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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. When you reverse FOIL - the term that needs to add out is the _____
Middle term
C =?d
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.
Less

2. Arc
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.
1
Part of a circle connecting two points on the circle.
y = kx

3. What is the unfactored version of (x+y)² ?
(a+b)²
x² + 2xy + y²
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
1.4

4. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
(pi)r^2

5. Volume of prism
Bh
Part of a circle connecting two points on the circle.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

6. Rough est. of v1 =
2(pi)r
1
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

7. Define the mode of a set of numbers.
Sqr( x2 -x1) + (y2- y1)
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
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.

8. What is a 'Right isosceles' triangle?
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.
(x+y)²
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.
2pi*r

9. What is directly proportional?
y = kx
Opens down
(x+y)(x-y)
The set of points which are all the same distance (the radius) from a certain point (the center).

10. Circumference of a circle using radius
Bh
2pi*r
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(a-b)(a²+ab+b²)

11. Explain the special properties of zero.
Opens down
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.
Equal
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.

12. What number goes on the bottom of a probability fraction?
y-y1=m(x-x1)
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.
A²-b²
The total # of possible outcomes.

13. 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).
Lwh
Pir^2h
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.

14. Area of a trapezoid
Equal
½(b1 +b2) x h [or (b1 +b2) x h÷2]
The set of points which are all the same distance (the radius) from a certain point (the center).
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.

15. Rough est. of v3 =
(pi)r^2
Total distance/total time
1.7
2(pi)r

16. What is the point-slope form?
(y-y1)=m(x-x1)
1. Given event A: A + notA = 1.
Bh
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.

17. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(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.

18. Perimeter (circumference) of a 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.
Opens up
2 pi r
2(pi)r(r+h)

19. a²-b²
1/1
(a-b)(a+b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
1

20. Chord
The distance from one point on the circle to another point on the circle.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2x2x2x5x5
(n degrees/360) * 2(pi)r

21. Quadratic Formula
S*v2
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)(a-b)
b±[vb²-4ac]/2a

22. What is the length of an arc?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n degrees/360) * 2(pi)r
2(pi)r(r+h)
The set of points which are all the same distance (the radius) from a certain point (the center).

23. Circumference of cirlce using diameter
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
(n degrees/360) * 2(pi)r
An ange whose vertex is the center of the circle
Pi*d

24. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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.
Probability A + Probability B
N x M

25. What is the surface area of a cylinder?
(n degrees/360) * (pi)r^2
2(pi)r(r+h)
x°/360 times (2 pi r) - where x is the degrees in the angle
A+b

26. If something is possible but not certain - what is the numeric range of probability of it happening?
Between 0 and 1.
A²-b²
Sum of terms/number of terms
1/2bh

27. The probability of an event happening and the probability of an event NOT happening must add up to what number?
A segment connecting the center of a circle to any point on the circle
1/1
1. Given event A: A + notA = 1.
?r²

28. Perimeter of polygon
b±[vb²-4ac]/2a
x² -2xy + y²
Sum of the lengths of the sides
S^2

29. (a+b)(c+d)
Ac+ad+bc+bd
2 pi r
S*v2
Negative

30. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
Bh
Probability A * Probability B
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.

31. 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.
2(pi)r(r+h)
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.
(y2-y1)/(x2-x1)

32. Area of Rectangle
?d OR 2?r
Lw
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

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

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34. Perimeter of rectangle
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.
2l+2w
Groups - teams - or committees.
1

35. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1/1
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.
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.
Ac+ad+bc+bd

36. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
The average - mean - median - or mode.
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.
y = kx

37. If something is certain to happen - how is the probability of this event expressed mathematically?
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.
4/3pir^3
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.
1/1

38. Diameter
A²-b²
(x+y)²
The distance across the circle through the center of the circle.The diameter is twice the radius.
Bh

39. x^a * x^b = x^__
Part of a circle connecting two points on the circle.
4s
A+b
(pi)r^2

40. Does order matter for a permutation? How about for a combination?
2Length + 2width [or (length + width) x 2]
(pi)r^2
Order does matter for a permutation - but does not matter for a combination.
The average - mean - median - or mode.

41. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
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.
(a-b)(a²+ab+b²)
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.
N x M

42. Define the range of a set of numbers.
1.7
T1 + (n-1)d
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.
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.

43. Perimeter of a square
4s (where s = length of a side)
(y-y1)=m(x-x1)
x² -2xy + y²
2(pi)r(r+h)

44. In a coordinate system - identify the quadrants and describe their location.
A segment connecting the center of a circle to any point on the circle
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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2(pi)r(r+h)

45. Circumference of a circle
?d OR 2?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.
N x M
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

46. What is the 'Third side' rule for triangles?
(a+b)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.
1
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.

47. Area of a sector
(pi)r^2
Opens down
1.7
x°/360 times (?r²) - where x is the degrees in the angle

48. What is the side ratio for a 30:60:90 triangle?
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.
(x1+x2)/2 - (y1+y2)/2
1
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

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

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50. Central Angle
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.
1.7
A segment connecting the center of a circle to any point on the circle
An ange whose vertex is the center of the circle