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

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2. Define the mode of a set of numbers.
2x2x2x5x5
(0 -0)
2(pi)r(r+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.

3. Area of Circle
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.
An ange whose vertex is the center of the circle
Pi*r^2

4. What is the volume of a cylinder?
½(base x height) [or (base x height)÷2]
T1 * r^(n-1)
(pi)r^2(h)
Not necessarily. This is a trick question - because x could be either positive or negative.

5. a²+2ab+b²
y-y1=m(x-x1)
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
(a+b)²
(pi)r^2(h)

6. (a+b)(c+d)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Ac+ad+bc+bd
Last term
4s

7. Area of Square
S^2
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
1. Given event A: A + notA = 1.

8. How do you calculate the surface area of a rectangular box?
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.
T1 + (n-1)d
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.
The four big angles are equal and the four small angles are equal

9. Circumference of a circle using radius
2pi*r
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 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.
4pir^2

10. What is the factored version of x² + 2xy + y² ?
T1 * r^(n-1)
C =?d
(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.

11. How do you find the sum of a geometric sequence?
1.4
1/x^a
½(base x height) [or (base x height)÷2]
T1 * r^(n-1)/(r-1)

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

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13. Surface Area of rectangular prism
Last term
Part of a circle connecting two points on the circle.
x² -2xy + y²
2lw+2lh+2wh

14. What is the sum of the inside angles of an n-sided polygon?
(n-2)180
Percentage Change = Difference/Original * 100
(a-b)(a²+ab+b²)
The total # of possible outcomes.

15. What is the average?
2(pi)r(r+h)
Sum of terms/number of terms
?d OR 2?r
2x2x2x5x5

16. Point-Slope form
y-y1=m(x-x1)
½(base x height) [or (base x height)÷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.
(a-b)(a+b)

17. Define the formula for calculating slope.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Equal
Less

18. Radius (Radii)
(x+y)²
C =?d
A+b
A segment connecting the center of a circle to any point on the circle

19. What is the area of a sector?
Equal
y = k/x
(n degrees/360) * (pi)r^2
Lw

20. Circumference of cirlce using diameter
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1/3Bh
Pi*d

21. 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.
An ange whose vertex is the center of the circle
Number of desired outcomes/number of total outcomes
Lw

22. a³-b³
1/3Bh
(a-b)(a²+ab+b²)
1/x^a
The set of points which are all the same distance (the radius) from a certain point (the center).

23. How do you multiply and divide square roots?
Sum of the lengths of the sides
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Arrangements - orders - schedules - or lists.

24. What is the area of a circle?
1
x°/360 times (2 pi r) - where x is the degrees in the angle
2Length + 2width [or (length + width) x 2]
(pi)r^2

25. What is the volume of a solid rectangle?
1/2bh
(y-y1)=m(x-x1)
(0 -0)
Lwh

26. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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27. What is the unfactored version of (x-y)² ?
Less
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1
x² -2xy + y²

28. What is the probability?
4s
Ac+ad+bc+bd
Last term
Number of desired outcomes/number of total outcomes

29. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
(a-b)(a²+ab+b²)
Probability A + Probability B
x°/360 times (2 pi r) - where x is the degrees in the angle

30. Lines reflected over the x or y axis have ____ slopes.
Pir^2h
Negative
(a+b)²
(n degrees/360) * (pi)r^2

31. What is the circumference of a circle?
2x2x2x5x5
(0 -0)
2(pi)r
Opens down

32. The length of one side of any triangle is ____ than the sum of the other two sides.
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
A=?r2
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.
Less

33. Area of Trapezoid
1/2 h (b1 + b2)
1.4
(a-b)²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

34. What is the surface area of a cylinder?
T1 * r^(n-1)/(r-1)
2Length + 2width [or (length + width) x 2]
x²-y²
2(pi)r(r+h)

35. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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
Sum of the lengths of the sides
The total # of possible outcomes.

36. What do permutation problems often ask for?
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
2 pi r
(a+b)(a²-ab+b²)
Arrangements - orders - schedules - or lists.

37. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
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
Probability A + Probability B
1. Given event A: A + notA = 1.

38. Area of Triangle
1/2bh
The total # of possible outcomes.
1.7
Opens down

39. How do you find the midpoint?
2 pi r
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
(x1+x2)/2 - (y1+y2)/2

40. Central Angle
(a-b)²
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.
An ange whose vertex is the center of the circle
Less

41. Area of a square
(pi)r^2(h)
A=bh
S² - where s = length of a side
Number of desired outcomes/number of total outcomes

42. Rough est. of v1 =
The four big angles are equal and the four small angles are equal
1
x² + 2xy + y²
2(pi)r(r+h)

43. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
Number of desired outcomes/number of total outcomes
1/2bh
1

44. What is directly proportional?
Last term
y = kx
2(pi)r
The set of points which are all the same distance (the radius) from a certain point (the center).

45. What is the factored version of (x+y)(x-y) ?
x²-y²
An ange whose vertex is the center of the circle
The distance across the circle through the center of the circle.The diameter is twice the radius.
Sqr( x2 -x1) + (y2- y1)

46. Volume of prism
Equal
Bh
1/2bh
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.

47. Area of Parallelogram
(x+y)(x-y)
x² -2xy + y²
Bh
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.

48. Rough est. of v3 =
(n degrees/360) * 2(pi)r
1.7
2 pi r
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

49. What is a 'Right isosceles' triangle?
S^2
1/3pir^2*h
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.
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.

50. If something is possible but not certain - what is the numeric range of probability of it happening?
2pir^2 + 2pir*h
Between 0 and 1.
Last term
x°/360 times (2 pi r) - where x is the degrees in the angle