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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 find the slope?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
y2-y1/x2-x1
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
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. Does order matter for a permutation? How about for a combination?
Groups - teams - or committees.
Order does matter for a permutation - but does not matter for a combination.
Probability A + Probability B
Pir^2h

3. What is a '30:60:90' triangle?
y2-y1/x2-x1
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
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

4. a²-b²
(a-b)(a+b)
T1 * r^(n-1)/(r-1)
Order does matter for a permutation - but does not matter for a combination.
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.

5. Sector
y-y1=m(x-x1)
(0 -0)
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

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

7. What is the factored version of x² + 2xy + y² ?
Probability A * Probability B
(x+y)²
y = kx
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.

8. What is the factored version of (x+y)(x-y) ?
Between 0 and 1.
1.4
Number of desired outcomes/number of total outcomes
x²-y²

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

10. Point-Slope form
y-y1=m(x-x1)
Part of a circle connecting two points on the circle.
?r²
The four big angles are equal and the four small angles are equal

11. What is the factored version of x² -2xy + y² ?
(x-y)²
1
Pi*d
y2-y1/x2-x1

12. What is the area of a solid rectangle?
x² + 2xy + y²
2(lw+wh+lh)
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.
T1 + (n-1)d

13. What is the average?
S² - where s = length of a side
An ange whose vertex is the center of the circle
Sum of terms/number of terms
(n degrees/360) * (pi)r^2

14. Area of Trapezoid
Order does matter for a permutation - but does not matter for a combination.
Negative
2(pi)r
1/2 h (b1 + b2)

15. What is the unfactored version of (x-y)² ?
1
y = kx
N x M
x² -2xy + y²

16. a²+2ab+b²
N x M
(a+b)²
1/2bh
1/2bh

17. Quadratic Formula
b±[vb²-4ac]/2a
(x1+x2)/2 - (y1+y2)/2
(x+y)²
The average - mean - median - or mode.

18. Area of Parallelogram
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Pi*r^2
2(lw+wh+lh)
Bh

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

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

21. Rough est. of v1 =
2Length + 2width [or (length + width) x 2]
N x M
1
2(pi)r(r+h)

22. What do combination problems usually ask for?
Groups - teams - or committees.
2(pi)r
(n degrees/360) * (pi)r^2
(a-b)(a²+ab+b²)

23. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
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)(a²+ab+b²)
N x M
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.

24. Surface Area of rectangular prism
y-y1=m(x-x1)
2(pi)r(r+h)
2lw+2lh+2wh
A+b

25. What is the unfactored version of (x+y)² ?
(n/2) * (t1+tn)
2(pi)r(r+h)
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.
x² + 2xy + y²

26. Volume of sphere
1.7
1/1
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
4/3pir^3

27. Lines reflected over the x or y axis have ____ slopes.
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.
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.
Negative
The set of points which are all the same distance (the radius) from a certain point (the center).

28. What is the side ratio for a 30:60:90 triangle?
(x1+x2)/2 - (y1+y2)/2
Less
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

29. Circle
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
y = kx
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
The set of points which are all the same distance (the radius) from a certain point (the center).

30. What is the 'distributive law'?
The distance across the circle through the center of the circle.The diameter is twice the radius.
y2-y1/x2-x1
T1 * r^(n-1)/(r-1)
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.

31. How do you find the sum of a geometric sequence?
An ange whose vertex is the center of the circle
A=bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
T1 * r^(n-1)/(r-1)

32. What is the 'Third side' rule for triangles?
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Sum of terms/number of terms
1/3Bh

33. Rough est. of v3 =
1.7
4s (where s = length of a side)
An ange whose vertex is the center of the circle
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.

34. When you reverse FOIL - the term that needs to add out is the _____
Middle term
4s
Order does matter for a permutation - but does not matter for a combination.
1/2bh

35. List two odd behaviors of exponents
1.7
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.
2(pi)r(r+h)
Number of desired outcomes/number of total outcomes

36. Volume of Cone
?r²
Pir^2h
4s
1/3pir^2*h

37. If something is certain to happen - how is the probability of this event expressed mathematically?
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.
1/1
2l+2w
Lw

38. What is the sum of the inside angles of an n-sided polygon?
(pi)r^2(h)
(n-2)180
S*v2
4s

39. What is inversely proportional?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
y = k/x
1/3pir^2*h
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. Perimeter of rectangle
2pi*r
S² - where s = length of a side
2l+2w
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.

41. How do you solve a permutation?
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
Percentage Change = Difference/Original * 100
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
S² - where s = length of a side

42. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
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.
Opens up
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'.

43. Area of Square
S^2
(x+y)(x-y)
Sum of the lengths of the sides
Pi*d

44. Define the mode of a set of numbers.
(n-2)180
Opens down
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

45. Surface Area of Cylinder
(0 -0)
x² + 2xy + y²
2pir^2 + 2pir*h
Part of a circle connecting two points on the circle.

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

47. (a+b)(c+d)
Less
Opens down
Ac+ad+bc+bd
Percentage Change = Difference/Original * 100

48. 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.
(n degrees/360) * 2(pi)r
Pi*r^2
2pir^2 + 2pir*h

49. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1/2bh
T1 + (n-1)d
(n degrees/360) * (pi)r^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.

50. a² - b² is equal to
Equal
(a+b)(a-b)
Pir^2h
The four big angles are equal and the four small angles are equal