GRE: Math
GRE Math Flashcards - Most Studied - #7,9,10,12 I deleted ones that didn't make sense
Kalvin
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Perfect Squares 1-151, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225
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How to recognize if a # is a multiple of 12The 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.)
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Area of a rectangleA = length x width
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How to recognize a # as a multiple of 9The sum of the digits is a multiple of 9.
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Slope given 2 pointsm= (Y1-Y2)/(X1-X2)
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Circumference of a Circlec=2 x pi x r OR pi x D
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Area of a circleA=pi*(r^2)
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Perimeter of a rectangleP= 2L + 2w
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How to recognize a multiple of 6Sum of digits is a multiple of 3 and the last digit is even.
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Volume of a rectangular boxV=Lwh
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How to recognize a # as a multiple of 4The 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.)
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How to recognize a # as a multiple of 3The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
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Area of a triangleA= (1/2) b*h
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When dividing exponential #s with the same base, you do this to the exponents...Subtract them. i.e (5^7)/(5^3)= 5^4
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When multiplying exponential #s with the same base, you do this to the exponentsAdd them. i.e. (5^7) * (5^3) = 5^10
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First 10 prime #s2, 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
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Find distance when given time and rated=rt so r= d/t and t=d/r
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binomial product of (x+y)(x-y)x²-y²
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factored binomial product of (x+y)²x²+2xy+y²
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factored binomial product of (x-y)²x²-2xy+y²
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binomial product of (x+y)²(x+y)(x+y)
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binomial product of (x-y)²(x+y)(x-y)
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the measure of a straight angle180°
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the slope of a line in y=mx+bm
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Pythagorean theorema²+b²=c²
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If a is inversely porportional to b, what does it equal?ab=k (k is a constant)
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#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.
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#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.
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If y is directly proportional to x, what does it equal?y/x is a constant
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What is a percent?A percent is a fraction whose denominator is 100.
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#1 What is an important property of a 30-60-90 triangle?The triangle is a right triangle.
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#2 What is an important property of a 30-60-90 triangle?The hypotenuse is twice the length of the shorter leg.
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#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
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The negative exponent x⁻ⁿ is equivalent to what?1/xⁿ i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
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formula for area of a triangleA=½bh
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formula for volume of a rectangular solidV=l×w×h
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formula for the volume of a cubeV=side³
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#1 What are the important properties of a 45-45-90 triangle?• The triangle is a right triangle.
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#2 What are the important properties of a 45-45-90 triangle?• The triangle is isosceles (AC=BC).
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#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.
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formula for distance problemsdistance=rate×time or d=rt
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The sum of the angles in a quadrilateral is360°
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The sum of the measures of the n angles in a polygon with n sides(n-2) x 180
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In any polygon, all external angles equal up to360°
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