SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
Search
Test your basic knowledge |
GRE Math Rules
Start Test
Study First
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. area of triangle
1/2 base * height
(x^a)/(y^a)
Mean of the two middle ones
Rules for 2 and three: even and the sum of its digits is divisible by three
2. possible combinations of three digits allowing repeats
101010
1/x^a
Pi*r^2h
Last three digits (taken together) are divisible by 8
3. divisible by 11
Sum of its digits is divisible by 3
Pi*r^2h
Three sides congruent - two sides and included angle - two angles and included side
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
4. regular polygon
At least two congruent sides; the angles opposite these sides are also congruent
Always equal - i.e. 9 choose 3 = 9 choose 6
Pi * r^2
All its interior angles are congruent
5. area of parallelogram
Last two digits (taken together) are divisible by 4
P(E or F) = P(E) + P(F)
The sum of the areas of the six faces: 2(lw + lh + wh)
Base * height
6. advantage of median
Less affected by outliers than the mean
Any line connecting two points on a circle. The diameter is a chord
x^(a-b) or a/x^(b-a)
1/2 base * height
7. standardization/normalization
Subtract the mean from each value and divide by the standard deviation
All its interior angles are congruent
(xy)^a
Side opposite the right angle
8. differences between a set and a list
N!/(n-k)!
A list is ordered and can have duplicates
Sum of its digits is divisible by 9
All its interior angles are congruent
9. (x^a)(y^a)
Opposite angles formed by two intersecting lines; always congruent
(xy)^a
2(pir^2) + 2pirh; the two bases and the side
A + B - their intersection
10. independence of two events E and F
1 if decimals - 100 if percents
A list is ordered and can have duplicates
P(E and F) = P(E)P(F)
Invert the second fraction and multiply them
11. sides of 30/60/90 triangle
Invert the second fraction and multiply them
1 - 2 - root(3); note that this is half of an equilateral triangle
Base * height
Last three digits (taken together) are divisible by 8
12. permutations of n objects taken k at a time (order counts)
N!/(n-k)!
P(E and F) = P(E)P(F)
x^ab
Pi * r^2
13. number of elements in set S
The sum of the areas of the six faces: 2(lw + lh + wh)
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
Lwh
|S|
14. relationship between n choose k and n choose n-k
Number of outcomes yielding E / number of total outcomes
Subtract the mean from each value and divide by the standard deviation
Last three digits (taken together) are divisible by 8
Always equal - i.e. 9 choose 3 = 9 choose 6
15. mutually exclusive
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
P(E or F) = P(E) + P(F)
1/2 base * height
1 - 2 - root(3); note that this is half of an equilateral triangle
16. probability of an event E
Number of outcomes yielding E / number of total outcomes
101010
x^(a+b)
Lwh
17. permutations of n different objects
N-2
N(n-1)(n-2)...(2)(1) = n!
Opposite angles formed by two intersecting lines; always congruent
P(E and F) = P(E)P(F)
18. union of sets A and B
101010
A + B - their intersection
(x^a)/(y^a)
x^(a-b) or a/x^(b-a)
19. (x^a)^b
A list is ordered and can have duplicates
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
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
x^ab
20. divisible by 6
Rules for 2 and three: even and the sum of its digits is divisible by three
Last two digits (taken together) are divisible by 4
N-2
1 - 1 - root(2)
21. 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
N!/(n-k)!
x^ab
101010
22. length of arc of circle
1098 etc
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
Last three digits (taken together) are divisible by 8
Any line connecting two points on a circle. The diameter is a chord
23. chord
1 - 1 - root(2)
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.
Sum of its digits is divisible by 3
24. area of circle
Pi * r^2
N(n-1)(n-2)...(2)(1) = n!
Base * height
A list is ordered and can have duplicates
25. divisible by 3
Sum of its digits is divisible by 3
Less affected by outliers than the mean
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
101010
26. possible combinations of three digits without allowing repeats
Side opposite the right angle
P(E or F) = P(E) + P(F)
(xy)^a
1098 etc
27. what'S the median if there are an even number of data points?
The sum of the areas of the six faces: 2(lw + lh + wh)
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
Rules for 2 and three: even and the sum of its digits is divisible by three
Mean of the two middle ones
28. area of rectangle
N(n-1)(n-2)...(2)(1) = n!
Lwh
The sum of the areas of the six faces: 2(lw + lh + wh)
Invert the second fraction and multiply them
29. congruency of triangles
Three sides congruent - two sides and included angle - two angles and included side
Last two digits (taken together) are divisible by 4
The sum of the areas of the six faces: 2(lw + lh + wh)
1/2 base * height
30. similar triangles
|S|
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
101010
Invert the second fraction and multiply them
31. (x^a)/(x^b)
Congruent angles (check this to be sure) but possibly different size. Can use proportions to get other values by cross-multiplication
Less affected by outliers than the mean
1 if decimals - 100 if percents
x^(a-b) or a/x^(b-a)
32. (x/y)^a
At least two congruent sides; the angles opposite these sides are also congruent
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
(x^a)/(y^a)
Length of arc has the same proportion to the circumference that the arc measure (angle) has to 360 degrees.
33. probability that either E or F occur
P(E) + P(F) - P(E and F)
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
At least two congruent sides; the angles opposite these sides are also congruent
P(E and F) = P(E)P(F)
34. dividing fractions
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
Side opposite the right angle
Last two digits (taken together) are divisible by 4
Invert the second fraction and multiply them
35. sum of relative frequencies in a frequency distribution
1098 etc
N!/k!(n-k)! which is also denotes as n choose k
(n-2)(180 degrees)
1 if decimals - 100 if percents
36. circumference of circle
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
2pi*r
Sum of its digits is divisible by 3
1 - 1 - root(2)
37. area of sector of circle
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
1 - 2 - root(3); note that this is half of an equilateral triangle
P(E or F) = P(E) + P(F)
Sum of its digits is divisible by 3
38. area of cylinder
Last three digits (taken together) are divisible by 8
Area of sector has the same proportion to the total area that the arc measure (angle) has to 360 degrees.
2(pir^2) + 2pirh; the two bases and the side
1/2 base * height
39. how many triangles can a polygon of n sides be divided into?
Side opposite the right angle
x^ab
Pi*r^2h
N-2
40. area of trapezoid
At least two congruent sides; the angles opposite these sides are also congruent
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) + P(F) - P(E and F)
1/2(b1 + b2)h - where b1 and b2 are the two parallel sides
41. how to tell if something is prime
x^(a+b)
Divide it by the prime numbers from 2 to the closest to the square root of the number (round down).
The sum of the areas of the six faces: 2(lw + lh + wh)
N!/k!(n-k)! which is also denotes as n choose k
42. x^-a
Number of outcomes yielding E / number of total outcomes
1/2 base * height
Pi * r^2
1/x^a
43. x^0
Three sides congruent - two sides and included angle - two angles and included side
1/2 base * height
1
At least two congruent sides; the angles opposite these sides are also congruent
44. area of a non-right triangle
Base * height
Still bh/2 - but you can draw h as a line perpendicular to an extension of any side you take as the base.
Rules for 2 and three: even and the sum of its digits is divisible by three
N!/(n-k)!
45. divisible by 9
Opposite angles formed by two intersecting lines; always congruent
Base * height
Sum of its digits is divisible by 9
A + B - their intersection
46. vertical angles
1 - 2 - root(3); note that this is half of an equilateral triangle
Opposite angles formed by two intersecting lines; always congruent
N(n-1)(n-2)...(2)(1) = n!
(1st digit + 3rd + 5th...) - (2nd + 4th + 6th...) is divisible by 11.
47. isosceles triangle
At least two congruent sides; the angles opposite these sides are also congruent
1
(n-2)(180 degrees)
N!/k!(n-k)! which is also denotes as n choose k
48. hypotenuse
Side opposite the right angle
A + B - their intersection
x^ab
2pi*r
49. divisible by 4
N(n-1)(n-2)...(2)(1) = n!
N!/k!(n-k)! which is also denotes as n choose k
Last two digits (taken together) are divisible by 4
N!/(n-k)!
50. volume of cylinder
1/x^a
Pi*r^2h
x^(a+b)
All its interior angles are congruent