GRE Math Flashcards - Most Studied - #7,9,10,12
I deleted ones that didn't make sense ...
Titles and Authors:
Formulas for GRE Quantitative Section by amholt11
GRE Math by Maulleigh
GRE math errors by cewind
GRE Math by hsingh24
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| 963517614 | formula for distance problems | distance=rate×time or d=rt | |
| 963517615 | The Perimeter of a rectangle | P=2(l+w) | |
| 963517616 | The Perimeter of a Square | P=4s (s=side) | |
| 963517617 | Area of a Parallelogram: | A=(base)(height) |  |
| 963517618 | (x-y)(x+y) | x²-y² | |
| 963517619 | (x-y)² | x²-2xy+y² | |
| 963517620 | (x+y)² | x²+2xy+y² | |
| 963517621 | An Angle that's 180° | Straight Angle | |
| 963517622 | The sum of all angles around a point | 360° | |
| 963517623 | 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° | |
| 963517624 | Distance | (rate)(time) d=rt | |
| 963517625 | Rate | d/t (distance)/(time) | |
| 963517626 | Time | (distance)/(rate) d/r | |
| 963517627 | How do you solve proportions? a/b=c/d | Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60 | |
| 963517628 | 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% | |
| 963517629 | The percent decrease of a quantity | = (actual decrease/Original amount) x 100% | |
| 963517630 | If a lamp decreases to $80, from $100, what is the decrease in price? | = (actual decrease/Original amount) x100% = 20/100x100% = 20% | |
| 963517631 | To increase a number by x% | multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150 | |
| 963517632 | To decrease a number by x% | multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50 | |
| 963517633 | THE DENOMINATOR CAN NEVER | BE ZERO! 1/∅=null | |
| 963517634 | If a>b then | -a<-b | |
| 963517635 | The reciprocal of any non-zero number is | 1/x | |
| 963517636 | Probability of an Event | P(E) = number of favorable outcomes/total number of possible outcomes | |
| 963517637 | If Event is impossible | P(E) = ø | |
| 963517638 | If E is certain | P(E) = 1/1 = 1 | |
| 963517639 | Probability of Event all cases | ∅≤P(E)≤1 | |
| 963517640 | Probability of E not occurring: | 1 - P(E) | |
| 963517641 | Circumference of a circle | pi(diameter) | |
| 963517643 | Circumference of a circle | 2(pi)r | |
| 963517644 | Area of a circle | (pi)r² | |
| 963517646 | Volume of a rectangular solid | (length)(width)(height) | |
| 963517648 | Volume of a cube | edge³ | |
| 963517649 | Vertical lines | Do not have slopes! | |
| 963517651 | Any Horizontal line slope | zero | |
| 963517653 | Slope of any line that goes up from left to right | Positive | |
| 963517655 | Slope of any line that goes down as you move from left to right is | Negative | |
| 963517657 | Slope | y₂-y₁/x₂-x₁ | |
| 963517659 | For any number x | Can be negative, zero, or positive | |
| 963517661 | X is the opposite of | -X | |
| 963517663 | 3 is the opposite of | -3 | |
| 963517665 | The only number that is equal to its opposite | ∅ ∅=∅ | |
| 963517667 | Product of any number and ∅ is | ∅ | |
| 963517669 | If a product of two numbers is ∅, one number must be | ∅ | |
| 963517673 | 7 divided by ∅ | Null | |
| 963517675 | ∅ divided by 7 | ∅ | |
| 963517676 | The product of odd number of negative numbers | Negative | |
| 963517677 | The reciprocal of any non-zero #x is | 1/x | |
| 963517678 | The product of any number x and its reciprocal | 1 | |
| 963517679 | Dividing by a number is the same as multiplying it by its | Reciprocal | |
| 963517680 | ∅ Is neither | Positive or Negative | |
| 963517681 | Consecutive integers | x, x+1, x+2 | |
| 963517682 | One is (a prime or not?) | NOT A PRIME | |
| 963517683 | Positive integers that have exactly 2 positive divisors are | Prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23) | |
| 963517684 | ∅ Is | EVEN | |
| 963517685 | ∅ is a multiple of | Two (∅×2=∅) | |
| 963517686 | ∅ is a multiple of | Every number | |
| 963517688 | 2 is the only | Even prime number | |
| 963517689 | b¹ | 1 | |
| 963517691 | bⁿ | b∧b∧b (where b is used as a factor n times) | |
| 963517693 | 2⁵+2³ | 2⁸ | |
| 963517695 | 2⁵/2³ | 2² | |
| 963517696 | (2²)³ | 2⁶ | |
| 963517698 | 2³×7³ | (2x7)³ | |
| 963517699 | ∅² | ∅ | |
| 963517701 | If a is positive, aⁿ is | Positive | |
| 963517702 | If a is negative and n is even then aⁿ is (positive or negative?) | aⁿ is positive | |
| 963517703 | -3² | 9 | |
| 963517704 | -3³ | -27 | |
| 963517705 | a(b+c) | ab+ac | |
| 963517706 | a(b-c) | ab-ac | |
| 963517707 | a>b then a - b is positive or negative? | a-b is positive | |
| 963517708 | a | a-b is negative | |
| 963517709 | If a| a+c | | |
| 963517710 | ∅ is | Even | |
| 963517711 | ∅ is | A multiple of every integer | |
| 963517712 | a/∅ | Null | |
| 963517713 | 1ⁿ | 1 | |
| 963517714 | 1 is a divisor of | every number | |
| 963517715 | 1 is the | smallest positive integer | |
| 963517716 | 1 is an | ODD number | |
| 963517717 | 30 60 90 | x, x(SR3), 2x | |
| 963517718 | 30 60 90 | 3, 4, 5 | |
| 963517719 | 30 60 90 | 5, 12, 13 | |
| 963517720 | 30 60 90 | 3x, 4x, 5x | |
| 963517721 | 25^(1/2) or sqrt. 25 = | 5 OR -5 | |
| 963517722 | Number of degrees in a triangle | 180 | |
| 963517723 | 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) | |
| 963517724 | 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) | |
| 963517725 | What are the irrational numbers? | All real numbers which can't be expressed as a ratio of two integers, positive and negative (pi, -sqrt3) | |
| 963517726 | What are the integers? | All numbers multiples of 1. | |
| 963517727 | 1/2 divided by 3/7 is the same as | 1/2 times 7/3 | |
| 963517728 | A number is divisible by 3 if ... | the sum of its digits is divisible by 3. | |
| 963517729 | A number is divisible by 4 is... | its last two digits are divisible by 4. | |
| 963517730 | A number is divisible by 6 if... | its divisible by 2 and by 3. | |
| 963517732 | A number is divisible by 9 if... | the sum of digits is divisible by 9. | |
| 963517733 | 10| 11, 13, 17, 19 | | |
| 963517735 | 20| 23, 29 | | |
| 963517737 | 30< all primes<40 | 31, 37 | |
| 963517739 | 40 < all primes<50 | 41, 43, 47 | |
| 963517741 | 50 < all primes< 60 | 53, 59 | |
| 963517742 | 60 < all primes <70 | 61, 67 | |
| 963517744 | 70 < all primes< 80 | 71, 73, 79 | |
| 963517746 | 1/8 in percent? | 12.5% | |
| 963517748 | 1/6 in percent? | 16.6666% | |
| 963517749 | 3/8 in percent? | 37.5% | |
| 963517751 | 5/8 in percent? | 62.5% | |
| 963517752 | 7/8 in percent? | 87.5% | |
| 963517753 | 5/6 in percent? | 83.333% | |
| 963517754 | x^4 + x^7 = | x^(4+7) = x^11 | |
| 963517755 | x^6 / x^3 | x^(6-3) = x^3 | |
| 963517756 | (x^2)^4 | x^(2(4)) =x^8 = (x^4)^2 | |
| 963517757 | a^0 = | 1 | |
| 963517758 | 0^0 | undefined | |
| 963517759 | Can you add sqrt 3 and sqrt 5? | No, only like radicals can be added. | |
| 963517760 | Can you subtract 3sqrt4 from sqrt4? | Yes, like radicals can be added/subtracted. | |
| 963517761 | (6sqrt3) x (2sqrt5) = | (6 x 2)(sqrt3 x sqrt5) = 12sqrt15 | |
| 963517762 | (12sqrt15) / (2sqrt5) = | (12/2) x (sqrt15 / sqrt5) = 6sqrt3 | |
| 963517763 | Can you simplify sqrt72? | Yes, because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2. | |
| 963517764 | 10^6 has how many zeroes? | 6 | |
| 963517765 | To multiply a number by 10^x | move the decimal point to the right x places | |
| 963517766 | What does scientific notation mean? | Expressing a number as the product of a decimal between 1 and 10, and a power of 10. | |
| 963517767 | 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) | |
| 963517768 | 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) | |
| 963517769 | Define a "monomial" | An expression with just one term (-6x, 2a^2) | |
| 963517770 | a^2 - b^2 = | (a - b)(a + b) | |
| 963517771 | a^2 + 2ab + b^2 | (a + b)^2 | |
| 963517772 | Solve the quadratic equation ax^2 + bx + c= 0 | x = [(-b)+/- (sqrt b^2 - 4ac)]/2a | |
| 963517773 | If an inequality is multiplied or divided by a negative number.... | the direction of the inequality is reversed. | |
| 963517774 | What is the "domain" of a function? | The set of input values for a function. | |
| 963517775 | What is the "range" of a function? | The set of output values for a function. | |
| 963517776 | What is the order of operations? | PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction) | |
| 963517777 | What is the sum of the angles of a triangle? | 180 degrees | |
| 963517778 | Factor a^2 + 2ab + b^2 | (a + b)^2 | |
| 963517779 | a^2 - 2ab + b^2 | (a - b)^2 | |
| 963517780 | a^2 - b^2 | (a - b)(a + b) | |
| 963517781 | What is the "range" of a series of numbers? | The greatest value minus the smallest. | |
| 963517782 | How to determine percent decrease? | (amount of decrease/original price) x 100% | |
| 963517783 | Area of a triangle? | (base*height) / 2 | |
| 963517784 | What is an isoceles triangle? | Two equal sides and two equal angles. | |
| 963517785 | Circumference of a circle? | Diameter(Pi) | |
| 963517786 | 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). | |
| 963517787 | 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. | |
| 963517788 | The larger the absolute value of the slope... | the steeper the slope. | |
| 963517789 | What is the slope of a horizontal line? | 0 | |
| 963517790 | What is the slope of a vertical line? | Undefined, because we can't divide by 0. | |
| 963517791 | Which quadrant is the upper right hand? | I | |
| 963517792 | Which quandrant is the lower right hand? | IV | |
| 963517793 | Which quadrant is the upper left hand? | II | |
| 963517794 | Which quadrant is the lower left hand? | III | |
| 963517795 | What are "supplementary angles?" | Two angles whose sum is 180. | |
| 963517796 | If the two sides of a triangle are unequal then the longer side................. | lies opposite the greater angle | |
| 963517797 | What is a chord of a circle? | A chord is a line segment joining two points on a circle. | |
| 963517798 | What is a central angle? | A central angle is an angle formed by 2 radii. | |
| 963517799 | What is a tangent? | A tangent is a line that only touches one point on the circumference of a circle. | |
| 963517800 | Pi is a ratio of what to what? | Pi is the ratio of a circle's circumference to its diameter. | |
| 963517801 | Formula to find a circle's circumference from its diameter? | C = (pi)d | |
| 963517802 | Formula to find a circle's circumference from its radius? | C = 2(pi)r | |
| 963517803 | What is an arc of a circle? | An arc is a portion of a circumference of a circle. | |
| 963517804 | What is a minor arc? | The shortest arc between points A and B on a circle's diameter. | |
| 963517805 | What is a major arc? | The longest arc between points A and B on a circle's diameter. | |
| 963517806 | Formula to calculate arc length? | Arc length = (n/360) x pi(2r) where n is the number of degrees. | |
| 963517807 | Formula for the area of a circle? | A = pi(r^2) | |
| 963517808 | Formula for the area of a sector of a circle? | Sector area = (n/360) X (pi)r^2 | |
| 963517809 | What is the "solution" for a system of linear equations? | The point of intersection of the systems. | |
| 963517810 | What is the "solution" for a set of inequalities. | The overlapping sections. | |
| 963517811 | 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. | |
| 963517812 | What is the graph of f(x) shifted upward c units or spaces? | f(x) + c | |
| 963517813 | What is the graph of f(x) shifted downward c units or spaces? | f(x) - c | |
| 963517814 | What is the graph of f(x) shifted left c units or spaces? | f(x + c) | |
| 963517815 | What is the graph of f(x) shifted right c units or spaces? | f(x-c) | |
| 963517816 | What are complementary angles? | Two angles whose sum is 90. | |
| 963517817 | What are congruent triangles? | Triangles with same measure and same side lengths. | |
| 963517818 | Legs: 3, 4. Hypotenuse? | 5 | |
| 963517819 | Legs 6, 8. Hypotenuse? | 10 | |
| 963517820 | Legs 5, 12. Hypotenuse? | 13 | |
| 963517821 | Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14 | 2 & 3/7 | |
| 963517822 | 8.84 / 5.2 | 1.7 | |
| 963517823 | Evaluate 4/11 + 11/12 | 1 & 37/132 | |
| 963517824 | Evaluate 3& 2/7 / 1/3 | 9 & 6/7 | |
| 963517825 | 200 <_ x <_ 300. How many values of x are divisible by 5 & 8? | 3 | |
| 963517826 | What number between 70 & 75, inclusive, has the greatest number of factors? | 72 | |
| 963517827 | What are the smallest three prime numbers greater than 65? | 67, 71, 73 | |
| 963517828 | Which is greater? 64^5 or 16^8 | 16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16 | |
| 963517829 | Evaluate (4^3)^2 | 4096 | |
| 963517830 | Write 10,843 X 10^7 in scientific notation | 1.0843 X 10^11 | |
| 963517831 | True or false? 4.809 X 10^7 = .0004809 X 10^11 | True | |
| 963517832 | 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 | |
| 963517833 | 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 | |
| 963517834 | Simplify 4sqrt21 X 5sqrt2 / 10sqrt7 | 2sqrt6 | |
| 963517835 | Simplify 9^(1/2) X 4^3 X 2^(-6)? | 3 | |
| 963517836 | 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 | |
| 963517837 | Reduce: 4.8 : 0.8 : 1.6 | 6 : 1 : 2 | |
| 963517838 | 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 | |
| 963517839 | What percent of 40 is 22? | 55% | |
| 963517840 | Convert 0.7% to a fraction. | 7 / 1000 | |
| 963517841 | 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%. | |
| 963517842 | 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 | |
| 963517843 | The perimeter of a square is 48 inches. The length of its diagonal is: | 12sqrt2 | |
| 963517844 | 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 | |
| 963517845 | Whats the difference between factors and multiples? | Factors are few, multiples are many. | |
| 963517846 | How many multiples does a given number have? | Infinite. | |
| 963517847 | P and r are factors of 100. What is greater, pr or 100? | Indeterminable. | |
| 963517848 | 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 | |
| 963517849 | Is 0 even or odd? | Even | |
| 963517850 | 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 | |
| 963517851 | What are the roots of the quadrinomial x^2 + 2x + 1? | The two xes after factoring. | |
| 963517852 | Factor x^2 - xy + x. | x(x - y + 1) | |
| 963517853 | Simplify the expression [(b^2 - c^2) / (b - c)] | (b + c) | |
| 963517854 | Simplify (a^2 + b)^2 - (a^2 - b)^2 | 4a^2(b) | |
| 963517855 | What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd? | cd | |
| 963517856 | Simplify the expression (p^2 - q^2)/ -5(q - p) | (p + q)/5 | |
| 963517857 | What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)? | 2 | |
| 963517858 | (a^-1)/a^5 | 1/a^6 | |
| 963517859 | x^2 = 9. What is the value of x? | 3, -3 | |
| 963517860 | 6w^2 - w - 15 = 0 | -3/2 , 5/3 | |
| 963517861 | 5x^2 - 35x -55 = 0 | [(7+ sqrt93) /2], [(7 - sqrt93) / 2] | |
| 963517862 | If 10800 is invested at a simple interest rate of 4%, what is the value of the investment after 18 months? | $11,448 | |
| 963517863 | If 4500 is invested at a simple interest rate of 6%, what is the value of the investment after 10 months? | 4725 | |
| 963517864 | What is the maximum value for the function g(x) = (-2x^2) -1? | -1 | |
| 963517865 | For what values should the domain be restricted for the function f(x) = sqrt(x + 8) | -8 | |
| 963517866 | What transformation occurs if point C is reflected over the x-axis and then the y-axis? | A reflection about the axis. | |
| 963517867 | The four angles around a point measure y, 2y, 35 and 55 respectively. What is the value of y? | 90 | |
| 963517868 | 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. | |
| 963517869 | What is the ratio of the sides of an isosceles right triangle? | 1:1:sqrt2 | |
| 963517870 | What is the set of elements found in both A and B? | The interesection of A and B. | |
| 963517871 | 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 |
