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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 rectangle - square - parallelogram
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.
A=bh
(a+b)²
x² -2xy + y²

2. Surface Area of Cylinder
S^2
2pir^2 + 2pir*h
Groups - teams - or committees.
y = k/x

3. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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'.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

4. What is an 'equilateral' triangle?
2Length + 2width [or (length + width) x 2]
(pi)r^2(h)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1/2 h (b1 + b2)

5. 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.
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.
2pir^2 + 2pir*h
Sum of the lengths of the sides

6. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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
(0 -0)
1.7

7. What is the area of a cylinder?
2(pi)r(r+h)
The set of points which are all the same distance (the radius) from a certain point (the center).
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

8. a²-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-b)(a+b)
(n/2) * (t1+tn)
(y-y1)=m(x-x1)

9. Perimeter of polygon
Sum of the lengths of the sides
y = kx
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.
C =?d

10. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
y = kx
b±[vb²-4ac]/2a
½(b1 +b2) x h [or (b1 +b2) x h÷2]

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

12. (a+b)(a-b)=
Lw
A²-b²
1/2bh
The distance from one point on the circle to another point on the circle.

13. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
4s
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
?r²

14. Area of a square
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.
S² - where s = length of a side
Sum of the lengths of the sides
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

15. What is the 'Third side' rule for triangles?
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.
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'.
1.7
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.

16. If x² = 144 - does v144 = x?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Not necessarily. This is a trick question - because x could be either positive or negative.
The total # of possible outcomes.
2pi*r

17. How do you find the nth term of an arithmetic sequence?
(pi)r^2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*r^2
T1 + (n-1)d

18. Volume of prism
1/x^a
Number of desired outcomes/number of total outcomes
Bh
The total # of possible outcomes.

19. What is the side ratio for a Right Isosceles triangle?
(x1+x2)/2 - (y1+y2)/2
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.
Bh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

20. In a coordinate system - what is the origin?
(0 -0)
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
Sum of the lengths of the sides
1/1

21. What is the factored version of x² -2xy + y² ?
x°/360 times (2 pi r) - where x is the degrees in the angle
The distance from one point on the circle to another point on the circle.
(x-y)²
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

22. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
(pi)r^2
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.
2(pi)r(r+h)

23. What is a '30:60:90' triangle?
(pi)r^2
An ange whose vertex is the center of the circle
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
(pi)r^2(h)

24. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
(n degrees/360) * 2(pi)r
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+b)²
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.

25. Define the 'Third side' rule for triangles

26. What is the factored version of (x+y)(x-y) ?
T1 * r^(n-1)
x°/360 times (2 pi r) - where x is the degrees in the angle
C =?d
x²-y²

27. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
An ange whose vertex is the center of the circle
A=?r2
S*v2

28. What is the unfactored version of x²-y² ?
(a+b)(a-b)
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(x+y)(x-y)

29. Surface Area of Sphere
2(lw+wh+lh)
4pir^2
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

30. perimeter of square
y2-y1/x2-x1
2Length + 2width [or (length + width) x 2]
N x M
4s

31. Circumference Formula
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
T1 * r^(n-1)/(r-1)
C =?d
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.

32. Explain the special properties of zero.
x°/360 times (2 pi r) - where x is the degrees in the angle
1/1
N x M
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.

33. How do you find the nth term of a geometric sequence?
2 pi r
?r²
T1 * r^(n-1)
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.

34. Surface Area of rectangular prism
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
2lw+2lh+2wh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A segment connecting the center of a circle to any point on the circle

35. Area of Parallelogram
(0 -0)
4/3pir^3
Total distance/total time
Bh

36. In a parabola - if the first term is positive - the parabola ________.
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.
Opens up
S² - where s = length of a side
1/2bh

37. Volume of pyramid
1/3Bh
An ange whose vertex is the center of the circle
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Bh

38. List two odd behaviors of exponents
(n/2) * (t1+tn)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Bh
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.

39. What is the volume of a cylinder?
y = k/x
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.
(pi)r^2(h)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

40. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The average - mean - median - or mode.
Number of desired outcomes/number of total outcomes
Arrangements - orders - schedules - or lists.

41. What number goes on the bottom of a probability fraction?
1/3pir^2*h
Not necessarily. This is a trick question - because x could be either positive or negative.
(a-b)(a+b)
The total # of possible outcomes.

42. What is a 'Right isosceles' triangle?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A²-b²
Opens up
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.

43. What is the surface area of a cylinder?
Probability A + Probability B
Equal
2(pi)r(r+h)
2pi*r

44. How do you calculate a diagonal inside a 3-dimensional 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.
The four big angles are equal and the four small angles are equal
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

45. Define the mode of a set of numbers.
(pi)r^2
Middle term
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.

46. What is the length of an arc?
Between 0 and 1.
A+b
(n degrees/360) * 2(pi)r
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.

47. Define a factorial of a number - and how it is written.
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(lw+wh+lh)
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.

48. In a parabola - if the first term is negative - the parabola ________.
(pi)r^2
The average - mean - median - or mode.
Opens down
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

49. x^-a =
Bh
Arrangements - orders - schedules - or lists.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/x^a

50. How do you find the slope?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1. Given event A: A + notA = 1.
y = kx
y2-y1/x2-x1