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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. What is the sum of the inside angles of an n-sided polygon?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(n-2)180
2(pi)r
1/x^a

2. Volume of pyramid
1/3Bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x² + 2xy + y²
T1 * r^(n-1)/(r-1)

3. What is the volume of a cylinder?
(n-2)180
(a-b)(a²+ab+b²)
(pi)r^2(h)
y = kx

4. How do you find the midpoint?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x°/360 times (2 pi r) - where x is the degrees in the angle
(x1+x2)/2 - (y1+y2)/2
2(pi)r(r+h)

5. Chord
The distance from one point on the circle to another point on the circle.
Total distance/total time
1/2bh
2pir^2 + 2pir*h

6. If x² = 144 - does v144 = x?
(pi)r^2(h)
Not necessarily. This is a trick question - because x could be either positive or negative.
Middle term
Sqr( x2 -x1) + (y2- y1)

7. Area of a circle
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 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.
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.
?r²

8. What is the area of a triangle?
Bh
y = kx
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
1/2bh

9. What are the side ratios for a 30:60:90 triangle?
(a-b)(a²+ab+b²)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2l+2w
4s (where s = length of a side)

10. What is the volume of a solid rectangle?
(y-y1)=m(x-x1)
Lwh
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.
x² -2xy + y²

11. Surface Area of Sphere
4/3pir^3
Pir^2h
4pir^2
T1 + (n-1)d

12. What do combination problems usually ask for?
Groups - teams - or committees.
S^2
An ange whose vertex is the center of the circle
1/x^a

13. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
Opens up
Negative
T1 * r^(n-1)/(r-1)

14. In a parabola - if the first term is positive - the parabola ________.
Opens up
C =?d
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.
Middle term

15. What number goes on the bottom of a probability fraction?
Probability A * Probability B
A+b
2x2x2x5x5
The total # of possible outcomes.

16. What is the average speed?
Total distance/total time
1/3Bh
2(pi)r(r+h)
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.

17. Volume of Cylinder
Pir^2h
Groups - teams - or committees.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

18. 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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19. Sector
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 set of points which are all the same distance (the radius) from a certain point (the center).
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.
2x2x2x5x5

20. Point-Slope form
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.
y-y1=m(x-x1)
2l+2w
½(base x height) [or (base x height)÷2]

21. Circumference of cirlce using 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.
A²-b²
y-y1=m(x-x1)
Pi*d

22. Define 'proportionate' values
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

23. What is a '30:60:90' triangle?
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
Ac+ad+bc+bd
Groups - teams - or committees.
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

24. Volume of prism
1
Bh
2(pi)r
2Length + 2width [or (length + width) x 2]

25. a² - b² is equal to
(a+b)(a-b)
1.7
Lw
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.

26. Define a factorial of a number - and how it is written.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
2lw+2lh+2wh
Sum of the lengths of the sides

27. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
1/3Bh
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
Percentage Change = Difference/Original * 100
(x1+x2)/2 - (y1+y2)/2

28. Central Angle
(y2-y1)/(x2-x1)
Opens down
Not necessarily. This is a trick question - because x could be either positive or negative.
An ange whose vertex is the center of the circle

29. What is the length of an arc?
Less
(n degrees/360) * 2(pi)r
Arrangements - orders - schedules - or lists.
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.

30. a²-2ab+b²
Last term
T1 + (n-1)d
(a-b)²
1.4

31. What is the unfactored version of (x+y)² ?
Between 0 and 1.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
x² + 2xy + y²

32. Area of Trapezoid
1/2 h (b1 + b2)
x² -2xy + y²
S^2
4s (where s = length of a side)

33. The length of one side of any triangle is ____ than the sum of the other two sides.
The average - mean - median - or mode.
Less
y = k/x
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

34. What is the circumference of a circle?
2 pi r
?d OR 2?r
2(pi)r
Arrangements - orders - schedules - or lists.

35. What is the area of a solid rectangle?
2pi*r
2(lw+wh+lh)
(pi)r^2
2(pi)r(r+h)

36. Area of Circle
Pi*r^2
An ange whose vertex is the center of the circle
(a-b)(a+b)
Arrangements - orders - schedules - or lists.

37. The probability of an event happening and the probability of an event NOT happening must add up to what number?
(n degrees/360) * 2(pi)r
1. Given event A: A + notA = 1.
1/3Bh
Number of desired outcomes/number of total outcomes

38. Area of Rectangle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Lw
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.

39. Rough est. of v2 =
?d OR 2?r
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.
(n/2) * (t1+tn)
1.4

40. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Not necessarily. This is a trick question - because x could be either positive or negative.
?d OR 2?r
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.

41. Rough est. of v1 =
Percentage Change = Difference/Original * 100
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.
(pi)r^2
1

42. Lines reflected over the x or y axis have ____ slopes.
Negative
(n degrees/360) * 2(pi)r
Sum of terms/number of terms
Pir^2h

43. Area of Triangle
Lw
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A=?r2
1/2bh

44. If something is certain to happen - how is the probability of this event expressed mathematically?
Number of desired outcomes/number of total outcomes
1/1
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
2pir^2 + 2pir*h

45. Circumference of a circle
Less
?d OR 2?r
1.4
4/3pir^3

46. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
2pir^2 + 2pir*h
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
4/3pir^3

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

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48. How do you find the sum of a geometric sequence?
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.
T1 * r^(n-1)/(r-1)
The average - mean - median - or mode.
y = k/x

49. Area of a trapezoid
?d OR 2?r
The distance from one point on the circle to another point on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1.4

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

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