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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. Diameter
The four big angles are equal and the four small angles are equal
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
4pir^2
The distance across the circle through the center of the circle.The diameter is twice the radius.

2. In a parabola - if the first term is positive - the parabola ________.
(x1+x2)/2 - (y1+y2)/2
(a+b)(a-b)
Last term
Opens up

3. Area of rectangle - square - parallelogram
(n degrees/360) * 2(pi)r
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
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

4. What is the area of a solid rectangle?
(a+b)²
2(lw+wh+lh)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(n degrees/360) * (pi)r^2

5. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
Percentage Change = Difference/Original * 100
The total # of possible outcomes.
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.

6. How do you find the nth term of an arithmetic sequence?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
T1 + (n-1)d
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

7. How do you calculate a diagonal inside a 3-dimensional rectangular box?
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The distance from one point on the circle to another point on the circle.
A+b
4pir^2

8. Chord
The distance from one point on the circle to another point on the circle.
2Length + 2width [or (length + width) x 2]
y = kx
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

9. If something is possible but not certain - what is the numeric range of probability of it happening?
Lwh
The total # of possible outcomes.
Between 0 and 1.
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

10. In a parabola - if the first term is negative - the parabola ________.
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=bh
1/2bh
Opens down

11. Define the range of a set of numbers.
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.
2(pi)r(r+h)
(pi)r^2(h)
A segment connecting the center of a circle to any point on the circle

12. Circumference of a circle using radius
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
2pi*r
The distance across the circle through the center of the circle.The diameter is twice the radius.

13. Perimeter of a rectangle
1.7
2l+2w
Lw
2Length + 2width [or (length + width) x 2]

14. 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
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
T1 * r^(n-1)
A segment connecting the center of a circle to any point on the circle

15. Arc
?r²
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.
Groups - teams - or committees.
Part of a circle connecting two points on the circle.

16. Quadratic Formula
Probability A + Probability B
b±[vb²-4ac]/2a
Equal
y = kx

17. What is the area of a triangle?
(y-y1)=m(x-x1)
Between 0 and 1.
1/x^a
1/2bh

18. Rough est. of v3 =
S*v2
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
1.7

19. Perimeter (circumference) of a circle
Probability A + Probability B
2 pi r
2(pi)r(r+h)
2pi*r

20. What are the side ratios for a 30:60:90 triangle?
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
Total distance/total time

21. Define the formula for calculating slope.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The four big angles are equal and the four small angles are equal
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Middle term

22. What is the unfactored version of x²-y² ?
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.
(n/2) * (t1+tn)
(x+y)(x-y)
(pi)r^2(h)

23. Perimeter of polygon
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.
Sum of the lengths of the sides
Part of a circle connecting two points on the circle.
1/x^a

24. What do permutation problems often ask for?
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.
Arrangements - orders - schedules - or lists.
1. Given event A: A + notA = 1.
2(pi)r

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

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26. Surface Area of Sphere
S^2
Percentage Change = Difference/Original * 100
4pir^2
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.

27. Area of a trapezoid
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1/2bh
Sqr( x2 -x1) + (y2- y1)

28. Define a factorial of a number - and how it is written.
S² - where s = length of a side
N x M
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.

29. Volume of pyramid
Last term
A²-b²
1/3Bh
(x1+x2)/2 - (y1+y2)/2

30. (a+b)(c+d)
y2-y1/x2-x1
x°/360 times (?r²) - where x is the degrees in the angle
Ac+ad+bc+bd
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.

31. What is the area of a cylinder?
2(pi)r(r+h)
T1 + (n-1)d
1/2bh
1/2bh

32. x^a * x^b = x^__
A+b
(a+b)(a²-ab+b²)
(x1+x2)/2 - (y1+y2)/2
½(b1 +b2) x h [or (b1 +b2) x h÷2]

33. Volume of Cylinder
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'.
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.
T1 * r^(n-1)
Pir^2h

34. Sector
Lwh
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
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.

35. What is the volume of a cylinder?
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
T1 + (n-1)d
(pi)r^2(h)
(n/2) * (t1+tn)

36. Define 'proportionate' values
Pir^2h
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Part of a circle connecting two points on the circle.

37. Area of Circles
A=?r2
y = k/x
1/1
2pi*r

38. 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.
?d OR 2?r
4s (where s = length of a side)
2(lw+wh+lh)

39. 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
½(base x height) [or (base x height)÷2]
Between 0 and 1.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

40. Volume of Cone
?d OR 2?r
(pi)r^2(h)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/3pir^2*h

41. a³+b³
2(pi)r
1/2 h (b1 + b2)
y2-y1/x2-x1
(a+b)(a²-ab+b²)

42. What is the prime factorization of 200?
Bh
2x2x2x5x5
(a-b)(a²+ab+b²)
1/x^a

43. Radius (Radii)
Opens down
Part of a circle connecting two points on the circle.
A segment connecting the center of a circle to any point on the circle
Last term

44. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Between 0 and 1.
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.
4/3pir^3
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.

45. How do you multiply powers with the same base?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
1.4
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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.

46. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.
S*v2
(n degrees/360) * 2(pi)r

47. perimeter of square
(n-2)180
1.7
4s
x°/360 times (2 pi r) - where x is the degrees in the angle

48. What is the area of a circle?
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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
(pi)r^2

49. How do you find the nth term of a geometric sequence?
(n degrees/360) * (pi)r^2
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
T1 * r^(n-1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

50. What is the distance formula?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Probability A * Probability B
Sqr( x2 -x1) + (y2- y1)
Sum of the lengths of the sides