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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. Surface Area of Cylinder
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
Pir^2h
2pir^2 + 2pir*h
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

2. Circle
4/3pir^3
The set of points which are all the same distance (the radius) from a certain point (the center).
(a+b)(a²-ab+b²)
Order does matter for a permutation - but does not matter for a combination.

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

4. What is inversely proportional?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2pir^2 + 2pir*h
y = k/x
T1 + (n-1)d

5. What is the prime factorization of 200?
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.
2x2x2x5x5
(pi)r^2(h)
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.

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

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7. What is the area of a circle?
(pi)r^2
2(pi)r
x°/360 times (?r²) - where x is the degrees in the angle
(x-y)²

8. Area of Triangle
A segment connecting the center of a circle to any point on the circle
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
Negative
1/2bh

9. Perimeter (circumference) of a circle
Ac+ad+bc+bd
Negative
?r²
2 pi r

10. Quadratic Formula
2(pi)r(r+h)
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.
b±[vb²-4ac]/2a
½(b1 +b2) x h [or (b1 +b2) x h÷2]

11. Perimeter of a square
(a+b)²
4s (where s = length of a side)
x² -2xy + y²
(n degrees/360) * 2(pi)r

12. List two odd behaviors of exponents
4s (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.
T1 * r^(n-1)
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

13. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
1/2bh
S^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.

14. a²-b²
2pi*r
(a-b)(a+b)
S^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.

15. Area of rectangle - square - parallelogram
A=bh
The four big angles are equal and the four small angles are equal
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.
x°/360 times (?r²) - where x is the degrees in the angle

16. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

17. Sector
Opens up
2Length + 2width [or (length + width) x 2]
?d OR 2?r
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.

18. What is the area of a cylinder?
Lwh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2(pi)r(r+h)
?d OR 2?r

19. What is a 'Right isosceles' triangle?
Less
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
(a+b)²

20. How do you find the sum of a geometric sequence?
(x+y)(x-y)
1/1
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
T1 * r^(n-1)/(r-1)

21. (a+b)(c+d)
Ac+ad+bc+bd
S*v2
(a+b)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

22. What is the surface area of a cylinder?
N x M
2(pi)r(r+h)
4s
(pi)r^2

23. Perimeter of polygon
Between 0 and 1.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Sum of the lengths of the sides

24. How do you find the sum of an arithmetic sequence?
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.
(n/2) * (t1+tn)
S² - where s = length of a side
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'.

25. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(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.

26. a²-2ab+b²
A²-b²
S^2
The distance from one point on the circle to another point on the circle.
(a-b)²

27. Volume of pyramid
1/3Bh
Middle term
Negative
Total distance/total time

28. Slope
1/2bh
An ange whose vertex is the center of the circle
Sum of terms/number of terms
(y2-y1)/(x2-x1)

29. Explain the special properties of zero.
Opens down
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)
N x M

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

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31. What is the volume of a cylinder?
Sqr( x2 -x1) + (y2- y1)
1
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(pi)r^2(h)

32. Point-Slope form
y-y1=m(x-x1)
The four big angles are equal and the four small angles are equal
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.
T1 * r^(n-1)

33. What is the average?
Bh
Sum of terms/number of terms
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2l+2w

34. Circumference Formula
Order does matter for a permutation - but does not matter for a combination.
(a+b)²
Lw
C =?d

35. a² - b² is equal to
1/2bh
Arrangements - orders - schedules - or lists.
(a+b)(a-b)
T1 * r^(n-1)/(r-1)

36. In a parabola - if the first term is positive - the parabola ________.
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.
S*v2
Opens up
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.

37. In a parabola - if the first term is negative - the parabola ________.
Middle term
Bh
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.
Opens down

38. What is the side ratio for a 30:60:90 triangle?
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
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Order does matter for a permutation - but does not matter for a combination.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

39. Central Angle
An ange whose vertex is the center of the circle
Sqr( x2 -x1) + (y2- y1)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(x+y)(x-y)

40. Rough est. of v1 =
b±[vb²-4ac]/2a
1
(n-2)180
Probability A + Probability B

41. Radius (Radii)
A=?r2
N x M
1/x^a
A segment connecting the center of a circle to any point on the circle

42. (a+b)(a-b)=
(n-2)180
C =?d
A²-b²
The set of points which are all the same distance (the radius) from a certain point (the center).

43. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(pi)r^2(h)
The set of points which are all the same distance (the radius) from a certain point (the center).
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.

44. In a coordinate system - identify the quadrants and describe their location.
The distance from one point on the circle to another point on the circle.
A segment connecting the center of a circle to any point on the circle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(y2-y1)/(x2-x1)

45. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
(0 -0)
Opens up
The four big angles are equal and the four small angles are equal

46. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
The total # of possible outcomes.
(x-y)²
(x+y)(x-y)

47. Area of a square
1/2bh
S² - where s = length of a side
(a+b)²
2l+2w

48. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
Lwh
b±[vb²-4ac]/2a
(y-y1)=m(x-x1)

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

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