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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 a 'Right isosceles' 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
Sqr( x2 -x1) + (y2- y1)
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.

2. How do you calculate the percentage of change?
Total distance/total time
The set of points which are all the same distance (the radius) from a certain point (the center).
Percentage Change = Difference/Original * 100
A=bh

3. What is the surface area of a cylinder?
2(pi)r(r+h)
4/3pir^3
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
y2-y1/x2-x1

4. 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.
T1 + (n-1)d
Probability A * Probability B
1/3pir^2*h

5. Slope
(x1+x2)/2 - (y1+y2)/2
(y2-y1)/(x2-x1)
(a+b)²
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

6. Volume of pyramid
The average - mean - median - or mode.
1/3Bh
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

7. Volume of sphere
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.
1.7
4/3pir^3
(pi)r^2

8. How do you calculate the probability of two events in a row? (Probability of A and B)
2lw+2lh+2wh
Lw
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.
Probability A * Probability B

9. In a parabola - if the first term is negative - the parabola ________.
Opens down
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.
4/3pir^3
(n-2)180

10. Radius (Radii)
Between 0 and 1.
1.4
A segment connecting the center of a circle to any point on the circle
Groups - teams - or committees.

11. What is the factored version of x² + 2xy + y² ?
Sqr( x2 -x1) + (y2- y1)
(x+y)²
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

12. Circumference of a circle using radius
A²-b²
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2pi*r

13. Circumference of cirlce using diameter
Ac+ad+bc+bd
b±[vb²-4ac]/2a
(a+b)(a-b)
Pi*d

14. Area of Square
S^2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(0 -0)
1. Given event A: A + notA = 1.

15. If something is certain to happen - how is the probability of this event expressed mathematically?
A=?r2
Sum of terms/number of terms
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.
1/1

16. How do you calculate a diagonal inside a 3-dimensional rectangular box?
2 pi r
Number of desired outcomes/number of total outcomes
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

17. Perimeter of a square
4s (where s = length of a side)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The total # of possible outcomes.
Number of desired outcomes/number of total outcomes

18. Lines reflected over the x or y axis have ____ slopes.
Negative
(y-y1)=m(x-x1)
Part of a circle connecting two points on the circle.
(n-2)180

19. For a bell curve - what three terms might be used to describe the number in the middle?
x² + 2xy + y²
b±[vb²-4ac]/2a
Arrangements - orders - schedules - or lists.
The average - mean - median - or mode.

20. perimeter of square
(y-y1)=m(x-x1)
x² + 2xy + y²
4s
4s (where s = length of a side)

21. What is the volume of a solid rectangle?
Lwh
(a+b)(a²-ab+b²)
Ac+ad+bc+bd
y-y1=m(x-x1)

22. What is 'absolute value' - and how is it represented?

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23. What is 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
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1/2bh
?d OR 2?r

24. Area of Circle
Pi*r^2
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
½(base x height) [or (base x height)÷2]
Arrangements - orders - schedules - or lists.

25. Perimeter of rectangle
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
Pi*d
2l+2w
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

26. Volume of Cylinder
2pir^2 + 2pir*h
Part of a circle connecting two points on the circle.
Pir^2h
Pi*d

27. How do you find the nth term of a geometric sequence?
1/2bh
T1 * r^(n-1)
(x+y)(x-y)
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.

28. 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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n degrees/360) * (pi)r^2
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.

29. a² - b² is equal to
1/2 h (b1 + b2)
(a+b)(a-b)
(y-y1)=m(x-x1)
x² -2xy + y²

30. How do you find the sum of a geometric sequence?
(a-b)(a+b)
The set of points which are all the same distance (the radius) from a certain point (the center).
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)/(r-1)

31. How do you find the slope?
?d OR 2?r
(pi)r^2(h)
Sum of the lengths of the sides
y2-y1/x2-x1

32. What is the area of a sector?
(n degrees/360) * (pi)r^2
½(base x height) [or (base x height)÷2]
x² + 2xy + y²
Negative

33. What is the unfactored version of x²-y² ?
(x+y)(x-y)
Negative
y2-y1/x2-x1
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.

34. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
The set of points which are all the same distance (the radius) from a certain point (the center).
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(lw+wh+lh)

35. Perimeter of polygon
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.
(0 -0)
Sum of the lengths of the sides
x² -2xy + y²

36. What is the length of an arc?
(x1+x2)/2 - (y1+y2)/2
(n degrees/360) * 2(pi)r
Percentage Change = Difference/Original * 100
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'.

37. What is the average?
1/3pir^2*h
Sum of terms/number of terms
(a+b)(a-b)
2lw+2lh+2wh

38. Area of a triangle
The four big angles are equal and the four small angles are equal
x² + 2xy + y²
½(base x height) [or (base x height)÷2]
(n-2)180

39. How do you find the sum of an arithmetic sequence?
(y2-y1)/(x2-x1)
Pir^2h
2(pi)r(r+h)
(n/2) * (t1+tn)

40. a²+2ab+b²
(pi)r^2(h)
(a+b)²
(x1+x2)/2 - (y1+y2)/2
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. What is the area of a cylinder?
2(pi)r(r+h)
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'.
?d OR 2?r
Groups - teams - or committees.

42. Diameter
(n-2)180
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(pi)r
y = k/x

43. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
T1 + (n-1)d
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.
y = k/x

44. What do combination problems usually ask for?
x²-y²
(0 -0)
Groups - teams - or committees.
Less

45. Area of a sector
(a-b)²
x°/360 times (?r²) - where x is the degrees in the angle
(0 -0)
y = k/x

46. In a parabola - if the first term is positive - the parabola ________.
1/2bh
T1 + (n-1)d
Opens up
A+b

47. Rough est. of v1 =
Pi*r^2
1/2bh
(pi)r^2
1

48. What is the unfactored version of (x+y)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.
x² + 2xy + y²
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
T1 + (n-1)d

49. Chord
?r²
Probability A + Probability B
Percentage Change = Difference/Original * 100
The distance from one point on the circle to another point on the circle.

50. What is the area of a triangle?
(a-b)(a+b)
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
S*v2