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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. What is the sum of the inside angles of an n-sided polygon?
y = kx
(n-2)180
1/1
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.

2. length of a sector
(y2-y1)/(x2-x1)
C =?d
x°/360 times (2 pi r) - where x is the degrees in the angle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

3. Area of Rectangle
Lw
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.
2lw+2lh+2wh
x² + 2xy + y²

4. What is the circumference of a circle?
Ac+ad+bc+bd
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
2(pi)r
Pir^2h

5. Perimeter (circumference) of a circle
2pir^2 + 2pir*h
2 pi r
2(pi)r(r+h)
Probability A * Probability B

6. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2pir^2 + 2pir*h
2(pi)r

7. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
x°/360 times (2 pi r) - where x is the degrees in the angle
Number of desired outcomes/number of total outcomes
2(pi)r(r+h)

8. Circumference of cirlce using diameter
Pi*d
Sum of the lengths of the sides
(n/2) * (t1+tn)
(n-2)180

9. (a+b)(c+d)
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(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.
(a-b)(a+b)
Ac+ad+bc+bd

10. Rough est. of v1 =
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1
Groups - teams - or committees.
S² - where s = length of a side

11. What is the side ratio for a Right Isosceles triangle?
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.
S*v2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

12. What is the distance formula?
(pi)r^2
Arrangements - orders - schedules - or lists.
C =?d
Sqr( x2 -x1) + (y2- y1)

13. In a coordinate system - what is the origin?
?d OR 2?r
(0 -0)
Number of desired outcomes/number of total outcomes
A+b

14. Area of a square
S² - where s = length of a side
1/3pir^2*h
(x+y)²
Opens down

15. perimeter of square
y2-y1/x2-x1
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.
4s
2pir^2 + 2pir*h

16. What do combination problems usually ask for?
(a-b)(a+b)
Not necessarily. This is a trick question - because x could be either positive or negative.
Groups - teams - or committees.
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.

17. Lines reflected over the x or y axis have ____ slopes.
S² - where s = length of a side
Not necessarily. This is a trick question - because x could be either positive or negative.
Negative
1/x^a

18. How do you find the sum of an arithmetic sequence?
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.
S² - where s = length of a side
y-y1=m(x-x1)
(n/2) * (t1+tn)

19. Diameter
2Length + 2width [or (length + width) x 2]
Lwh
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

20. Area of Trapezoid
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/2 h (b1 + b2)
2(pi)r
2pi*r

21. What is the formula for the diagonal of any square?
(x-y)²
A segment connecting the center of a circle to any point on the circle
S*v2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

22. Sector
2Length + 2width [or (length + width) x 2]
A=?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.
1/2 h (b1 + b2)

23. Explain the special properties of zero.
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.
1/2bh
The set of points which are all the same distance (the radius) from a certain point (the center).
(a+b)²

24. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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25. Perimeter of a square
4s (where s = length of a side)
Lw
Negative
2(pi)r

26. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
2(pi)r(r+h)
Sum of terms/number of terms
1/x^a

27. What is the factored version of x² -2xy + y² ?
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
(x-y)²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1.7

28. When a line crosses two parallel lines - ________.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The four big angles are equal and the four small angles are equal
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.
2l+2w

29. 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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30. Perimeter of rectangle
N x M
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
2(pi)r(r+h)
2l+2w

31. What is an 'equilateral' triangle?
1.7
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2Length + 2width [or (length + width) x 2]
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

32. 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)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
Groups - teams - or committees.
Lwh
Bh

33. What is directly proportional?
N x M
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.
2(pi)r(r+h)
y = kx

34. Define the mode of a set of numbers.
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.
Probability A * Probability B
(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. 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.

35. Volume of Cone
1
4s (where s = length of a side)
1. Given event A: A + notA = 1.
1/3pir^2*h

36. What do permutation problems often ask for?
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.
x²-y²
Arrangements - orders - schedules - or lists.
½(base x height) [or (base x height)÷2]

37. Surface Area of Sphere
(x+y)²
(a+b)(a-b)
4pir^2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

38. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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39. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
2(lw+wh+lh)
(a+b)²
y = kx

40. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
A+b
4/3pir^3
Percentage Change = Difference/Original * 100

41. Perimeter of polygon
Sum of the lengths of the sides
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.
C =?d
(a+b)(a-b)

42. If something is certain to happen - how is the probability of this event expressed mathematically?
Probability A * Probability B
A²-b²
1/1
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.

43. How do you find the sum of a geometric sequence?
Lwh
T1 * r^(n-1)/(r-1)
(a-b)(a²+ab+b²)
?d OR 2?r

44. 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.
T1 + (n-1)d
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.

45. Quadratic Formula
Sqr( x2 -x1) + (y2- y1)
4s
(y2-y1)/(x2-x1)
b±[vb²-4ac]/2a

46. Slope
(y2-y1)/(x2-x1)
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
Number of desired outcomes/number of total outcomes
S^2

47. What is the point-slope form?
(y-y1)=m(x-x1)
Opens down
2pi*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.

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

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49. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
1/3pir^2*h
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.
2pi*r

50. 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).
(x-y)²
x² + 2xy + y²
(y2-y1)/(x2-x1)

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GRE Math 2

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