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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. Rough est. of v3 =
4/3pir^3
1.7
Middle term
N x M

2. How do you find the nth term of a geometric sequence?
2l+2w
?d OR 2?r
T1 * r^(n-1)
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.

3. What is inversely proportional?
y = k/x
Arrangements - orders - schedules - or lists.
(n/2) * (t1+tn)
Bh

4. What is the volume of a solid rectangle?
Not necessarily. This is a trick question - because x could be either positive or negative.
Less
Lwh
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.

5. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
S² - where s = length of a side
The set of points which are all the same distance (the radius) from a certain point (the center).

6. What is the point-slope form?
(y-y1)=m(x-x1)
?r²
Percentage Change = Difference/Original * 100
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.

7. What is the 'distributive law'?
(a-b)(a+b)
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.
Opens down

8. Area of Rectangle
The average - mean - median - or mode.
Part of a circle connecting two points on the circle.
Lw
1. Given event A: A + notA = 1.

9. Perimeter (circumference) of a circle
2 pi r
1/3pir^2*h
Ac+ad+bc+bd
y = k/x

10. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1/2 h (b1 + b2)
(x-y)²
b±[vb²-4ac]/2a
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.

11. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

12. Area of a trapezoid
A segment connecting the center of a circle to any point on the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Sum of terms/number of terms
Not necessarily. This is a trick question - because x could be either positive or negative.

13. 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.
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.
Probability A + Probability B
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.

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

15. What is the 'Third side' rule for triangles?
y-y1=m(x-x1)
2pir^2 + 2pir*h
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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. Slope
(y2-y1)/(x2-x1)
A=?r2
N x M
Percentage Change = Difference/Original * 100

17. Explain the special properties of zero.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
Opens up
4s

18. How do you find the sum of an arithmetic sequence?
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
(0 -0)
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)

19. What is the unfactored version of x²-y² ?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
S² - where s = length of a side
1/2 h (b1 + b2)
(x+y)(x-y)

20. Sector
Number of desired outcomes/number of total 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.
The four big angles are equal and the four small angles are equal
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

21. a³-b³
(a-b)(a²+ab+b²)
(n degrees/360) * 2(pi)r
C =?d
2 pi r

22. Chord
The distance from one point on the circle to another point on the circle.
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.
Lw
Last term

23. What do permutation problems often ask for?
C =?d
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.
S^2
Arrangements - orders - schedules - or lists.

24. What'S the most important thing to remember about charts you'll see on the GRE?
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.
A=bh
Probability A + Probability B
The total # of possible outcomes.

25. Arc
(x+y)(x-y)
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.
Equal
Part of a circle connecting two points on the circle.

26. Define the 'Third side' rule for triangles

27. What are the side ratios for a 30:60:90 triangle?
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.
Between 0 and 1.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2Length + 2width [or (length + width) x 2]

28. Define a factorial of a number - and how it is written.
Sum of the lengths of the sides
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
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.

29. Volume of Cylinder
The distance from one point on the circle to another point on the circle.
Middle term
1.4
Pir^2h

30. When you reverse FOIL - the term that needs to add out is the _____
(x1+x2)/2 - (y1+y2)/2
Middle term
Pi*d
2(lw+wh+lh)

31. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
(0 -0)
(a+b)(a-b)
N x M
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

32. x^-a =
The total # of possible outcomes.
1/1
1/x^a
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

33. For a bell curve - what three terms might be used to describe the number in the middle?
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.
The average - mean - median - or mode.
(a-b)²
1/3Bh

34. What is the factored version of x² -2xy + y² ?
A segment connecting the center of a circle to any point on the circle
Middle term
(x-y)²
Number of desired outcomes/number of total outcomes

35. What is the side ratio for a Right Isosceles triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
A+b
(pi)r^2(h)

36. Area of Parallelogram
(a-b)(a²+ab+b²)
Bh
½(base x height) [or (base x height)÷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.

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

38. How do you calculate the probability of two events in a row? (Probability of A and B)
Sum of the lengths of the sides
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
4pir^2
Probability A * Probability B

39. What is the prime factorization of 200?
A²-b²
4/3pir^3
Middle term
2x2x2x5x5

40. Area of a triangle
A+b
(a+b)²
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.
½(base x height) [or (base x height)÷2]

41. In a parabola - if the first term is positive - the parabola ________.
Opens up
Negative
Probability A * Probability B
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.

42. In intersecting lines - opposite angles are _____.
(n degrees/360) * (pi)r^2
Equal
Probability A + Probability B
Sqr( x2 -x1) + (y2- y1)

43. Area of rectangle - square - parallelogram
A=bh
Sum of the lengths of the sides
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
S² - where s = length of a side

44. How do you solve a permutation?
Arrangements - orders - schedules - or lists.
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
Pi*d
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.

45. Area of Square
Number of desired outcomes/number of total outcomes
S^2
(y-y1)=m(x-x1)
Order does matter for a permutation - but does not matter for a combination.

46. Perimeter of a rectangle
1.7
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.
b±[vb²-4ac]/2a
2Length + 2width [or (length + width) x 2]

47. How do you calculate the surface area of a rectangular box?
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.
S*v2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

48. What is the length of an arc?
2l+2w
The distance from one point on the circle to another point on the circle.
Probability A + Probability B
(n degrees/360) * 2(pi)r

49. What is the circumference of a circle?
2(pi)r
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1. Given event A: A + notA = 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'.

50. a³+b³
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
(a+b)(a²-ab+b²)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
4s (where s = length of a side)