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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. Volume of sphere
4/3pir^3
Lwh
The average - mean - median - or mode.
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.

2. What is the formula for the diagonal of any square?
S² - where s = length of a side
1/2bh
S*v2
b±[vb²-4ac]/2a

3. How do you calculate the percentage of change?
(a-b)(a²+ab+b²)
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.
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.
Percentage Change = Difference/Original * 100

4. Circumference Formula
C =?d
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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)²

5. Sector
2Length + 2width [or (length + width) x 2]
1.4
2l+2w
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.

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

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7. In intersecting lines - opposite angles are _____.
2(pi)r(r+h)
Equal
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

8. What is the area of a circle?
(pi)r^2
2lw+2lh+2wh
?d OR 2?r
4/3pir^3

9. What is the area of a sector?
The four big angles are equal and the four small angles are equal
(n degrees/360) * (pi)r^2
2(pi)r
(n-2)180

10. Area of Circle
Total distance/total time
4pir^2
Pi*r^2
(x-y)²

11. How do you find the slope?
y2-y1/x2-x1
(n degrees/360) * 2(pi)r
C =?d
4/3pir^3

12. How do you find the sum of a geometric sequence?
x² + 2xy + y²
(x+y)²
Lwh
T1 * r^(n-1)/(r-1)

13. In a parabola - if the first term is positive - the parabola ________.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(pi)r^2
Opens up
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.

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

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15. Rough est. of v3 =
(a+b)²
1.7
(y-y1)=m(x-x1)
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.

16. What is directly proportional?
(a-b)(a²+ab+b²)
y = kx
(a+b)²
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

17. Radius (Radii)
?d OR 2?r
4s (where s = length of a side)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A segment connecting the center of a circle to any point on the circle

18. x^-a =
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
1/x^a
1/3pir^2*h

19. Define the range of a set of numbers.
T1 * r^(n-1)/(r-1)
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.
(y-y1)=m(x-x1)
2 pi r

20. Area of Parallelogram
2(lw+wh+lh)
2(pi)r
Bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

21. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
The four big angles are equal and the four small angles are equal
Pi*d
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

22. Surface Area of rectangular prism
Lw
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.
2lw+2lh+2wh
(x1+x2)/2 - (y1+y2)/2

23. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1. Given event A: A + notA = 1.
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.
2pir^2 + 2pir*h
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.

24. What is a '30:60:90' triangle?
(n degrees/360) * (pi)r^2
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 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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

25. Perimeter of polygon
y = k/x
Bh
Sum of the lengths of the sides
Bh

26. When you reverse FOIL - the term that needs to add out is the _____
Pi*d
1. Given event A: A + notA = 1.
Pir^2h
Middle term

27. Perimeter (circumference) of a circle
2 pi r
1. Given event A: A + notA = 1.
y-y1=m(x-x1)
A+b

28. Perimeter of rectangle
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.
1/2bh
2l+2w
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

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

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30. How do you solve a permutation?
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
Groups - teams - or committees.
Lwh
Total distance/total time

31. Perimeter of a square
A segment connecting the center of a circle to any point on the circle
Sum of terms/number of terms
A=?r2
4s (where s = length of a side)

32. What is the 'distributive law'?
1/3Bh
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.
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.
Part of a circle connecting two points on the circle.

33. List two odd behaviors of exponents
Number of desired outcomes/number of total outcomes
Part of a circle connecting two points on the circle.
1/2bh
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.

34. Area of Circles
A=?r2
Order does matter for a permutation - but does not matter for a combination.
Not necessarily. This is a trick question - because x could be either positive or negative.
An ange whose vertex is the center of the circle

35. What is the point-slope form?
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).
(y-y1)=m(x-x1)
T1 * r^(n-1)

36. Define the mode of a set of numbers.
Bh
S^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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.

37. Area of Triangle
Middle term
b±[vb²-4ac]/2a
1/2bh
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.

38. 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.
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.
Negative
Sqr( x2 -x1) + (y2- y1)

39. How do you calculate the surface area of a rectangular box?
Bh
Sqr( x2 -x1) + (y2- y1)
S*v2
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.

40. Central Angle
An ange whose vertex is the center of the circle
1/2bh
Opens up
2l+2w

41. When you reverse FOIL - the term that needs to multiply out is the _____
(a-b)(a+b)
4/3pir^3
1
Last term

42. Area of Rectangle
1/3pir^2*h
Lw
(pi)r^2(h)
y = k/x

43. What is the factored version of (x+y)(x-y) ?
x²-y²
Not necessarily. This is a trick question - because x could be either positive or negative.
b±[vb²-4ac]/2a
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

44. Area of rectangle - square - parallelogram
A=bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Pir^2h
Number of desired outcomes/number of total outcomes

45. What is the factored version of x² -2xy + y² ?
2lw+2lh+2wh
T1 + (n-1)d
(x-y)²
A+b

46. What number goes on the bottom of a probability fraction?
Pi*r^2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
(a-b)(a+b)
The total # of possible outcomes.

47. a²-b²
(a-b)(a+b)
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
C =?d
Negative

48. Perimeter of a rectangle
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.
2Length + 2width [or (length + width) x 2]
Pi*r^2
Groups - teams - or committees.

49. What is the volume of a solid rectangle?
The set of points which are all the same distance (the radius) from a certain point (the center).
A²-b²
Lwh
Number of desired outcomes/number of total outcomes

50. x^a * x^b = x^__
A+b
T1 + (n-1)d
Order does matter for a permutation - but does not matter for a combination.
1/2 h (b1 + b2)