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GRE Math Rules

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. advantage of median
Less affected by outliers than the mean
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
Three sides congruent - two sides and included angle - two angles and included side
N!/k!(n-k)! which is also denotes as n choose k

2. divisible by 3
1098 etc
Sum of its digits is divisible by 3
N(n-1)(n-2)...(2)(1) = n!
2(pir^2) + 2pirh; the two bases and the side

3. possible combinations of three digits without allowing repeats
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
1098 etc
At least two congruent sides; the angles opposite these sides are also congruent
Rules for 2 and three: even and the sum of its digits is divisible by three

4. area of cylinder
2(pir^2) + 2pirh; the two bases and the side
P(E and F) = P(E)P(F)
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
Less affected by outliers than the mean

5. (x^a)^b
2(pir^2) + 2pirh; the two bases and the side
x^ab
P(E or F) = P(E) + P(F)
Subtract the mean from each value and divide by the standard deviation

6. relationship between n choose k and n choose n-k
1/2 base * height
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
Always equal - i.e. 9 choose 3 = 9 choose 6
1 - 1 - root(2)

7. sum of relative frequencies in a frequency distribution
Last two digits (taken together) are divisible by 4
1 if decimals - 100 if percents
|S|
All its interior angles are congruent

8. sides of isoceles right triangle
N(n-1)(n-2)...(2)(1) = n!
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
1 - 1 - root(2)
Invert the second fraction and multiply them

9. divisible by 9
1/2 base * height
N!/k!(n-k)! which is also denotes as n choose k
Sum of its digits is divisible by 9
A + B - their intersection

10. divisible by 8
Last three digits (taken together) are divisible by 8
1 - 2 - root(3); note that this is half of an equilateral triangle
Base * height
Last two digits (taken together) are divisible by 4

11. divisible by 6
Opposite angles formed by two intersecting lines; always congruent
Base * height
Rules for 2 and three: even and the sum of its digits is divisible by three
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

12. mutually exclusive
1 - 1 - root(2)
Any line connecting two points on a circle. The diameter is a chord
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
P(E or F) = P(E) + P(F)

13. divisible by 4
Lwh
Last two digits (taken together) are divisible by 4
1 - 2 - root(3); note that this is half of an equilateral triangle
|S|

14. divisible by 11
1/x^a
Pi*r^2h
2pi*r
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.

15. circumference of circle
2pi*r
Base * height
(x^a)/(y^a)
Always equal - i.e. 9 choose 3 = 9 choose 6

16. (x^a)/(x^b)
x^(a-b) or a/x^(b-a)
Lwh
P(E or F) = P(E) + P(F)
Side opposite the right angle

17. length of arc of circle
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.
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
Sum of its digits is divisible by 3

18. x^0
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
1
A + B - their intersection
Less affected by outliers than the mean

19. vertical angles
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
Opposite angles formed by two intersecting lines; always congruent
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
1

20. independence of two events E and F
Three sides congruent - two sides and included angle - two angles and included side
1 if decimals - 100 if percents
1 - 1 - root(2)
P(E and F) = P(E)P(F)

21. differences between a set and a list
Less affected by outliers than the mean
The sum of the areas of the six faces: 2(lw + lh + wh)
Sum of its digits is divisible by 9
A list is ordered and can have duplicates

22. area of parallelogram
The sum of the areas of the six faces: 2(lw + lh + wh)
Base * height
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
1098 etc

23. regular polygon
The sum of the areas of the six faces: 2(lw + lh + wh)
1 - 2 - root(3); note that this is half of an equilateral triangle
All its interior angles are congruent
N!/k!(n-k)! which is also denotes as n choose k

24. similar triangles
1/x^a
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).

25. x^-a
1/x^a
Pi * r^2
Subtract the mean from each value and divide by the standard deviation
At least two congruent sides; the angles opposite these sides are also congruent

26. area of a non-right triangle
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
The sum of the areas of the six faces: 2(lw + lh + wh)
(xy)^a
|S|

27. area of rectangle
Sum of its digits is divisible by 9
N!/k!(n-k)! which is also denotes as n choose k
1
The sum of the areas of the six faces: 2(lw + lh + wh)

28. volume of rectangle
x^(a+b)
Opposite angles formed by two intersecting lines; always congruent
Lwh
1 - 1 - root(2)

29. probability of an event E
Number of outcomes yielding E / number of total outcomes
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
(x^a)/(y^a)
x^(a+b)

30. hypotenuse
N!/k!(n-k)! which is also denotes as n choose k
1 - 1 - root(2)
Side opposite the right angle
A list is ordered and can have duplicates

31. permutations of n different objects
2(pir^2) + 2pirh; the two bases and the side
P(E and F) = P(E)P(F)
N(n-1)(n-2)...(2)(1) = n!
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).

32. volume of cylinder
(xy)^a
Pi*r^2h
N-2
Last two digits (taken together) are divisible by 4

33. area of triangle
Opposite angles formed by two intersecting lines; always congruent
Side opposite the right angle
1098 etc
1/2 base * height

34. (x^a)(x^b)
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
x^(a+b)
Sum of its digits is divisible by 3
All its interior angles are congruent

35. area of sector of circle
2(pir^2) + 2pirh; the two bases and the side
Opposite angles formed by two intersecting lines; always congruent
The sum of the areas of the six faces: 2(lw + lh + wh)
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.

36. number of elements in set S
1
|S|
Lwh
Number of outcomes yielding E / number of total outcomes

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

38. chord
Side opposite the right angle
Mean of the two middle ones
Three sides congruent - two sides and included angle - two angles and included side
Any line connecting two points on a circle. The diameter is a chord

39. (x^a)(y^a)
A + B - their intersection
(xy)^a
Last three digits (taken together) are divisible by 8
At least two congruent sides; the angles opposite these sides are also congruent

40. sum of measures of interior angles of a polygon with n sides
(n-2)(180 degrees)
At least two congruent sides; the angles opposite these sides are also congruent
Rules for 2 and three: even and the sum of its digits is divisible by three
Base * height

41. probability that either E or F occur
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
P(E and F) = P(E)P(F)
101010
P(E) + P(F) - P(E and F)

42. area of trapezoid
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
Pi * r^2
2(pir^2) + 2pirh; the two bases and the side
1098 etc

43. what'S the median if there are an even number of data points?
Mean of the two middle ones
Invert the second fraction and multiply them
x^ab
Pi*r^2h

44. sides of 30/60/90 triangle
(xy)^a
1/x^a
1 - 1 - root(2)
1 - 2 - root(3); note that this is half of an equilateral triangle

45. dividing fractions
Invert the second fraction and multiply them
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
(xy)^a
Number of outcomes yielding E / number of total outcomes

46. difference between normal or population standard deviation and the sample standard deviation
All its interior angles are congruent
1/2 base * height
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
1/x^a

47. possible combinations of three digits allowing repeats
Base * height
101010
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
At least two congruent sides; the angles opposite these sides are also congruent

48. how many triangles can a polygon of n sides be divided into?
1098 etc
1/2 base * height
N-2
x^(a-b) or a/x^(b-a)

49. congruency of triangles
Three sides congruent - two sides and included angle - two angles and included side
At least two congruent sides; the angles opposite these sides are also congruent
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).

50. (x/y)^a
x^(a-b) or a/x^(b-a)
(x^a)/(y^a)
Three sides congruent - two sides and included angle - two angles and included side
x^(a+b)

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GRE Math Rules

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