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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
Less
2pir^2 + 2pir*h
4s
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.

2. Area of Circles
Equal
Total distance/total time
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=?r2

3. Area of rectangle - square - parallelogram
(a+b)(a-b)
Less
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
A=bh

4. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
(x1+x2)/2 - (y1+y2)/2
Less
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.
x² + 2xy + y²

5. a³-b³
(n-2)180
?r²
(a-b)(a²+ab+b²)
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.

6. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
1. Given event A: A + notA = 1.
Order does matter for a permutation - but does not matter for a combination.
Equal

7. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
2(pi)r
Sum of terms/number of terms
N x M
(a+b)(a²-ab+b²)

8. What is the prime factorization of 200?
1.7
2x2x2x5x5
Arrangements - orders - schedules - or lists.
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.

9. Surface Area of Sphere
4pir^2
The distance from one point on the circle to another point on the circle.
(a+b)(a²-ab+b²)
Bh

10. What is the 'distributive law'?
Last term
C =?d
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+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.

11. How do you multiply and divide square roots?
Opens down
2x2x2x5x5
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
x² -2xy + y²

12. Does order matter for a permutation? How about for a combination?
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'.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Order does matter for a permutation - but does not matter for a combination.
x² + 2xy + y²

13. What is the unfactored version of (x-y)² ?
x² -2xy + y²
Probability A + Probability B
2(lw+wh+lh)
(x+y)(x-y)

14. Volume of sphere
Order does matter for a permutation - but does not matter for a combination.
N x M
4/3pir^3
(n degrees/360) * 2(pi)r

15. Define the formula for calculating slope.
Probability A * Probability B
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

16. What is the sum of the inside angles of an n-sided polygon?
Middle term
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(n-2)180
(y-y1)=m(x-x1)

17. Area of Parallelogram
Bh
?d OR 2?r
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.
(a+b)(a-b)

18. Volume of prism
(a-b)(a+b)
Probability A * Probability B
Bh
Equal

19. In a coordinate system - what is the origin?
1/x^a
2pir^2 + 2pir*h
(0 -0)
x² -2xy + y²

20. What is the volume of a cylinder?
Pi*d
Opens up
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(pi)r^2(h)

21. How do you calculate the surface area of a rectangular box?
Order does matter for a permutation - but does not matter for a combination.
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.
(y-y1)=m(x-x1)
2l+2w

22. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
1/1
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'.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

23. Slope
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(y2-y1)/(x2-x1)
4s (where s = length of a side)

24. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

25. Circumference of a circle using radius
2pi*r
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(n/2) * (t1+tn)
Sqr( x2 -x1) + (y2- y1)

26. Area of Triangle
Sum of terms/number of terms
Opens up
1/2bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

27. What is the area of a cylinder?
Sqr( x2 -x1) + (y2- y1)
Ac+ad+bc+bd
(x+y)(x-y)
2(pi)r(r+h)

28. If something is certain to happen - how is the probability of this event expressed mathematically?
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=?r2
1/1
Arrangements - orders - schedules - or lists.

29. (a+b)(c+d)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a+b)(a-b)
1.4
Ac+ad+bc+bd

30. How do you find the slope?
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
Number of desired outcomes/number of total outcomes
T1 * r^(n-1)
y2-y1/x2-x1

31. How do you find the sum of a geometric sequence?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
T1 * r^(n-1)/(r-1)
C =?d

32. Quadratic Formula
b±[vb²-4ac]/2a
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Opens down
T1 * r^(n-1)

33. When you reverse FOIL - the term that needs to add out is the _____
2(pi)r(r+h)
Bh
y = k/x
Middle term

34. How do you find the nth term of an arithmetic sequence?
(x+y)(x-y)
T1 + (n-1)d
Middle term
(pi)r^2

35. Radius (Radii)
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.
Sum of terms/number of terms
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.
A segment connecting the center of a circle to any point on the circle

36. What is the factored version of x² + 2xy + y² ?
A=bh
A+b
1/2bh
(x+y)²

37. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
x²-y²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

38. 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.
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

39. Perimeter of polygon
Sum of the lengths of the sides
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.
x°/360 times (2 pi r) - where x is the degrees in the angle

40. Diameter
Probability A * Probability B
The distance across the circle through the center of the circle.The diameter is twice the radius.
1/2bh
Part of a circle connecting two points on the circle.

41. What is the unfactored version of x²-y² ?
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.
4/3pir^3
(a+b)(a²-ab+b²)
(x+y)(x-y)

42. Perimeter of rectangle
2l+2w
(0 -0)
Ac+ad+bc+bd
2Length + 2width [or (length + width) x 2]

43. What is the area of a sector?
(n degrees/360) * (pi)r^2
x°/360 times (?r²) - where x is the degrees in the angle
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
N x M

44. Perimeter of a square
Lwh
Probability A * Probability B
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.
4s (where s = length of a side)

45. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Opens up
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.

46. Area of Trapezoid
1/1
y = kx
The average - mean - median - or mode.
1/2 h (b1 + b2)

47. In intersecting lines - opposite angles are _____.
(n/2) * (t1+tn)
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.
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.
Equal

48. a²+2ab+b²
An ange whose vertex is the center of the circle
T1 * r^(n-1)/(r-1)
(a+b)²
y2-y1/x2-x1

49. a² - b² is equal to
(a+b)(a-b)
(n degrees/360) * 2(pi)r
A segment connecting the center of a circle to any point on the circle
(a+b)²

50. Area of a triangle
½(base x height) [or (base x height)÷2]
?d OR 2?r
Sum of terms/number of terms
4pir^2