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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 v1 =
1
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

2. What is the surface area of a cylinder?
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.
(a+b)²
2(pi)r(r+h)
x² -2xy + y²

3. Perimeter of a square
(a-b)(a²+ab+b²)
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.
4s (where s = length of a side)
2pi*r

4. In a coordinate system - what is the origin?
(0 -0)
2 pi r
Bh
The total # of possible outcomes.

5. Surface Area of rectangular prism
½(base x height) [or (base x height)÷2]
2lw+2lh+2wh
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

6. Area of a square
A=bh
S² - where s = length of a side
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
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.

7. When a line crosses two parallel lines - ________.
y = k/x
x°/360 times (?r²) - where x is the degrees in the angle
1/3pir^2*h
The four big angles are equal and the four small angles are equal

8. (a+b)(a-b)=
A²-b²
1.7
Equal
The total # of possible outcomes.

9. What is the unfactored version of (x+y)² ?
4/3pir^3
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
x² + 2xy + y²
Between 0 and 1.

10. What is the side ratio for a 30:60:90 triangle?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
2(pi)r
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

11. Area of Triangle
1
1/2bh
The distance from one point on the circle to another point on the circle.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

12. How do you find the sum of a geometric sequence?
1/1
T1 * r^(n-1)/(r-1)
2Length + 2width [or (length + width) x 2]
1

13. Surface Area of Sphere
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
4pir^2
1/2bh
1.7

14. Area of a circle
2(pi)r(r+h)
(x1+x2)/2 - (y1+y2)/2
(x+y)²
?r²

15. The probability of an event happening and the probability of an event NOT happening must add up to what number?
2lw+2lh+2wh
Sum of terms/number of terms
1. Given event A: A + notA = 1.
(a-b)(a+b)

16. Area of rectangle - square - parallelogram
Pir^2h
A=bh
b±[vb²-4ac]/2a
The total # of possible outcomes.

17. 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
1/3pir^2*h
(a+b)²
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

18. How do you multiply powers with the same base?
A²-b²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Bh
(y-y1)=m(x-x1)

19. What is the factored version of x² -2xy + y² ?
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.
(x-y)²
Last term

20. Lines reflected over the x or y axis have ____ slopes.
(n/2) * (t1+tn)
b±[vb²-4ac]/2a
2lw+2lh+2wh
Negative

21. Perimeter of a rectangle
Last term
(x+y)²
2Length + 2width [or (length + width) x 2]
Pir^2h

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

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23. What is the factored version of x² + 2xy + y² ?
(pi)r^2(h)
(x+y)²
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.
(x1+x2)/2 - (y1+y2)/2

24. Area of Trapezoid
1/2 h (b1 + b2)
A segment connecting the center of a circle to any point on the circle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x+y)²

25. Area of a sector
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x°/360 times (?r²) - where x is the degrees in the angle
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The four big angles are equal and the four small angles are equal

26. perimeter of square
2(lw+wh+lh)
Opens down
4s
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.

27. What is the volume of a solid rectangle?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Lwh
Negative
1

28. For a bell curve - what three terms might be used to describe the number in the middle?
b±[vb²-4ac]/2a
T1 * r^(n-1)/(r-1)
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
The average - mean - median - or mode.

29. When you reverse FOIL - the term that needs to add out is the _____
Middle term
An ange whose vertex is the center of the circle
Opens down
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.

30. x^a * x^b = x^__
Percentage Change = Difference/Original * 100
x²-y²
(x+y)²
A+b

31. What is the formula for the diagonal of any square?
Total distance/total time
S*v2
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

32. How do you find the slope?
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.
x² + 2xy + y²
2lw+2lh+2wh
y2-y1/x2-x1

33. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
?r²
(x+y)²
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.

34. What is a 'Right isosceles' triangle?
1.7
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.
Sum of the lengths of the sides
S² - where s = length of a side

35. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Lw
(a+b)²
(n degrees/360) * (pi)r^2
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.

36. Circumference Formula
C =?d
y = kx
(n/2) * (t1+tn)
The total # of possible outcomes.

37. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
Pi*r^2
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.
(a-b)²

38. a³+b³
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2pir^2 + 2pir*h
(y2-y1)/(x2-x1)
(a+b)(a²-ab+b²)

39. Chord
The distance from one point on the circle to another point on the circle.
A=?r2
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.
(y-y1)=m(x-x1)

40. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
Percentage Change = Difference/Original * 100
Middle term
The four big angles are equal and the four small angles are equal

41. Volume of Cone
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
1/3pir^2*h
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

42. Slope
x°/360 times (2 pi r) - where x is the degrees in the angle
(y2-y1)/(x2-x1)
T1 + (n-1)d
x² + 2xy + y²

43. (a+b)(c+d)
x°/360 times (?r²) - where x is the degrees in the angle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Lw
Ac+ad+bc+bd

44. Define the mode of a set of numbers.
2 pi r
Between 0 and 1.
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.
Bh

45. Arc
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Part of a circle connecting two points on the circle.
x² + 2xy + y²
1/2bh

46. How do you solve a permutation?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Percentage Change = Difference/Original * 100
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
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

47. What is the sum of the inside angles of an n-sided polygon?
Number of desired outcomes/number of total outcomes
(n-2)180
Between 0 and 1.
S² - where s = length of a side

48. Rough est. of v2 =
1
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(y-y1)=m(x-x1)
1.4

49. a² - b² is equal to
(y-y1)=m(x-x1)
C =?d
(a+b)(a-b)
(n degrees/360) * 2(pi)r

50. What is inversely proportional?
A segment connecting the center of a circle to any point on the circle
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
y = k/x
½(base x height) [or (base x height)÷2]