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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. Radius (Radii)
An ange whose vertex is the center of the circle
1/x^a
Lwh
A segment connecting the center of a circle to any point on the circle

2. Area of Circle
Pi*r^2
(x+y)²
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.
T1 * r^(n-1)

3. When you reverse FOIL - the term that needs to add out is the _____
Middle term
Sqr( x2 -x1) + (y2- y1)
4pir^2
The set of points which are all the same distance (the radius) from a certain point (the center).

4. What is the probability?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y = kx
½(base x height) [or (base x height)÷2]
Number of desired outcomes/number of total outcomes

5. What number goes on the bottom of a probability fraction?
The set of points which are all the same distance (the radius) from a certain point (the center).
The total # of possible outcomes.
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.
2Length + 2width [or (length + width) x 2]

6. What is inversely proportional?
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
The distance from one point on the circle to another point on the circle.
y = k/x
Probability A * Probability B

7. Perimeter of rectangle
Total distance/total time
2l+2w
Middle term
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

8. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
2l+2w
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'.
1/3Bh

9. How do you find the nth term of a geometric sequence?
Between 0 and 1.
T1 * r^(n-1)
4pir^2
2(pi)r

10. How do you find the sum of an arithmetic sequence?
1/2bh
T1 + (n-1)d
(n/2) * (t1+tn)
Bh

11. What is the unfactored version of (x-y)² ?
The set of points which are all the same distance (the radius) from a certain point (the center).
x² -2xy + y²
4/3pir^3
1

12. How do you calculate a diagonal inside a 3-dimensional rectangular box?
1
1/2 h (b1 + b2)
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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

13. How do you find the nth term of an arithmetic sequence?
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.
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'.
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.
T1 + (n-1)d

14. How do you find the midpoint?
4s
1
x°/360 times (2 pi r) - where x is the degrees in the angle
(x1+x2)/2 - (y1+y2)/2

15. How do you find the sum of a geometric sequence?
(0 -0)
(a-b)²
T1 * r^(n-1)/(r-1)
1. Given event A: A + notA = 1.

16. List two odd behaviors of exponents
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. 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.
Probability A + Probability B
2(pi)r(r+h)

17. Surface Area of Sphere
1/2 h (b1 + b2)
4pir^2
The average - mean - median - or mode.
Probability A + Probability B

18. Area of rectangle - square - parallelogram
(pi)r^2(h)
1/2 h (b1 + b2)
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.
A=bh

19. What is directly proportional?
Less
C =?d
Order does matter for a permutation - but does not matter for a combination.
y = kx

20. What is 'absolute value' - and how is it represented?

21. What do combination problems usually ask for?
N x M
Groups - teams - or committees.
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

22. What is the distance formula?
1/3pir^2*h
(a+b)(a-b)
Sqr( x2 -x1) + (y2- y1)
4s (where s = length of a side)

23. In a coordinate system - identify the quadrants and describe their location.
1. Given event A: A + notA = 1.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(a-b)²

24. What is the surface area of a cylinder?
Bh
2(lw+wh+lh)
x°/360 times (?r²) - where x is the degrees in the angle
2(pi)r(r+h)

25. What is the area of a sector?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Opens up
A²-b²
(n degrees/360) * (pi)r^2

26. a²-b²
Equal
1/2bh
(a-b)(a+b)
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.

27. What is the factored version of x² -2xy + y² ?
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.
(a-b)²
(x-y)²
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.

28. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
b±[vb²-4ac]/2a
Middle term
(n degrees/360) * (pi)r^2

29. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a+b)(a²-ab+b²)
S^2
y2-y1/x2-x1

30. Volume of sphere
Pir^2h
N x M
4/3pir^3
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.

31. Area of a sector
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(pi)r
x°/360 times (?r²) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.

32. Explain the difference between a digit and a number.

33. Area of Trapezoid
1/2 h (b1 + b2)
y-y1=m(x-x1)
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.
S*v2

34. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

35. How do you solve a permutation?
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
A=?r2
Order does matter for a permutation - but does not matter for a combination.
1.7

36. Rough est. of v1 =
The distance across the circle through the center of the circle.The diameter is twice the radius.
1/1
(x+y)²
1

37. Quadratic Formula
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
(x1+x2)/2 - (y1+y2)/2
S² - where s = length of a side
b±[vb²-4ac]/2a

38. When a line crosses two parallel lines - ________.
1/1
(y-y1)=m(x-x1)
The four big angles are equal and the four small angles are equal
C =?d

39. Area of Parallelogram
(a+b)(a²-ab+b²)
Bh
Opens down
4pir^2

40. What is the point-slope form?
Arrangements - orders - schedules - or lists.
x² -2xy + y²
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.
(y-y1)=m(x-x1)

41. What is the length of an arc?
Probability A + Probability 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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n degrees/360) * 2(pi)r

42. Surface Area of rectangular prism
The total # of possible outcomes.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2lw+2lh+2wh
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.

43. What is the factored version of (x+y)(x-y) ?
2l+2w
T1 * r^(n-1)
x²-y²
(x+y)(x-y)

44. What is an 'equilateral' triangle?
S*v2
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.
y2-y1/x2-x1
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

45. perimeter of square
Less
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
4s
Pir^2h

46. Rough est. of v2 =
y-y1=m(x-x1)
1.4
Opens up
x² + 2xy + y²

47. Area of Circles
Total distance/total time
A=?r2
The four big angles are equal and the four small angles are equal
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.

48. Sector
4/3pir^3
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.
T1 + (n-1)d

49. What is the prime factorization of 200?
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.
A+b
2 pi r
2x2x2x5x5

50. x^a * x^b = x^__
A+b
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]