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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
Order does matter for a permutation - but does not matter for a combination.
Part of a circle connecting two points on the circle.
Lw
4/3pir^3

2. What is the volume of a solid rectangle?
Lwh
4s
The total # of possible outcomes.
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.

3. The length of one side of any triangle is ____ than the sum of the other two sides.
Order does matter for a permutation - but does not matter for a combination.
Less
?d OR 2?r
(x1+x2)/2 - (y1+y2)/2

4. Circumference Formula
C =?d
2x2x2x5x5
(a+b)(a²-ab+b²)
2pi*r

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

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6. Area of a square
2lw+2lh+2wh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y2-y1/x2-x1
S² - where s = length of a side

7. Define the 'Third side' rule for triangles

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8. Arc
The four big angles are equal and the four small angles are equal
Sum of terms/number of terms
2l+2w
Part of a circle connecting two points on the circle.

9. How do you calculate the percentage of change?
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.
Percentage Change = Difference/Original * 100
1. Given event A: A + notA = 1.
C =?d

10. 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.
Negative
S*v2
Percentage Change = Difference/Original * 100

11. What is the area of a solid 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.
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.
2(lw+wh+lh)
2l+2w

12. Point-Slope form
y-y1=m(x-x1)
(y-y1)=m(x-x1)
4s
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.

13. 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.
2l+2w
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.
T1 * r^(n-1)

14. Perimeter of rectangle
(0 -0)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(a-b)(a+b)
2l+2w

15. What do combination problems usually ask for?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
4pir^2
Groups - teams - or committees.
C =?d

16. In a parabola - if the first term is positive - the parabola ________.
Opens up
Bh
Bh
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

17. In a coordinate system - what is the origin?
(a-b)²
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
(0 -0)

18. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
x²-y²
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.
1. Given event A: A + notA = 1.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

19. When you reverse FOIL - the term that needs to add out is the _____
(pi)r^2
Equal
Bh
Middle term

20. Define a factorial of a number - and how it is written.
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
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.
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.

21. What is the equation of a line?

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22. How do you solve a permutation?
y = kx
2 pi r
(n degrees/360) * (pi)r^2
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

23. For a bell curve - what three terms might be used to describe the number in the middle?
Number of desired outcomes/number of total outcomes
Bh
The average - mean - median - or mode.
Sum of the lengths of the sides

24. How do you find the sum of an arithmetic sequence?
Order does matter for a permutation - but does not matter for a combination.
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.
4/3pir^3
(n/2) * (t1+tn)

25. How do you find the nth term of a geometric sequence?
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.
T1 * r^(n-1)
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.
Negative

26. Surface Area of Sphere
4pir^2
N x M
2pir^2 + 2pir*h
Ac+ad+bc+bd

27. Surface Area of rectangular prism
(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.
Groups - teams - or committees.
2lw+2lh+2wh

28. In a parabola - if the first term is negative - the parabola ________.
S^2
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 down
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

29. What is the average?
1
Bh
Sum of terms/number of terms
The distance from one point on the circle to another point on the circle.

30. What is the factored version of (x+y)(x-y) ?
2 pi r
1.7
x²-y²
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. 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.
Sqr( x2 -x1) + (y2- y1)
S² - where s = length of a side
2pi*r

32. Area of 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.
(pi)r^2(h)
Pi*r^2
An ange whose vertex is the center of the circle

33. Area of a triangle
(n-2)180
1. Given event A: A + notA = 1.
½(base x height) [or (base x height)÷2]
Not necessarily. This is a trick question - because x could be either positive or negative.

34. 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.
Between 0 and 1.
(y2-y1)/(x2-x1)
1/2bh

35. Area of Rectangle
x² -2xy + y²
Lw
1/x^a
Sqr( x2 -x1) + (y2- y1)

36. Area of Triangle
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.
1/2bh
4s
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. What is the factored version of x² -2xy + y² ?
A=?r2
(x-y)²
(a+b)(a-b)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

38. (a+b)(c+d)
2pi*r
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.
Ac+ad+bc+bd
1/1

39. a³+b³
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+b)(a²-ab+b²)
1/2bh
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

40. Area of Trapezoid
(a+b)(a-b)
1/2 h (b1 + b2)
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.
2 pi r

41. How do you find the slope?
y2-y1/x2-x1
Number of desired outcomes/number of total outcomes
2(pi)r(r+h)
1. Given event A: A + notA = 1.

42. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
(n-2)180
?r²
2lw+2lh+2wh

43. What is the 'distributive law'?
Bh
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.
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.

44. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
The average - mean - median - or mode.
Lw
Ac+ad+bc+bd

45. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
Pi*r^2
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

46. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.
y = kx
(0 -0)

47. How do you multiply and divide square roots?
1.7
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
x°/360 times (?r²) - where x is the degrees in the angle

48. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
T1 * r^(n-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.
2(pi)r

49. What are the side ratios for a 30:60:90 triangle?
(0 -0)
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
2pi*r

50. Area of rectangle - square - parallelogram
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.
The total # of possible outcomes.
Total distance/total time
A=bh