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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 inversely proportional?
y = k/x
Opens up
2(lw+wh+lh)
Probability A + Probability B

2. Volume of Cylinder
T1 * r^(n-1)/(r-1)
Pir^2h
The average - mean - median - or mode.
Arrangements - orders - schedules - or lists.

3. What is the factored version of x² -2xy + 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.
(a+b)(a²-ab+b²)
(x-y)²
Pi*d

4. Slope
Probability A + Probability B
(a-b)(a²+ab+b²)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(y2-y1)/(x2-x1)

5. In a coordinate system - what is the origin?
A=bh
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
(0 -0)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

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

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7. Area of Parallelogram
Bh
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.
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.
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.

8. length of a sector
Pi*d
x°/360 times (2 pi r) - where x is the degrees in the angle
The average - mean - median - or mode.
1/2bh

9. Perimeter of polygon
Equal
Probability A * Probability B
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.
Sum of the lengths of the sides

10. a² - b² is equal to
(a+b)(a-b)
Sqr( x2 -x1) + (y2- y1)
4s (where s = length of a side)
x°/360 times (?r²) - where x is the degrees in the angle

11. What is the side ratio for a 30:60:90 triangle?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
S² - where s = length of a side
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.

12. Sector
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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 average - mean - median - or mode.
y-y1=m(x-x1)

13. x^-a =
1/x^a
Sum of terms/number of terms
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
An ange whose vertex is the center of the circle

14. Circumference Formula
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.
C =?d
Bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

15. Radius (Radii)
1.7
Probability A + Probability B
A segment connecting the center of a circle to any point on the circle
The total # of possible outcomes.

16. What number goes on the bottom of a probability fraction?
(x+y)²
The set of points which are all the same distance (the radius) from a certain point (the center).
The total # of possible outcomes.
(a+b)²

17. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
1/3pir^2*h
Pi*r^2
Part of a circle connecting two points on the circle.

18. perimeter of square
4s
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

19. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
The total # of possible outcomes.
Not necessarily. This is a trick question - because x could be either positive or negative.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

20. Volume of pyramid
(n degrees/360) * (pi)r^2
1/3Bh
x² -2xy + y²
?d OR 2?r

21. Surface Area of rectangular prism
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x²-y²
2lw+2lh+2wh
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.

22. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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 four big angles are equal and the four small angles are equal
(a-b)(a²+ab+b²)
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. How do you find the sum of an arithmetic sequence?
(pi)r^2(h)
(n/2) * (t1+tn)
The distance across the circle through the center of the circle.The diameter is twice the radius.
Pir^2h

24. What is the point-slope form?
Sum of the lengths of the sides
1/3Bh
(y-y1)=m(x-x1)
2Length + 2width [or (length + width) x 2]

25. a²-b²
(a-b)(a+b)
C =?d
y = k/x
½(base x height) [or (base x height)÷2]

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

27. What is the volume of a cylinder?
A=bh
(pi)r^2(h)
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.
(n degrees/360) * (pi)r^2

28. Lines reflected over the x or y axis have ____ slopes.
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.
Negative
(a+b)(a-b)
N x M

29. a³+b³
Pir^2h
(a+b)(a²-ab+b²)
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.
1/2bh

30. Area of Rectangle
Less
(y-y1)=m(x-x1)
1/2bh
Lw

31. (a+b)(a-b)=
The average - mean - median - or mode.
A²-b²
x²-y²
Sum of terms/number of terms

32. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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 up
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.

33. What do permutation problems often ask for?
1.4
Arrangements - orders - schedules - or lists.
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.
(0 -0)

34. What is the side ratio for a Right Isosceles triangle?
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.
Lwh
Less
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

35. Surface Area of Sphere
Sum of the lengths of the sides
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.
4pir^2
b±[vb²-4ac]/2a

36. What do combination problems usually ask for?
Pir^2h
4pir^2
Groups - teams - or committees.
(n degrees/360) * (pi)r^2

37. Define the formula for calculating slope.
2x2x2x5x5
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x² -2xy + y²
(a+b)(a-b)

38. a³-b³
(a-b)(a²+ab+b²)
2lw+2lh+2wh
1/3pir^2*h
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.

39. When you reverse FOIL - the term that needs to add out is the _____
An ange whose vertex is the center of the circle
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.
Pi*d
Middle term

40. What is a '30:60:90' triangle?
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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 formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

41. Define the mode of a set of numbers.
4pir^2
x°/360 times (2 pi r) - where x is the degrees in the angle
Probability A + Probability B
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.

42. a²-2ab+b²
(a-b)²
x°/360 times (?r²) - where x is the degrees in the angle
Opens up
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.

43. To divide powers with the same base...
Middle term
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(n/2) * (t1+tn)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

44. Area of Trapezoid
4s
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2 h (b1 + b2)
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.

45. Chord
The distance from one point on the circle to another point on the circle.
Less
4s (where s = length of a side)
2Length + 2width [or (length + width) x 2]

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

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47. What is the area of a triangle?
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
Total distance/total time
1/2bh
A²-b²

48. 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
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A+b

49. What is the unfactored version of x²-y² ?
T1 + (n-1)d
(x+y)(x-y)
An ange whose vertex is the center of the circle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

50. What is directly proportional?
x² + 2xy + y²
y = kx
1.7
(x+y)²