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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. Surface Area of Cylinder
2pir^2 + 2pir*h
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 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.
Bh

2. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
?d OR 2?r
(base x height) [or (base x height)2]
Middle term
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

3. What is the distance formula?
4s
Less
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Sqr( x2 -x1) + (y2- y1)

4. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
2l+2w
N x M
Add the exponents - retain the base. for example - x + x5 = x+5 = x7
1/1

5. If something is possible but not certain - what is the numeric range of probability of it happening?
y-y1=m(x-x1)
Sqr( x2 -x1) + (y2- y1)
Between 0 and 1.
1.7

6. What do combination problems usually ask for?
y = k/x
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.
Groups - teams - or committees.
Opens up

7. Perimeter of a rectangle
(n/2) * (t1+tn)
1
(x1+x2)/2 - (y1+y2)/2
2Length + 2width [or (length + width) x 2]

8. What is the factored version of x -2xy + y ?
(x-y)
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.
A segment connecting the center of a circle to any point on the circle
y2-y1/x2-x1

9. What is directly proportional?
(n/2) * (t1+tn)
(a+b)(a-b)
1/1
y = kx

10. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
(0 -0)
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.
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 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

11. Rough est. of v1 =
1
S - where s = length of a side
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 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.

12. How do you find the nth term of a geometric sequence?
y-y1=m(x-x1)
1/2 h (b1 + b2)
1. Given event A: A + notA = 1.
T1 * r^(n-1)

13. Circumference of cirlce using diameter
Pi*d
2x2x2x5x5
Lwh
(n degrees/360) * (pi)r^2

14. How do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The formula is a + b + c = d where a - b - c are the dimensions of the figure and d is the diagonal.

15. Volume of pyramid
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.
Bh
1/3Bh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

16. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(x+y)
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.

17. x^-a =
1/x^a
x + 2xy + y
(n/2) * (t1+tn)
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.

18. What is the unfactored version of x-y ?
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
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.
2(pi)r(r+h)
(x+y)(x-y)

19. Circumference Formula
C =?d
A=?r2
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.
Lwh

20. Volume of sphere
Probability A * Probability B
4/3pir^3
2(lw+wh+lh)
Lw

21. Explain the special properties of zero.
Groups - teams - or committees.
(x+y)
b[vb-4ac]/2a
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.

22. The length of one side of any triangle is ____ than the sum of the other two sides.
1.7
T1 * r^(n-1)/(r-1)
A=bh
Less

23. The probability of an event happening and the probability of an event NOT happening must add up to what number?
The average - mean - median - or mode.
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.
1. Given event A: A + notA = 1.
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.

24. When you reverse FOIL - the term that needs to add out is the _____
Middle term
(y2-y1)/(x2-x1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
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'.

25. What is the area of a triangle?
1/2bh
(b1 +b2) x h [or (b1 +b2) x h2]
Between 0 and 1.
The four big angles are equal and the four small angles are equal

26. a - b is equal to
Pi*r^2
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.
Middle term
(a+b)(a-b)

27. a+b
(n degrees/360) * 2(pi)r
(a+b)(a-ab+b)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x -2xy + y

28. In a coordinate system - what is the origin?
(x1+x2)/2 - (y1+y2)/2
Less
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.
(0 -0)

29. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
?d OR 2?r
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.
(y-y1)=m(x-x1)

30. Arc
1/2 h (b1 + b2)
Part of a circle connecting two points on the circle.
2(pi)r
Number of desired outcomes/number of total outcomes

31. Area of a sector
x/360 times (?r) - where x is the degrees in the angle
x-y
Order does matter for a permutation - but does not matter for a combination.
(n-2)180

32. What is the area of a circle?
Negative
2l+2w
Equal
(pi)r^2

33. What is the side ratio for a Right Isosceles triangle?
Bh
The average - mean - median - or mode.
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

34. What is the side ratio for a 30:60:90 triangle?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ac+ad+bc+bd

35. How do you find the sum of a geometric sequence?
x/360 times (?r) - where x is the degrees in the angle
Sum of the lengths of the sides
T1 * r^(n-1)/(r-1)
N x M

36. What is the area of a solid rectangle?
(n/2) * (t1+tn)
x/360 times (?r) - where x is the degrees in the angle
2(lw+wh+lh)
Opens up

37. In intersecting lines - opposite angles are _____.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Opens down
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Equal

38. What is the formula for the diagonal of any square?
S*v2
Order does matter for a permutation - but does not matter for a combination.
A segment connecting the center of a circle to any point on the circle
N x M

39. List two odd behaviors of exponents
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
?r
2pi*r

40. perimeter of square
1
4s
Groups - teams - or committees.
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.

41. Explain the difference between a digit and a number.
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.
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
Negative
(b1 +b2) x h [or (b1 +b2) x h2]

42. How do you multiply and divide square roots?
y = kx
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
An ange whose vertex is the center of the circle

43. Area of Triangle
1/3Bh
1/2bh
Probability A * Probability B
S^2

44. Perimeter of a square
1/3Bh
4s (where s = length of a side)
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.
Sum of the lengths of the sides

45. What is the factored version of (x+y)(x-y) ?
y = kx
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(0 -0)
x-y

46. What is the area of a sector?
y = kx
(n degrees/360) * (pi)r^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.

47. a-b
y = kx
Probability A * Probability B
(a-b)(a+ab+b)
?r

48. What is the area of a cylinder?
(n/2) * (t1+tn)
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.
2(pi)r(r+h)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

49. Area of Square
S^2
T1 + (n-1)d
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.
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.

50. For a bell curve - what three terms might be used to describe the number in the middle?
4/3pir^3
The average - mean - median - or mode.
Last term
Part of a circle connecting two points on the circle.

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