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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 Circles
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A=?r2
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.
1/1

2. Area of Circle
Arrangements - orders - schedules - or lists.
A=bh
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.
Pi*r^2

3. Arc
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 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.
Part of a circle connecting two points on the circle.

4. What are the side ratios for a 30:60:90 triangle?
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=?r2
The four big angles are equal and the four small angles are equal
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

5. 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.
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
1. Given event A: A + notA = 1.
Lwh

6. Area of a triangle
Ac+ad+bc+bd
½(base x height) [or (base x height)÷2]
Less
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

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8. Explain the special properties of zero.
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.
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
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.

9. Volume of pyramid
2lw+2lh+2wh
Pir^2h
4s
1/3Bh

10. Circumference of cirlce using diameter
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.
2pir^2 + 2pir*h
Pi*d
2(pi)r(r+h)

11. Area of a trapezoid
Probability A + Probability B
x°/360 times (2 pi r) - where x is the degrees in the angle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Between 0 and 1.

12. Area of Triangle
The distance from one point on the circle to another point on the circle.
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.
1/2bh
(x-y)²

13. In a parabola - if the first term is positive - the parabola ________.
Arrangements - orders - schedules - or lists.
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.
Opens up
1. Given event A: A + notA = 1.

14. Area of a sector
(y-y1)=m(x-x1)
x°/360 times (?r²) - where x is the degrees in the angle
2(pi)r(r+h)
The distance across the circle through the center of the circle.The diameter is twice the radius.

15. What is the formula for the diagonal of any square?
(x+y)²
A²-b²
The set of points which are all the same distance (the radius) from a certain point (the center).
S*v2

16. Define the range of a set of numbers.
2pi*r
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.
2pir^2 + 2pir*h
Not necessarily. This is a trick question - because x could be either positive or negative.

17. What number goes on the bottom of a probability fraction?
Less
The total # of possible outcomes.
(pi)r^2(h)
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.

18. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
(a+b)²
Number of desired outcomes/number of total outcomes
Opens down

19. What is an 'equilateral' triangle?
(x+y)(x-y)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
C =?d
(pi)r^2

20. Circumference of a circle
?d OR 2?r
1/2bh
Between 0 and 1.
2(pi)r(r+h)

21. length of a sector
Arrangements - orders - schedules - or lists.
x°/360 times (2 pi r) - where x is the degrees in the angle
2lw+2lh+2wh
b±[vb²-4ac]/2a

22. What is the volume of a cylinder?
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.
2pi*r
(pi)r^2(h)
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.

23. Area of Rectangle
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.
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
Sqr( x2 -x1) + (y2- y1)
Lw

24. Perimeter (circumference) of a circle
Total distance/total time
4s (where s = length of a side)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2 pi r

25. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
S*v2
Probability A + Probability B
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.
Arrangements - orders - schedules - or lists.

26. Point-Slope form
Equal
1.7
y-y1=m(x-x1)
Groups - teams - or committees.

27. Define the formula for calculating slope.
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.
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.
(x1+x2)/2 - (y1+y2)/2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

28. Volume of prism
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.
Pir^2h
Bh
4s (where s = length of a side)

29. Define a factorial of a number - and how it is written.
2l+2w
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The total # of possible outcomes.

30. x^a * x^b = x^__
(a-b)(a²+ab+b²)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(pi)r^2
A+b

31. The length of one side of any triangle is ____ than the sum of the other two sides.
The set of points which are all the same distance (the radius) from a certain point (the center).
(x+y)(x-y)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Less

32. Rough est. of v3 =
1.7
y = kx
C =?d
A=bh

33. How do you find the sum of a geometric sequence?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
T1 * r^(n-1)/(r-1)
A segment connecting the center of a circle to any point on the circle
Arrangements - orders - schedules - or lists.

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

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

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36. a³-b³
Equal
(a-b)(a²+ab+b²)
2lw+2lh+2wh
Opens down

37. Perimeter of polygon
The four big angles are equal and the four small angles are equal
Sum of the lengths of the sides
1/3pir^2*h
4/3pir^3

38. Area of Square
x² + 2xy + y²
b±[vb²-4ac]/2a
Percentage Change = Difference/Original * 100
S^2

39. Perimeter of rectangle
2l+2w
4s
The total # of possible outcomes.
Part of a circle connecting two points on the circle.

40. x^-a =
The four big angles are equal and the four small angles are equal
(a+b)²
1/x^a
Sqr( x2 -x1) + (y2- y1)

41. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
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'.
?r²
x²-y²

42. What is the area of a circle?
(pi)r^2
Total distance/total time
y2-y1/x2-x1
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.

43. What'S the most important thing to remember about charts you'll see on the GRE?
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.
Bh
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.
x² -2xy + y²

44. 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
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.
Opens up
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

45. When a line crosses two parallel lines - ________.
Pi*d
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The four big angles are equal and the four small angles are equal
1.4

46. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
4/3pir^3
N x M
The distance across the circle through the center of the circle.The diameter is twice the radius.
Less

47. What is the average?
Last term
Opens down
Sum of terms/number of terms
Lwh

48. Central Angle
Pi*r^2
Pi*d
y = k/x
An ange whose vertex is the center of the circle

49. (a+b)(c+d)
The set of points which are all the same distance (the radius) from a certain point (the center).
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Between 0 and 1.
Ac+ad+bc+bd

50. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
The average - mean - median - or mode.
(x+y)²
Lw