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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 sum of the inside angles of an n-sided polygon?
(n-2)180
(a-b)(a+b)
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.
(a-b)²

2. How do you find the slope?
y2-y1/x2-x1
A segment connecting the center of a circle to any point on the circle
T1 + (n-1)d
Last term

3. In a parabola - if the first term is negative - the parabola ________.
T1 * r^(n-1)/(r-1)
1/3Bh
y-y1=m(x-x1)
Opens down

4. Area of a triangle
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.
1/3pir^2*h
½(base x height) [or (base x height)÷2]
1/1

5. Circumference of a circle
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
?r²
?d OR 2?r
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.

6. 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.
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.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

7. Define the formula for calculating slope.
1/3pir^2*h
Percentage Change = Difference/Original * 100
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Part of a circle connecting two points on the circle.

8. Does order matter for a permutation? How about for a combination?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Order does matter for a permutation - but does not matter for a combination.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.

9. Volume of Cylinder
The total # of possible outcomes.
y-y1=m(x-x1)
2(pi)r(r+h)
Pir^2h

10. When a line crosses two parallel lines - ________.
(a-b)(a+b)
Probability A + Probability B
Part of a circle connecting two points on the circle.
The four big angles are equal and the four small angles are equal

11. Lines reflected over the x or y axis have ____ slopes.
Negative
(pi)r^2(h)
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.
2Length + 2width [or (length + width) x 2]

12. What is the unfactored version of x²-y² ?
y2-y1/x2-x1
The distance across the circle through the center of the circle.The diameter is twice the radius.
(x+y)(x-y)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

13. What is the volume of a solid rectangle?
Lwh
1/2bh
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.
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.

14. What is the area of a cylinder?
(y-y1)=m(x-x1)
2(pi)r(r+h)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A segment connecting the center of a circle to any point on the circle

15. Diameter
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.
(a+b)(a²-ab+b²)
4/3pir^3
The distance across the circle through the center of the circle.The diameter is twice the radius.

16. Area of Square
A+b
4/3pir^3
S^2
C =?d

17. How do you calculate the probability of two events in a row? (Probability of A and B)
2pir^2 + 2pir*h
1.4
Probability A * Probability B
1. Given event A: A + notA = 1.

18. What is inversely proportional?
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/2) * (t1+tn)
T1 * r^(n-1)/(r-1)
y = k/x

19. Area of a trapezoid
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.
A segment connecting the center of a circle to any point on the circle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Opens up

20. Define the mode of a set of numbers.
A²-b²
y-y1=m(x-x1)
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.
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.

21. Volume of Cone
(y2-y1)/(x2-x1)
Part of a circle connecting two points on the circle.
1/3pir^2*h
Sum of the lengths of the sides

22. What is the distance formula?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Pi*d
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
Sqr( x2 -x1) + (y2- y1)

23. How do you multiply and divide square roots?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2Length + 2width [or (length + width) x 2]
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
y-y1=m(x-x1)

24. Rough est. of v3 =
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.
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.
1.7
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

25. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a+b)(a²-ab+b²)
(x-y)²

26. Surface Area of rectangular prism
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(pi)r^2(h)
1.4
2lw+2lh+2wh

27. What is the average speed?
(a-b)(a+b)
x°/360 times (2 pi r) - where x is the degrees in the angle
Total distance/total time
?r²

28. What is the area of a circle?
4s (where s = length of a side)
Equal
(pi)r^2
(a-b)(a+b)

29. a³-b³
(a-b)(a²+ab+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.
Ac+ad+bc+bd
x²-y²

30. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
(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.
Ac+ad+bc+bd
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.

31. What is the formula for the diagonal of any square?
A+b
S*v2
Probability A + Probability B
1/2bh

32. How do you multiply powers with the same base?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Sqr( x2 -x1) + (y2- y1)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1.7

33. What is the average?
Sum of terms/number of terms
2l+2w
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.
2pi*r

34. Define 'proportionate' values
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/3pir^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.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

35. How do you find the sum of a geometric sequence?
?d OR 2?r
Probability A + Probability B
Probability A * Probability B
T1 * r^(n-1)/(r-1)

36. x^-a =
Opens down
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.
1/x^a
y = k/x

37. a²-b²
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
4s
A=?r2
(a-b)(a+b)

38. Arc
S^2
C =?d
Pi*d
Part of a circle connecting two points on the circle.

39. Circle
Equal
(n-2)180
4s (where s = length of a side)
The set of points which are all the same distance (the radius) from a certain point (the center).

40. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
Lw
T1 * r^(n-1)
1/2bh

41. What is a 'Right isosceles' triangle?
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
S^2
4/3pir^3

42. How do you solve a permutation?
y = k/x
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.
(a+b)²
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

43. (a+b)(c+d)
T1 * r^(n-1)
Ac+ad+bc+bd
y-y1=m(x-x1)
(a+b)²

44. Explain the special properties of zero.
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
Part of a circle connecting two points on the circle.
1. Given event A: A + notA = 1.
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.

45. a²-2ab+b²
The total # of possible outcomes.
(n degrees/360) * (pi)r^2
(a-b)²
x² -2xy + y²

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

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47. What is the factored version of x² + 2xy + y² ?
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
(a-b)(a²+ab+b²)
(x+y)²
1

48. If something is certain to happen - how is the probability of this event expressed mathematically?
Number of desired outcomes/number of total outcomes
1/1
1/2bh
The distance across the circle through the center of the circle.The diameter is twice the radius.

49. Area of a square
4pir^2
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
The set of points which are all the same distance (the radius) from a certain point (the center).

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

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