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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. Surface Area of rectangular prism
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
Opens down
(pi)r^2(h)

2. How do you calculate the percentage of change?
?r²
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.
(x-y)²
Percentage Change = Difference/Original * 100

3. What is the unfactored version of (x-y)² ?
(x1+x2)/2 - (y1+y2)/2
x°/360 times (2 pi r) - where x is the degrees in the angle
x² -2xy + 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.

4. What is the formula for the diagonal of any square?
Part of a circle connecting two points on the circle.
A+b
x°/360 times (?r²) - where x is the degrees in the angle
S*v2

5. In a parabola - if the first term is positive - the parabola ________.
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.
Opens up
Arrangements - orders - schedules - or lists.
½(base x height) [or (base x height)÷2]

6. Surface Area of Cylinder
x² + 2xy + y²
2pir^2 + 2pir*h
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
Pi*r^2

7. length of a sector
An ange whose vertex is the center of the circle
Probability A * Probability B
x°/360 times (2 pi r) - where x is the degrees in the angle
(n degrees/360) * (pi)r^2

8. What is the area of a cylinder?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
N x M
1/2bh
2(pi)r(r+h)

9. Perimeter (circumference) of a circle
(a-b)²
2 pi r
Equal
(a+b)(a-b)

10. (a+b)(a-b)=
A²-b²
4s (where s = length of a side)
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.
A=bh

11. Area of Circle
b±[vb²-4ac]/2a
2pir^2 + 2pir*h
Pi*r^2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

12. What are the side ratios for a 30:60:90 triangle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)(a²+ab+b²)
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

13. Does order matter for a permutation? How about for a combination?
(n-2)180
2Length + 2width [or (length + width) x 2]
Order does matter for a permutation - but does not matter for a combination.
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. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
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.
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.
1/3pir^2*h
2l+2w

15. What is the factored version of x² -2xy + y² ?
(x-y)²
S^2
2(pi)r(r+h)
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.

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

17. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Bh
(a-b)(a²+ab+b²)

18. What is the probability?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Number of desired outcomes/number of total outcomes
(a-b)²
A segment connecting the center of a circle to any point on the circle

19. Area of Triangle
(x+y)²
1/2bh
x² + 2xy + y²
The distance across the circle through the center of the circle.The diameter is twice the radius.

20. List two odd behaviors of exponents
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.
The distance from one point on the circle to another point on the circle.
(a-b)(a²+ab+b²)
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.

21. Define a factorial of a number - and how it is written.
x°/360 times (2 pi r) - where x is the degrees in the angle
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)
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.

22. a²-b²
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
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.
(a-b)(a+b)
An ange whose vertex is the center of the circle

23. How do you calculate the surface area of a rectangular box?
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 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.
Middle term
Groups - teams - or committees.

24. What is the volume of a solid rectangle?
(a-b)(a+b)
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.
Lwh
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

25. Surface Area of Sphere
4pir^2
The total # of possible outcomes.
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.
1/1

26. What do combination problems usually ask for?
Groups - teams - or committees.
y-y1=m(x-x1)
(y2-y1)/(x2-x1)
1/3Bh

27. What is the circumference of a circle?
y = k/x
?d OR 2?r
2(pi)r
2l+2w

28. What is the distance formula?
Arrangements - orders - schedules - or lists.
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.
Sqr( x2 -x1) + (y2- y1)
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.

29. Explain the special properties of zero.
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.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
Order does matter for a permutation - but does not matter for a combination.

30. Perimeter of rectangle
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
N x M
2l+2w
Lw

31. How do you multiply and divide square roots?
Sum of terms/number of terms
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

32. For a bell curve - what three terms might be used to describe the number in the middle?
(pi)r^2(h)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The average - mean - median - or mode.

33. Volume of Cone
Not necessarily. This is a trick question - because x could be either positive or negative.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Last term
1/3pir^2*h

34. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
(a+b)²
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
A+b

35. In intersecting lines - opposite angles are _____.
Opens up
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'.
Equal
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.

36. Radius (Radii)
The distance from one point on the circle to another point on the circle.
A segment connecting the center of a circle to any point on the circle
x²-y²
S^2

37. What is the 'Third side' rule for triangles?
(x+y)(x-y)
½(b1 +b2) x h [or (b1 +b2) x h÷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.
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.

38. What kind of triangle is this: has two sides of equal length - and a 90 degree 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.
Probability A + Probability B
Order does matter for a permutation - but does not matter for a combination.
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.

39. Sector
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.
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.
Number of desired outcomes/number of total outcomes
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

40. Define the formula for calculating slope.
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.
?r²
2Length + 2width [or (length + width) x 2]
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

41. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1.7
y-y1=m(x-x1)

42. a²+2ab+b²
x² + 2xy + y²
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a+b)²

43. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
2(pi)r(r+h)
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

44. Area of a triangle
Between 0 and 1.
S² - where s = length of a side
2l+2w
½(base x height) [or (base x height)÷2]

45. Rough est. of v2 =
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.
1.4
The average - mean - median - or mode.
Bh

46. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
(y-y1)=m(x-x1)
4pir^2
A=bh

47. Volume of sphere
(a+b)²
1/2bh
S*v2
4/3pir^3

48. What is the factored version of x² + 2xy + y² ?
Sum of terms/number of terms
Order does matter for a permutation - but does not matter for a combination.
2lw+2lh+2wh
(x+y)²

49. In a coordinate system - identify the quadrants and describe their location.
The total # of possible outcomes.
Last term
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
S*v2

50. Area of a circle
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(pi)r