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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.
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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. In a parabola - if the first term is positive - the parabola ________.
y = kx
Percentage Change = Difference/Original * 100
Opens up
Last term

2. x^a * x^b = x^__
The four big angles are equal and the four small angles are equal
y = kx
T1 * r^(n-1)
A+b

3. Quadratic Formula
b[vb-4ac]/2a
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
(a+b)(a-ab+b)

4. What is the area of a solid rectangle?
(a+b)
2(lw+wh+lh)
Between 0 and 1.
A=bh

5. To divide powers with the same base...
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
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
4s

6. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
x/360 times (?r) - where x is the degrees in the angle
(n/2) * (t1+tn)

7. What must be true before a quadratic equation can be solved?
Probability A * Probability B
(n degrees/360) * 2(pi)r
(x1+x2)/2 - (y1+y2)/2
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.

8. (a+b)(a-b)=
A-b
Opens down
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.

9. Rough est. of v3 =
(n/2) * (t1+tn)
Sum of the lengths of the sides
1.7
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.

10. a - b is equal to
y-y1=m(x-x1)
(a+b)(a-b)
x + 2xy + y
Bh

11. Area of Triangle
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.
T1 * r^(n-1)
(base x height) [or (base x height)2]
1/2bh

12. What is the point-slope form?
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.
(a-b)(a+b)
?r
(y-y1)=m(x-x1)

13. 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.
(x+y)(x-y)
1.4
y = k/x

14. What number goes on the bottom of a probability fraction?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The total # of possible outcomes.
Number of desired outcomes/number of total outcomes
2pir^2 + 2pir*h

15. Central Angle
y-y1=m(x-x1)
1.4
(y2-y1)/(x2-x1)
An ange whose vertex is the center of the circle

16. What is the area of a cylinder?
(a+b)(a-b)
2(pi)r(r+h)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
A+b

17. The length of one side of any triangle is ____ than the sum of the other two sides.
Arrangements - orders - schedules - or lists.
Less
The average - mean - median - or mode.
(y-y1)=m(x-x1)

18. Sector
y = kx
Ac+ad+bc+bd
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.
(n/2) * (t1+tn)

19. Area of Circle
S^2
Pi*r^2
2(pi)r
4pir^2

20. Circumference of cirlce using diameter
Percentage Change = Difference/Original * 100
Pi*d
(a-b)(a+ab+b)
1

21. Lines reflected over the x or y axis have ____ slopes.
Bh
2lw+2lh+2wh
Negative
The distance from one point on the circle to another point on the circle.

22. What is a 'Right isosceles' triangle?
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.
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.
S*v2
x + 2xy + y

23. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
(n degrees/360) * 2(pi)r
T1 * r^(n-1)/(r-1)
Total distance/total time

24. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
(a+b)(a-ab+b)
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. 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.

25. What is the prime factorization of 200?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2(pi)r(r+h)
2x2x2x5x5
4s

26. How do you find the nth term of a geometric sequence?
(a+b)(a-ab+b)
Number of desired outcomes/number of total outcomes
T1 * r^(n-1)
Probability A + Probability B

27. How do you solve a permutation?
y2-y1/x2-x1
S^2
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
1/x^a

28. Volume of Cylinder
Pir^2h
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
Part of a circle connecting two points on the circle.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

29. Rough est. of v1 =
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
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.
1
Groups - teams - or committees.

30. Area of Circles
T1 + (n-1)d
A=?r2
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.
y-y1=m(x-x1)

31. If x = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
y = k/x
?r
Equal

32. Area of Parallelogram
A-b
Bh
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.
2pir^2 + 2pir*h

33. In intersecting lines - opposite angles are _____.
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.
Equal
1/x^a
A=bh

34. a-b
x + 2xy + y
(a-b)(a+b)
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 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.

35. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
(x+y)(x-y)
Sum of the lengths of the sides
Middle term

36. What is the average speed?
Opens down
Total distance/total time
(n degrees/360) * 2(pi)r
Pir^2h

37. In a coordinate system - identify the quadrants and describe their location.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2pir^2 + 2pir*h
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

38. What is the equation of a line?
Sqr( x2 -x1) + (y2- y1)
Ac+ad+bc+bd
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'.
2(pi)r(r+h)

39. perimeter of square
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.
4s
2(pi)r(r+h)
Bh

40. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
x -2xy + y
(y-y1)=m(x-x1)
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
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

41. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1.7
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.
Sum of terms/number of terms
y-y1=m(x-x1)

42. What is the side ratio for a 30:60:90 triangle?
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.
4/3pir^3
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.

43. a-2ab+b
(a-b)
2(pi)r
Bh
Probability A * Probability B

44. How do you multiply and divide square roots?
1/2 h (b1 + b2)
x/360 times (?r) - where x is the degrees in the angle
S^2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

45. Radius (Radii)
(x-y)
(base x height) [or (base x height)2]
A segment connecting the center of a circle to any point on the circle
y2-y1/x2-x1

46. Rough est. of v2 =
The formula is a + b + c = d where a - b - c are the dimensions of the figure and d is the diagonal.
Not necessarily. This is a trick question - because x could be either positive or negative.
1.4
(x1+x2)/2 - (y1+y2)/2

47. Area of Trapezoid
An ange whose vertex is the center of the circle
1/2 h (b1 + b2)
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
A segment connecting the center of a circle to any point on the circle

48. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1/2bh
Between 0 and 1.
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.
Ac+ad+bc+bd

49. Area of Square
Arrangements - orders - schedules - or lists.
Equal
S^2
Lwh

50. What is the area of a circle?
(pi)r^2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
x/360 times (?r) - where x is the degrees in the angle
y = k/x

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