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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. a²-2ab+b²
Not necessarily. This is a trick question - because x could be either positive or negative.
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
(a-b)²
(y-y1)=m(x-x1)

2. Volume of Cone
4s
1/3pir^2*h
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.
(n-2)180

3. Does order matter for a permutation? How about for a combination?
(a+b)(a-b)
x°/360 times (?r²) - where x is the degrees in the angle
(a-b)²
Order does matter for a permutation - but does not matter for a combination.

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

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5. What is the formula for the diagonal of any square?
S*v2
y-y1=m(x-x1)
Order does matter for a permutation - but does not matter for a combination.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

6. 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.
Bh
2(pi)r
Opens down

7. Circumference of a circle
?d OR 2?r
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
1.7

8. (a+b)(a-b)=
2 pi r
A²-b²
(n-2)180
Bh

9. What is the area of a cylinder?
2(pi)r(r+h)
Probability A * Probability B
(0 -0)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

10. a²-b²
(a-b)(a+b)
The distance from one point on the circle to another point on the circle.
(y-y1)=m(x-x1)
x°/360 times (?r²) - where x is the degrees in the angle

11. Chord
The distance from one point on the circle to another point on the circle.
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.
An ange whose vertex is the center of the circle
(n degrees/360) * (pi)r^2

12. How do you find the sum of an arithmetic sequence?
S² - where s = length of a side
(n/2) * (t1+tn)
The total # of possible outcomes.
An ange whose vertex is the center of the circle

13. What'S the most important thing to remember about charts you'll see on the GRE?
S*v2
Bh
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
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.

14. Surface Area of rectangular prism
?r²
(a+b)(a²-ab+b²)
2lw+2lh+2wh
The average - mean - median - or mode.

15. What do permutation problems often ask for?
The four big angles are equal and the four small angles are equal
Not necessarily. This is a trick question - because x could be either positive or negative.
1/3pir^2*h
Arrangements - orders - schedules - or lists.

16. What is the distance formula?
x² + 2xy + y²
?r²
Sqr( x2 -x1) + (y2- y1)
x°/360 times (?r²) - where x is the degrees in the angle

17. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
S*v2
1/2 h (b1 + b2)
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.

18. What is directly proportional?
y = kx
1
(a-b)²
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.

19. What is the factored version of x² + 2xy + y² ?
(y-y1)=m(x-x1)
(x+y)²
The four big angles are equal and the four small angles are equal
C =?d

20. What is the equation of a line?

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21. What is the unfactored version of (x-y)² ?
1/3Bh
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.
2x2x2x5x5
x² -2xy + y²

22. In intersecting lines - opposite angles are _____.
(pi)r^2
Equal
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.
(x1+x2)/2 - (y1+y2)/2

23. Quadratic Formula
x°/360 times (2 pi r) - where x is the degrees in the angle
b±[vb²-4ac]/2a
(n-2)180
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

24. What is a 'Right isosceles' triangle?
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
1.4
Arrangements - orders - schedules - or lists.
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.

25. What is the side ratio for a Right Isosceles triangle?
y = kx
(0 -0)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1.4

26. What is the area of a solid rectangle?
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-b)(a²+ab+b²)
2(lw+wh+lh)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

27. Area of Rectangle
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Lw
(n degrees/360) * 2(pi)r

28. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Lwh
1/2bh
S² - where s = length of a side

29. Circumference Formula
(x-y)²
Percentage Change = Difference/Original * 100
C =?d
(a-b)²

30. The probability of an event happening and the probability of an event NOT happening must add up to what number?
An ange whose vertex is the center of the circle
1. Given event A: A + notA = 1.
?r²
Number of desired outcomes/number of total outcomes

31. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
The distance from one point on the circle to another point on the circle.
2pi*r
Total distance/total time

32. Define the formula for calculating slope.
2 pi r
(a+b)(a-b)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

33. Area of Circles
4s (where s = length of a side)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A=?r2
T1 + (n-1)d

34. When a line crosses two parallel lines - ________.
b±[vb²-4ac]/2a
(x1+x2)/2 - (y1+y2)/2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The four big angles are equal and the four small angles are equal

35. Area of 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.
1/2bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a-b)²

36. In a parabola - if the first term is negative - the parabola ________.
N x M
(n degrees/360) * (pi)r^2
Opens down
Arrangements - orders - schedules - or lists.

37. What do combination problems usually ask for?
S² - where s = length of a side
The average - mean - median - or mode.
Groups - teams - or committees.
(x-y)²

38. What is the unfactored version of (x+y)² ?
Probability A + Probability B
x² + 2xy + y²
(a-b)(a²+ab+b²)
An ange whose vertex is the center of the circle

39. Slope
The distance from one point on the circle to another point on the circle.
(y2-y1)/(x2-x1)
Bh
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.

40. What number goes on the bottom of a probability fraction?
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 total # of possible outcomes.
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

41. What are the side ratios for a 30:60:90 triangle?
y = k/x
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
x² -2xy + y²
1.7

42. (a+b)(c+d)
Ac+ad+bc+bd
Pir^2h
1. Given event A: A + notA = 1.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

43. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
T1 * r^(n-1)
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.
Not necessarily. This is a trick question - because x could be either positive or negative.

44. Rough est. of v3 =
Bh
The total # of possible outcomes.
1/3pir^2*h
1.7

45. If something is certain to happen - how is the probability of this event expressed mathematically?
1/3pir^2*h
?d OR 2?r
(pi)r^2
1/1

46. Perimeter of a square
The distance from one point on the circle to another point on the circle.
4s (where s = length of a side)
Part of a circle connecting two points on the circle.
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.

47. 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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48. Explain the special properties of zero.
(n degrees/360) * (pi)r^2
A+b
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

49. What is an 'equilateral' 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.
N x M
Sum of the lengths of the sides
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

50. Define a factorial of a number - and how it is written.
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 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.
(n degrees/360) * 2(pi)r
Opens down