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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 a diagonal inside a 3-dimensional rectangular box?
Negative
2pir^2 + 2pir*h
A=bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

2. Diameter
2(pi)r(r+h)
Probability A * Probability B
The distance across the circle through the center of the circle.The diameter is twice the radius.
(n degrees/360) * 2(pi)r

3. a³-b³
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
N x M
(a-b)(a²+ab+b²)
(0 -0)

4. How do you find the sum of a geometric sequence?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
T1 * r^(n-1)/(r-1)
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.
Groups - teams - or committees.

5. List two odd behaviors of exponents
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
½(base x height) [or (base x height)÷2]
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.

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

7. What is the area of a sector?
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.
Total distance/total time
(n degrees/360) * (pi)r^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

8. 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
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.
1/1

9. How do you find the slope?
4s
(x+y)(x-y)
1/1
y2-y1/x2-x1

10. What is the formula for the diagonal of any square?
S*v2
(x+y)²
Groups - teams - or committees.
(a+b)(a-b)

11. What is the sum of the inside angles of an n-sided polygon?
S^2
x² -2xy + y²
(n-2)180
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.

12. Area of Rectangle
Less
Number of desired outcomes/number of total outcomes
Lw
x²-y²

13. Define the formula for calculating slope.
x² + 2xy + y²
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
1/2 h (b1 + b2)

14. What is the length of an arc?
(n degrees/360) * 2(pi)r
An ange whose vertex is the center of the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.

15. a² - b² is equal to
(a+b)(a-b)
T1 * r^(n-1)/(r-1)
Negative
(a-b)²

16. What is the 'Third side' rule for triangles?
(n degrees/360) * 2(pi)r
x² + 2xy + y²
?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.

17. To divide powers with the same base...
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)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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

18. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2l+2w
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
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.

19. What is the area of a triangle?
1/2bh
T1 + (n-1)d
Equal
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

20. Explain the special properties of zero.
Order does matter for a permutation - but does not matter for a combination.
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.
4s
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.

21. Volume of prism
Bh
C =?d
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.
y = kx

22. Area of a circle
Pi*d
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.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?r²

23. How do you calculate the surface area of a rectangular box?
(y-y1)=m(x-x1)
Part of a circle connecting two points on the circle.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

24. What is the volume of a solid rectangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The set of points which are all the same distance (the radius) from a certain point (the center).
Lwh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

25. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

26. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
(n-2)180
Opens down
x²-y²

27. What is the factored version of x² -2xy + y² ?
(x-y)²
2lw+2lh+2wh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
C =?d

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

29. Area of Parallelogram
Bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
4s
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

30. Volume of Cylinder
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.
Pir^2h
Order does matter for a permutation - but does not matter for a combination.
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.

31. If x² = 144 - does v144 = x?
Pi*d
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

32. In a coordinate system - what is the origin?
(0 -0)
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.
Arrangements - orders - schedules - or lists.
T1 * r^(n-1)

33. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
An ange whose vertex is the center of the circle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?d OR 2?r

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

35. What is directly proportional?
Sum of the lengths of the sides
The distance across the circle through the center of the circle.The diameter is twice the radius.
x²-y²
y = kx

36. What is the volume of a cylinder?
(a-b)(a+b)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(y-y1)=m(x-x1)
(pi)r^2(h)

37. Area of a square
Sum of the lengths of the sides
S² - where s = length of a side
1/3pir^2*h
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.

38. Surface Area of rectangular prism
4s
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2lw+2lh+2wh
Percentage Change = Difference/Original * 100

39. What is the probability?
Number of desired outcomes/number of total outcomes
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.
The total # of possible outcomes.
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

40. What is a '30:60:90' triangle?
A+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.
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
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.

41. What is a 'Right isosceles' 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.
2 pi r
(n/2) * (t1+tn)
(0 -0)

42. Does order matter for a permutation? How about for a combination?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/x^a
Order does matter for a permutation - but does not matter for a combination.
x°/360 times (?r²) - where x is the degrees in the angle

43. Sector
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.
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
Lw
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.

44. What is the factored version of (x+y)(x-y) ?
Bh
1/3pir^2*h
Lwh
x²-y²

45. The probability of an event happening and the probability of an event NOT happening must add up to what number?
(a-b)²
1. Given event A: A + notA = 1.
2l+2w
An ange whose vertex is the center of the circle

46. Slope
(pi)r^2
?d OR 2?r
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
(y2-y1)/(x2-x1)

47. What is the distance formula?
Order does matter for a permutation - but does not matter for a combination.
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.
Sqr( x2 -x1) + (y2- y1)
(a-b)(a²+ab+b²)

48. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Pi*d
The distance from one point on the circle to another point on the circle.
Bh

49. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(pi)r^2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Probability A + Probability B
The distance from one point on the circle to another point on the circle.

50. Surface Area of Cylinder
2pi*r
2pir^2 + 2pir*h
1.7
Last term