1,141 terms

a combination of various GRE quizzes from different Quizlet users whom I find authoritative

Time per question: Sentence Equivalence

45 seconds

Time per question: Text Completion

30-90 seconds, depending on the number of blanks

Time per question: Reading Comprehension

1 min 30 seconds; plan to complete a short passage (2 questions) in about 3 minutes and a long one (3 questions) in about 4.5 minutes.

Time per question: Quantitative Comparisons

1 min 15 seconds

Time per question: Discrete Quant

2 min

Time per question: Data Interpretation

2 min

Last 30 seconds

Guess the last few questions, leave nothing blank

If you mark a question (to come back) remember to...

Always choose an answer, you can change it later. If you run out of time, at least it isn't left blank.

When taking a practice test...

Always use a timer. Use scrap paper. Take practice tests under standard testing conditions. Never hit the "pause" button.

Study session length of time

Study for no more than 2 hours at a time. Take a break and do something that doesn't require you to learn something new during that time.

Log your mistakes...

Keep a running log of the problems you got wrong. Not the type of problem and why you got it wrong. Find the relevant content in your study guide(s) and note the page # in your log. Try similar problems. Periodically go back through your error log to make sure you learn from your mistakes.

How to read RC Passages

1) Know the point/thesis statement. 2) Keep an eye out for contrast language such as: but, however, although, yet, despite. 3) Understand the purpose of each paragraph 4) Know where to find the details (but you don't need to know them) 5) Take heavily abbreviated notes while you read 6) Include the point, changes in direction, point of paragraphs

Verbal sections: When you have 15 minutes left...

You should be on question 11

Verbal sections: When you have 5 minutes left...

You should be on question 17

Quant sections: When you have 25 minutes left...

You should be on question 7

Quant sections: When you have 15 minutes left...

You should be on question 13

Quant sections: When you have 5 minutes left...

You should be on question 19

Quant sections: Only one math function in your head at a time

As soon as you get to your second function, write it on your scratch paper. Gives you a fighting shot on the hard questions. When your brain is tired, which it will be, you have a better chance at getting the easier questions right.

GRE Helpful Habit # 1

Write down everything! Ex: as soon as you see a Quant Comparison, write: A a b c d B, Write down everything! Ex: as soon as you see a Quant Comparison, write: A a b c d B

GRE Helpful Habit # 2

Don't skip steps! Write out every step. Go slow. Work for accuracy. The GRE is filled with answers which will look correct if you skip steps/writing things out.

GRE Helpful Habit # 3

Read the question (carefully)! The GRE questions are often worded in a tricky way. Be sure your answer actually answers the question.

GRE Helpful Habit # 4

Ballparking- estimate the answer and use POE to get rid of wrong answers. The answer choices are part of the question. Sometimes you don't need an exact answer, you just have to be in the ballpark.

GRE Helpful Habit # 5

Start with the end in mind. For example, if the answer choices are written as fractions, do the math as fractions. Convert percentages, etc to fractions before you do the math. Instead of getting a perfect answer and try to convert into a fraction.

GRE Helpful Habit # 5

Skip early and skip often. Remember you can mark questions (always guess before moving on). Take the "easy" test first, then come back and answer the hard questions.

GRE Helpful Habit # 6

Don't be intimidated! Questions/equations can look large and/or complicated, but often easily broken down into easier parts.

Perfect Squares 1-15

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

How to recognize if a # is a multiple of 12

The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3, and 44 is a multiple of 4, so 144 is a multiple of 12.)

Area of a rectangle

A = length x width

How to recognize a # as a multiple of 9

The sum of the digits is a multiple of 9.

Slope given 2 points

m= (Y1-Y2)/(X1-X2)

Circumference of a Circle

c=2 x pi x r

OR pi x D

OR pi x D

Area of a circle

A=pi*(r^2)

Perimeter of a rectangle

P= 2L + 2w

How to recognize a multiple of 6

Sum of digits is a multiple of 3 and the last digit is even.

Volume of a rectangular box

V=L**w**h

How to recognize a # as a multiple of 4

The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4, so 144 must also be a multiple of 4.)

How to recognize a # as a multiple of 3

The sum of the digits is a multiple of 3

(i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)

(i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)

Area of a triangle

A= (1/2) b*h

When dividing exponential #s with the same base, you do this to the exponents...

Subtract them.

i.e (5^7)/(5^3)= 5^4

i.e (5^7)/(5^3)= 5^4

When multiplying exponential #s with the same base, you do this to the exponents...

Add them.

i.e. (5^7) * (5^3) = 5^10

i.e. (5^7) * (5^3) = 5^10

First 10 prime #s

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself

Find distance when given time and rate

d=rt so r= d/t and t=d/r

binomial product of (x+y)(x-y)

x²-y²

factored binomial product of (x+y)²

x²+2xy+y²

factored binomial product of (x-y)²

x²-2xy+y²

binomial product of (x+y)²

(x+y)(x+y)

binomial product of (x-y)²

(x+y)(x-y)

the measure of a straight angle

180°

the slope of a line in y=mx+b

m

Pythagorean theorem

a²+b²=c²

If a is inversely porportional to b, what does it equal?

ab=k

(k is a constant)

(k is a constant)

#1 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

• The longest side is opposite the largest (biggest) angle.

#2 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

• The shortest side is opposite the smallest angle.

#3 What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?

• Sides with the same lengths are opposite angles with the same measure.

If y is directly proportional to x, what does it equal?

y/x is a constant

What is a percent?

A percent is a fraction whose denominator is 100.

#1 What is an important property of a 30-60-90 triangle?

• The triangle is a right triangle.

#2 What is an important property of a 30-60-90 triangle?

• The hypotenuse is twice the length of the shorter leg.

#3 What is an important property of a 30-60-90 triangle?

• The ratio of the length of the three sides is x:x√3:2x

The negative exponent x⁻ⁿ is equivalent to what?

1/xⁿ

i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

formula for area of a triangle

A=½bh

formula for volume of a rectangular solid

V=l×w×h

formula for the volume of a cube

V=side³

#1 What are the important properties of a 45-45-90 triangle?

• The triangle is a right triangle.

#2 What are the important properties of a 45-45-90 triangle?

• The triangle is isosceles (AC=BC).

#3 What are the important properties of a 45-45-90 triangle?

• The ratio of the lengths of the three sides is x:x:x√2.

formula for distance problems

distance=rate×time or d=rt

The sum of the angles in a quadrilateral is

360°

The sum of the measures of the n angles in a polygon with n sides

(n-2) x 180

In any polygon, all external angles equal up to

360°

In a Regular Polygon, the measure of each exterior angle

360/n

The consecutive angles in a parallelogram equal

180°

A quadrilateral where two diagonals bisect each other

Parallelogram

In a rectangle, all angles are

Right

In a Rectangle, each angles measures

90°

The Perimeter of a rectangle

P=2(l+w)

The Perimeter of a Square

P=4s (s=side)

Area of a Parallelogram:

A=(base)(height)

(x-y)(x+y)

x²-y²

(x-y)²

x²-2xy+y²

(x+y)²

x²+2xy+y²

An Angle that's 180°

Straight Angle

The sum of all angles around a point

360°

If a pair of parallel lines is cut by a transversal that's not perpendicular, the sum of any acute angle and any obtuse angle is

180

Acute Angle an angle that is less than 90°

Obtuse Angle:angle that is greater than 90° but less than 180°

Acute Angle an angle that is less than 90°

Obtuse Angle:angle that is greater than 90° but less than 180°

Distance

(rate)(time) d=rt

Rate

d/t (distance)/(time)

Time

(distance)/(rate) d/r

How do you solve proportions?

a/b=c/d

a/b=c/d

Cross multiplication

a/b=c/d

4/6=10/15

4(15)=6(10) 60=60

a/b=c/d

4/6=10/15

4(15)=6(10) 60=60

If a lamp increases from $80 to $100, what is the percent increase?

= 25%.

= (actual increase/original amount) x 100%

= 20/80 x 100% = 1/4 x 100% = 25%

= (actual increase/original amount) x 100%

= 20/80 x 100% = 1/4 x 100% = 25%

The percent decrease of a quantity

= (actual decrease/Original amount) x 100%

If a lamp decreases to $80, from $100, what is the decrease in price?

= (actual decrease/Original amount) x100%

= 20/100x100% = 20%

= 20/100x100% = 20%

To increase a number by x%

multiply by 1+x%

i.e. 100 x (1+50%)=100x1.5=150

i.e. 100 x (1+50%)=100x1.5=150

To decrease a number by x%

multiply by 1-x%

i.e. 100 x (1-50%)=100x.5=50

i.e. 100 x (1-50%)=100x.5=50

THE DENOMINATOR CAN NEVER

BE ZERO! 1/∅=null

If a>b then

-a<-b

The reciprocal of any non-zero number is

1/x

Probability of an Event

P(E) = number of favorable outcomes/total number of possible outcomes

If Event is impossible

P(E) = ø

If E is certain

P(E) = 1/1 = 1

Probability of Event all cases

∅≤P(E)≤1

Probability of E not occurring:

1 - P(E)

Circumference of a circle

pi(diameter)

Circumference of a circle

2(pi)r

Area of a circle

(pi)r²

Volume of a rectangular solid

(length)(width)(height)

Volume of a cube

edge³

Vertical lines

Do not have slopes!

Any Horizontal line slope

zero

Slope of any line that goes up from left to right

Positive

Slope of any line that goes down as you move from left to right is

Negative

Slope

y₂-y₁/x₂-x₁

For any number x

Can be negative, zero, or positive

X is the opposite of

-X

3 is the opposite of

-3

The only number that is equal to its opposite

∅ ∅=∅

Product of any number and ∅ is

∅

If a product of two numbers is ∅, one number must be

∅

7 divided by ∅

Null

∅ divided by 7

∅

The product of odd number of negative numbers

Negative

The reciprocal of any non-zero #x is

1/x

The product of any number x and its reciprocal

1

Dividing by a number is the same as multiplying it by its

Reciprocal

∅ Is neither

Positive or Negative

Consecutive integers

x, x+1, x+2

One is (a prime or not?)

NOT A PRIME

Positive integers that have exactly 2 positive divisors are

Prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23)

∅ Is

EVEN

∅ is a multiple of

Two (∅×2=∅)

∅ is a multiple of

Every number

2 is the only

Even prime number

b¹

1

bⁿ

b∧b∧b (where b is used as a factor n times)

2⁵×2³

2⁸

2⁵/2³

2²

(2²)³

2⁶

2³×7³

(2x7)³

∅²

∅

If a is positive, aⁿ is

Positive

If a is negative and n is even then aⁿ is (positive or negative?)

aⁿ is positive

-3²

9

-3³

-27

a(b+c)

ab+ac

a(b-c)

ab-ac

a>b then a - b is positive or negative?

a-b is positive

a<b then a - b is positive or negative?

a-b is negative

If a<b, then

a+c<b+c

∅ is

Even

∅ is

A multiple of every integer

a/∅

Null

1ⁿ

1

1 is a divisor of

every number

1 is the

smallest positive integer

1 is an

ODD number

30 60 90

x, x(SR3), 2x

30 60 90

3, 4, 5

30 60 90

5, 12, 13

30 60 90

3x, 4x, 5x

25^(1/2) or sqrt. 25 =

5 OR -5

Number of degrees in a triangle

180

What are the real numbers?

All the numbers on the number line (negative, rational, irrational, decimal, integer). All the numbers on the GRE are real. (-2, 1, .25, 1/2, pi)

What are the rational numbers?

All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2, 1, .25, 1/2)

What are the irrational numbers?

All real numbers which can't be expressed as a ratio of two integers, positive and negative (pi, -sqrt3)

What are the integers?

All numbers multiples of 1.

1/2 divided by 3/7 is the same as

1/2 times 7/3

A number is divisible by 3 if ...

the sum of its digits is divisible by 3.

A number is divisible by 4 is...

its last two digits are divisible by 4.

A number is divisible by 6 if...

its divisible by 2 and by 3.

A number is divisible by 9 if...

the sum of digits is divisible by 9.

10<all primes<20

11, 13, 17, 19

20<all primes<30

23, 29

30< all primes<40

31, 37

40 < all primes<50

41, 43, 47

50 < all primes< 60

53, 59

60 < all primes <70

61, 67

70 < all primes< 80

71, 73, 79

1/8 in percent?

12.5%

1/6 in percent?

16.6666%

3/8 in percent?

37.5%

5/8 in percent?

62.5%

7/8 in percent?

87.5%

5/6 in percent?

83.333%

x^4 + x^7 =

x^(4+7) = x^11

x^6 / x^3

x^(6-3) = x^3

(x^2)^4

x^(2(4)) =x^8 = (x^4)^2

a^0 =

1

0^0

undefined

Can you add sqrt 3 and sqrt 5?

No, only like radicals can be added.

Can you subtract 3sqrt4 from sqrt4?

Yes, like radicals can be added/subtracted.

(6sqrt3) x (2sqrt5) =

(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

(12sqrt15) / (2sqrt5) =

(12/2) x (sqrt15 / sqrt5) = 6sqrt3

Can you simplify sqrt72?

Yes, because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

10^6 has how many zeroes?

6

To multiply a number by 10^x

move the decimal point to the right x places

What does scientific notation mean?

Expressing a number as the product of a decimal between 1 and 10, and a power of 10.

Define a "term",

A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x, 4x^2 and 2a/c)

Define an "expression".

An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy, 4ab, -5cd, x^2 + x - 1)

Define a "monomial"

An expression with just one term (-6x, 2a^2)

a^2 - b^2 =

(a - b)(a + b)

a^2 + 2ab + b^2

(a + b)^2

Solve the quadratic equation ax^2 + bx + c= 0

x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

If an inequality is multiplied or divided by a negative number....

the direction of the inequality is reversed.

What is the "domain" of a function?

The set of input values for a function.

What is the "range" of a function?

The set of output values for a function.

What is the order of operations?

PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

What is the sum of the angles of a triangle?

180 degrees

Factor a^2 + 2ab + b^2

(a + b)^2

a^2 - 2ab + b^2

(a - b)^2

a^2 - b^2

(a - b)(a + b)

What is the "range" of a series of numbers?

The greatest value minus the smallest.

How to determine percent decrease?

(amount of decrease/original price) x 100%

Area of a triangle?

(base*height) / 2

What is an isoceles triangle?

Two equal sides and two equal angles.

Circumference of a circle?

Diameter(Pi)

How to find the circumference of a circle which circumscribes a square?

Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

When does a function automatically have a restricted domain (2)?

When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

The larger the absolute value of the slope...

the steeper the slope.

What is the slope of a horizontal line?

0

What is the slope of a vertical line?

Undefined, because we can't divide by 0.

What are "supplementary angles?"

Two angles whose sum is 180.

If the two sides of a triangle are unequal then the longer side.................

lies opposite the greater angle

What is a chord of a circle?

A chord is a line segment joining two points on a circle.

What is a central angle?

A central angle is an angle formed by 2 radii.

What is a tangent?

A tangent is a line that only touches one point on the circumference of a circle.

Pi is a ratio of what to what?

Pi is the ratio of a circle's circumference to its diameter.

Formula to find a circle's circumference from its diameter?

C = (pi)d

Formula to find a circle's circumference from its radius?

C = 2(pi)r

What is an arc of a circle?

An arc is a portion of a circumference of a circle.

What is a minor arc?

The shortest arc between points A and B on a circle's diameter.

What is a major arc?

The longest arc between points A and B on a circle's diameter.

Formula to calculate arc length?

Arc length = (n/360) x pi(2r) where n is the number of degrees.

Formula for the area of a circle?

A = pi(r^2)

Formula for the area of a sector of a circle?

Sector area = (n/360) X (pi)r^2

What is the "solution" for a system of linear equations?

The point of intersection of the systems.

What is the "solution" for a set of inequalities.

The overlapping sections.

What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?

A reflection about the origin.

What is the graph of f(x) shifted upward c units or spaces?

f(x) + c

What is the graph of f(x) shifted downward c units or spaces?

f(x) - c

What is the graph of f(x) shifted left c units or spaces?

f(x + c)

What is the graph of f(x) shifted right c units or spaces?

f(x-c)

What are complementary angles?

Two angles whose sum is 90.

What are congruent triangles?

Triangles with same measure and same side lengths.

Legs: 3, 4. Hypotenuse?

5

Legs 6, 8. Hypotenuse?

10

Legs 5, 12. Hypotenuse?

13

Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14

2 & 3/7

8.84 / 5.2

1.7

Evaluate 4/11 + 11/12

1 & 37/132

Evaluate 3& 2/7 / 1/3

9 & 6/7

200 <_ x <_ 300. How many values of x are divisible by 5 & 8?

3

What number between 70 & 75, inclusive, has the greatest number of factors?

72

What are the smallest three prime numbers greater than 65?

67, 71, 73

Which is greater? 64^5 or 16^8

16^8

64^5 = (4^3)^5 = 4^15

16^8=(4^2)^8 = 4^16

64^5 = (4^3)^5 = 4^15

16^8=(4^2)^8 = 4^16

Evaluate (4^3)^2

4096

Write 10,843 X 10^7 in scientific notation

1.0843 X 10^11

True or false? 4.809 X 10^7 = .0004809 X 10^11

True

If a=-1 and b=3, what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?

20.5

T or F? Given d,e &f =/ 0, [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?

True

Simplify 4sqrt21 X 5sqrt2 / 10sqrt7

2sqrt6

Simplify 9^(1/2) X 4^3 X 2^(-6)?

3

5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same, what is the average of muffins per bakery sold among the remaining?

500

Reduce: 4.8 : 0.8 : 1.6

6 : 1 : 2

Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?

9 : 25

What percent of 40 is 22?

55%

Convert 0.7% to a fraction.

7 / 1000

Hector invested $6000. Part was invested in account with 9% simple annual interest, and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments, how much did he invest in each account?

$3,500 in the 9% and $2,500 in the 7%.

Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week, how many did each work?

48

The perimeter of a square is 48 inches. The length of its diagonal is:

12sqrt2

If Madagascar's exports totaled 1.3 billion in 2009, and 4% came from China, what was the value in millions of the country's exports to China?

52

Whats the difference between factors and multiples?

Factors are few, multiples are many.

How many multiples does a given number have?

Infinite.

P and r are factors of 100. What is greater, pr or 100?

Indeterminable.

If r, t, s & u are distinct, consecutive prime numbers, less than 31, which of the following could be an average of them (4, 4.25, 6, 9, 24, 22, 24)

4.25, 6, 22

Is 0 even or odd?

Even

How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]

0

What are the roots of the quadrinomial x^2 + 2x + 1?

The two xes after factoring.

Factor x^2 - xy + x.

x(x - y + 1)

Simplify the expression [(b^2 - c^2) / (b - c)]

(b + c)

Simplify (a^2 + b)^2 - (a^2 - b)^2

4a^2(b)

What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?

cd

Simplify the expression (p^2 - q^2)/ -5(q - p)

(p + q)/5

What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?

2

(a^-1)/a^5

1/a^6

x^2 = 9. What is the value of x?

3, -3

6w^2 - w - 15 = 0

-3/2 , 5/3

5x^2 - 35x -55 = 0

[(7+ sqrt93) /2], [(7 - sqrt93) / 2]

If 10800 is invested at a simple interest rate of 4%, what is the value of the investment after 18 months?

$11,448

If 4500 is invested at a simple interest rate of 6%, what is the value of the investment after 10 months?

4725

What is the maximum value for the function g(x) = (-2x^2) -1?

-1

For what values should the domain be restricted for the function f(x) = sqrt(x + 8)

-8

What transformation occurs if point C is reflected over the x-axis and then the y-axis?

A reflection about the axis.

The four angles around a point measure y, 2y, 35 and 55 respectively. What is the value of y?

90

For similar triangles, the ratio of their corresponding sides is 2:3. What is the ratio of their areas?

4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

What is the ratio of the sides of an isosceles right triangle?

1:1:sqrt2

1:1:sqrt2 is the ratio of the sides of what kind of triangle?

An isosceles right triangle.

What is the ratio of the sides of a 30-60-90 triangle?

1:sqrt3:2

1:sqrt3:2 is the ratio of the sides of what kind of triangle?

A 30-60-90 triangle.

What is the side length of an equilateral triangle with altitude 6?

4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...

In a triangle where the two legs are 4 and 3, what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?

2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6

Describe the relationship between 3x^2 and 3(x - 1)^2

The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

Describe the relationship between the graphs of x^2 and (1/2)x^2

The second graph is less steep.

Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?

y = (x + 5)/2

Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?

y = 2x^2 - 3

How many sides does a hexagon have?

6

What is an exterior angle?

An angle which is supplementary to an interior angle.

What is the measure of an exterior angle of a regular pentagon?

72

The ratio of the areas of two similar polygons is ...

... the square of the ratios of the corresponding sides.

In similar hexagons, the ratio of the areas is 16:25. What is the ratio of their corresponding sides?

4:5

What is the area of a regular hexagon with side 6?

54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?

13pi / 2

A cylinder has a surface area of 22pi. If the cylinder has a height of 10, what is the radius?

1

What is the third quartile of the following data set: 44, 58, 63, 63, 68, 70, 82

70

If the 80th percentile of the measurements is 72degrees, about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth

18

The objects in a set are called two names:

members or elements

What are the members or elements of a set?

The objects within a set.

What is a finite set?

A set with a number of elements which can be counted.

What is the name of set with a number of elements which cannot be counted?

An infinite set.

What is a subset?

a grouping of the members within a set based on a shared characteristic.

What is the name for a grouping of the members within a set based on a shared characteristic?

A subset.

What is the empty set?

A set with no members, denoted by a circle with a diagonal through it.

What is a set with no members called?

the empty set, denoted by a circle with a diagonal through it.

What is the "union" of A and B?

The set of elements which can be found in either A or B.

What is the set of elements which can be found in either A or B?

The union of A and B.

What is the intersection of A and B?

The set of elements found in both A and B.

What is the set of elements found in both A and B?

The interesection of A and B.

If you have a set of n objects, but you only want to order k of them, what formula do you use to determine the number of permutations?

n! / (n-k)!

Suppose you have a set of n objects, and you want to select k of them, but the order doesn't matter. What formula do you use to determine the number of combinations of n objects taken k at a time?

n! / (k!)(n-k)!

How many 3-digit positive integers are even and do not contain the digit 4?

288 (8 ** 9 ** 4)

From a box of 12 candles, you are to remove 5. How many different sets of 5 candles could you remove?

12! / 5!7! = 792

There are 10 finalists for the school spelling bee. A first, second, and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?

10! / (10-3)! = 720

There are 10 finalists for the school spelling bee. A first, second, and third place trophy will be awarded. How many different people can get the three prizes?

10! / 3!(10-3)! = 120

A company places a 6-symbol code on each product. The code consists of the letter T, followed by 3 numerical digits, and then 2 consonants (Y is a conson). How many codes are possible?

441000 = 1 * 10 * 10 ** 10 **** 10 ** = 1 * 10 * 10 * 10 * 21 * 21

Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?

2^9 / 2 = 256

Find the surface area of a cylinder with radius 3 and height 12.

90pi

What is the surface area of a cylinder with radius 5 and height 8?

130pi

A cylinder has surface area 22pi. If the cylinder has a height of 10, what is its radius?

1

What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2, 4, and 6?

75:11

A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12, 18, and 30. What is the weight of the second brick?

2.592 kg

If 8 schools are in a conference, how many games are played if each team plays each other exactly once?

28. n = 8, k = 2. n! / k!(n-k)!

Which is greater? 27^(-4) or 9^(-8)

27^(-4)

Which is greater? 200x^295 or 10x^294?

Relationship cannot be determined (what if x is negative?)

abate

to decrease; reduce

abdicate

to give up a position, right, or power

aberrant

deviating from what is normal

abeyance

temporary suppression or suspension

abject

miserable; pitiful

abjure

to reject; abandon formally

abscission

the act of cutting; the natural separation of a leaf or other part of a plant

abscond

to depart secretly

abstemious

moderate in appetite

abstinence

the giving up of certain pleasures

abysmal

very bad

accretion

growth in size or increase in amount

accrue

to accumulate; grow by additions

adamant

uncompromising; unyielding

adjunct

something added, attached, or joined

admonish

to caution or reprimand

adulterate

to corrupt or make impure

aesthetic

relating to beauty or the arts

affected

pretentious; phony

affinity

fondness; liking; similarity

aggrandize

to make larger or greater

aggregate

amounting to a whole; total

alacrity

cheerful willingness; eagerness; speed

alchemy

medieval chemical philosophy based on changing metal into gold; a seemingly magical power or process of transmutation

allay

to lessen; ease; soothe

alleviate

to relieve; improve partially

alloy

a combination; a mixture of two or more metals

allure

the power to entice by charm

amalgamate

to combine into a unified whole

ambiguous

unclear or doubtful in meaning

ambivalence

the state of having conflicting emotional attitudes

ambrosia

something delicious; the food of the gods

ameliorate

to improve

amenable

agreeable; cooperative; suited

amenity

something that increases comfort

amulet

ornament worn as a charm against evil spirits

anachronism

something out of the proper time

analgesic

medication that reduces or eliminates pain

analogous

comparable

anarchy

absence of government; state of disorder

anodyne

something that calms or soothes pain

anomalous

irregular; deviating from the norm

antecedent

something that comes before

antediluvian

prehistoric

antipathy

dislike; hostility

apathy

indifference

apex

the highest point

apogee

the point in an orbit most distant from the body being orbited; the highest point

apothegm

a terse, witty saying

appease

to calm, pacify, placate

appellation

name

apposite

strikingly appropriate and relevant

apprise

to inform

approbation

praise, approval

appropriate

to take possession of for one's own use; confiscate

apropos

relevant

arabesque

ornate design featuring intertwined curves; a ballet position in which one leg is extended in back while the other supports the weight of the body

archeology

the study of material evidence of past human life

ardor

great emotion or passion

arduous

extremely difficult; laborious

argot

a specialized vocabulary used by a group

arrest

to stop; to seize

artifact

item made by human craft

artless

guileless; natural

ascetic

one who practices self-denial

asperity

severity; harshness; irritability

aspersion

slander; false rumor

assiduous

diligent; hard-working

assuage

to make less severe

astringent

harsh; severe

asylum

place of refuge or shelter

atavism

in biology, the reappearance of a characteristic in an organism after several generations of absence; individual or a part that exhibits atavism; return of a trait after a period of absence

attenuate

to weaken

audacious

bold; daring

austere

stern; unadorned; simple

autonomous

self-governing; independent

avarice

greed

aver

to affirm; declare to be true

avocation

secondary occupation

avuncular

like an uncle, benevolent and tolerant

axiomatic

taken for granted; self-evident truth

bacchanalian

pertaining to riotous or drunken festivity; pertaining to revelry

banal

commonplace; trite

banter

playful conversation

bard

poet

bawdy

obscene

beatify

to sanctify; to bless; to ascribe a virtue to

bedizen

to dress in a vulgar, showy manner

behemoth

huge creature; anything very large and powerful

belie

to contradict; misrepresent; give a false impression

beneficent

kindly; doing good

bifurcate

to divide into two parts

blandishment

flattery

blase

bored because of frequent indulgence; unconcerned

bolster

to give a boost to; prop up; support

bombastic

pompous; using inflated language

boorish

rude; insensitive

bovine

cowlike

brazen

bold; shameless

broach

to mention for the first time

bucolic

characteristic of the countryside; rustic; pastoral

burgeon

to grow and flourish

burnish

to polish

buttress

to reinforce; support

cacaphonous

unpleasant or harsh-sounding

cadge

to beg; sponge

callous

thick-skinned; insensitive

calumny

false and malicious accusation; slander

canard

false; deliberately misleading story

canon

an established set of principles; a basis or standard for judgment; a group of literary works

cant

insincere talk; language of a particular group

cantankerous

irritable; ill-humored

capricous

fickle

captious

faultfinding; intended to entrap, as in an argument

cardinal

of foremost importance

carnal

of the flesh or body; related to physical appetities

carping

to find fault; complain

cartography

science of making maps

caste

any of the hereditary social classes in Hindu society; social stratification

castigation

punishment; chastisement; criticism

cataclysm

a violent upheaval that causes great destruction and change

catalyst

something that causes change

categorical

absolute; without exception

caucus

smaller group within an organization

causal

involving a cause

caustic

burning; stinging; causing corrosion

celestial

concerned with sky or heavens; sublime

centrifugal

moving away from a center

centripetal

moving or directed toward a center

champion

to defend or support

chasten

to correct by punishment or reproof; to restrain or subdue

chicanery

trickery; fraud

chivalry

the qualities idealized by knighthood such as bravery and gallantry toward women

churlish

rude; boorish

circuitous

roundabout

clamor

noisy outcry

clique

a small, exclusive group

cloister

to confine; seclude

coagulate

thicken; congeal

coalesce

to cause to become one

coda

concluding part of a literary or musical composition; something that summarizes or concludes

codify

to systematize

cognizant

informed; conscious; aware

collage

artistic composition of materials pasted over a surface; an assemblage of diverse elements

commensurate

proportional

compendium

brief, comprehensive summary

complacent

self-satisfied

complaisant

overly polite; willingness to comply with the wishes of others

complement

something that completes or makes up a whole

compliant

yielding

compunction

uneasiness caused by guilt

concave

curving inward

conciliatory

overcoming distrust or hostility

concoct

to invent

concomitant

existing concurrently

condone

to overlook voluntarily; forgive

confound

to baffle; perplex; mix up

congenial

similar in tastes and habits; friendly; suited to

conjugal

pertaining to marriage agreement

connoisseur

expert in matters of taste; expert knowledge or training

conscript

a person compulsorily enrolled for military service

consecrate

to declare sacred

contend

to assert

contentious

quarrelsome; causing quarrels

contiguous

touching; neighboring; connecting without a break

continence

self-control; abstention from sexual activity

contrite

very sorrowful for a wrong; seeking forgiveness

contumacious

disobedient; rebellious

conundrum

riddle; puzzle with no solution

convention

practice widely observed in a group; custom; accepted technique or device

converge

to approach; come together; tend to meet

convex

curved outward

convivial

sociable

convoluted

twisted; complicated

copious

abundant; plentiful

coquette

woman who flirts

cornucopia

horn overflowing with fruit and grain; state of abundance

cosmology

study of the universe as a totality; theory of the origin and structure of the universe

covert

hidden; secret

covetous

desiring something owned by another

cozen

to mislead by trick or fraud; decieve

craven

cowardly

credence

acceptance of something as true

credo

statement of belief or principle; creed

daunt

to discourage; intimidate; dishearten

dearth

scarcity

debauchery

corruption

decorum

proper behavior

defame

to malign; harm someone's reputation

default

to fail to act

deference

respect; regard for another's wish

defunct

no longer existing

delineate

to represent or depict

demographic

related to population balance

demotic

pertaining to people

demur

to express doubt; question or oppose

denigrate

to slur someone's reputation

denizen

an inhabitant; a regular visitor

denouement

outcome; unraveling of the plot of a play or work of literature

clairvoyant

one who can predict the future; psychic

deride

to mock

derivative

something derived; unoriginal

desiccate

to dry completely

desuetude

state of disuse

desultory

random; disconnected; rambling

deterrent

something that discourages or hinders

detraction

the act of taking away

diaphanous

transparent; vague; insubstancial

diatribe

bitter verbal attack

dichotomy

division into two usually contradictory parts

diffidence

shyness; lack of confidence

diffuse

to spread out

digression

act of straying from the main point

dirge

funeral hymn

disabuse

free from a misconception

discerning

perceptive; exhibiting keen insight and good judgement

discomfit

to make uneasy; disconcert

discordant

not in tune

discredit

to dishonor; disgrace

discrepancy

difference between

discrete

constituing a separate thing; distinct

discretion

quality of showing self-restraint in speech or actions

disingenuous

not candid, crafty

disinterested

unpredujiced; objective

disjointed

lacking order or coherence; dislocated

dismiss

put away from consideration; reject

disparage

to belittle

disparate

dissimilar

dissemble

to pretend; disguise one's motives

disseminate

to spread; scatter; disperse

dissolution

disintegration;debauchery

dissonance

discord; lack of harmony

distend

to expand; swell out

distill

extract the essential elements

distrait

inattentive; preoccupied

diverge

to vary; go in different directions from the same point

divest

to strip; deprive; rid

divulge

to make known something that is secret

document

to provide with written evidence to support

doggerel

poor verse

dogmatic

stating opinions without proof

dormant

inactive

dross

waste; worthless matter

dupe

to deceive; trick

ebullient

exhilarated; overly enthusiastic

eclectic

selecting from various sources

effervescence

state of high spirits or liveliness; process of bubling as gas escapes

effete

depleted of vitality; overrefined; decadent

dissident

person who disagrees about beliefs

doctrinaire

dogmatic; unyielding

efficacy

effectiveness; efficiency

effrontery

shameless boldness; presumptuousness

egoism

the tendency to see things in relation to oneself; self-centeredness

egotistical

excessively self-centered; conceited

elegy

poem or song expressing lamentation

elicit

to provoke; draw out

elixir

a sustance believed to have the power to cure ills

Elysian

delightful; blissful

emaciated

thin and wasted

embellish

to adorn; enhance

emollient

soothing; mollifying

empirical

derived from observation or experiment

emulate

to imitate; copy

encomium

a formal expression of praise

endemic

inherent; belonging to an area

enervate

to weaken

engender

to cause; produce

enhance

to increase; improve

entomology

the scientific study of insects

enunciate

to pronounce clearly

ephemeral

short-lived; fleeting

epistemology

branch of philosophy tha texamines the nature of knowledge

equable

steady; unvarying; serene

equanimity

composure; calmness

equivocate

intentionally use vague language

errant

mistaken; straying from the proper course

erudite

learned; scholarly

esoteric

hard to understand; known only to a few

essay

to make an attempt; subject to a test

estimable

admirable; possible to estimate

ethnocentric

based on the attitude tha one's group is superior

etiology

causes or origins

etymology

origin an history of a word

eugenics

study of factors that influence the hereditary qualities of the human race and ways to improve those qualities

eulogy

high praise to a death person

euphemism

use of agreeable or inoffensive language in place of offensive language

euphoria

feeling of extreme happiness

euthanasia

mercy killing

evince

to show plainly; be an indication of

evocative

tending to call to mind or produce a reaction

exacerbate

to aggravate; make worse

exact

to force the payment of; demand and obtain by authority

exculpate

to clear of blame; vindicate

execrable

detertable; abhorrent

exhort

to urge by strong appeals

exigency

crisis; urgent requirements

existential

having to do with existence

exorcise

to expel evil spirits; free from bad influences

expatiate

to speak or write at length

expatriate

to send into exile

expiate

to atone for

explicate

to explain;interpret;clarify

expository

explanatory

extant

in existence; not lost

extemporaneous

unrehearsed

extirpate

to root up; to destroy

extraneous

not essencial

extrapolation

the act of estimation by projecting known information

extrinsic

not inherent of essential

facetious

homorous

facilitate

to make less difficult

factotum

a person who does all sorts of work; a handyman

fallacious

based on a false idea or fact; misleading

fallow

plowed but not sowed; uncultivated

fatuous

foolishly self-satisfied

fauna

animals of a period o region

fawning

seeking flavor by flattering

felicitous

suitable expressed; wee-chose; appropiate

feral

existing in a wild or untamed state

fervor

warmth and intensity of emotion

fetid

having a bad smell

fetter

to bind; confine

fiat

arbitray order; authorization

fidelity

loyalty; exact correspondence

filibuster

use of obstructive tactics in a legislature to block passage of a law

finesse

to handle with a deceptive or evasive strategy; refined in performance

fissure

crevice

flag

to droop; grow weak

fledging

beginner; novice

flora

plants of a region or era

flourish

en embellishment or ornamentation

flout

to treat scornfully

flux

flowing; a continuous moving

foment

to incite; arouse

forbearance

patience

forestall

to prevent; delay

formidable

menacing; threatening

forswear

renounce; repudiate

founder

to sink; fail; colapse

fracas

a loud quarrel; brawl

fractious

quarrelsome; unruly; rebellious

fresco

a painting done on plaster

frieze

ornamental band on a wall

froward

stubbornly contrary; obstinately disobedient

frugality

thrift

fulminate

to attack loudly; denounce

fulsome

so excessive as to be disgusting

fusion

union; synthesis

futile

ineffective; useless; fruitless

florid

ruddy; reddish; flowery

gainsay

to deny; dispute; oppose

gambol

to frolic; leap playfully

garrulous

very talkative; wordy

gauche

coarse and uncouth; clumsy

geniality

cheerfulness; kindliness; sociability

gerrymander

to divide an area into voting districts in a way that favors a political party

glib

fluent in an insincere way; offhand

goad

to prod; urge on

gossamer

sheer; light and delicate; like cobwebs

gouge

to tear out; scoop out; overcharge

grandiloquent

pompous; bombastic

gregarious

outgoing; sociable

grouse

to complain

guileless

free of cunning or deceit; artless

guise

outward appearance; false appearance

gullible

easily deceived

gustatory

affecting the sense of taste

halcyon

calm and peaceful; happy; golden; prosperous

hallowed

holy; sacred

harangue

long, pompous speech; tirade

harrowing

extremely distressing; terrifying

herbivorous

an animal that feeds mainly on plants

hermetic

tighly sealed; magical

heterodox

not widely accepted

hieroglyphics

a system of writing in which pictorial symbols represent meanings or sounds; wirting or symbols that are difficult to decipher

hirsute

covered with hair

histrionic

relating to exaggerated emotional behavior calculated for effect; theatrical acts or performances

homeostasis

automatic maintenance by an organism in balance with itself

homily

sermon; tedious moralizing lecture

homogeneous

composed of identical parts; uniform in composition

hyperbole

purposeful exaggeration for effect

iconoclastic

attacking cherished traditions

idolatry

idol worship; blind or excessive devotion

igneous

produced by fire; volcanic

imbroglio

complicated situation; an entanglement

immutable

inchangeable

impair

to damage; injure

impassive

showing no emotion

impecunious

poor; having no money

impede

to hinder; block

impermeable

impossible to permeate

imperturbable

not easily disturbed

impervious

incapable of being affected; impossible to penetrate

impinge

to strike; encroach

implacable

inflexible; incable of being pleased or calmed down

implausible

unlikely; unbelievable

implicit

implied; understood but not stated

implode

collapse inward violently

imprecation

curse; damnation

impute

to attribute the fault to; relate to a particular cause or source

inadvertenly

carelessly; unintentionally

incarnate

having bodily form

inchoate

imperfectely formed or formulated

incongruity

state of not fitting

inconsequencial

insgnificant; unimportant

incorporate

introduce something into another thing already in existence

incursion

sudden invasion

indeterminate

uncertain; indefinite

indigence

poverty

indolent

habitually lazy; idle

ineluctable

not to be avoided or escaped; inevitable

inert

unable to move; sluggish

ingenous

naive and trusting; lacking sophistication

inherent

firmly established by nature or habit

innocuous

harmless

insensible

unconscious; unresponsive

insinuate

to suggest; say indirectly; imply

insipid

lacking in flavor; dull

insouciant

indifferent; lacking concern or care

insularity

narrow-mindedness; isolation

insuperable

insurmountable; unconquerable

intangible

not material

interdict

to forbid; prohibit

internecine

deadly to both sides

interpolate

to insert; change by adding new words or material

interregnum

interval between reigns; gap in continuity

intimate

marked by close acquaintance

intractable

not easily managed

intransigence

stubbornness; refusal to compromise

introspective

contemplating one's own thoughts and feelings

inundate

to cover with water, overwhelm

inured

hardened; accustomed; used to

invective

verbal abuse

inveigh

to disapprove; protest vehemently

inveigle

to win over by flattering or coaxing

inveterate

confirmed; long standing

invidious

likely to provoke ill will

irascible

easily angered

irresolute

unsure of how to act; weak

itinerant

wandering from place to place; unsettled

itinerary

route of a traveler's journey

jaundiced

havind a yellowish discoloration of the skin; affected by envy

jibe

to be in agreement

jocose

fond of joking; jocular

juggernaut

huge froce destrying everything in its path

junta

group of people united in political intrigue

juxtapose

place side by side

kudos

fame; glory; honor

labile

likely to change

laconic

using few words

lambaste

to trash verbally or physically

lascivious

lustful

lassitude

lethargy; sluggishness

latent

dormant; potential not apparent

laud

praise

lethargic

inactive

levee

en embankment that prevents a river from overflowing

levity

light manner or attitude

liberal

tolerant; broad-minded

libertine

one without moral restraint

libido

sexual desire

lilliputian

extremely small

limn

to draw, describe

limpid

clear; transparent

linguistic

pertaining to language

litany

lengthy recitation; repetitive chant

literati

scholarly of learned persons

litigation

legal proceedings

log

record of a voyage; record of daily activities

loquacious

talkative

lucid

bright; clear; intelligible

lucre

money or profits

luminous

bright; brilliant; glowing

lustrous

shining

machiavellian

crafty; double-dealing

machinations

plots or schemes

maelstrom

whirpool; turmoil

magnaminity

generosity; nobility

malign

to speak evil of

malinger

to feign illness to escape duty

malleable

capable of being shaped by pounding; impressionate

maverick

dissenter

megalomania

delusions of power or importance

menagerie

a variety of animals kept together

mendacious

dishonest

mendicant

beggar

meretricious

gaudy; specious; flasely attractive

mesmerize

to hypnotize

metamorphosis

change; transformation

metaphysics

a branch of philosophy tha tinvestigates the ultimate nature of reality

metereological

concerned with the weather

meticulous

very careful; picky; fastidious

mettle

courage; endurance

mettlesome

full of courage and fortitude

microcosm

a small system having analogies to a larger system

militate

to work against

minatory

threatening; menacing

minuscule

very small

minutia

petty details

misanthrope

one who hates humanity; one who dislikes others

miscellany

mixture of writtings on various subjects

miscreant

villain; criminal

misogynist

one who hates women

mitigate

alleviate; to become less severe

mnemonic

realated to memory; assisting memory

modicum

limited quantity

mollify

to soothe

monolithic

solid and uniform; constituing a single, unified whole

morose

ill-humored; sullen

motley

many colored; made up of many parts

multifarious

diverse

mundane

worldy as opposed to spiritual; concerned with the ordinary

necromancy

black magic

negate

to cancel out; nullify

neologism

new word or expression

neophyte

novice; beginner

nexus

a means of connection; a center

nonplussed

bewildered

nostalgia

sentimental longing for a past time

nostrum

medicine or remedy of doubtful effectiveness

nugatory

trifling; invalid

obdurate

stubborn

obsequious

overly submissive

obsequy

funeral ceremony

obviate

to make unnecessary; to anticipate and prevent

occlude

to shut; block

occult

relating to practices connected with supernatural phenomena

odyssey

a long, adventurous voyage; a quest

officious

too helful; meddlesome

olfactory

concerning the sense of smell

oligarchy

form of government in which power belongs to only a few leaders

onerous

burdensome

onomatopeia

formation or use of words that imitate sounds of the actions they refer to

opprobium

public disgrace; contempt

ornithologist

scientist who studies birds

oscillate

to move back and forth

ostentatious

showy; pretentious

overweening

presumptuous; arrogant

paean

song of joy or triumph; a fervent expression of joy

paleonthology

study of past geological eras through fossil remains

pallid

lacking color or liveliness

panegyric

elaborate praise; formal hymn of praise

paragon

model of perfection or excellence

partisan

one-sided; committed to a party, group or cause

pathological

departing from normal condition

patois

jargon; a regional dialect

paucity

scarcity

pedantic

showing off learning

pellucid

transparent; easily understood

penchant

inclination

penury

extreme poverty

peregrination

wandering from place to place

peremptory

imperative; leaving no choice

perennial

present throughout the years; persistent

perfidious

faithless; disloyal; untrustworthy

perfunctory

superficial; performed really as a duty

perigee

point in an orbit that is closest to the earth

permeable

penetrable

perturb

to disturb greatly; make uneasy or anxious

pervasive

spread throughout every part

petulant

rude; peevish

phlegmatic

unemotional; calm in temperament

phoenix

anything that is restored after suffering great destruction

physiognomy

facial features

piety

devoutness

piquant

pleasantly pungent; attractive

pique

fleeting feeling or hurt pride

placate

soothe; pacify

placid

calm

plaintive

melancholy; mournful

plasticity

pliability; condition of being able to be shaped or formed

platitude

stale; overused expression

platonic

spiritual; theoretical

plethora

excess; overabundance

plumb

to examine deeply; determine the depth

plummet

to fall; plunge

plutocracy

society ruled by the wealthy

porous

full of holes; permeable to liquids

poseur

poerson who affects an attitude to impress others

pragmatic

practical

prate

to talk idly; chatter

prattle

meaningless, foolish talk

preamble

preliminary statement

precarious

uncertain

precept

principle; law

precipitate

to cause to happen; throw down from a height

precipitate

rash; hasty; sudden; done without deliberation

precursor

forerunner; predecessor

preempt

to supersede; appropiate for oneself

prehensile

capable of grasping

premonition

forewarning; presentiment

presage

to foretell; indicate in advance

presumptuous

rude; improperly bold

preternatural

supernatural; beyond the normal use of nature

prevaricate

to quibble; evade the truth

primordial

original; existing from the beginning

pristine

untouched; uncorrupted

probity

honesty; high-mindness

problematic

posing a problem; doubtful

prodigal

wasteful; extravagant; lavish

profound

deep, not superficial

prohibitive

so high as to prevent the purchase or use of, forbidding

proliferate

to increase rapidly

propensity

inclination, tendency

propitiate

to win over, appease

propriety

correct conduct, fitness

proscribe

to condemn, forbid, outlaw

provident

providing for future need, frugal

puissant

powerful

punctilious

careful in observing rules fo behavior

pungent

penetrating, caustic, to the point

pusillanimous

cowerdly

purport

to profess, suppose, claim

quagmire

marsh, difficult situation

quail

to cower, lose heart

qualified

limited, restricted

qualm

sudden feeling of faintness or nausea

query

question

quibble

to argue over insignificant and irrelevant details

quiescent

inactive, still

quorum

number of memeber necessary to conduct a meeting

raconteur

witty, skillful storyteller

rail

to scold with bitter or abusive language

raiment

clothing

ramification

implication, consequence

rarefied

refined

rationale

fundamental reason

rebu

puzzle in whic pictures or symbols represent words

recalcitrant

resisting authority or control

recant

retract a statement of opinion

recluse

person who lives in seclusion and often in solitude

recondite

abstruse, profound

redoubtable

formidable, arousing fear

refractory

stubborn, resisting ordinary methods of treatment

refulgent

brightly shining, resplendent

refute

to contradict, disprove

regale

to entertain

relegate

to consign to an inferior position

remonstrate

to object or protest

renege

to go back on one's word

reparation

amends, compensation

repine

fret, complain

reprise

repetition, especially of a piece of music

reproach

to find fault with, blame

reprobate

morally unprincipled person

repudiate

to reject as having no authority

rescind

to cancel

resolution

determination, resolve

resolve

determination, firmness of purpose

reticent

nor speaking freely, reserved, reluctant

reverent

expressing deep respect, worshipful

riposte

retaliatory action or retort

rococo

excessively ornate

rubric

protocol, title or heading

rue

regret

ruse

trick, crafty stratagem

sage

wise

salacious

lascivious, lustful

salubrious

healthful

salutary

expecting an improvement, favorable to health

sanction

to approve, ratify, permit

sardonic

cynical, scornfully mocking

sartorial

pertaining to tailors

satiate

to satisfy

saturate

imbue througout, soak thoroughly

saturnine

gloomy

satyr

a creature that is half-man, half beast, with the horns and legs of a goat

savor

to enjoy, have a distinctive flavor or smell

schematic

relating to or in the form of an outline or diagram

secrete

produce and release substance into organism

sedition

behaviour prompting rebellion

sedulous

diligent, assiduous

seismic

relating to earthquakes

sensual

relating to the senses, gratifying the physical (sexual) senses

sensuous

relating to the senses

sentient

aware, concious, able to preceive

servile

submissive, obedient

sextant

navigation tool that determines latitude and longitude

shard

a piece of broken glass or pottery

sidereal

relating to the stars

simian

apelike, relating to apes

simile

comparison of one thing with another using "like" or "as"

sinecure

well-paying job that requieres little or no work

singular

unique, extraordinary, odd

sinuous

intricate, complex

skeptic

one who doubts

sobriety

seriousness

sodden

thoroughly soaked, saturated

solicitous

concerned, attentive, eager

soliloquy

literary or dramatic speech by one character, not adressed to others

solvent

able to meet financial obligations

somatic

relating to or affecting the body, corporeal

soporific

sleep producing

sordid

filthy, contemptible and corrupt

specious

seeming to be logical and sound, but not really so

spectrum

band of color, broad range of related ideas or objects

spendthrift

person who spends money recklessly

sporadic

irregular

squalor

filthy, wretched condition

staccato

marked by abrupt, clear-cut sounds

stanch

to stop or check the flow of

stentorian

extremely loud

stigma

mark of disgrace or inferiority

stint

to be sparing

stipulate

to specify as an essential condition

stolid

having or showing little emotion

stratified

arranged in layers

striated

marked with thin, narrow grooves or channels

stricture

something that restrains, negative criticism

strident

loud, harsh, unpleasantly noisy

strut

to swagger, display to impress others

stultify

to impair or reduce to uselessness

stupefy

to dull the senses of, stun, atonish

stygian

dark and gloomy, hellish

subpoena

notice ordering someone to appear in court

subside

to settle down, grow quiet

substantiate

to support with proof or evidence

substantive

essential

subsume

to include, incorporate

subversive

intended to undermine or underthrow, especially an established government

succor

relief, help in time of distress or want

suffrage

the right to vote

sundry

various

supersede

to relace, especially to displace as inferior or antiquated

supine

lying in the back, marked by lethargy

supplant

to replace, substitute

suppliant

beseeching

supplicant

one who asks humbly and earnestly

supposition

the act of assuming to be true or real

syllogism

a form of deductive reasoning with a major premise, a minor premise, and a conclusion

sylvan

related to the woods or forest

tacit

silently understood, implied

talisman

charm to bring good luck and avert misfortune

tangential

peripheral, irrelevant, digressing

tautology

unnecessary repetition

taxonomy

science of classification

tenet

belief, doctrine

tenuous

weak, insubstantial

terrestrial

earthly, commonplace

theocracy

government by priests representing a god

thespian

an actor or actress

timbre

voice tone color

tirade

long, violent speech, verbal assault

toady

flatterer, yes-man

tome

book, usually large and academic

torpor

lethargy, dormancy, sluggishness

torque

a turning or twisting force

tortuous

having many twists and turns, highly complex

tout

to promote or praise energetically

tractable

obedient, yielding

transgression

act of trespassing or violating a law or rule

transient

temporary, fleeting

translucent

partially transparent

travail

work, especially arduous work

travesty

parody, exaggerated imitation, caricature

treatise

article treating a subject systematically and thoroughly

tremulous

trembling, frugal, timid

trepidation

fear and anxiety

truculence

aggressiveness, ferocity

tryst

agreement between lovest to meet, rendez-vous

tumid

swollen, distended

turbid

muddy, opaque, in a state of great confusion

turgid

swollen, pompous

tutelary

serving as a guardian or protector

uncanny

myterious, strange

undulating

moving in waves

unfeigned

not false, genuine

untenable

indefensible

untoward

not favorable, troublesome, unruly

usury

a practice of lending money at exorbitant rates

vacillate

to waver, oscillate

vacuous

empty, void, lacking intelligence

valedictory

pertaining to a farewell

vapid

tasteless, dull

variegated

varied, marked with different colors

vaunt

to boast, drag

venal

mercenary, corruptible

vendetta

prolonged feud marked by bitter hostility

venerate

to adore, honor, respect

veracious

truthful, accurate

verbose

wordy

vertigo

dizziness

vexation

irritation, annoyance

viable

practicable, capable of developing

vindictive

vengeful, unforgiving

virtuoso

someone with master skills, expert musician

visage

appearance, aspect

viscous

thick, syrupy

vitiate

to impair the quality of, corrupt morally

vituperative

using or containing harsh, abusive censure

vivisection

dissection, surgery, or painful experiments performed on a living animal for the purpose of scientific research

vogue

prevailing fashion or practice

volatile

tending to vary frequently, fickle

vortex

whirpool, center of turbulence

warranted

justified

wary

careful, cautious

welter

wallow or roll, toss about, be in turmoil

whimsical

fanciful, unpredictable

wistful

vaguely longing, sadly thoughtful

zealot

one who is fanatically devoted to a cause