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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. Area of Parallelogram
Bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1.7
4s (where s = length of a side)

2. What is inversely proportional?
(x+y)²
Order does matter for a permutation - but does not matter for a combination.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y = k/x

3. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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=bh
C =?d
1/3Bh

4. Area of Triangle
x²-y²
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values
Bh
1/2bh

5. Surface Area of Sphere
x² + 2xy + y²
4pir^2
y = kx
The distance from one point on the circle to another point on the circle.

6. When you reverse FOIL - the term that needs to add out is the _____
N x M
Middle term
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.
x²-y²

7. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
b±[vb²-4ac]/2a
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 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.

8. What is the equation of a line?

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9. x^-a =
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.
Between 0 and 1.
1/x^a
4s (where s = length of a side)

10. What number goes on the bottom of a probability fraction?
(x1+x2)/2 - (y1+y2)/2
The total # of possible outcomes.
1/x^a
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. If x² = 144 - does v144 = x?
?d OR 2?r
y = k/x
(x+y)(x-y)
Not necessarily. This is a trick question - because x could be either positive or negative.

12. What do combination problems usually ask for?
Less
Groups - teams - or committees.
Opens down
(a+b)²

13. What is the average?
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.
2pir^2 + 2pir*h
T1 + (n-1)d
Sum of terms/number of terms

14. Slope
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(y2-y1)/(x2-x1)
4s
Pi*r^2

15. Area of a triangle
½(base x height) [or (base x height)÷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.
Pi*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.

16. Diameter
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.
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'.
The distance across the circle through the center of the circle.The diameter is twice the radius.

17. Rough est. of v1 =
1
S*v2
½(base x height) [or (base x height)÷2]
2x2x2x5x5

18. Explain the special properties of zero.
2(lw+wh+lh)
(n degrees/360) * 2(pi)r
½(b1 +b2) x h [or (b1 +b2) x h÷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.

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

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20. What is the unfactored version of (x-y)² ?
x² -2xy + y²
y2-y1/x2-x1
1/2bh
(pi)r^2

21. What are the side ratios for a 30:60:90 triangle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
An ange whose vertex is the center of the circle
The set of points which are all the same distance (the radius) from a certain point (the center).

22. (a+b)(c+d)
x² + 2xy + y²
(a-b)(a²+ab+b²)
x°/360 times (2 pi r) - where x is the degrees in the angle
Ac+ad+bc+bd

23. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
(pi)r^2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
N x M
1.4

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

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25. Define the formula for calculating slope.
The four big angles are equal and the four small angles are equal
Probability A + Probability B
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

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

27. Circumference of a circle
?d OR 2?r
Probability A * Probability B
4/3pir^3
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.

28. Area of Square
Less
(n/2) * (t1+tn)
S^2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

29. What is the point-slope form?
Bh
2 pi r
(y-y1)=m(x-x1)
The four big angles are equal and the four small angles are equal

30. What is the formula for the diagonal of any square?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
S*v2
The distance from one point on the circle to another point on the circle.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

31. What'S the most important thing to remember about charts you'll see on the GRE?
Arrangements - orders - schedules - or lists.
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.
2l+2w
(a+b)²

32. Point-Slope form
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
y-y1=m(x-x1)
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

33. What is the circumference of a circle?
Bh
(x+y)(x-y)
2(pi)r
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.

34. Quadratic Formula
b±[vb²-4ac]/2a
The distance from one point on the circle to another point on the circle.
The set of points which are all the same distance (the radius) from a certain point (the center).
Bh

35. What is the factored version of (x+y)(x-y) ?
Lw
y-y1=m(x-x1)
x²-y²
T1 * r^(n-1)/(r-1)

36. Sector
(a-b)(a²+ab+b²)
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.
1/2bh
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.

37. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
The distance across the circle through the center of the circle.The diameter is twice the radius.
2pir^2 + 2pir*h
Groups - teams - or committees.

38. In a coordinate system - what is the origin?
1.7
(0 -0)
Sum of terms/number of terms
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

39. What do permutation problems often ask for?
b±[vb²-4ac]/2a
1/2bh
Arrangements - orders - schedules - or lists.
The total # of possible outcomes.

40. perimeter of square
Equal
4s
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.
1/2bh

41. What is the unfactored version of x²-y² ?
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.
(x+y)(x-y)
Lwh
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.

42. How do you find the midpoint?
Part of a circle connecting two points on the circle.
2(pi)r
(x1+x2)/2 - (y1+y2)/2
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

43. Perimeter of a rectangle
b±[vb²-4ac]/2a
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.
y2-y1/x2-x1
2Length + 2width [or (length + width) x 2]

44. How do you find the nth term of a geometric sequence?
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.
T1 * r^(n-1)
Order does matter for a permutation - but does not matter for a combination.
Probability A + Probability B

45. Area of a trapezoid
The four big angles are equal and the four small angles are equal
y2-y1/x2-x1
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(a+b)²

46. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-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.
Sum of the lengths of the sides
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.

47. Area of Circle
Pi*r^2
2(lw+wh+lh)
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.
(a+b)(a²-ab+b²)

48. 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.
1.7
4s (where s = length of a side)
The distance from one point on the circle to another point on the circle.

49. Circumference Formula
2Length + 2width [or (length + width) x 2]
C =?d
(y2-y1)/(x2-x1)
A+b

50. a³+b³
4s
Last term
(a+b)(a²-ab+b²)
The distance from one point on the circle to another point on the circle.