GRE Math Formulas Flashcards

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0
Q

Circumference of a circle

A

2 pi r
-or-
Pi diameter

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1
Q

Area of a circle

A

Pi r square

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2
Q

Area of a triangle

A

1/2 base x height

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3
Q

Ratio of an Isosceles right triangle

A

1:1:square root of 2

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4
Q

Ratio of a 30-60-90 Triangle

A

1:square root of 3:2

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5
Q

Rectangular volume

A

L x w x h

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6
Q

Cylindrical volume

A

Pi r square x height

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7
Q

Third side of a triangle

A

Less than the sum of the other two sides
-and-
Greater than the absolute value of side 1-side 2

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8
Q

Pythagorean triples

A

3: 4:5
5: 12:13
7: 24:25
8: 15:17

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9
Q

Equation of a line

A

y=mx+b

y=(slope*x) + (y intersect)

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10
Q

Slope formula

A

y^2-y^1/x^2-x^1

Rise / run

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11
Q

Point-slope formula

A

y-y^0=m(x-x^0)

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12
Q

2 cubed

A

8

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13
Q

3 cubed

A

27

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14
Q

4 cubed

A

64

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15
Q

5 cubed

A

125

16
Q

First ten primes

A

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

17
Q

Total of angles in an n-sided polygon

A

(n-2)(180)

18
Q

Percent change formula

A

Change
——— x 100
Original

19
Q

Multiplying exponential terms with the same base

2^2 x 2^6

A

Add the exponents

2^2 x 2^6 = 2^8

20
Q

Dividing exponential terms with the same base

2^6 / 2^2

A

Subtract the exponents

2^6 / 2^2 = 2^4

21
Q

Raising an exponential term to another power

(2^2)^3

A

Multiply the exponents

(2^2)^3 = 2^6

22
Q

Negative exponent

5^-8

A

Rewrite in reciprocal form with positive exponent

5^-8 = 1 / 5^8

23
Q

Scientific notation

Positive exponent

A

Decimal moves forward to the right the number of spaces indicated by the exponent

24
Q

Scientific notation

Negative exponent

A

Decimal moves backward to the left the number of spaces indicated by the exponent

25
Q

Fractions in an exponent

A

Divide–as in roots–instead of multiply

26
Q

Multiplying square roots

A

Multiply the numbers and put the result under a new square root sign

27
Q

What happens to the inequality sign when multiplying or dividing both sides by a negative number?

A

The inequality sign is flipped

28
Q

Isosceles right triangle

A

45-45-90

1:1:square root of 2

29
Q

30-60-90 triangle

A

Right triangle

1:square root of 3:2

30
Q

Area of a parallelogram

A

2 x 1/2 base x height
(Because it is two triangles)
Need to find height as perpendicular to base

31
Q

How to determine the x-intercept from the equation of a line

A

When crossing the x-axis, value of y will be 0. Plug in “0” for y and solve for x.

32
Q

Group formula

A

Total=[group 1] + [group 2] - [both] + [neither]

33
Q

Bell curve/normal distribution

A

34-14-2

34
Q

Dividing Factorials:

8! / 10!

A

8! / 10! = 1 / 10 x 9
Because everything in 8! cancels out those same numbers that are included in 10!, making the numerator “1”, and leaving only the “9” and “10” that are not included in 10! in the denominator.