a combination of various GRE quizzes from different Quizlet users whom I find authoritative
Terms in this set (...)
Time per question: Sentence Equivalence
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
Time per question: Data Interpretation
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.
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?
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?
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?
Legs 6, 8. Hypotenuse?
Legs 5, 12. Hypotenuse?
Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
8.84 / 5.2
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?
What number between 70 & 75, inclusive, has the greatest number of factors?
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
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
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))?
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)]?
Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Simplify 9^(1/2) X 4^3 X 2^(-6)?
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?
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?
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?
The perimeter of a square is 48 inches. The length of its diagonal is:
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?
Whats the difference between factors and multiples?
Factors are few, multiples are many.
How many multiples does a given number have?
P and r are factors of 100. What is greater, pr or 100?
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?
How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
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
What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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)?
x^2 = 9. What is the value of x?
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?
If 4500 is invested at a simple interest rate of 6%, what is the value of the investment after 10 months?
What is the maximum value for the function g(x) = (-2x^2) -1?
For what values should the domain be restricted for the function f(x) = sqrt(x + 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?
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 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 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?
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?
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?
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?
What is the third quartile of the following data set: 44, 58, 63, 63, 68, 70, 82
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
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?
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?