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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 area of a triangle?
Ac+ad+bc+bd
1/2bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
T1 + (n-1)d

2. a²-b²
(a-b)(a²+ab+b²)
(a-b)(a+b)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

3. Volume of Cone
1/3Bh
2(lw+wh+lh)
1/3pir^2*h
Sqr( x2 -x1) + (y2- y1)

4. What is the area of a cylinder?
A²-b²
2(lw+wh+lh)
2(pi)r(r+h)
4s (where s = length of a side)

5. Point-Slope form
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
y-y1=m(x-x1)
T1 * r^(n-1)/(r-1)
Ac+ad+bc+bd

6. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
1.7
y = kx
Order does matter for a permutation - but does not matter for a combination.

7. Volume of sphere
Negative
(a+b)²
Pir^2h
4/3pir^3

8. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
Pir^2h
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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

9. Perimeter of polygon
Sum of the lengths of the sides
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
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
Probability A * Probability B

10. Area of a square
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
S² - where s = length of a side
Equal
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.

11. How do you multiply powers with the same base?
(a+b)(a²-ab+b²)
Probability A * Probability B
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

12. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
The set of points which are all the same distance (the radius) from a certain point (the center).
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

13. Perimeter of a square
?d OR 2?r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s (where s = length of a side)
1/2bh

14. If x² = 144 - does v144 = x?
(a+b)(a²-ab+b²)
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

15. Rough est. of v3 =
1.7
1/3Bh
y2-y1/x2-x1
2x2x2x5x5

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

17. What is the factored version of x² -2xy + y² ?
Order does matter for a permutation - but does not matter for a combination.
A=?r2
(x-y)²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

18. What is the unfactored version of x²-y² ?
(x+y)(x-y)
Opens down
?d OR 2?r
2pi*r

19. Area of Parallelogram
(a+b)(a-b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Bh
x°/360 times (2 pi r) - where x is the degrees in the angle

20. Surface Area of rectangular prism
(x+y)(x-y)
A=bh
2lw+2lh+2wh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

21. Rough est. of v1 =
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1
Pir^2h

22. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
Pi*r^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.
(a+b)(a²-ab+b²)

23. Define a factorial of a number - and how it is written.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The distance across the circle through the center of the circle.The diameter is twice the radius.
Order does matter for a permutation - but does not matter for a combination.
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.

24. Perimeter of rectangle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2l+2w
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 segment connecting the center of a circle to any point on the circle

25. What is the average speed?
(x+y)²
Total distance/total time
Arrangements - orders - schedules - or lists.
(x1+x2)/2 - (y1+y2)/2

26. What is the formula for the diagonal of any square?
S*v2
The distance from one point on the circle to another point on the circle.
2(pi)r
Middle term

27. What do permutation problems often ask for?
Arrangements - orders - schedules - or lists.
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.
The set of points which are all the same distance (the radius) from a certain point (the center).
1. Given event A: A + notA = 1.

28. How do you find the nth term of a geometric sequence?
1. Given event A: A + notA = 1.
C =?d
x² -2xy + y²
T1 * r^(n-1)

29. a² - b² is equal to
(a+b)(a-b)
2 pi r
2(pi)r
S^2

30. Lines reflected over the x or y axis have ____ slopes.
(a+b)²
Negative
Probability A * Probability B
y = kx

31. If something is possible but not certain - what is the numeric range of probability of it happening?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Between 0 and 1.
(a+b)(a-b)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

32. What'S the most important thing to remember about charts you'll see on the GRE?
S*v2
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.
Groups - teams - or committees.
(pi)r^2

33. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
(n/2) * (t1+tn)
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.
Between 0 and 1.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. a³+b³
An ange whose vertex is the center of the circle
(a+b)(a²-ab+b²)
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

35. What is the area of a circle?
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)r^2
Pir^2h
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.

36. Slope
2(pi)r(r+h)
Groups - teams - or committees.
(y2-y1)/(x2-x1)
A=bh

37. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
Probability A * Probability B
1.4
4s (where s = length of a side)

38. Surface Area of Sphere
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.
(x1+x2)/2 - (y1+y2)/2
Lw
4pir^2

39. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
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.

40. What is the distance formula?
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.
?r²
(x+y)(x-y)
Sqr( x2 -x1) + (y2- y1)

41. In a coordinate system - what is the origin?
An ange whose vertex is the center of the circle
(0 -0)
A segment connecting the center of a circle to any point on the circle
y2-y1/x2-x1

42. In a parabola - if the first term is positive - the parabola ________.
A segment connecting the center of a circle to any point on the circle
Opens up
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1.4

43. a²-2ab+b²
1.4
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
S*v2
(a-b)²

44. Volume of pyramid
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.
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.
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
1/3Bh

45. Perimeter (circumference) of a circle
2 pi r
T1 * r^(n-1)
The distance from one point on the circle to another point on the circle.
1/2bh

46. Circle
Groups - teams - or committees.
The set of points which are all the same distance (the radius) from a certain point (the center).
y = kx
T1 + (n-1)d

47. Area of a triangle
½(base x height) [or (base x height)÷2]
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.
Probability A + Probability B
The average - mean - median - or mode.

48. How do you calculate the percentage of change?
2pir^2 + 2pir*h
Pi*r^2
Percentage Change = Difference/Original * 100
x² + 2xy + y²

49. How do you find the slope?
y2-y1/x2-x1
y-y1=m(x-x1)
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.
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

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