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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 trapezoid
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1
An ange whose vertex is the center of the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]

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

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3. What number goes on the bottom of a probability fraction?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
C =?d
The total # of possible outcomes.
S*v2

4. Area of a triangle
½(base x height) [or (base x height)÷2]
(pi)r^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The average - mean - median - or mode.

5. In a parabola - if the first term is negative - the parabola ________.
Probability A * Probability 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.
Opens down
The distance across the circle through the center of the circle.The diameter is twice the radius.

6. 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 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.
(y2-y1)/(x2-x1)
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.

7. What do combination problems usually ask for?
Pi*r^2
S^2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Groups - teams - or committees.

8. When you reverse FOIL - the term that needs to add out is the _____
y2-y1/x2-x1
(n-2)180
Middle term
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.

9. Area of a 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.
x°/360 times (?r²) - where x is the degrees in the angle
Sum of the lengths of the sides
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

10. Perimeter of polygon
?r²
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.
Sum of the lengths of the sides
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

11. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
?d OR 2?r
x°/360 times (?r²) - where x is the degrees in the angle
x²-y²

12. What is the surface area of a cylinder?
(y2-y1)/(x2-x1)
2(pi)r(r+h)
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'.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

13. What is the equation of a line?

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14. (a+b)(c+d)
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.
Pi*r^2
Ac+ad+bc+bd
2lw+2lh+2wh

15. a² - b² is equal to
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a+b)(a-b)
4s
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

16. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
y2-y1/x2-x1
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.
(x-y)²
N x M

17. What is inversely proportional?
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2(pi)r(r+h)
y = k/x

18. Area of Rectangle
Lw
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.
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.
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 is the 'Third side' rule for triangles?
Bh
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.
y = kx

20. What is the point-slope form?
N x M
(y-y1)=m(x-x1)
1/x^a
½(b1 +b2) x h [or (b1 +b2) x h÷2]

21. Lines reflected over the x or y axis have ____ slopes.
(0 -0)
Negative
Lwh
1/2 h (b1 + b2)

22. How do you multiply powers with the same base?
S*v2
x² -2xy + y²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

23. Area of 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.
The total # of possible outcomes.
Pi*r^2
Pir^2h

24. For a bell curve - what three terms might be used to describe the number in the middle?
?r²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The average - mean - median - or mode.
T1 * r^(n-1)/(r-1)

25. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)²
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.

26. Diameter
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 distance across the circle through the center of the circle.The diameter is twice the radius.
Sum of terms/number of terms
1. Given event A: A + notA = 1.

27. What is the formula for the diagonal of any square?
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.
y-y1=m(x-x1)
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.
S*v2

28. What is the area of a solid rectangle?
1
2(lw+wh+lh)
Equal
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.

29. Radius (Radii)
Middle term
Probability A * Probability B
?d OR 2?r
A segment connecting the center of a circle to any point on the circle

30. How do you calculate the surface area of a rectangular box?
Total distance/total time
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.
(y2-y1)/(x2-x1)
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.

31. What is the probability?
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.
Bh
Number of desired outcomes/number of total outcomes

32. What is the circumference of a circle?
The distance from one point on the circle to another point on the circle.
Number of desired outcomes/number of total outcomes
2(pi)r
(a-b)(a+b)

33. Circumference of cirlce using diameter
Pi*d
Last term
x²-y²
Sum of the lengths of the sides

34. When you reverse FOIL - the term that needs to multiply out is the _____
(y-y1)=m(x-x1)
Part of a circle connecting two points on the circle.
(pi)r^2(h)
Last term

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

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36. In a coordinate system - identify the quadrants and describe their location.
2(pi)r(r+h)
(a+b)(a²-ab+b²)
?r²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

37. Area of Parallelogram
Pi*r^2
Between 0 and 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.
Bh

38. Rough est. of v2 =
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.4
T1 * r^(n-1)/(r-1)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

39. How do you find the midpoint?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x1+x2)/2 - (y1+y2)/2
Middle term
Negative

40. Rough est. of v3 =
1.7
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.
Arrangements - orders - schedules - or lists.
Order does matter for a permutation - but does not matter for a combination.

41. What is a '30:60:90' triangle?
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.
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.
2x2x2x5x5

42. What is the average speed?
Total distance/total time
2 pi r
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x°/360 times (2 pi r) - where x is the degrees in the angle

43. How do you solve a permutation?
Ac+ad+bc+bd
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. 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.
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

44. How do you find the nth term of a geometric sequence?
(a-b)(a+b)
(n degrees/360) * 2(pi)r
A²-b²
T1 * r^(n-1)

45. 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.
Bh
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.
1. Given event A: A + notA = 1.

46. Define the mode of a set of numbers.
Bh
b±[vb²-4ac]/2a
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.
A²-b²

47. length of a sector
2lw+2lh+2wh
½(base x height) [or (base x height)÷2]
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x°/360 times (2 pi r) - where x is the degrees in the angle

48. a³-b³
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)
Total distance/total time
Bh

49. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
Probability A * Probability B
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 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.

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

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