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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. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
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.
Pi*d
(a+b)(a-b)

2. Rough est. of v2 =
x²-y²
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/x^a
1.4

3. a³-b³
A+b
(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.
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.

4. 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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5. Volume of Cylinder
Sum of terms/number of terms
1/2 h (b1 + b2)
Pir^2h
Lw

6. What is the volume of a cylinder?
(pi)r^2(h)
1/3pir^2*h
1/3Bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

7. Area of a trapezoid
1/x^a
Ac+ad+bc+bd
(a+b)(a²-ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

8. To divide powers with the same base...
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x°/360 times (?r²) - where x is the degrees in the angle

9. In a coordinate system - what is the origin?
Number of desired outcomes/number of total outcomes
T1 * r^(n-1)
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
(0 -0)

10. perimeter of square
4s
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.
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.
S*v2

11. What is the factored version of x² -2xy + y² ?
(x-y)²
y2-y1/x2-x1
1/x^a
Pir^2h

12. Area of a sector
2(lw+wh+lh)
x°/360 times (?r²) - where x is the degrees in the angle
Less
T1 * r^(n-1)

13. Area of a triangle
2pir^2 + 2pir*h
½(base x height) [or (base x height)÷2]
(0 -0)
y-y1=m(x-x1)

14. Define the formula for calculating slope.
(x-y)²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1.4
(y2-y1)/(x2-x1)

15. What is the average?
1/1
Part of a circle connecting two points on the circle.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Sum of terms/number of terms

16. Central Angle
2pir^2 + 2pir*h
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
An ange whose vertex is the center of the circle
A=?r2

17. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
The four big angles are equal and the four small angles are equal
4s
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.

18. 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.
1.7
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

19. Area of a square
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.
Groups - teams - or committees.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
S² - where s = length of a side

20. Circle
(x+y)²
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.
Bh
The set of points which are all the same distance (the radius) from a certain point (the center).

21. In a parabola - if the first term is negative - the parabola ________.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
4/3pir^3
Opens down
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.

22. What is the point-slope form?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(y-y1)=m(x-x1)
Sum of the lengths of the sides
x² -2xy + y²

23. How do you find the nth term of an arithmetic sequence?
(a-b)(a+b)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Probability A + Probability B
T1 + (n-1)d

24. a² - b² is equal to
(a+b)(a-b)
4pir^2
1. Given event A: A + notA = 1.
2lw+2lh+2wh

25. Lines reflected over the x or y axis have ____ slopes.
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.
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.
Negative
The distance from one point on the circle to another point on the circle.

26. 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.
T1 + (n-1)d
S*v2
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.

27. What is the unfactored version of (x-y)² ?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2l+2w
x² -2xy + y²
Ac+ad+bc+bd

28. Define the mode of a set of numbers.
(a+b)²
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.
Less
A+b

29. How do you solve a permutation?
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. 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
Percentage Change = Difference/Original * 100
(a-b)(a+b)

30. What is the prime factorization of 200?
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.
2x2x2x5x5
?r²
A²-b²

31. Circumference of cirlce using diameter
Pi*d
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.
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'.
2l+2w

32. Area of a circle
The total # of possible outcomes.
Percentage Change = Difference/Original * 100
?r²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

33. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
y = kx
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
4pir^2

34. Area of Circle
The average - mean - median - or mode.
S*v2
Pi*r^2
b±[vb²-4ac]/2a

35. What is the unfactored version of (x+y)² ?
4/3pir^3
(x-y)²
x² + 2xy + y²
(a+b)(a²-ab+b²)

36. What is a 'Right isosceles' triangle?
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.
T1 * r^(n-1)
2 pi r
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.

37. What is the factored version of (x+y)(x-y) ?
1.4
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.
x²-y²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

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

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39. Circumference of a circle
?d OR 2?r
The distance across the circle through the center of the circle.The diameter is twice the radius.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A²-b²

40. a²+2ab+b²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(a+b)²
1.4
Lw

41. 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.
2Length + 2width [or (length + width) x 2]
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

42. What is the side ratio for a Right Isosceles triangle?
Pir^2h
(a-b)(a+b)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Last term

43. How do you find the nth term of a geometric sequence?
1/2bh
T1 * r^(n-1)
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.
1/x^a

44. What is the circumference of a circle?
Arrangements - orders - schedules - or lists.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
2(pi)r

45. Rough est. of v3 =
T1 * r^(n-1)/(r-1)
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.
1.7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

46. Quadratic Formula
b±[vb²-4ac]/2a
S² - where s = length of a side
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.
(n-2)180

47. What is inversely proportional?
A=?r2
y = k/x
Bh
2(pi)r(r+h)

48. (a+b)(c+d)
The distance from one point on the circle to another point on the circle.
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
(n degrees/360) * 2(pi)r
Ac+ad+bc+bd

49. How do you calculate the probability of two events in a row? (Probability of A and B)
Opens up
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
b±[vb²-4ac]/2a
Probability A * Probability B

50. What is the unfactored version of x²-y² ?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(x+y)(x-y)
The set of points which are all the same distance (the radius) from a certain point (the center).
x°/360 times (?r²) - where x is the degrees in the angle