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GRE Math 2

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

2. a²+2ab+b²
(a+b)²
(a+b)(a-b)
A=bh
A segment connecting the center of a circle to any point on the circle

3. How do you find the nth term of an arithmetic sequence?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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 formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
T1 + (n-1)d

4. Define the mode of a set of numbers.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(0 -0)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

5. Surface Area of Cylinder
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.
Groups - teams - or committees.
The distance from one point on the circle to another point on the circle.
2pir^2 + 2pir*h

6. What is the sum of the inside angles of an n-sided polygon?
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.
(n-2)180
The four big angles are equal and the four small angles are equal
y = kx

7. What do combination problems usually ask for?
(pi)r^2
Ac+ad+bc+bd
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Groups - teams - or committees.

8. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 + (n-1)d
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

9. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
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
(0 -0)
Last term
Probability A + Probability B

10. Volume of pyramid
(a-b)(a+b)
(y2-y1)/(x2-x1)
1/3Bh
4s (where s = length of a side)

11. What'S the most important thing to remember about charts you'll see on the GRE?
y = kx
2(lw+wh+lh)
1/2bh
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.

12. Volume of Cylinder
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/x^a
(y-y1)=m(x-x1)
Pir^2h

13. a²-2ab+b²
Opens up
(a-b)²
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.
2x2x2x5x5

14. What is an 'equilateral' triangle?
(a-b)²
x°/360 times (?r²) - where x is the degrees in the angle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Arrangements - orders - schedules - or lists.

15. What is the unfactored version of (x+y)² ?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x² + 2xy + y²
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
A=bh

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

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17. Volume of Cone
4pir^2
Not necessarily. This is a trick question - because x could be either positive or negative.
1/3pir^2*h
T1 * r^(n-1)

18. The length of one side of any triangle is ____ than the sum of the other two sides.
2 pi r
T1 + (n-1)d
x°/360 times (2 pi r) - where x is the degrees in the angle
Less

19. What is the formula for the diagonal of any square?
S*v2
x²-y²
(n-2)180
4s (where s = length of a side)

20. What is the average speed?
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.
2l+2w
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.
Total distance/total time

21. Define the 'Third side' rule for triangles

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22. What is the area of a sector?
(pi)r^2
(n degrees/360) * (pi)r^2
(a-b)(a²+ab+b²)
Pir^2h

23. 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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24. a²-b²
Lwh
Pir^2h
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-b)(a+b)

25. What is the side ratio for a 30:60:90 triangle?
1/x^a
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Opens down

26. What is the factored version of (x+y)(x-y) ?
4s (where s = length of a side)
x°/360 times (2 pi r) - where x is the degrees in the angle
x²-y²
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.

27. How do you find the nth term of a geometric sequence?
(a-b)²
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.
T1 * r^(n-1)
Lw

28. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
4s
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.
Probability A + Probability B
(a-b)(a+b)

29. perimeter of square
Groups - teams - or committees.
4s
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.
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.

30. What is the probability?
(x1+x2)/2 - (y1+y2)/2
T1 + (n-1)d
Between 0 and 1.
Number of desired outcomes/number of total outcomes

31. Slope
?d OR 2?r
(y2-y1)/(x2-x1)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

32. Quadratic Formula
1/x^a
b±[vb²-4ac]/2a
Pi*d
2pir^2 + 2pir*h

33. What is the factored version of x² + 2xy + y² ?
(a+b)(a-b)
(x+y)²
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.
Total distance/total time

34. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
Ac+ad+bc+bd
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.
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.

35. Surface Area of Sphere
4pir^2
2pir^2 + 2pir*h
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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. Rough est. of v3 =
S^2
1.7
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

37. How do you calculate the percentage of change?
4pir^2
Percentage Change = Difference/Original * 100
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

38. a³+b³
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
T1 * r^(n-1)
(a+b)(a²-ab+b²)

39. Does order matter for a permutation? How about for a combination?
1/2bh
Part of a circle connecting two points on the circle.
Order does matter for a permutation - but does not matter for a combination.
Bh

40. How do you calculate a diagonal inside a 3-dimensional rectangular box?
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.
(a-b)(a+b)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(n degrees/360) * (pi)r^2

41. What is the 'Third side' rule for triangles?
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 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 average - mean - median - or mode.
The four big angles are equal and the four small angles are equal

42. Circumference of a circle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
?d OR 2?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.
y-y1=m(x-x1)

43. If x² = 144 - does v144 = x?
(0 -0)
Probability A + Probability B
Not necessarily. This is a trick question - because x could be either positive or negative.
1/x^a

44. What is the point-slope form?
(y-y1)=m(x-x1)
1.4
Sum of terms/number of terms
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.

45. What is the area of a triangle?
y = k/x
1/2bh
The distance across the circle through the center of the circle.The diameter is twice the radius.
Sum of the lengths of the sides

46. What do permutation problems often ask for?
(n degrees/360) * 2(pi)r
Arrangements - orders - schedules - or lists.
x²-y²
½(b1 +b2) x h [or (b1 +b2) x h÷2]

47. Circumference of a circle using radius
2x2x2x5x5
(a+b)(a²-ab+b²)
Number of desired outcomes/number of total outcomes
2pi*r

48. In a coordinate system - identify the quadrants and describe their location.
Groups - teams - or committees.
½(base x height) [or (base x height)÷2]
A segment connecting the center of a circle to any point on the circle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

49. Perimeter (circumference) of a circle
(pi)r^2
?d OR 2?r
2 pi r
(a-b)(a²+ab+b²)

50. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
The four big angles are equal and the four small angles are equal
Percentage Change = Difference/Original * 100
(a-b)(a+b)

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GRE Math 2

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