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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 solid rectangle?
Lw
2(lw+wh+lh)
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
2x2x2x5x5

2. Area of a trapezoid
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ac+ad+bc+bd
2 pi r

3. If x² = 144 - does v144 = x?
y = k/x
Not necessarily. This is a trick question - because x could be either positive or negative.
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
(n/2) * (t1+tn)

4. To divide powers with the same base...
S² - where s = length of a side
The distance from one point on the circle to another point on the circle.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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

5. What is the formula for the diagonal of any square?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
S*v2

6. Slope
Equal
(y2-y1)/(x2-x1)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2l+2w

7. What is the 'distributive law'?
Opens down
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.
Bh
Pi*r^2

8. Surface Area of Sphere
2x2x2x5x5
2Length + 2width [or (length + width) x 2]
4pir^2
(n degrees/360) * 2(pi)r

9. What is the volume of a solid rectangle?
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
Lwh
Sum of terms/number of terms
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.

10. x^a * x^b = x^__
1. Given event A: A + notA = 1.
A+b
(y-y1)=m(x-x1)
Opens down

11. For a bell curve - what three terms might be used to describe the number in the middle?
4s
Groups - teams - or committees.
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 average - mean - median - or mode.

12. x^-a =
y = k/x
Pir^2h
Number of desired outcomes/number of total outcomes
1/x^a

13. Area of a square
Ac+ad+bc+bd
S² - where s = length of a side
1/3pir^2*h
1.4

14. Perimeter of rectangle
y2-y1/x2-x1
2l+2w
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 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.

15. What is the equation of a line?

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16. Lines reflected over the x or y axis have ____ slopes.
(a-b)(a²+ab+b²)
Negative
Pir^2h
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.

17. If something is possible but not certain - what is the numeric range of probability of it happening?
T1 + (n-1)d
y = kx
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.
Between 0 and 1.

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

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19. 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.
The set of points which are all the same distance (the radius) from a certain point (the center).
y = kx
?r²

20. Quadratic Formula
2(pi)r
b±[vb²-4ac]/2a
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Opens down

21. Define the formula for calculating slope.
Sum of terms/number of terms
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Total distance/total time
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.

22. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
1/2 h (b1 + b2)
2pir^2 + 2pir*h
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.

23. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Arrangements - orders - schedules - or lists.
y = kx
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

24. 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.
2Length + 2width [or (length + width) x 2]
1/3pir^2*h
(y-y1)=m(x-x1)

25. What is the side ratio for a 30:60:90 triangle?
T1 * r^(n-1)/(r-1)
(a-b)(a+b)
(x+y)²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

26. Surface Area of rectangular prism
4s
Pi*d
1/1
2lw+2lh+2wh

27. What is inversely proportional?
x°/360 times (2 pi r) - where x is the degrees in the angle
S*v2
y = k/x
(x1+x2)/2 - (y1+y2)/2

28. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
b±[vb²-4ac]/2a
½(base x height) [or (base x height)÷2]

29. Define 'proportionate' values
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
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2pir^2 + 2pir*h

30. (a+b)(a-b)=
x°/360 times (?r²) - where x is the degrees in the angle
A²-b²
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Middle term

31. Point-Slope form
y-y1=m(x-x1)
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.
(pi)r^2
Sum of terms/number of terms

32. What is the area of a cylinder?
N x M
2(pi)r(r+h)
1/3pir^2*h
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.

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

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34. What is an 'equilateral' triangle?
2 pi r
A=bh
Arrangements - orders - schedules - or lists.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

35. How do you multiply and divide square roots?
1/2bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
x°/360 times (2 pi r) - where x is the degrees in the angle
A+b

36. a³+b³
(a+b)(a²-ab+b²)
y2-y1/x2-x1
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. 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

37. 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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38. Central Angle
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
Bh
An ange whose vertex is the center of the circle
Probability A + Probability B

39. What is the prime factorization of 200?
1/3Bh
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.
2x2x2x5x5
Lwh

40. When you reverse FOIL - the term that needs to add out is the _____
Not necessarily. This is a trick question - because x could be either positive or negative.
Middle term
Total distance/total time
(n degrees/360) * (pi)r^2

41. Area of a triangle
Opens down
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.
½(base x height) [or (base x height)÷2]
1/x^a

42. What is the average?
Equal
Percentage Change = Difference/Original * 100
?r²
Sum of terms/number of terms

43. Volume of pyramid
(a+b)(a²-ab+b²)
1/x^a
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
1/3Bh

44. What is the area of a sector?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x-y)²
(n degrees/360) * (pi)r^2
(x+y)(x-y)

45. Volume of Cone
2 pi r
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.
1/3pir^2*h
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.

46. Perimeter of polygon
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
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.
Sum of the lengths of the sides

47. Explain the special properties of zero.
Sum of terms/number of terms
2(pi)r
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=?r2

48. In a parabola - if the first term is negative - the parabola ________.
Opens down
A+b
(a-b)²
1.7

49. If something is certain to happen - how is the probability of this event expressed mathematically?
x² + 2xy + y²
1/1
Total distance/total time
(0 -0)

50. Perimeter of a rectangle
(n/2) * (t1+tn)
x² -2xy + y²
Lwh
2Length + 2width [or (length + width) x 2]