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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. Area of Circle
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.
Pi*r^2
Probability A + Probability B
A segment connecting the center of a circle to any point on the circle

2. What is the area of a sector?
2(pi)r(r+h)
(n degrees/360) * (pi)r^2
(0 -0)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

3. What is the factored version of x² -2xy + y² ?
(y2-y1)/(x2-x1)
(x-y)²
Opens down
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

4. The length of one side of any triangle is ____ than the sum of the other two sides.
(a+b)²
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
(a-b)(a²+ab+b²)

5. Rough est. of v2 =
S*v2
1.4
y-y1=m(x-x1)
2pi*r

6. Circumference of cirlce using diameter
A+b
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Pi*d
The four big angles are equal and the four small angles are equal

7. Radius (Radii)
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 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 segment connecting the center of a circle to any point on the circle
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.

8. What do permutation problems often ask for?
(x+y)²
S*v2
Arrangements - orders - schedules - or lists.
(a+b)(a-b)

9. What is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Pi*r^2
(y2-y1)/(x2-x1)
?d OR 2?r

10. What is the circumference of a circle?
2(pi)r
1/3Bh
1
An ange whose vertex is the center of the circle

11. What is the prime factorization of 200?
Equal
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.
2x2x2x5x5
y = kx

12. Central Angle
Probability A * Probability B
(n degrees/360) * (pi)r^2
An ange whose vertex is the center of the circle
Bh

13. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
2 pi r
Pi*r^2
N x M

14. Diameter
2(lw+wh+lh)
The distance across the circle through the center of the circle.The diameter is twice the radius.
2x2x2x5x5
T1 + (n-1)d

15. How do you calculate the surface area of a rectangular box?
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 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.
A+b
x°/360 times (?r²) - where x is the degrees in the angle

16. For a bell curve - what three terms might be used to describe the number in the middle?
S*v2
The average - mean - median - or mode.
A+b
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

17. How do you multiply powers with the same base?
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.
S^2
2pir^2 + 2pir*h
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

18. a²+2ab+b²
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)²
Opens up
The average - mean - median - or mode.

19. x^-a =
1/x^a
Sqr( x2 -x1) + (y2- y1)
(n degrees/360) * (pi)r^2
The total # of possible outcomes.

20. a²-2ab+b²
4s
x² -2xy + y²
(a-b)²
y2-y1/x2-x1

21. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
½(base x height) [or (base x height)÷2]
Lwh
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

22. Perimeter of rectangle
(n degrees/360) * (pi)r^2
2l+2w
4s
Groups - teams - or committees.

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

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24. a²-b²
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.
Equal
C =?d
(a-b)(a+b)

25. a³-b³
(pi)r^2
1
(a-b)(a²+ab+b²)
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.

26. Circumference of a circle using radius
2pi*r
Probability A + Probability B
b±[vb²-4ac]/2a
x² + 2xy + y²

27. (a+b)(c+d)
Ac+ad+bc+bd
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1
(a-b)²

28. What is the unfactored version of (x+y)² ?
Lwh
2x2x2x5x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
x² + 2xy + y²

29. Area of rectangle - square - parallelogram
Pi*d
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=bh
4/3pir^3

30. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
1/1
A segment connecting the center of a circle to any point on the circle
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
Lw

31. Perimeter (circumference) of a circle
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.
x²-y²
2 pi r
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.

32. In a parabola - if the first term is positive - the parabola ________.
The four big angles are equal and the four small angles are equal
Opens up
A=?r2
The distance from one point on the circle to another point on the circle.

33. What is directly proportional?
N x M
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.
y = kx
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

34. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Arrangements - orders - schedules - or lists.
2x2x2x5x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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'.

35. How do you solve a permutation?
Equal
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
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1. Given event A: A + notA = 1.

36. Surface Area of Cylinder
1.7
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.
x°/360 times (2 pi r) - where x is the degrees in the angle
2pir^2 + 2pir*h

37. Define the mode of a set of numbers.
(a-b)(a+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.
1/x^a
Lwh

38. In a coordinate system - what is the origin?
(0 -0)
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.
2x2x2x5x5
(a-b)(a²+ab+b²)

39. perimeter of square
(y2-y1)/(x2-x1)
1/3Bh
4s
2(pi)r(r+h)

40. How do you find the nth term of a geometric sequence?
Last term
(a+b)²
4s
T1 * r^(n-1)

41. Circumference Formula
2Length + 2width [or (length + width) x 2]
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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

42. What is the point-slope form?
(y-y1)=m(x-x1)
(pi)r^2
Pi*r^2
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.

43. What is the surface area of a cylinder?
2(pi)r(r+h)
(a+b)(a²-ab+b²)
T1 + (n-1)d
1/2bh

44. In a coordinate system - identify the quadrants and describe their location.
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
4pir^2
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

45. Area of Circles
(a+b)(a-b)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Sqr( x2 -x1) + (y2- y1)
A=?r2

46. Area of Rectangle
Lw
x²-y²
Opens down
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. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
2 pi r
x°/360 times (2 pi r) - where x is the degrees in the angle
1.4
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.

48. Explain the special properties of zero.
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.
2(pi)r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A=bh

49. Area of Trapezoid
A²-b²
1/2 h (b1 + b2)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Last term

50. How do you find the slope?
The four big angles are equal and the four small angles are equal
Pi*d
y2-y1/x2-x1
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.