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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 'distributive law'?
1/1
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.
Probability A * Probability B
An ange whose vertex is the center of the circle

2. Rough est. of v1 =
1
Pi*d
(x+y)(x-y)
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.

3. a²+2ab+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.
T1 * r^(n-1)/(r-1)
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
(a+b)²

4. Define 'proportionate' values
(a-b)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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
x² + 2xy + y²

5. Area of Circle
Pi*r^2
?r²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2(pi)r(r+h)

6. Volume of Cylinder
An ange whose vertex is the center of the circle
Pir^2h
Between 0 and 1.
Sum of the lengths of the sides

7. Circumference Formula
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
C =?d
Last term

8. Volume of sphere
2(lw+wh+lh)
4/3pir^3
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
Lw

9. What is the length of an arc?
(n degrees/360) * 2(pi)r
Sum of the lengths of the sides
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

10. a²-b²
(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.
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.
N x M

11. Central Angle
A segment connecting the center of a circle to any point on the circle
Ac+ad+bc+bd
4pir^2
An ange whose vertex is the center of the circle

12. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
y2-y1/x2-x1
1/2 h (b1 + b2)
2pi*r

13. Area of a trapezoid
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Percentage Change = Difference/Original * 100

14. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
4s
(x+y)²
N x M
2(pi)r(r+h)

15. x^-a =
T1 + (n-1)d
(n degrees/360) * (pi)r^2
Part of a circle connecting two points on the circle.
1/x^a

16. What is the volume of a solid rectangle?
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.
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.
Lwh
(pi)r^2

17. What is the circumference of a circle?
The four big angles are equal and the four small angles are equal
2(pi)r
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
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

18. In a coordinate system - identify the quadrants and describe their location.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
y = k/x
Last term
The distance from one point on the circle to another point on the circle.

19. Arc
N x M
Part of a circle connecting two points on the circle.
A=?r2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

20. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
(n degrees/360) * (pi)r^2
(x+y)²
Lw

21. In a coordinate system - what is the origin?
Groups - teams - or committees.
(0 -0)
?r²
2(pi)r(r+h)

22. Volume of Cone
1/3pir^2*h
A²-b²
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
(a+b)²

23. Area of a triangle
Bh
½(base x height) [or (base x height)÷2]
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Middle term

24. What is the point-slope form?
(x+y)²
(y-y1)=m(x-x1)
A=bh
(x+y)(x-y)

25. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Order does matter for a permutation - but does not matter for a combination.
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.
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.

26. Sector
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.
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.
2pir^2 + 2pir*h
2(pi)r(r+h)

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

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28. What number goes on the bottom of a probability fraction?
Negative
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(x1+x2)/2 - (y1+y2)/2
The total # of possible outcomes.

29. What is the equation of a line?

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30. Does order matter for a permutation? How about for a combination?
Lw
The distance from one point on the circle to another point on the circle.
Order does matter for a permutation - but does not matter for a combination.
2(pi)r(r+h)

31. Volume of pyramid
1/3Bh
4s (where s = length of a side)
(x+y)(x-y)
The total # of possible outcomes.

32. List two odd behaviors of exponents
Ac+ad+bc+bd
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+b)²
2pir^2 + 2pir*h

33. How do you calculate a diagonal inside a 3-dimensional rectangular box?
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
?r²
1.4
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

34. 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
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.
Pi*d
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

35. How do you calculate the probability of two events in a row? (Probability of A and B)
(n/2) * (t1+tn)
Probability A * Probability B
Number of desired outcomes/number of total outcomes
The distance from one point on the circle to another point on the circle.

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

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37. How do you calculate the percentage of change?
T1 * r^(n-1)
Probability A * Probability B
(pi)r^2(h)
Percentage Change = Difference/Original * 100

38. Area of a square
Middle term
Total distance/total time
S² - where s = length of a side
Negative

39. How do you find the nth term of an arithmetic sequence?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
T1 + (n-1)d
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Pi*d

40. Area of Trapezoid
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.
1/2 h (b1 + b2)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(a+b)(a-b)

41. For a bell curve - what three terms might be used to describe the number in the middle?
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
The average - mean - median - or mode.
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 ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

42. Chord
A=bh
The distance from one point on the circle to another point on the circle.
Bh
Groups - teams - or committees.

43. Perimeter of rectangle
Between 0 and 1.
Sum of the lengths of the sides
2l+2w
A=bh

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

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45. To divide powers with the same base...
2(pi)r
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.
Lwh
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

46. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
(y-y1)=m(x-x1)
Not necessarily. This is a trick question - because x could be either positive or negative.
Arrangements - orders - schedules - or lists.

47. How do you find the slope?
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.
y2-y1/x2-x1
x² -2xy + y²
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.

48. What are the side ratios for a 30:60:90 triangle?
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.
2(lw+wh+lh)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Sqr( x2 -x1) + (y2- y1)

49. Define a factorial of a number - and how it is written.
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.
(n degrees/360) * 2(pi)r
4s
Opens up

50. When you reverse FOIL - the term that needs to multiply out is the _____
2l+2w
Arrangements - orders - schedules - or lists.
S² - where s = length of a side
Last term