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GRE Math 2

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. Radius (Radii)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A segment connecting the center of a circle to any point on the circle
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values

2. a+b
A-b
(a+b)(a-ab+b)
Equal
A segment connecting the center of a circle to any point on the circle

3. What is the distance formula?
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
2(pi)r(r+h)
Less
Sqr( x2 -x1) + (y2- y1)

4. If something is certain to happen - how is the probability of this event expressed mathematically?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Percentage Change = Difference/Original * 100
1/1
x/360 times (?r) - where x is the degrees in the angle

5. x^a * x^b = x^__
A+b
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.
Sqr( x2 -x1) + (y2- y1)
Bh

6. Does order matter for a permutation? How about for a combination?
(a+b)(a-ab+b)
Order does matter for a permutation - but does not matter for a combination.
2(pi)r(r+h)
A=bh

7. How do you solve a permutation?
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1. Figure out how many slots you have (i.e. there are 3 winning positions in a race - 1st - 2nd - and 3rd) 2. Write down the number of possible options for each slot (i.e. 5 runners in the race - so 5 options for the 1st slot - 4 options for the 2nd
(x+y)(x-y)

8. How do you calculate the percentage of change?
1/2bh
Percentage Change = Difference/Original * 100
(n/2) * (t1+tn)
The total # of possible outcomes.

9. (a+b)(a-b)=
x -2xy + y
A-b
A=bh
A segment connecting the center of a circle to any point on the circle

10. How do you find the sum of an arithmetic sequence?
S^2
y = kx
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
(n/2) * (t1+tn)

11. length of a sector
Arrangements - orders - schedules - or lists.
Not necessarily. This is a trick question - because x could be either positive or negative.
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
x/360 times (2 pi r) - where x is the degrees in the angle

12. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
2 pi r
1
A=bh

13. In a parabola - if the first term is positive - the parabola ________.
This triangle is a square divided along its diagonal. Interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Opens up
(a-b)(a+b)
1. Given event A: A + notA = 1.

14. perimeter of square
1/x^a
4s
(a-b)(a+b)
T1 * r^(n-1)/(r-1)

15. Diameter
(y-y1)=m(x-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x+y)
1/3Bh

16. How do you multiply powers with the same base?
A-b
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Add the exponents - retain the base. for example - x + x5 = x+5 = x7

17. Area of a square
(a+b)
(a-b)(a+b)
S - where s = length of a side
2(pi)r(r+h)

18. What is the area of a solid rectangle?
2(lw+wh+lh)
Last term
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
A+b

19. List two odd behaviors of exponents
?d OR 2?r
Negative
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2) = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287 = 1.
Groups - teams - or committees.

20. In intersecting lines - opposite angles are _____.
Equal
1.7
(n-2)180
4/3pir^3

21. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2x2x2x5x5
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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) = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287 = 1.

22. Surface Area of rectangular prism
2lw+2lh+2wh
1. Given event A: A + notA = 1.
Sqr( x2 -x1) + (y2- y1)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

23. What is directly proportional?
Total distance/total time
Probability A * Probability B
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
y = kx

24. Volume of pyramid
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1/3Bh
S*v2
Sum of terms/number of terms

25. Circumference of a circle using radius
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2pi*r
Number of desired outcomes/number of total outcomes

26. Perimeter of a square
S*v2
4s (where s = length of a side)
Order does matter for a permutation - but does not matter for a combination.
2l+2w

27. How do you find the midpoint?
Opens up
1/2bh
(x1+x2)/2 - (y1+y2)/2
Add the exponents - retain the base. for example - x + x5 = x+5 = x7

28. Rough est. of v2 =
A segment connecting the center of a circle to any point on the circle
(y-y1)=m(x-x1)
1.4
(x+y)(x-y)

29. Sector
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
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.
(x-y)

30. What is the average?
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.
Sum of terms/number of terms
x/360 times (2 pi r) - where x is the degrees in the angle
S^2

31. Area of a sector
b[vb-4ac]/2a
x/360 times (?r) - where x is the degrees in the angle
Lw
2(pi)r(r+h)

32. Rough est. of v3 =
1.7
S*v2
T1 * r^(n-1)
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.

33. What is the area of a triangle?
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
2x2x2x5x5
Order does matter for a permutation - but does not matter for a combination.
1/2bh

34. What is a '30:60:90' triangle?
Part of a circle connecting two points on the circle.
Lwh
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
Probability A * Probability B

35. What do combination problems usually ask for?
The four big angles are equal and the four small angles are equal
Groups - teams - or committees.
1/1
A-b

36. What is the surface area of a cylinder?
Equal
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
2(pi)r(r+h)
y = k/x

37. a - b is equal to
(pi)r^2
2(pi)r(r+h)
b[vb-4ac]/2a
(a+b)(a-b)

38. Point-Slope form
y-y1=m(x-x1)
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 total # of possible outcomes.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

39. What is the factored version of (x+y)(x-y) ?
x + 2xy + y
Bh
x-y
A segment connecting the center of a circle to any point on the circle

40. Surface Area of Cylinder
2pir^2 + 2pir*h
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.
b[vb-4ac]/2a
1/2bh

41. Perimeter (circumference) of a circle
1/3Bh
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 - where s = length of a side
2 pi r

42. How do you find the sum of a geometric sequence?
(x-y)
T1 * r^(n-1)/(r-1)
4s (where s = length of a side)
Part of a circle connecting two points on the circle.

43. What number goes on the bottom of a probability fraction?
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
The total # of possible outcomes.
(a+b)(a-b)
1/3pir^2*h

44. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
1/2 h (b1 + b2)
1. Given event A: A + notA = 1.
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y

45. Explain the difference between a digit and a number.
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'.
(a+b)(a-b)
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.
x + 2xy + y

46. 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.
Between 0 and 1.
1/1
Order does matter for a permutation - but does not matter for a combination.

47. What is the prime factorization of 200?
A segment connecting the center of a circle to any point on the circle
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.
1. Figure out how many slots you have (i.e. there are 3 winning positions in a race - 1st - 2nd - and 3rd) 2. Write down the number of possible options for each slot (i.e. 5 runners in the race - so 5 options for the 1st slot - 4 options for the 2nd
2x2x2x5x5

48. Volume of Cylinder
N x M
Pir^2h
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

49. Circumference of a circle
y2-y1/x2-x1
(a+b)
?d OR 2?r
(pi)r^2

50. What is the formula for the diagonal of any square?
Pi*r^2
Opens up
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.
S*v2

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