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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 do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
Last term
y2-y1/x2-x1
x°/360 times (2 pi r) - where x is the degrees in the angle

2. Area of Rectangle
Opens down
2(pi)r
Lw
S*v2

3. The length of one side of any triangle is ____ than the sum of the other two sides.
Pi*d
Less
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.

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

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5. What is inversely proportional?
Middle term
Probability A + Probability B
y = k/x
The distance from one point on the circle to another point on the circle.

6. What is the prime factorization of 200?
2x2x2x5x5
Sqr( x2 -x1) + (y2- y1)
Part of a circle connecting two points on the circle.
x² -2xy + y²

7. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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
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 degrees/360) * (pi)r^2
?r²

8. How do you find the nth term of a geometric sequence?
1.7
T1 * r^(n-1)
An ange whose vertex is the center of the circle
Bh

9. How do you calculate the surface area of a rectangular box?
Sqr( x2 -x1) + (y2- y1)
2Length + 2width [or (length + width) x 2]
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.

10. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
(n degrees/360) * 2(pi)r
S*v2
A segment connecting the center of a circle to any point on the circle

11. Area of Circles
A=?r2
y = kx
Total distance/total time
(n degrees/360) * (pi)r^2

12. What is the 'distributive law'?
x°/360 times (?r²) - where x is the degrees in the angle
Sum of the lengths of the sides
Number of desired outcomes/number of total outcomes
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.

13. Sector
2(pi)r(r+h)
?r²
The four big angles are equal and the four small angles are equal
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.

14. What is directly proportional?
1/2 h (b1 + b2)
y = kx
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.
1.7

15. In a coordinate system - what is the origin?
4/3pir^3
(0 -0)
?r²
(n-2)180

16. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
1
2x2x2x5x5
Ac+ad+bc+bd

17. perimeter of square
(y2-y1)/(x2-x1)
Last term
2pir^2 + 2pir*h
4s

18. What is the area of a circle?
(pi)r^2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2(pi)r
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 '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.
Sum of terms/number of terms
Pi*r^2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

20. Surface Area of Cylinder
2pir^2 + 2pir*h
y2-y1/x2-x1
1/2 h (b1 + b2)
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

21. If something is possible but not certain - what is the numeric range of probability of it happening?
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.
Between 0 and 1.
1/2bh
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.

22. x^-a =
1/x^a
Bh
C =?d
4pir^2

23. Lines reflected over the x or y axis have ____ slopes.
Negative
The total # of possible outcomes.
The distance from one point on the circle to another point on the circle.
(a+b)(a²-ab+b²)

24. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
S^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.

25. Quadratic Formula
A=?r2
b±[vb²-4ac]/2a
2lw+2lh+2wh
T1 + (n-1)d

26. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x°/360 times (2 pi r) - where x is the degrees in the angle
2pir^2 + 2pir*h
(a-b)²

27. To divide powers with the same base...
(a-b)²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

28. Area of a square
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-y1=m(x-x1)
Pir^2h
S² - where s = length of a side

29. Area of a circle
Opens up
(n/2) * (t1+tn)
?r²
(x1+x2)/2 - (y1+y2)/2

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

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31. a²+2ab+b²
(a+b)²
(x+y)(x-y)
(x+y)²
2pir^2 + 2pir*h

32. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
T1 + (n-1)d
(n/2) * (t1+tn)
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'.

33. What is the volume of a cylinder?
(pi)r^2(h)
(n-2)180
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.
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.

34. (a+b)(c+d)
(x1+x2)/2 - (y1+y2)/2
2x2x2x5x5
Pir^2h
Ac+ad+bc+bd

35. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Pir^2h
Probability A + Probability B
2 pi r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

36. What is the average speed?
C =?d
4s (where s = length of a side)
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.
Total distance/total time

37. What is the length of an arc?
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.
1/3Bh
(n degrees/360) * 2(pi)r
1/1

38. Perimeter of a square
4s (where s = length of a side)
(0 -0)
2l+2w
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.

39. What is the equation of a line?

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40. In a coordinate system - identify the quadrants and describe their location.
Negative
S*v2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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

41. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
y = k/x
The average - mean - median - or mode.

42. Volume of sphere
A=?r2
4/3pir^3
Middle term
4s

43. What is the area of a triangle?
The average - mean - median - or mode.
y = kx
Bh
1/2bh

44. In a parabola - if the first term is negative - the parabola ________.
2pi*r
Opens down
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.
(a-b)²

45. a²-b²
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'.
Groups - teams - or committees.
(a-b)(a+b)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

46. a³+b³
2lw+2lh+2wh
(n-2)180
2x2x2x5x5
(a+b)(a²-ab+b²)

47. Volume of pyramid
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.
Less
The total # of possible outcomes.
1/3Bh

48. What is the average?
(pi)r^2
Sum of terms/number of terms
y = k/x
Arrangements - orders - schedules - or lists.

49. Area of Parallelogram
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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
S*v2

50. Area of a trapezoid
N x M
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
x²-y²