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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. What is the area of a solid rectangle?
y = kx
2(lw+wh+lh)
A segment connecting the center of a circle to any point on the circle
Pir^2h

2. What is the volume of a cylinder?
Bh
(pi)r^2(h)
1.7
A+b

3. Quadratic Formula
½(b1 +b2) x h [or (b1 +b2) x h÷2]
b±[vb²-4ac]/2a
Total distance/total time
Opens down

4. Area of Circle
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.
2x2x2x5x5
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Pi*r^2

5. Circumference of cirlce using diameter
Pi*d
Groups - teams - or committees.
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.
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.

6. What is the average speed?
Total distance/total time
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.
4pir^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.

7. In a coordinate system - identify the quadrants and describe their location.
Middle term
Between 0 and 1.
?d OR 2?r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

8. What is the area of a cylinder?
(y2-y1)/(x2-x1)
y2-y1/x2-x1
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2(pi)r(r+h)

9. In a coordinate system - what is the origin?
A=?r2
(0 -0)
2x2x2x5x5
(n degrees/360) * (pi)r^2

10. In a parabola - if the first term is positive - the parabola ________.
T1 * r^(n-1)/(r-1)
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 formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Opens up

11. What is the side ratio for a Right Isosceles triangle?
A segment connecting the center of a circle to any point on the circle
2x2x2x5x5
4pir^2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

12. Arc
Part of a circle connecting two points on the circle.
?d OR 2?r
2(pi)r(r+h)
2(pi)r

13. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
Opens down
(y2-y1)/(x2-x1)
A=bh

14. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A segment connecting the center of a circle to any point on the circle
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
C =?d

15. What is directly proportional?
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.
y = kx
1/2bh
2(pi)r(r+h)

16. Area of Parallelogram
Bh
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.
Equal
Opens up

17. What is the surface area of a cylinder?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
An ange whose vertex is the center of the circle
2(pi)r(r+h)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

18. How do you multiply and divide square roots?
Probability A + Probability B
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

19. Volume of prism
Bh
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1. Given event A: A + notA = 1.
Opens down

20. What is the distance formula?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The average - mean - median - or mode.
2(pi)r
Sqr( x2 -x1) + (y2- y1)

21. Does order matter for a permutation? How about for a combination?
(a-b)(a²+ab+b²)
(0 -0)
2pi*r
Order does matter for a permutation - but does not matter for a combination.

22. In intersecting lines - opposite angles are _____.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
T1 * r^(n-1)/(r-1)
Equal
1/3Bh

23. If something is certain to happen - how is the probability of this event expressed mathematically?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.
1/1
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

24. Area of rectangle - square - parallelogram
A=bh
y = k/x
Probability A * Probability B
(x-y)²

25. a²-2ab+b²
(a-b)²
(x+y)(x-y)
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.
x°/360 times (?r²) - where x is the degrees in the angle

26. What is the point-slope form?
(y-y1)=m(x-x1)
Lw
y = kx
C =?d

27. What are the side ratios for a 30:60:90 triangle?
Middle term
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
N x M
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.

28. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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29. length of a sector
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
(n/2) * (t1+tn)
(x-y)²
x°/360 times (2 pi r) - where x is the degrees in the angle

30. List two odd behaviors of exponents
2 pi r
Last term
x² -2xy + y²
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.

31. Volume of Cylinder
Pir^2h
A=?r2
b±[vb²-4ac]/2a
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.

32. What is the sum of the inside angles of an n-sided polygon?
(a-b)(a²+ab+b²)
(n-2)180
y2-y1/x2-x1
Sqr( x2 -x1) + (y2- y1)

33. In a parabola - if the first term is negative - the parabola ________.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Opens down
The four big angles are equal and the four small angles are equal
2(lw+wh+lh)

34. Explain the special properties of zero.
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.
Equal
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.
(x1+x2)/2 - (y1+y2)/2

35. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
Not necessarily. This is a trick question - because x could be either positive or negative.
The four big angles are equal and the four small angles are equal
Percentage Change = Difference/Original * 100

36. Lines reflected over the x or y axis have ____ slopes.
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.
Negative
(a-b)(a+b)
4/3pir^3

37. What is the probability?
Last term
T1 * r^(n-1)
4pir^2
Number of desired outcomes/number of total outcomes

38. How do you find the slope?
2(lw+wh+lh)
Part of a circle connecting two points on the circle.
y2-y1/x2-x1
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.

39. How do you find the nth term of a geometric sequence?
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.
(n/2) * (t1+tn)
Arrangements - orders - schedules - or lists.
T1 * r^(n-1)

40. What do permutation problems often ask for?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Probability A + Probability B
Arrangements - orders - schedules - or lists.
2(pi)r

41. Perimeter of a square
Less
4s (where s = length of a side)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
T1 * r^(n-1)

42. What is the length of an arc?
2(pi)r(r+h)
Bh
(n degrees/360) * 2(pi)r
2x2x2x5x5

43. Rough est. of v1 =
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
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Pi*d

44. (a+b)(a-b)=
The average - mean - median - or mode.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A²-b²
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

45. Define the mode of a set of numbers.
Ac+ad+bc+bd
C =?d
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 total # of possible outcomes.

46. Rough est. of v2 =
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
Bh
1.4
N x M

47. What is the factored version of (x+y)(x-y) ?
Lw
S^2
x²-y²
The distance from one point on the circle to another point on the circle.

48. When you reverse FOIL - the term that needs to add out is the _____
?d OR 2?r
Middle term
1/2bh
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.

49. 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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50. What is the 'Third side' rule for triangles?
x°/360 times (2 pi r) - where x is the degrees in the angle
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/x^a
Last term

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GRE Math 2

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