produce a negative sum
ratio
Even or Non-Int
28. A number with only two factors: the number itself and one.
hexagon
equilateral triangle
complementary angles
prime number
29. Be careful not to assume that a quadratic equation always has _____ _____. Always _____ quadratic equations to determine their solutions. This will enable you to see whether a quadratic equation has ____ or ____ solutions
obtuse angle
divisor
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.
Long Division
30. The smallest multiple that two or more numbers have in common
least common multiple (LCM)
Step 1 of Converting mixed numbers to improper fractions
supplementary angles
When to use fractions
31. To indicate the addition operation- to indicate a positive integer value
Increases the value.
1. Pick numbers for each variable. Can be helpful to use a chart. 2. Answer the question - walking through the logic with the numbers that we've picked. This answer is the Target. 3. Test Each answer choice - Even if you've already found one that equ
composite number
A plus sign (+) is used for two entirely different purposes:
32. Everything may be assumed as unity.
When numbers do not divide evenly
The height of a triangle
Axiom I.
2 and/or 5 only
33. Any value divided by one
Positive-value integers
Is equal to the original value
diameter
denominator
34. Every lesser homogeneous number is contained in a greater either as an aliquot or an aliquant part.
Axiom VI.
farther to the left on the number line
mixed fraction
1. Smallest (First) or Largest (Last) number in the set 2. The increment 3. The number of items in the set
35. What are the 2 'percent change' equations?
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?
Revenue ($) - Cost ($)
To add integers that have opposite signs:
Original + Change = New Change/Original = Percent Change
36. Any number with an exponent of 1
'six cubed'
equal to itself.
product
square root
37. A fraction with all common factors (other than 1) factored out of the numerator and denominator
cylinder
Both
Composite number
lowest terms
38. The result of dividing one number by another; the solution to a division problem
polygon
quotient
equilateral triangle
vertex (vertices - plural)
39. The greater any number is in comparison to another - the more equal parts will it contain of that other.
Axiom IX.
Inserting a zero at the right end of a whole number
x = (+-) a
rhombus
40. One of the four regions formed by the intersection of the axes of a coordinate graph
trapezoid
quadrant
median
inverse operations
41. Two angles whose sum is 180 degrees
supplementary angles
right triangle
To make sure to solve for Both cases.
quadrant
42. Of two Unequal Multitudes - one that has a part equal in Multitude with the Whole of the other Multitude.
quotient
theorem
2^3 = 8
More
43. The two kinds of Magnitude are
Magnitude at Rest and Magnitude in Motion
To convert any fraction to higher terms
The concept of trading decimal places and how it works
radius
44. When a denominator of a fraction is 9 - 99 - 999 or another power of 10 minus 1 - what's an easy way of determining the REPEATING DIGITS of the decimal equivalent of the fraction?
( (Last - First) / Increment ) + 1
lowest terms
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.
Aliquot and Aliquant Parts
45. Having the same value
pentagon
Species
equivalent
Quantity
46. One number is said to be greater than (>) another when it is
the same point on the number line
Converting mixed numbers to improper fractions.
farther to the right on the number line.
always clear the innermost groups first
47. Two angles whose sum equals 90 degrees
when there are explicit or implicit equations in the problem:
Axiom IV.
ordered pair
complementary angle
48. Every number is contained in itself once.
Axiom VII.
greatest common factor (GCF)
Sale Price - Unit Cost
If - after being fully reduced - the denominator Only has factors of 2 and/or 5 - the decimal will terminate
49. A ratio that shows the cost per unit of measure
To make sure to solve for Both cases.
pyramid
Being divided by a power of 10
unit ratio
50. Species and Number may be
A minus sign ( - ) is used for two entirely different purposes:
Homogenous or Heterogenous
proper fraction
before solving