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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 is the unfactored version of (x+y)² ?
The total # of possible outcomes.
Opens up
2(pi)r(r+h)
x² + 2xy + y²

2. Point-Slope form
Sum of terms/number of terms
Pir^2h
4pir^2
y-y1=m(x-x1)

3. In intersecting lines - opposite angles are _____.
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.
Equal
4/3pir^3
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'.

4. Circumference of a circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
?d OR 2?r
Part of a circle connecting two points on the circle.
S^2

5. Central Angle
C =?d
An ange whose vertex is the center of the circle
4s
(x+y)(x-y)

6. What is the unfactored version of (x-y)² ?
Sum of the lengths of the sides
x² + 2xy + y²
x² -2xy + y²
Equal

7. What is the factored version of x² + 2xy + y² ?
2(pi)r(r+h)
(x+y)²
(y-y1)=m(x-x1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

8. Volume of prism
Equal
Bh
y = kx
T1 * r^(n-1)

9. In a parabola - if the first term is positive - the parabola ________.
Sum of the lengths of the sides
Arrangements - orders - schedules - or lists.
Opens up
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.

10. If something is certain to happen - how is the probability of this event expressed mathematically?
(x1+x2)/2 - (y1+y2)/2
1/3Bh
1/1
The four big angles are equal and the four small angles are equal

11. What is the 'distributive law'?
1
S*v2
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 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.

12. What is the area of a circle?
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y2-y1/x2-x1
(pi)r^2

13. What is the area of a cylinder?
2(pi)r(r+h)
The total # of possible outcomes.
Lw
(pi)r^2(h)

14. What do permutation problems often ask for?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Arrangements - orders - schedules - or lists.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The average - mean - median - or mode.

15. Area of Triangle
Order does matter for a permutation - but does not matter for a combination.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/2bh
Less

16. The probability of an event happening and the probability of an event NOT happening must add up to what number?
(pi)r^2
A=?r2
Between 0 and 1.
1. Given event A: A + notA = 1.

17. Perimeter of rectangle
1.7
2l+2w
2(pi)r
Percentage Change = Difference/Original * 100

18. 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.
The four big angles are equal and the four small angles are equal
½(b1 +b2) x h [or (b1 +b2) x h÷2]
?r²

19. 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.
Less
(a+b)(a-b)
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.

20. Rough est. of v2 =
1.4
Groups - teams - or committees.
1/2bh
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.

21. To divide powers with the same base...
2x2x2x5x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pi*r^2

22. Area of a circle
2pi*r
?r²
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.
S*v2

23. Area of Rectangle
Probability A + Probability B
Lw
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

24. How do you calculate the surface area of a rectangular box?
x²-y²
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.
?d OR 2?r
2pir^2 + 2pir*h

25. Define 'proportionate' values
1/x^a
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(n-2)180
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.

26. What is the side ratio for a Right Isosceles triangle?
2(lw+wh+lh)
S² - where s = length of a side
(a+b)(a-b)
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)
2(lw+wh+lh)
A=?r2
Probability A * Probability B
½(b1 +b2) x h [or (b1 +b2) x h÷2]

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

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29. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
2(pi)r(r+h)
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.
Percentage Change = Difference/Original * 100

30. Area of Square
1.7
Lwh
S^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.

31. What is the factored version of (x+y)(x-y) ?
Part of a circle connecting two points on the circle.
(x1+x2)/2 - (y1+y2)/2
x²-y²
A+b

32. What number goes on the bottom of a probability fraction?
T1 * r^(n-1)/(r-1)
The total # of possible outcomes.
(x+y)²
The average - mean - median - or mode.

33. Area of rectangle - square - parallelogram
T1 * r^(n-1)
(n-2)180
A=bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

34. Arc
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1/3Bh
Part of a circle connecting two points on the circle.
1

35. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
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.
Sum of the lengths of the sides
A=bh

36. Area of a sector
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.
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.
x°/360 times (?r²) - where x is the degrees in the angle

37. What is the probability?
Ac+ad+bc+bd
Sum of the lengths of the sides
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.
Number of desired outcomes/number of total outcomes

38. Circumference Formula
Last term
1.7
C =?d
1/2 h (b1 + b2)

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

40. Circle
(x+y)²
1
The set of points which are all the same distance (the radius) from a certain point (the center).
Not necessarily. This is a trick question - because x could be either positive or negative.

41. How do you solve a permutation?
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
Sum of terms/number of terms
1/3Bh
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.

42. Radius (Radii)
Ac+ad+bc+bd
A segment connecting the center of a circle to any point on the circle
Sqr( x2 -x1) + (y2- y1)
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

43. Area of Parallelogram
Ac+ad+bc+bd
Lw
1/x^a
Bh

44. Define the range of a set of numbers.
Negative
1/2bh
(a+b)(a-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.

45. What is the surface area of a cylinder?
A=bh
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.
2(pi)r(r+h)
A²-b²

46. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
b±[vb²-4ac]/2a
1/x^a
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Probability A + Probability B

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

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48. What is the volume of a cylinder?
Not necessarily. This is a trick question - because x could be either positive or negative.
(pi)r^2(h)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

49. Rough est. of v1 =
1/2bh
Negative
1
1. Given event A: A + notA = 1.

50. Explain the difference between a digit and a number.

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