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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. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
(x1+x2)/2 - (y1+y2)/2
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Lwh

2. What is the area of a solid rectangle?
2(lw+wh+lh)
x°/360 times (2 pi r) - where x is the degrees in the angle
(x+y)²
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.

3. How do you calculate the surface area of a rectangular box?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
2x2x2x5x5

4. a²+2ab+b²
(a+b)²
Last term
4s (where s = length of a side)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

5. Central Angle
Opens down
2(pi)r(r+h)
T1 * r^(n-1)
An ange whose vertex is the center of the circle

6. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
x°/360 times (2 pi r) - where x is the degrees in the angle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

7. What is the 'Third side' rule for triangles?
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.
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.
Percentage Change = Difference/Original * 100
Pi*r^2

8. In a parabola - if the first term is negative - the parabola ________.
y = kx
Less
Opens down
2pi*r

9. perimeter of square
(n-2)180
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
4s

10. What is inversely proportional?
Opens down
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
x°/360 times (?r²) - where x is the degrees in the angle
y = k/x

11. Perimeter (circumference) of a circle
4s
2 pi r
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Total distance/total time

12. 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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13. In a coordinate system - identify the quadrants and describe their location.
T1 + (n-1)d
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2(pi)r
Equal

14. List two odd behaviors of exponents
The average - mean - median - or mode.
S^2
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.
The set of points which are all the same distance (the radius) from a certain point (the center).

15. Perimeter of polygon
T1 + (n-1)d
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Sum of the lengths of the sides
The distance across the circle through the center of the circle.The diameter is twice the radius.

16. Area of Circles
2 pi r
A=?r2
1. Given event A: A + notA = 1.
The distance across the circle through the center of the circle.The diameter is twice the radius.

17. What is the probability?
T1 * r^(n-1)
Ac+ad+bc+bd
Number of desired outcomes/number of total outcomes
Sum of terms/number of terms

18. What is the area of a circle?
4s
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
(pi)r^2
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.

19. Define 'proportionate' values
Negative
S² - where s = length of a side
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.

20. x^a * x^b = x^__
(x-y)²
1
A+b
½(base x height) [or (base x height)÷2]

21. In a parabola - if the first term is positive - the parabola ________.
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.
A=?r2
A=bh
Opens up

22. Arc
Negative
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.
Part of a circle connecting two points on the circle.
T1 * r^(n-1)

23. How do you solve a permutation?
The distance from one point on the circle to another point on the 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
2(pi)r
(y-y1)=m(x-x1)

24. Volume of sphere
(a-b)(a+b)
4/3pir^3
1.4
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.

25. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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+b
Negative

26. 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
?r²
x² + 2xy + y²
x²-y²

27. Circle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The set of points which are all the same distance (the radius) from a certain point (the center).
4s
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

28. What is the unfactored version of x²-y² ?
(x+y)(x-y)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1. Given event A: A + notA = 1.
4s

29. What is the factored version of x² + 2xy + y² ?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A=?r2
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.
(x+y)²

30. How do you find the slope?
?r²
2lw+2lh+2wh
y2-y1/x2-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.

31. How do you find the sum of an arithmetic sequence?
Equal
Groups - teams - or committees.
Pi*d
(n/2) * (t1+tn)

32. Rough est. of v2 =
1.4
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.
(pi)r^2(h)
A segment connecting the center of a circle to any point on the circle

33. Volume of Cone
x°/360 times (2 pi r) - where x is the degrees in the angle
x²-y²
C =?d
1/3pir^2*h

34. How do you find the nth term of a geometric sequence?
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
Ac+ad+bc+bd
T1 * r^(n-1)

35. If something is certain to happen - how is the probability of this event expressed mathematically?
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).
Opens up
1/1

36. What is the area of a sector?
1/3Bh
(n degrees/360) * (pi)r^2
2lw+2lh+2wh
Negative

37. Rough est. of v3 =
2pir^2 + 2pir*h
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1.7

38. What is the area of a triangle?
The distance across the circle through the center of the circle.The diameter is twice the radius.
(y2-y1)/(x2-x1)
1/2bh
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.

39. Point-Slope form
y-y1=m(x-x1)
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.
1/2bh
A=bh

40. Area of Triangle
The distance from one point on the circle to another point on the circle.
1/2bh
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
(x+y)²

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

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42. Surface Area of rectangular prism
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.
1/x^a
Probability A + Probability B
2lw+2lh+2wh

43. Define a factorial of a number - and how it is written.
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 segment connecting the center of a circle to any point on the circle
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.
(a-b)(a²+ab+b²)

44. Perimeter of rectangle
A=bh
2l+2w
The average - mean - median - or mode.
4pir^2

45. Area of a square
S² - where s = length of a side
2pir^2 + 2pir*h
A=bh
2(pi)r(r+h)

46. To divide powers with the same base...
Sum of terms/number of terms
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.
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

47. What number goes on the bottom of a probability fraction?
(a-b)(a²+ab+b²)
1/2bh
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.
The total # of possible outcomes.

48. Area of Square
b±[vb²-4ac]/2a
x² + 2xy + y²
S^2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

49. Area of Trapezoid
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.
1/2bh
The distance from one point on the circle to another point on the circle.
1/2 h (b1 + b2)

50. Area of Circle
y = kx
1
Pi*r^2
T1 * r^(n-1)/(r-1)