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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. Point-Slope form
1/3pir^2*h
x²-y²
A+b
y-y1=m(x-x1)

2. Volume of prism
(a+b)(a-b)
Bh
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.
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.

3. Surface Area of Sphere
Total distance/total time
x°/360 times (?r²) - where x is the degrees in the angle
(y2-y1)/(x2-x1)
4pir^2

4. How do you find the nth term of a geometric sequence?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
S*v2
T1 * r^(n-1)
1/3pir^2*h

5. Perimeter of a rectangle
N x M
2Length + 2width [or (length + width) x 2]
(a-b)(a+b)
4/3pir^3

6. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
2pi*r
The set of points which are all the same distance (the radius) from a certain point (the center).
(a-b)²
N x M

7. What is the area of a cylinder?
(x-y)²
2x2x2x5x5
2(pi)r(r+h)
4/3pir^3

8. Surface Area of Cylinder
2pir^2 + 2pir*h
T1 * r^(n-1)
x°/360 times (?r²) - where x is the degrees in the angle
(x+y)(x-y)

9. Diameter
(x-y)²
Part of a circle connecting two points on the circle.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The distance across the circle through the center of the circle.The diameter is twice the radius.

10. Volume of pyramid
1/3Bh
T1 * r^(n-1)
Bh
(x-y)²

11. What is the probability?
(n degrees/360) * (pi)r^2
Number of desired outcomes/number of total outcomes
Bh
2l+2w

12. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
S^2
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.
2pi*r

13. What is an 'equilateral' triangle?
(pi)r^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
4/3pir^3

14. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
S² - where s = length of a side
Number of desired outcomes/number of total outcomes
Bh
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.

15. How do you find the sum of a geometric sequence?
(y-y1)=m(x-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.
x²-y²
T1 * r^(n-1)/(r-1)

16. What is the unfactored version of (x-y)² ?
x² -2xy + y²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Less
T1 * r^(n-1)/(r-1)

17. How do you find the midpoint?
2 pi r
Bh
An ange whose vertex is the center of the circle
(x1+x2)/2 - (y1+y2)/2

18. Chord
(x-y)²
Sum of terms/number of terms
The distance from one point on the circle to another point on the circle.
b±[vb²-4ac]/2a

19. What is the point-slope form?
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'.
S*v2
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.
(y-y1)=m(x-x1)

20. 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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21. If something is possible but not certain - what is the numeric range of probability of it happening?
(a-b)(a+b)
2(pi)r(r+h)
1/1
Between 0 and 1.

22. What is the sum of the inside angles of an n-sided polygon?
½(base x height) [or (base x height)÷2]
2(pi)r
T1 + (n-1)d
(n-2)180

23. (a+b)(c+d)
Ac+ad+bc+bd
y = kx
The four big angles are equal and the four small angles are equal
C =?d

24. length of a sector
4pir^2
(a+b)(a²-ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
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.

25. How do you calculate the surface area of a rectangular box?
2(pi)r
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

26. Area of Circles
(0 -0)
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.
A=?r2
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.

27. Volume of sphere
4s
4/3pir^3
Equal
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

28. In a parabola - if the first term is positive - the parabola ________.
2pi*r
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Opens up
Sum of terms/number of terms

29. Quadratic Formula
2(lw+wh+lh)
b±[vb²-4ac]/2a
Sum of the lengths of the sides
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.

30. Define 'proportionate' values
An ange whose vertex is the center of the circle
1. Given event A: A + notA = 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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

31. Define the formula for calculating slope.
2Length + 2width [or (length + width) x 2]
1/3pir^2*h
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

32. Perimeter (circumference) of a circle
(y-y1)=m(x-x1)
A=?r2
2 pi r
(x1+x2)/2 - (y1+y2)/2

33. How do you calculate the percentage of change?
Negative
Percentage Change = Difference/Original * 100
1.7
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. x^-a =
1/x^a
An ange whose vertex is the center of the circle
Not necessarily. This is a trick question - because x could be either positive or negative.
(x+y)(x-y)

35. Circumference of cirlce using diameter
S*v2
Pi*d
½(base x height) [or (base x height)÷2]
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.

36. x^a * x^b = x^__
(y2-y1)/(x2-x1)
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.
A+b
Probability A * Probability B

37. In a parabola - if the first term is negative - the parabola ________.
Pi*r^2
2(pi)r(r+h)
An ange whose vertex is the center of the circle
Opens down

38. When you reverse FOIL - the term that needs to add out is the _____
Middle term
A=?r2
1. Given event A: A + notA = 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.

39. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
1.7
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.

40. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
A+b
(n degrees/360) * (pi)r^2
2(pi)r(r+h)

41. Define the range of a set of numbers.
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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 average - mean - median - or mode.

42. How do you find the slope?
2l+2w
The total # of possible outcomes.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
y2-y1/x2-x1

43. Area of a circle
Sum of the lengths of the sides
S*v2
?r²
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.

44. Explain the special properties of zero.
Pi*r^2
y = kx
(pi)r^2(h)
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.

45. What is the factored version of x² + 2xy + y² ?
S*v2
A=bh
(x+y)²
Pi*r^2

46. List two odd behaviors of exponents
Equal
(a+b)²
T1 * r^(n-1)
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.

47. a³-b³
(a-b)(a²+ab+b²)
4pir^2
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 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.

48. What is the area of a solid rectangle?
(a-b)(a+b)
2(lw+wh+lh)
1/3Bh
(0 -0)

49. Area of rectangle - square - parallelogram
2pi*r
2 pi r
Order does matter for a permutation - but does not matter for a combination.
A=bh

50. Area of a triangle
?d OR 2?r
Not necessarily. This is a trick question - because x could be either positive or negative.
½(base x height) [or (base x height)÷2]
2x2x2x5x5