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GRE Math 2

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 a sector
T1 + (n-1)d
2(pi)r(r+h)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x°/360 times (?r²) - where x is the degrees in the angle

2. What is the average?
4pir^2
The total # of possible outcomes.
(a-b)(a+b)
Sum of terms/number of terms

3. What is the 'distributive law'?
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
1.4
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
(n degrees/360) * (pi)r^2

4. Volume of Cylinder
b±[vb²-4ac]/2a
Middle term
1/3Bh
Pir^2h

5. Circumference of cirlce using diameter
2(pi)r(r+h)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(a-b)(a+b)
Pi*d

6. What is the unfactored version of x²-y² ?
(x+y)(x-y)
x² -2xy + y²
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Probability A * Probability B

7. When you reverse FOIL - the term that needs to add out is the _____
S^2
(x1+x2)/2 - (y1+y2)/2
(pi)r^2(h)
Middle term

8. Define the mode of a set of numbers.
(y-y1)=m(x-x1)
Total distance/total time
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
The mode is the number in a set that occurs most frequently. Example: for the set {3 -6 -3 -8 -9 -3 -11} the number 3 appears most frequently so it is the mode.

9. Perimeter of a rectangle
(x1+x2)/2 - (y1+y2)/2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2Length + 2width [or (length + width) x 2]
x²-y²

10. Perimeter (circumference) of a circle
N x M
4s
y = k/x
2 pi r

11. Volume of pyramid
1/3Bh
y2-y1/x2-x1
(x-y)²
(n degrees/360) * 2(pi)r

12. perimeter of square
Equal
b±[vb²-4ac]/2a
x² -2xy + y²
4s

13. In a coordinate system - what is the origin?
(y-y1)=m(x-x1)
2 pi r
y = k/x
(0 -0)

14. Define the 'Third side' rule for triangles

15. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
C =?d
2x2x2x5x5
4pir^2

16. Sector
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
Ac+ad+bc+bd

17. Define the range of a set of numbers.
x°/360 times (2 pi r) - where x is the degrees in the angle
1.7
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.

18. Surface Area of Cylinder
2pir^2 + 2pir*h
y2-y1/x2-x1
The length of any one side of a triangle must be less than the sum of the other two sides. It must also be greater than the difference between the other two sides. So - 'A' will always be < B+C - and > B-C or C-B.
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.

19. What do combination problems usually ask for?
S*v2
y = kx
(x+y)(x-y)
Groups - teams - or committees.

20. What is the 'Third side' rule for triangles?
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
T1 + (n-1)d
Part of a circle connecting two points on the circle.

21. Quadratic Formula
1/2bh
2 pi r
Zero is even. It is an integer. It is neither positive nor negative. Zero multiplied by any other number = zero. You cannot divide by zero.
b±[vb²-4ac]/2a

22. (a+b)(c+d)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
This is an equilateral triangle that has been divided along its height. Interior angles are 30:60:90 degrees. Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse. This allows you to deduce any side - given
Ac+ad+bc+bd
b±[vb²-4ac]/2a

23. How do you calculate the surface area of a rectangular box?
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
S^2
Pir^2h

24. For a bell curve - what three terms might be used to describe the number in the middle?
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
A segment connecting the center of a circle to any point on the circle
The average - mean - median - or mode.
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.

25. How do you multiply powers with the same base?
2pir^2 + 2pir*h
N x M
4s (where s = length of a side)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

26. What is the length of an arc?
(n degrees/360) * 2(pi)r
2pir^2 + 2pir*h
(n degrees/360) * (pi)r^2
Ac+ad+bc+bd

27. x^a * x^b = x^__
x² -2xy + y²
Pi*d
The set of points which are all the same distance (the radius) from a certain point (the center).
A+b

28. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Bh
(n degrees/360) * 2(pi)r
Probability A + Probability B
(0 -0)

29. a²-b²
1/x^a
An ange whose vertex is the center of the circle
(a-b)(a+b)
Bh

30. Radius (Radii)
(a-b)(a²+ab+b²)
The length of any one side of a triangle must be less than the sum of the other two sides. It must also be greater than the difference between the other two sides. So - 'A' will always be < B+C - and > B-C or C-B.
A segment connecting the center of a circle to any point on the circle
2lw+2lh+2wh

31. What is inversely proportional?
1. Given event A: A + notA = 1.
1/2bh
y = k/x
(n degrees/360) * 2(pi)r

32. a³+b³
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
1. Factored: x² - y² Unfactored: (x+y)(x-y) 2. Factored: (x+y)² Unfactored: x² + 2xy + y² 3. Factored: (x-y)² Unfactored: x² - 2xy + y²
(a+b)(a²-ab+b²)
Equal

33. Volume of Cone
(pi)r^2
Number of desired outcomes/number of total outcomes
The distance from one point on the circle to another point on the circle.
1/3pir^2*h

34. In intersecting lines - opposite angles are _____.
Ac+ad+bc+bd
T1 * r^(n-1)
Equal
y2-y1/x2-x1

35. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The set of points which are all the same distance (the radius) from a certain point (the center).
A=?r2
(x-y)²

36. Explain the special properties of zero.
(a+b)²
Ac+ad+bc+bd
Zero is even. It is an integer. It is neither positive nor negative. Zero multiplied by any other number = zero. You cannot divide by zero.
A=?r2

37. What number goes on the bottom of a probability fraction?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
S*v2
The total # of possible outcomes.
?r²

38. Point-Slope form
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.
1/3pir^2*h
y-y1=m(x-x1)
A+b

39. Define 'proportionate' values
Probability A * Probability B
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A²-b²
The set of points which are all the same distance (the radius) from a certain point (the center).

40. List two odd behaviors of exponents
Part of a circle connecting two points on the circle.
Percentage Change = Difference/Original * 100
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.

41. How do you find the slope?
y2-y1/x2-x1
A²-b²
(x-y)²
Pi*r^2

42. a²-2ab+b²
Sqr( x2 -x1) + (y2- y1)
(a-b)²
A+b
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

43. What is the area of a solid rectangle?
?r²
2(lw+wh+lh)
Arrangements - orders - schedules - or lists.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

44. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
b±[vb²-4ac]/2a
Number of desired outcomes/number of total outcomes
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.

45. Area of a triangle
Negative
y2-y1/x2-x1
½(base x height) [or (base x height)÷2]
Bh

46. What is the probability?
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
?r²
Number of desired outcomes/number of total outcomes
2(pi)r

47. If x² = 144 - does v144 = x?
Groups - teams - or committees.
The four big angles are equal and the four small angles are equal
Not necessarily. This is a trick question - because x could be either positive or negative.
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.

48. What must be true before a quadratic equation can be solved?

49. What is the unfactored version of (x-y)² ?
Ac+ad+bc+bd
x² -2xy + y²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Sum of terms/number of terms

50. Central Angle
An ange whose vertex is the center of the circle
Arrangements - orders - schedules - or lists.
(x1+x2)/2 - (y1+y2)/2
Total distance/total time