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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. How do you find the nth term of an arithmetic sequence?
N x M
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
T1 + (n-1)d
(a-b)(a²+ab+b²)

2. Rough est. of v1 =
1
2lw+2lh+2wh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1/2 h (b1 + b2)

3. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
A segment connecting the center of a circle to any point on the circle
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.
(pi)r^2(h)

4. Surface Area of rectangular prism
2lw+2lh+2wh
(x-y)²
1
Negative

5. In a coordinate system - what is the origin?
Total distance/total time
(0 -0)
Pi*r^2
(n-2)180

6. How do you calculate the probability of two events in a row? (Probability of A and B)
y = k/x
Probability A * Probability B
(x-y)²
A=bh

7. Circumference Formula
(n-2)180
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.
C =?d
b±[vb²-4ac]/2a

8. Perimeter of a rectangle
N x M
Last term
2Length + 2width [or (length + width) x 2]
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

9. How do you multiply and divide square roots?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The average - mean - median - or mode.
N x M
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

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

11. (a+b)(c+d)
Ac+ad+bc+bd
(n degrees/360) * 2(pi)r
(x+y)²
1/2 h (b1 + b2)

12. Circumference of cirlce using diameter
Opens up
Pi*d
C =?d
2(pi)r

13. What is the point-slope form?
S² - where s = length of a side
The four big angles are equal and the four small angles are equal
(pi)r^2
(y-y1)=m(x-x1)

14. Volume of Cylinder
(a-b)(a+b)
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.
Pir^2h
Number of desired outcomes/number of total outcomes

15. Area of Triangle
T1 * r^(n-1)
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.
1/2bh
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.

16. a²-2ab+b²
2(pi)r(r+h)
The average - mean - median - or mode.
T1 + (n-1)d
(a-b)²

17. 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.
1
y2-y1/x2-x1
A segment connecting the center of a circle to any point on the circle

18. What is the factored version of x² -2xy + y² ?
(x-y)²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(a-b)(a²+ab+b²)
y-y1=m(x-x1)

19. Volume of prism
C =?d
x² -2xy + y²
Bh
Order does matter for a permutation - but does not matter for a combination.

20. What is the unfactored version of (x-y)² ?
x² -2xy + y²
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.
(0 -0)
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.

21. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
1. Given event A: A + notA = 1.
1/2 h (b1 + b2)
A=?r2

22. Volume of pyramid
T1 + (n-1)d
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1
1/3Bh

23. Circumference of a circle
?d OR 2?r
Bh
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.
4/3pir^3

24. What is the probability?
Negative
4s
(x-y)²
Number of desired outcomes/number of total outcomes

25. What is a '30:60:90' triangle?
(n/2) * (t1+tn)
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

26. x^a * x^b = x^__
Bh
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.
(a+b)(a-b)
A+b

27. For a bell curve - what three terms might be used to describe the number in the middle?
Bh
The average - mean - median - or mode.
S^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.

28. List two odd behaviors of exponents
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.
(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
y2-y1/x2-x1

29. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷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.
Less
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

30. (a+b)(a-b)=
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(y2-y1)/(x2-x1)
A²-b²
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.

31. Volume of sphere
(n-2)180
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.
4/3pir^3
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

32. What is the area of a circle?
1
(pi)r^2
(a-b)(a²+ab+b²)
Order does matter for a permutation - but does not matter for a combination.

33. Area of Circle
Pi*r^2
2 pi r
Number of desired outcomes/number of total outcomes
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

34. What is the factored version of x² + 2xy + y² ?
(x+y)²
2pi*r
2(pi)r(r+h)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

35. What is the area of a triangle?
1.4
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.
1/2bh
The set of points which are all the same distance (the radius) from a certain point (the center).

36. In a parabola - if the first term is positive - the parabola ________.
y = k/x
Opens up
2x2x2x5x5
4s

37. When you reverse FOIL - the term that needs to add out is the _____
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.
x² + 2xy + y²
Middle term
1/3pir^2*h

38. How do you find the slope?
The distance across the circle through the center of the circle.The diameter is twice the radius.
Lw
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

39. How do you calculate the surface area of a rectangular box?
The average - mean - median - or mode.
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
Between 0 and 1.

40. a² - b² is equal to
4/3pir^3
Total distance/total time
(a+b)(a-b)
A²-b²

41. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
y2-y1/x2-x1
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.
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

42. Sector
Part of a circle connecting two points on the circle.
2l+2w
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 part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

43. What is the 'distributive law'?
½(base x height) [or (base x height)÷2]
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
2pir^2 + 2pir*h

44. Area of rectangle - square - parallelogram
A=bh
A segment connecting the center of a circle to any point on the circle
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.
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.

45. What is the circumference of a circle?
Negative
2(pi)r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Probability A * Probability B

46. a²+2ab+b²
(a+b)²
(y2-y1)/(x2-x1)
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.
?d OR 2?r

47. What is the 'Third side' rule for triangles?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x² + 2xy + y²
S² - where s = length of a side
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.

48. Area of a square
Sqr( x2 -x1) + (y2- y1)
Opens up
S² - where s = length of a side
Last term

49. Define the range of a set of numbers.
A segment connecting the center of a circle to any point on the circle
(x1+x2)/2 - (y1+y2)/2
2(lw+wh+lh)
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.

50. Define the 'Third side' rule for triangles