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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. Area of rectangle - square - parallelogram
x²-y²
A=bh
(x+y)(x-y)
The four big angles are equal and the four small angles are equal

2. Explain the special properties of zero.
1.7
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.
½(base x height) [or (base x height)÷2]
Total distance/total time

3. What do permutation problems often ask for?
(a-b)²
Ac+ad+bc+bd
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.
Arrangements - orders - schedules - or lists.

4. 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.
Equal
y-y1=m(x-x1)
Pir^2h

5. What is the surface area of a cylinder?
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.
2(pi)r(r+h)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

6. What is the equation of a line?

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7. For a bell curve - what three terms might be used to describe the number in the middle?
Bh
x²-y²
The average - mean - median - or mode.
y = kx

8. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
Opens up
Bh
4s
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.

9. a³-b³
1/2bh
(a-b)(a²+ab+b²)
Lwh
(a+b)(a²-ab+b²)

10. How do you find the sum of a geometric sequence?
(a+b)(a²-ab+b²)
(y-y1)=m(x-x1)
1/2bh
T1 * r^(n-1)/(r-1)

11. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
?r²

12. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
The distance across the circle through the center of the circle.The diameter is twice the radius.
2lw+2lh+2wh
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.

13. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Part of a circle connecting two points on the circle.
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.
Less

14. 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
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.
x² + 2xy + y²
Middle term

15. Circumference Formula
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
C =?d

16. How do you find the nth term of a geometric sequence?
The set of points which are all the same distance (the radius) from a certain point (the center).
A=?r2
T1 * r^(n-1)
?d OR 2?r

17. Perimeter of rectangle
4/3pir^3
(x1+x2)/2 - (y1+y2)/2
2l+2w
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.

18. Circumference of cirlce using diameter
Less
S^2
The four big angles are equal and the four small angles are equal
Pi*d

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

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20. In a coordinate system - what is the origin?
Arrangements - orders - schedules - or lists.
(0 -0)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
x²-y²

21. What is directly proportional?
y = kx
The average - mean - median - or mode.
T1 + (n-1)d
(a+b)(a-b)

22. What is the area of a triangle?
1/x^a
1/2bh
4/3pir^3
N x M

23. Area of Square
(pi)r^2(h)
S^2
1/2 h (b1 + b2)
Negative

24. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Probability A * Probability B
1/1
Pi*r^2

25. How do you calculate a diagonal inside a 3-dimensional rectangular box?
x°/360 times (?r²) - where x is the degrees in the angle
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
b±[vb²-4ac]/2a
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

26. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(pi)r^2(h)
Percentage Change = Difference/Original * 100
Probability A + Probability B
Arrangements - orders - schedules - or lists.

27. What number goes on the bottom of a probability fraction?
y = k/x
The total # of possible outcomes.
Bh
(n-2)180

28. What is the area of a solid rectangle?
2(lw+wh+lh)
S² - where s = length of a side
Pi*r^2
Bh

29. How do you solve a permutation?
1.7
(pi)r^2
(pi)r^2(h)
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

30. Volume of pyramid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Pi*d
1/3Bh
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.

31. Diameter
1/2bh
4s (where s = length of a side)
(n/2) * (t1+tn)
The distance across the circle through the center of the circle.The diameter is twice the radius.

32. Area of Rectangle
Lw
2(lw+wh+lh)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Between 0 and 1.

33. Define a factorial of a number - and how it is written.
The four big angles are equal and the four small angles are equal
2 pi r
1/2bh
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.

34. 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.
4s
?d OR 2?r
An ange whose vertex is the center of the circle

35. Area of a sector
Equal
(a-b)(a²+ab+b²)
1/2bh
x°/360 times (?r²) - where x is the degrees in the angle

36. What is the area of a circle?
y-y1=m(x-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.
(pi)r^2
Lwh

37. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A²-b²
N x M
4s

38. Perimeter of a square
4s (where s = length of a side)
Probability A * Probability B
Total distance/total time
Ac+ad+bc+bd

39. What is the circumference 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.
A+b
2(pi)r
4s

40. What do combination problems usually ask for?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Groups - teams - or committees.
T1 + (n-1)d
C =?d

41. a²-b²
(a-b)(a+b)
Pir^2h
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.
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.

42. Volume of Cylinder
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
N x M
Pir^2h
y = k/x

43. Volume of Cone
1/3pir^2*h
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.
A=bh
2(pi)r(r+h)

44. Quadratic Formula
(a-b)(a²+ab+b²)
1/3pir^2*h
b±[vb²-4ac]/2a
2lw+2lh+2wh

45. What is the unfactored version of x²-y² ?
Sqr( x2 -x1) + (y2- y1)
The set of points which are all the same distance (the radius) from a certain point (the center).
A=?r2
(x+y)(x-y)

46. Rough est. of v1 =
1
2Length + 2width [or (length + width) x 2]
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
The four big angles are equal and the four small angles are equal

47. Circle
(a+b)(a-b)
Less
The set of points which are all the same distance (the radius) from a certain point (the center).
y = kx

48. Perimeter of polygon
Sum of the lengths of the sides
The distance across the circle through the center of the circle.The diameter is twice the radius.
(pi)r^2(h)
y = k/x

49. The length of one side of any triangle is ____ than the sum of the other two sides.
y2-y1/x2-x1
(x-y)²
Groups - teams - or committees.
Less

50. How do you calculate the probability of two events in a row? (Probability of A and B)
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.
Probability A * Probability B
2(pi)r(r+h)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

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GRE Math 2

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