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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 Parallelogram
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.
2(pi)r(r+h)
Bh
y = kx

2. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(lw+wh+lh)
C =?d
T1 * r^(n-1)

3. Define 'proportionate' values
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.
y = k/x
Number of desired outcomes/number of total outcomes
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

4. Define the formula for calculating slope.
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
?d OR 2?r
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.

5. What is the area of a sector?
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.
(n degrees/360) * (pi)r^2
(x-y)²
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. Define the 'Third side' rule for triangles

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7. What is the factored version of x² -2xy + y² ?
Sum of terms/number of terms
(0 -0)
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.
(x-y)²

8. Circle
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.
Order does matter for a permutation - but does not matter for a combination.
The set of points which are all the same distance (the radius) from a certain point (the center).
2lw+2lh+2wh

9. How do you find the slope?
2pi*r
x² -2xy + y²
(a-b)(a²+ab+b²)
y2-y1/x2-x1

10. How do you find the nth term of a geometric sequence?
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
T1 * r^(n-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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

11. In intersecting lines - opposite angles are _____.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
x°/360 times (2 pi r) - where x is the degrees in the angle
Equal
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.

12. What is the factored version of x² + 2xy + y² ?
(x+y)²
4pir^2
Percentage Change = Difference/Original * 100
2pir^2 + 2pir*h

13. Area of Trapezoid
1/2 h (b1 + b2)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.
1/1

14. Volume of Cone
2(pi)r
1/3pir^2*h
A=?r2
Part of a circle connecting two points on the circle.

15. What is the distance formula?
(x+y)(x-y)
1
Sqr( x2 -x1) + (y2- y1)
A²-b²

16. a²-2ab+b²
4pir^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
Ac+ad+bc+bd
(a-b)²

17. Volume of prism
½(base x height) [or (base x height)÷2]
Bh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Sqr( x2 -x1) + (y2- y1)

18. Define the mode of a set of numbers.
Order does matter for a permutation - but does not matter for a combination.
Arrangements - orders - schedules - or lists.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

19. How do you find the sum of an arithmetic sequence?
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.
Pi*d
Part of a circle connecting two points on the circle.
(n/2) * (t1+tn)

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

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21. What is the average speed?
(a-b)(a²+ab+b²)
Total distance/total time
The set of points which are all the same distance (the radius) from a certain point (the center).
T1 * r^(n-1)/(r-1)

22. What is the 'Third side' rule for triangles?
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=?r2
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

23. When you reverse FOIL - the term that needs to add out is the _____
A²-b²
(a-b)(a+b)
Middle term
Not necessarily. This is a trick question - because x could be either positive or negative.

24. What is the factored version of (x+y)(x-y) ?
2Length + 2width [or (length + width) x 2]
(x+y)(x-y)
x²-y²
Sum of the lengths of the sides

25. Perimeter of a square
x°/360 times (?r²) - where x is the degrees in the angle
(a+b)(a-b)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s (where s = length of a side)

26. Perimeter of polygon
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.
Sum of the lengths of the sides
Middle term
1/2bh

27. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
An ange whose vertex is the center of the circle
Probability A + Probability B
Pi*r^2
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.

28. a³-b³
Less
(a-b)(a²+ab+b²)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

29. Surface Area of rectangular prism
2lw+2lh+2wh
Not necessarily. This is a trick question - because x could be either positive or negative.
1/2bh
(a+b)(a-b)

30. Volume of pyramid
S² - where s = length of a side
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.
y = kx
1/3Bh

31. What is the equation of a line?

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32. If x² = 144 - does v144 = x?
S^2
Not necessarily. This is a trick question - because x could be either positive or negative.
(x+y)²
Sqr( x2 -x1) + (y2- y1)

33. What is the length of an arc?
1.4
2lw+2lh+2wh
2x2x2x5x5
(n degrees/360) * 2(pi)r

34. perimeter of square
4s
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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.

35. What is the unfactored version of (x-y)² ?
(x+y)(x-y)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
x² -2xy + y²
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. How do you calculate the surface area of a rectangular box?
y-y1=m(x-x1)
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x1+x2)/2 - (y1+y2)/2

37. Radius (Radii)
Lwh
(a+b)(a²-ab+b²)
The distance across the circle through the center of the circle.The diameter is twice the radius.
A segment connecting the center of a circle to any point on the circle

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

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39. Area of a triangle
1/2bh
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.
½(base x height) [or (base x height)÷2]
(n/2) * (t1+tn)

40. What number goes on the bottom of a probability fraction?
x²-y²
Sum of terms/number of terms
(0 -0)
The total # of possible outcomes.

41. Surface Area of Cylinder
The set of points which are all the same distance (the radius) from a certain point (the center).
2pir^2 + 2pir*h
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
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

42. How do you multiply powers with the same base?
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
The average - mean - median - or mode.
(n degrees/360) * 2(pi)r

43. What do permutation problems often ask for?
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
1
Arrangements - orders - schedules - or lists.
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.

44. (a+b)(a-b)=
Sum of terms/number of terms
T1 * r^(n-1)/(r-1)
A²-b²
1

45. Circumference of cirlce using diameter
Percentage Change = Difference/Original * 100
Pi*d
2Length + 2width [or (length + width) x 2]
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.

46. Arc
2(pi)r(r+h)
Part of a circle connecting two points on the circle.
(pi)r^2(h)
Sum of terms/number of terms

47. For a bell curve - what three terms might be used to describe the number in the middle?
Bh
The average - mean - median - or mode.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.

48. Volume of Cylinder
(y2-y1)/(x2-x1)
Pir^2h
4pir^2
1/1

49. What is the unfactored version of (x+y)² ?
x² + 2xy + y²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
A segment connecting the center of a circle to any point on the circle
A=?r2

50. The length of one side of any triangle is ____ than the sum of the other two sides.
1.4
Less
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.
(n degrees/360) * 2(pi)r

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GRE Math 2

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