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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. (a+b)(c+d)
A²-b²
Lw
x°/360 times (?r²) - where x is the degrees in the angle
Ac+ad+bc+bd

2. Area of a sector
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.
2(lw+wh+lh)
x°/360 times (?r²) - where x is the degrees in the angle
Pi*d

3. What is an 'equilateral' triangle?
Arrangements - orders - schedules - or lists.
Middle term
Groups - teams - or committees.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

4. Rough est. of v1 =
T1 * r^(n-1)
1/2bh
(y2-y1)/(x2-x1)
1

5. What is the average?
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.
Sum of terms/number of terms
Probability A + Probability B
Part of a circle connecting two points on the circle.

6. What is the distance formula?
1/2bh
Sqr( x2 -x1) + (y2- y1)
2x2x2x5x5
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.

7. Volume of Cylinder
Negative
Pir^2h
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.
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'.

8. How do you find the sum of an arithmetic sequence?
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.
(n/2) * (t1+tn)
Bh
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.

9. Surface Area of rectangular prism
2lw+2lh+2wh
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.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

10. Area of Rectangle
?r²
Lw
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.
A²-b²

11. a²-b²
?d OR 2?r
2l+2w
(a-b)(a+b)
Bh

12. When you reverse FOIL - the term that needs to add out is the _____
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.
Middle term
Probability A * Probability B
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

13. a² - b² is equal to
1/3Bh
(pi)r^2(h)
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)(a-b)

14. Perimeter (circumference) of a circle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The distance across the circle through the center of the circle.The diameter is twice the radius.
2 pi r

15. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
½(base x height) [or (base x height)÷2]
1.4
x²-y²

16. Diameter
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(y-y1)=m(x-x1)
Bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

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

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18. (a+b)(a-b)=
A²-b²
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Sqr( x2 -x1) + (y2- y1)

19. What is the volume of a solid rectangle?
1. Given event A: A + notA = 1.
(a+b)(a²-ab+b²)
Lwh
Pi*r^2

20. Volume of sphere
4/3pir^3
(n-2)180
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1

21. Explain the special properties of zero.
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.
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.
Less
x²-y²

22. Area of rectangle - square - parallelogram
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.
Percentage Change = Difference/Original * 100
A=bh
Pi*d

23. What number goes on the bottom of a probability fraction?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2(pi)r(r+h)
The total # of possible outcomes.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

24. What is the surface area of a cylinder?
Between 0 and 1.
(x+y)(x-y)
2(pi)r(r+h)
1/2bh

25. How do you solve a permutation?
x² -2xy + y²
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 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.
2(pi)r

26. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
y2-y1/x2-x1
4s
Bh

27. What is the area of a circle?
(pi)r^2
(0 -0)
Probability A + Probability B
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.

28. What is the average speed?
½(base x height) [or (base x height)÷2]
b±[vb²-4ac]/2a
Total distance/total time
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

29. Rough est. of v3 =
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.
Percentage Change = Difference/Original * 100
S*v2
1.7

30. a³+b³
1/1
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a+b)(a²-ab+b²)
Sum of terms/number of terms

31. Area of Parallelogram
A segment connecting the center of a circle to any point on the circle
Probability A + Probability B
Bh
(pi)r^2(h)

32. What is the 'Third side' rule for triangles?
2lw+2lh+2wh
4s
Arrangements - orders - schedules - or lists.
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.

33. Perimeter of rectangle
2l+2w
1/3pir^2*h
1/1
1/2 h (b1 + b2)

34. What is the point-slope form?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
½(base x height) [or (base x height)÷2]
(y-y1)=m(x-x1)
The total # of possible outcomes.

35. Volume of Cone
1/3pir^2*h
Between 0 and 1.
Ac+ad+bc+bd
4s

36. Rough est. of v2 =
1.4
1/2bh
?r²
4s (where s = length of a side)

37. Central Angle
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)
S*v2

38. 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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39. How do you find the slope?
Sqr( x2 -x1) + (y2- y1)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
y2-y1/x2-x1
The average - mean - median - or mode.

40. Sector
T1 * r^(n-1)
Percentage Change = Difference/Original * 100
The total # of possible outcomes.
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.

41. What is inversely proportional?
The four big angles are equal and the four small angles are equal
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.
Arrangements - orders - schedules - or lists.
y = k/x

42. Point-Slope form
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.
(n/2) * (t1+tn)
y-y1=m(x-x1)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

43. What is the equation of a line?

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

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45. Perimeter of a rectangle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
An ange whose vertex is the center of the circle
2Length + 2width [or (length + width) x 2]
y2-y1/x2-x1

46. What is directly proportional?
y = kx
Lw
Opens up
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.

47. x^-a =
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.
1.4
1/3pir^2*h
1/x^a

48. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Bh
S² - where s = length of a side
A+b

49. a³-b³
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.
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)(a²+ab+b²)
A segment connecting the center of a circle to any point on the circle

50. In a coordinate system - identify the quadrants and describe their location.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
x°/360 times (2 pi r) - where x is the degrees in the angle
(y-y1)=m(x-x1)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.