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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 combination problems usually ask for?
x²-y²
Groups - teams - or committees.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Probability A * Probability B

2. Area of Circles
The total # of possible outcomes.
1/3Bh
A=?r2
T1 * r^(n-1)/(r-1)

3. Area of Circle
x²-y²
An ange whose vertex is the center of the circle
Pi*r^2
Sum of terms/number of terms

4. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
Less
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.
2x2x2x5x5

5. Perimeter (circumference) of a circle
Opens down
An ange whose vertex is the center of the circle
Percentage Change = Difference/Original * 100
2 pi r

6. What is the 'Third side' rule for triangles?
2l+2w
b±[vb²-4ac]/2a
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.
T1 * r^(n-1)/(r-1)

7. If x² = 144 - does v144 = x?
1/2bh
Equal
Not necessarily. This is a trick question - because x could be either positive or negative.
1/3Bh

8. x^a * x^b = x^__
The total # of possible outcomes.
x°/360 times (?r²) - where x is the degrees in the angle
A+b
Pi*d

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

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10. In a coordinate system - what is the origin?
(a+b)²
Pir^2h
(0 -0)
Between 0 and 1.

11. How do you find the sum of a geometric sequence?
1
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.
2(lw+wh+lh)
T1 * r^(n-1)/(r-1)

12. Perimeter of a square
4s (where s = length of a side)
A=bh
(a-b)(a+b)
Lwh

13. Point-Slope form
y-y1=m(x-x1)
x²-y²
A=bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

14. a³+b³
(a+b)(a²-ab+b²)
?r²
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 set of points which are all the same distance (the radius) from a certain point (the center).

15. Circumference of a circle using radius
A=bh
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.
2pi*r
(n degrees/360) * 2(pi)r

16. a²+2ab+b²
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
A=bh
(a+b)²
y-y1=m(x-x1)

17. Surface Area of Cylinder
2pir^2 + 2pir*h
The distance from one point on the circle to another point on the circle.
1
(x-y)²

18. Define the range of a set of numbers.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
(a+b)²
Between 0 and 1.

19. Perimeter of a rectangle
A+b
2Length + 2width [or (length + width) x 2]
1/2bh
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

20. List two odd behaviors of exponents
Opens up
Not necessarily. This is a trick question - because x could be either positive or negative.
The total # of possible outcomes.
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.

21. Area of Triangle
1/x^a
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.
1/1
1/2bh

22. What is the area of a sector?
2(pi)r(r+h)
(n degrees/360) * (pi)r^2
2pi*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.

23. Diameter
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The distance across the circle through the center of the circle.The diameter is twice the radius.
x°/360 times (2 pi r) - where x is the degrees in the angle

24. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
2(pi)r(r+h)
(n degrees/360) * 2(pi)r
Opens down

25. Circumference of cirlce using diameter
S² - where s = length of a side
Pi*d
(y2-y1)/(x2-x1)
Sum of terms/number of terms

26. What is the side ratio for a Right Isosceles triangle?
A²-b²
T1 + (n-1)d
A segment connecting the center of a circle to any point on the circle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

27. How do you calculate the probability of two events in a row? (Probability of A and B)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Probability A * Probability B
2lw+2lh+2wh
1. Given event A: A + notA = 1.

28. For a bell curve - what three terms might be used to describe the number in the middle?
(x1+x2)/2 - (y1+y2)/2
The average - mean - median - or mode.
x² -2xy + y²
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.

29. What is the area of a solid rectangle?
T1 * r^(n-1)
(x+y)²
2(lw+wh+lh)
(x1+x2)/2 - (y1+y2)/2

30. Define the mode of a set of numbers.
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.
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.
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.
Total distance/total time

31. Quadratic Formula
(n/2) * (t1+tn)
b±[vb²-4ac]/2a
S*v2
Sum of terms/number of terms

32. Volume of Cylinder
Sum of the lengths of the sides
Pir^2h
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

33. What is inversely proportional?
N x M
y = k/x
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.
2x2x2x5x5

34. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Sum of the lengths of the sides
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.
(y2-y1)/(x2-x1)
Probability A + Probability B

35. Area of Trapezoid
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.
1/2 h (b1 + b2)
2lw+2lh+2wh
The average - mean - median - or mode.

36. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
½(base x height) [or (base x height)÷2]
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.
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.

37. Rough est. of v2 =
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4s
1.4
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.

38. What is the volume of a cylinder?
(n degrees/360) * 2(pi)r
4/3pir^3
(pi)r^2(h)
T1 * r^(n-1)/(r-1)

39. (a+b)(c+d)
Ac+ad+bc+bd
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)
y2-y1/x2-x1

40. What is the average?
(0 -0)
Sum of terms/number of terms
(n/2) * (t1+tn)
Pi*d

41. What is the distance formula?
(x+y)²
1/2bh
Sqr( x2 -x1) + (y2- y1)
4pir^2

42. What is the unfactored version of x²-y² ?
An ange whose vertex is the center of the circle
(x+y)(x-y)
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.
(x1+x2)/2 - (y1+y2)/2

43. What is directly proportional?
y = kx
Percentage Change = Difference/Original * 100
4/3pir^3
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.

44. Sector
(a-b)(a²+ab+b²)
The set of points which are all the same distance (the radius) from a certain point (the center).
A+b
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.

45. a²-b²
x²-y²
4s (where s = length of a side)
(a-b)(a+b)
Lwh

46. How do you find the nth term of an arithmetic sequence?
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 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.
T1 + (n-1)d
Pir^2h

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

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48. What is the unfactored version of (x-y)² ?
x² -2xy + y²
Bh
b±[vb²-4ac]/2a
T1 * r^(n-1)/(r-1)

49. Rough est. of v3 =
Groups - teams - or committees.
1.7
Opens up
Last term

50. When you reverse FOIL - the term that needs to add out is the _____
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(pi)r^2(h)
Part of a circle connecting two points on the circle.
Middle term