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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 v2 =
The set of points which are all the same distance (the radius) from a certain point (the center).
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.
1.4
The distance from one point on the circle to another point on the circle.

2. What'S the most important thing to remember about charts you'll see on the GRE?
2pir^2 + 2pir*h
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.
1/1
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. a²+2ab+b²
(a+b)²
Arrangements - orders - schedules - or lists.
The total # of possible outcomes.
Middle term

4. What is the circumference of a circle?
y = k/x
2(pi)r
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.
(n degrees/360) * (pi)r^2

5. What is the sum of the inside angles of an n-sided polygon?
Sqr( x2 -x1) + (y2- y1)
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'.
(n-2)180
Total distance/total time

6. If something is certain to happen - how is the probability of this event expressed mathematically?
2lw+2lh+2wh
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.
1/1
An ange whose vertex is the center of the circle

7. Slope
Sum of terms/number of terms
(y2-y1)/(x2-x1)
b±[vb²-4ac]/2a
(pi)r^2

8. Area of a circle
2(pi)r(r+h)
?r²
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)(a+b)

9. Point-Slope form
2x2x2x5x5
y-y1=m(x-x1)
N x M
A=?r2

10. In a coordinate system - what is the origin?
The four big angles are equal and the four small angles are equal
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(0 -0)
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.

11. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Probability A + Probability B
1. Given event A: A + notA = 1.
?d OR 2?r
(y2-y1)/(x2-x1)

12. (a+b)(a-b)=
Lwh
1.4
A²-b²
2l+2w

13. For a bell curve - what three terms might be used to describe the number in the middle?
The average - mean - median - or mode.
(pi)r^2(h)
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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

14. What is the point-slope form?
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.
(y-y1)=m(x-x1)
2 pi r
?d OR 2?r

15. When you reverse FOIL - the term that needs to multiply out is the _____
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.
4/3pir^3
Last term
y2-y1/x2-x1

16. Circle
Last term
Groups - teams - or committees.
The set of points which are all the same distance (the radius) from a certain point (the center).
(a-b)(a²+ab+b²)

17. Define the formula for calculating slope.
(a-b)²
x²-y²
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

18. Rough est. of v3 =
x°/360 times (?r²) - where x is the degrees in the angle
1.7
y = kx
Pi*r^2

19. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Pi*d
2lw+2lh+2wh

20. x^-a =
(0 -0)
S^2
y-y1=m(x-x1)
1/x^a

21. Chord
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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 distance from one point on the circle to another point on the circle.
Pi*d

22. a³-b³
(a-b)(a²+ab+b²)
2 pi r
Probability A * Probability B
1.7

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

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

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25. Perimeter of polygon
1. Given event A: A + notA = 1.
1/1
Sum of the lengths of the sides
(a-b)(a+b)

26. Perimeter of a rectangle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
2Length + 2width [or (length + width) x 2]

27. What is the formula for the diagonal of any square?
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.
C =?d
The four big angles are equal and the four small angles are equal
S*v2

28. Area of Rectangle
2Length + 2width [or (length + width) x 2]
Lw
y = kx
Pi*r^2

29. What is the factored version of x² + 2xy + y² ?
(x+y)²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(x-y)²
Part of a circle connecting two points on the circle.

30. What is the surface area of a cylinder?
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
Pi*d
T1 + (n-1)d
2(pi)r(r+h)

31. In intersecting lines - opposite angles are _____.
Equal
y = k/x
S² - where s = length of a side
2pir^2 + 2pir*h

32. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
Sum of terms/number of terms
Middle term
2pir^2 + 2pir*h

33. 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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34. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
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.
Lwh
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.

35. What is the area of a solid rectangle?
4s
2(lw+wh+lh)
Ac+ad+bc+bd
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.

36. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
Less
N x M
2(lw+wh+lh)
1/2 h (b1 + b2)

37. Area of Parallelogram
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.
Sum of terms/number of terms
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Bh

38. Explain the special properties of zero.
1. Given event A: A + notA = 1.
1/x^a
1/2bh
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.

39. How do you find the midpoint?
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.
Total distance/total time
Bh
(x1+x2)/2 - (y1+y2)/2

40. Define the range of a set of numbers.
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.
Part of a circle connecting two points 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.
1/x^a

41. In a parabola - if the first term is positive - the parabola ________.
½(base x height) [or (base x height)÷2]
S² - where s = length of a side
Opens up
½(b1 +b2) x h [or (b1 +b2) x h÷2]

42. 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
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.
x°/360 times (?r²) - where x is the degrees in the angle
C =?d

43. When you reverse FOIL - the term that needs to add out is the _____
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Sum of terms/number of terms
A=bh
Middle term

44. List two odd behaviors of exponents
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
A=?r2
T1 * r^(n-1)

45. Area of a trapezoid
1/1
A=bh
Groups - teams - or committees.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

46. What is the area of a triangle?
2 pi r
1/2bh
Opens up
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

47. Surface Area of Cylinder
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
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.
2pir^2 + 2pir*h
Sqr( x2 -x1) + (y2- y1)

48. What do combination problems usually ask for?
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)r^2
Groups - teams - or committees.
2lw+2lh+2wh

49. The length of one side of any triangle is ____ than the sum of the other two sides.
2lw+2lh+2wh
Arrangements - orders - schedules - or lists.
Less
½(b1 +b2) x h [or (b1 +b2) x h÷2]

50. What is a 'Right isosceles' triangle?
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.
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.
1/3pir^2*h
S^2