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GRE Math Rules

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. divisible by 11
Pi*r^2h
Mean of the two middle ones
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.

2. sum of measures of interior angles of a polygon with n sides
(n-2)(180 degrees)
Three sides congruent - two sides and included angle - two angles and included side
1 - 1 - root(2)
P(E) + P(F) - P(E and F)

3. circumference of circle
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
2pi*r
In computing the average squared difference from the mean (taking the root of this is the standard deviation) - divide by n-1 instead of n
Less affected by outliers than the mean

4. how to tell if something is prime
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
In computing the average squared difference from the mean (taking the root of this is the standard deviation) - divide by n-1 instead of n
Invert the second fraction and multiply them
The sum of the areas of the six faces: 2(lw + lh + wh)

5. area of triangle
Sum of its digits is divisible by 9
1/2 base * height
Opposite angles formed by two intersecting lines; always congruent
x^(a-b) or a/x^(b-a)

6. regular polygon
1 if decimals - 100 if percents
Last two digits (taken together) are divisible by 4
Opposite angles formed by two intersecting lines; always congruent
All its interior angles are congruent

7. (x^a)(y^a)
(xy)^a
N(n-1)(n-2)...(2)(1) = n!
1 if decimals - 100 if percents
N!/(n-k)!

8. area of parallelogram
Base * height
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
Pi*r^2h

9. combinations of n objects taken k at a time (order doesn'T count)
1 if decimals - 100 if percents
Always equal - i.e. 9 choose 3 = 9 choose 6
x^ab
N!/k!(n-k)! which is also denotes as n choose k

10. dividing fractions
Pi * r^2
N!/k!(n-k)! which is also denotes as n choose k
Mean of the two middle ones
Invert the second fraction and multiply them

11. relationship between n choose k and n choose n-k
Pi * r^2
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
Always equal - i.e. 9 choose 3 = 9 choose 6
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.

12. vertical angles
Opposite angles formed by two intersecting lines; always congruent
Any line connecting two points on a circle. The diameter is a chord
x^(a+b)
Subtract the mean from each value and divide by the standard deviation

13. similar triangles
1098 etc
Last three digits (taken together) are divisible by 8
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
Last two digits (taken together) are divisible by 4

14. area of cylinder
Any line connecting two points on a circle. The diameter is a chord
2(pir^2) + 2pirh; the two bases and the side
1/x^a
Subtract the mean from each value and divide by the standard deviation

15. how many triangles can a polygon of n sides be divided into?
N-2
P(E and F) = P(E)P(F)
1098 etc
|S|

16. divisible by 3
1/x^a
Opposite angles formed by two intersecting lines; always congruent
Sum of its digits is divisible by 3
1 if decimals - 100 if percents

17. area of circle
1 if decimals - 100 if percents
Lwh
Pi * r^2
1 - 1 - root(2)

18. length of arc of circle
Sum of its digits is divisible by 3
Last two digits (taken together) are divisible by 4
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
2(pir^2) + 2pirh; the two bases and the side

19. differences between a set and a list
Three sides congruent - two sides and included angle - two angles and included side
Number of outcomes yielding E / number of total outcomes
x^ab
A list is ordered and can have duplicates

20. volume of cylinder
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
Pi*r^2h
Less affected by outliers than the mean
N!/k!(n-k)! which is also denotes as n choose k

21. mutually exclusive
A list is ordered and can have duplicates
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
P(E or F) = P(E) + P(F)
Pi*r^2h

22. (x/y)^a
(x^a)/(y^a)
A + B - their intersection
Last two digits (taken together) are divisible by 4
Any line connecting two points on a circle. The diameter is a chord

23. area of rectangle
Pi*r^2h
Invert the second fraction and multiply them
The sum of the areas of the six faces: 2(lw + lh + wh)
Number of outcomes yielding E / number of total outcomes

24. independence of two events E and F
P(E and F) = P(E)P(F)
x^ab
N!/k!(n-k)! which is also denotes as n choose k
Sum of its digits is divisible by 3

25. (x^a)/(x^b)
x^(a-b) or a/x^(b-a)
Less affected by outliers than the mean
(x^a)/(y^a)
Opposite angles formed by two intersecting lines; always congruent

26. chord
N!/k!(n-k)! which is also denotes as n choose k
Any line connecting two points on a circle. The diameter is a chord
(n-2)(180 degrees)
Number of outcomes yielding E / number of total outcomes

27. difference between normal or population standard deviation and the sample standard deviation
In computing the average squared difference from the mean (taking the root of this is the standard deviation) - divide by n-1 instead of n
Number of outcomes yielding E / number of total outcomes
P(E) + P(F) - P(E and F)
Opposite angles formed by two intersecting lines; always congruent

28. what'S the median if there are an even number of data points?
Number of outcomes yielding E / number of total outcomes
Mean of the two middle ones
1/x^a
1 - 2 - root(3); note that this is half of an equilateral triangle

29. permutations of n objects taken k at a time (order counts)
N!/(n-k)!
x^(a+b)
2pi*r
At least two congruent sides; the angles opposite these sides are also congruent

30. probability that either E or F occur
Last three digits (taken together) are divisible by 8
P(E) + P(F) - P(E and F)
Base * height
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.

31. sides of 30/60/90 triangle
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
1 if decimals - 100 if percents
1 - 2 - root(3); note that this is half of an equilateral triangle
P(E or F) = P(E) + P(F)

32. union of sets A and B
1/2 base * height
A + B - their intersection
N(n-1)(n-2)...(2)(1) = n!
Rules for 2 and three: even and the sum of its digits is divisible by three

33. (x^a)(x^b)
N!/(n-k)!
Base * height
1 - 2 - root(3); note that this is half of an equilateral triangle
x^(a+b)

34. sides of isoceles right triangle
1 - 1 - root(2)
P(E and F) = P(E)P(F)
Three sides congruent - two sides and included angle - two angles and included side
1

35. possible combinations of three digits without allowing repeats
1098 etc
P(E or F) = P(E) + P(F)
In computing the average squared difference from the mean (taking the root of this is the standard deviation) - divide by n-1 instead of n
x^(a+b)

36. divisible by 9
x^(a-b) or a/x^(b-a)
Sum of its digits is divisible by 9
A + B - their intersection
Pi * r^2

37. area of a non-right triangle
Opposite angles formed by two intersecting lines; always congruent
Invert the second fraction and multiply them
Any line connecting two points on a circle. The diameter is a chord
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.

38. area of sector of circle
1
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
Sum of its digits is divisible by 9
1 - 2 - root(3); note that this is half of an equilateral triangle

39. number of elements in set S
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
Number of outcomes yielding E / number of total outcomes
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
|S|

40. congruency of triangles
N!/k!(n-k)! which is also denotes as n choose k
101010
Three sides congruent - two sides and included angle - two angles and included side
x^ab

41. volume of rectangle
Lwh
A + B - their intersection
Side opposite the right angle
x^(a+b)

42. divisible by 6
Rules for 2 and three: even and the sum of its digits is divisible by three
At least two congruent sides; the angles opposite these sides are also congruent
2(pir^2) + 2pirh; the two bases and the side
Pi * r^2

43. x^0
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
1/2 base * height
1
Pi * r^2

44. possible combinations of three digits allowing repeats
All its interior angles are congruent
N(n-1)(n-2)...(2)(1) = n!
101010
1/2 base * height

45. divisible by 8
Last three digits (taken together) are divisible by 8
All its interior angles are congruent
Side opposite the right angle
N-2

46. probability of an event E
Number of outcomes yielding E / number of total outcomes
P(E and F) = P(E)P(F)
2pi*r
1

47. sum of relative frequencies in a frequency distribution
Number of outcomes yielding E / number of total outcomes
1 if decimals - 100 if percents
x^ab
1 - 2 - root(3); note that this is half of an equilateral triangle

48. hypotenuse
Side opposite the right angle
P(E and F) = P(E)P(F)
2pi*r
Always equal - i.e. 9 choose 3 = 9 choose 6

49. standardization/normalization
Subtract the mean from each value and divide by the standard deviation
N!/(n-k)!
1/x^a
Pi*r^2h

50. isosceles triangle
1098 etc
At least two congruent sides; the angles opposite these sides are also congruent
2pi*r
A + B - their intersection

?:?:)

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Test your basic knowledge |

GRE Math Rules

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Search BasicVersity Tests

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3d Computer Modeling

Actionscript

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Adobe Illustrator

Adobe Illustrator Shortcuts

Adobe Indesign Publishing

Adobe Photoshop CS 2 - CS 3

Adobe Photoshop CS 5

Adobe Photoshop CS 5 Keyboard Shortcuts

Adobe Photoshop Graphic Design

Adobe Photoshop Tools And Commands

Adobe Premiere Keyboard Shortcuts

Adobe Premiere Pro

After Effects Keyboard Shortcuts

Agile Development

Agile Scrum Methodology

Ajax

Android Programming

Animation

Asp.net Programming