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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 a circle
?r²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Last term
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.

2. Volume of sphere
4/3pir^3
Groups - teams - or committees.
x°/360 times (?r²) - where x is the degrees in the angle
(y2-y1)/(x2-x1)

3. x^a * x^b = x^__
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
b±[vb²-4ac]/2a
2(pi)r
A+b

4. Area of Circle
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.
Groups - teams - or committees.
Pi*r^2
(n degrees/360) * (pi)r^2

5. Does order matter for a permutation? How about for a combination?
Last term
Less
Order does matter for a permutation - but does not matter for a combination.
(a+b)(a²-ab+b²)

6. What is the side ratio for a 30:60:90 triangle?
S^2
(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.
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.

7. What number goes on the bottom of a probability fraction?
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 part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
The total # of possible outcomes.
2pi*r

8. The length of one side of any triangle is ____ than the sum of the other two sides.
Less
b±[vb²-4ac]/2a
?d OR 2?r
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.

9. Define the mode of a set of numbers.
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.
Probability A + Probability B
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh

10. Arc
Part of a circle connecting two points on the circle.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
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.

11. Area of Square
S^2
x°/360 times (?r²) - where x is the degrees in the angle
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 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.

12. How do you find the slope?
y2-y1/x2-x1
Not necessarily. This is a trick question - because x could be either positive or negative.
Lw
2Length + 2width [or (length + width) x 2]

13. Surface Area of Sphere
4pir^2
(a+b)(a²-ab+b²)
y = k/x
2pi*r

14. Define a factorial of a number - and how it is written.
A+b
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.
4s (where s = length of a side)
(pi)r^2

15. Area of a sector
2(pi)r(r+h)
x°/360 times (?r²) - where x is the degrees in the angle
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
A+b

16. What is the surface area of a cylinder?
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.
2(pi)r(r+h)
(n degrees/360) * (pi)r^2
(x+y)²

17. Circumference of a circle using radius
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
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
2pi*r
A=bh

18. Explain the special properties of zero.
The set of points which are all the same distance (the radius) from a certain point (the center).
Probability A + Probability 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
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.

19. What is the 'distributive law'?
1. Given event A: A + notA = 1.
?r²
T1 + (n-1)d
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.

20. a² - b² is equal to
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.
Total distance/total time
(a+b)(a-b)
2(pi)r(r+h)

21. Volume of prism
Bh
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)(a+b)

22. Define the formula for calculating slope.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(a+b)²

23. How do you calculate the surface area of a rectangular box?
4/3pir^3
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.
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.
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.

24. How do you multiply powers with the same base?
Sum of the lengths of the sides
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x² + 2xy + y²
(a-b)(a²+ab+b²)

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

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26. perimeter of square
2x2x2x5x5
Order does matter for a permutation - but does not matter for a combination.
4s
1.4

27. What is the area of a triangle?
1.4
(x+y)(x-y)
(a+b)(a-b)
1/2bh

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

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29. When you reverse FOIL - the term that needs to add out is the _____
(n degrees/360) * (pi)r^2
Sum of terms/number of terms
Middle term
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.

30. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
2Length + 2width [or (length + width) x 2]
2l+2w
A=bh

31. Rough est. of v2 =
Sqr( x2 -x1) + (y2- y1)
1.4
4s (where s = length of a side)
Groups - teams - or committees.

32. How do you calculate a diagonal inside a 3-dimensional rectangular box?
S*v2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(n degrees/360) * (pi)r^2

33. Rough est. of v3 =
A+b
1.7
(x+y)(x-y)
S^2

34. Lines reflected over the x or y axis have ____ slopes.
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.
Ac+ad+bc+bd
Negative
1.7

35. a²-2ab+b²
(a-b)²
1/x^a
2pi*r
(a+b)(a-b)

36. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
Sqr( x2 -x1) + (y2- y1)
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 circle'S perimeter is roughly 3x its diameter (the formula is pd).

37. What is an 'equilateral' triangle?
(n/2) * (t1+tn)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Less
(a+b)(a²-ab+b²)

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

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39. Circumference of a circle
Bh
x°/360 times (?r²) - where x is the degrees in the angle
?d OR 2?r
1/x^a

40. What is the unfactored version of x²-y² ?
(x+y)(x-y)
2 pi r
?d OR 2?r
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

41. Perimeter of a square
Pi*r^2
A segment connecting the center of a circle to any point on the circle
4s (where s = length of a side)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

42. What is the volume of a solid rectangle?
2l+2w
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.
(n degrees/360) * 2(pi)r
Lwh

43. Area of a trapezoid
1.7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Lwh
½(b1 +b2) x h [or (b1 +b2) x h÷2]

44. What is the volume of a cylinder?
1/2bh
2(pi)r
½(base x height) [or (base x height)÷2]
(pi)r^2(h)

45. Slope
(y2-y1)/(x2-x1)
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.
A=?r2
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.

46. What is the unfactored version of (x-y)² ?
2(pi)r(r+h)
x² -2xy + y²
(a+b)²
Number of desired outcomes/number of total outcomes

47. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
Part of a circle connecting two points on the circle.
4/3pir^3
1/2bh

48. Area of a triangle
½(base x height) [or (base x height)÷2]
1. Given event A: A + notA = 1.
(pi)r^2(h)
b±[vb²-4ac]/2a

49. Volume of Cylinder
1/2 h (b1 + b2)
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.
Sum of the lengths of the sides
Pir^2h

50. a³+b³
Total distance/total time
(a+b)(a²-ab+b²)
1. Given event A: A + notA = 1.
C =?d