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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. x^a * x^b = x^__
(a+b)(a-b)
4/3pir^3
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.
A+b

2. Area of Circles
A=?r2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).

3. 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.
Order does matter for a permutation - but does not matter for a combination.
1.7
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.

4. What is the probability?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
A²-b²
Number of desired outcomes/number of total outcomes

5. Area of a triangle
½(base x height) [or (base x height)÷2]
An ange whose vertex is the center of the circle
Opens up
(n degrees/360) * (pi)r^2

6. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
N x M
1.4
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

7. How do you calculate the probability of two events in a row? (Probability of A and B)
½(base x height) [or (base x height)÷2]
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.
Probability A * Probability B
1.4

8. How do you find the sum of an arithmetic sequence?
(x1+x2)/2 - (y1+y2)/2
4pir^2
N x M
(n/2) * (t1+tn)

9. Define 'proportionate' values
T1 * r^(n-1)/(r-1)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a-b)(a²+ab+b²)
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'.

10. When you reverse FOIL - the term that needs to multiply out is the _____
4s (where s = length of a side)
Last term
S*v2
(x1+x2)/2 - (y1+y2)/2

11. How do you calculate a diagonal inside a 3-dimensional rectangular box?
1/2bh
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.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Probability A * Probability B

12. What is the average?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Sum of terms/number of terms
(y2-y1)/(x2-x1)
S^2

13. What is the area of a circle?
(pi)r^2
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.
2pir^2 + 2pir*h
Last term

14. Area of rectangle - square - parallelogram
A=bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2x2x2x5x5
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.

15. To divide powers with the same base...
(a+b)²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
T1 * r^(n-1)/(r-1)
C =?d

16. What do combination problems usually ask for?
Groups - teams - or committees.
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.
C =?d

17. What is the area of a triangle?
1/2bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Number of desired outcomes/number of total outcomes
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

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

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19. Rough est. of v3 =
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Sum of terms/number of terms
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.
1.7

20. perimeter of square
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.
4s
Less
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

21. Perimeter of a square
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.
4s (where s = length of a side)
1/2bh
x² -2xy + y²

22. If x² = 144 - does v144 = x?
2pir^2 + 2pir*h
Sqr( x2 -x1) + (y2- y1)
Not necessarily. This is a trick question - because x could be either positive or negative.
(y-y1)=m(x-x1)

23. Area of Rectangle
Lw
S^2
1/2bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]

24. Surface Area of Sphere
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
(n degrees/360) * 2(pi)r
4pir^2

25. Define a factorial of a number - and how it is written.
x²-y²
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.
2pi*r
4pir^2

26. What is the sum of the inside angles of an n-sided polygon?
(y2-y1)/(x2-x1)
C =?d
Probability A * Probability B
(n-2)180

27. What is inversely proportional?
(x-y)²
Middle term
4s (where s = length of a side)
y = k/x

28. Circumference Formula
1.4
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
C =?d
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.

29. Slope
2pir^2 + 2pir*h
(y2-y1)/(x2-x1)
A=?r2
(0 -0)

30. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
(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.
(a-b)(a+b)

31. a²+2ab+b²
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.
A segment connecting the center of a circle to any point on the circle
(a+b)²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

32. What is the volume of a solid rectangle?
y = kx
Lwh
(a+b)(a-b)
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.

33. Define the formula for calculating slope.
Pir^2h
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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
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.

34. What is the prime factorization of 200?
2(pi)r(r+h)
Pir^2h
1. Given event A: A + notA = 1.
2x2x2x5x5

35. Area of Circle
S*v2
1.7
Pi*r^2
2l+2w

36. How do you multiply powers with the same base?
(a+b)(a²-ab+b²)
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Middle term

37. Perimeter (circumference) of a circle
Percentage Change = Difference/Original * 100
Arrangements - orders - schedules - or lists.
(0 -0)
2 pi r

38. Sector
(n degrees/360) * (pi)r^2
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Less

39. What is directly proportional?
y = kx
Bh
(x+y)(x-y)
1

40. Area of Trapezoid
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
Sum of the lengths of the sides
An ange whose vertex is the center of the circle
1/2 h (b1 + b2)

41. Central Angle
Order does matter for a permutation - but does not matter for a combination.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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 ange whose vertex is the center of the circle

42. Volume of prism
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.
An ange whose vertex is the center of the circle
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.
Bh

43. For a bell curve - what three terms might be used to describe the number in the middle?
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 average - mean - median - or mode.
Opens up
4s

44. What is the factored version of x² + 2xy + y² ?
x² + 2xy + y²
(a-b)(a+b)
1.4
(x+y)²

45. What is the volume of a cylinder?
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.
1. Given event A: A + notA = 1.
(n/2) * (t1+tn)
(pi)r^2(h)

46. In a coordinate system - what is the origin?
S^2
1/2bh
(0 -0)
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.

47. What is the factored version of x² -2xy + y² ?
T1 * r^(n-1)/(r-1)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(x-y)²
Order does matter for a permutation - but does not matter for a combination.

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

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49. 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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Sum of the lengths of the sides
2(lw+wh+lh)

50. Chord
(n-2)180
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 distance from one point on the circle to another point on the circle.
S^2