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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. How do you find the sum of an arithmetic sequence?
1/1
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.
(n/2) * (t1+tn)
C =?d

2. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
An ange whose vertex is the center of the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
1/x^a
N x M

3. Volume of prism
Bh
4s
1/2 h (b1 + b2)
?r²

4. Area of Parallelogram
Negative
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1.7
Bh

5. Rough est. of v3 =
1.7
2pir^2 + 2pir*h
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.
Part of a circle connecting two points on the circle.

6. Area of a circle
Probability A * Probability B
(x-y)²
?r²
(a+b)(a²-ab+b²)

7. How do you multiply powers with the same base?
S^2
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
N x M

8. Circumference of cirlce using diameter
A²-b²
(n-2)180
2pir^2 + 2pir*h
Pi*d

9. Perimeter of rectangle
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.
2l+2w
x°/360 times (2 pi r) - where x is the degrees in the angle
2(pi)r(r+h)

10. Area of Circles
A=?r2
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.
b±[vb²-4ac]/2a
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. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2x2x2x5x5
Negative
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.

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

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13. In a coordinate system - identify the quadrants and describe their location.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/1
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.

14. How do you find the slope?
y2-y1/x2-x1
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
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.
4s

15. List two odd behaviors of exponents
?d OR 2?r
Opens up
The distance from one point on the circle to another point on the 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.

16. Area of a sector
x°/360 times (?r²) - where x is the degrees in the angle
Bh
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 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.

17. What is the factored version of x² -2xy + y² ?
(x-y)²
Percentage Change = Difference/Original * 100
Less
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

18. Lines reflected over the x or y axis have ____ slopes.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Negative
4/3pir^3
Total distance/total time

19. What is the factored version of (x+y)(x-y) ?
(a-b)(a+b)
1.4
x²-y²
(0 -0)

20. What is the volume of a cylinder?
(a-b)(a+b)
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(h)
An ange whose vertex is the center of the circle

21. What is the circumference of a circle?
Arrangements - orders - schedules - or lists.
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.
Groups - teams - or committees.
2(pi)r

22. What is directly proportional?
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.
y = kx
Middle term
1

23. What is the area of a sector?
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'.
(n degrees/360) * (pi)r^2
Sum of terms/number of terms
Pi*d

24. Circle
Pir^2h
Arrangements - orders - schedules - or lists.
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 set of points which are all the same distance (the radius) from a certain point (the center).

25. Point-Slope form
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
Order does matter for a permutation - but does not matter for a combination.
1. Given event A: A + notA = 1.
y-y1=m(x-x1)

26. 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.
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.
Opens down
1

27. What is the formula for the diagonal of any square?
S*v2
2(pi)r(r+h)
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
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.

28. Define the mode of a set of numbers.
2(pi)r
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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. 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

29. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
The set of points which are all the same distance (the radius) from a certain point (the center).
Bh
Probability A + Probability B

30. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
(n degrees/360) * 2(pi)r
S*v2
1/x^a

31. What do combination problems usually ask for?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
x² -2xy + y²
Last term
Groups - teams - or committees.

32. (a+b)(a-b)=
(a-b)(a²+ab+b²)
T1 * r^(n-1)/(r-1)
A²-b²
(a+b)(a-b)

33. perimeter of square
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.
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.
4s
(a-b)(a²+ab+b²)

34. What is the side ratio for a 30:60:90 triangle?
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Not necessarily. This is a trick question - because x could be either positive or negative.
Sum of the lengths of the sides

35. How do you solve a permutation?
T1 * r^(n-1)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Probability A * Probability B
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

36. Volume of sphere
A=?r2
4/3pir^3
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.
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.

37. Perimeter (circumference) of a circle
4s (where s = length of a side)
2 pi r
The total # of possible outcomes.
N x M

38. What is the average speed?
Total distance/total time
C =?d
b±[vb²-4ac]/2a
A²-b²

39. (a+b)(c+d)
x°/360 times (2 pi r) - where x is the degrees in the angle
Last term
Lwh
Ac+ad+bc+bd

40. How do you multiply and divide square roots?
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The set of points which are all the same distance (the radius) from a certain point (the center).
S^2

41. Does order matter for a permutation? How about for a combination?
Order does matter for a permutation - but does not matter for a combination.
Between 0 and 1.
Bh
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.

42. Area of a triangle
Equal
2 pi r
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.
½(base x height) [or (base x height)÷2]

43. What is the area of a solid rectangle?
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.
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 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(lw+wh+lh)

44. When a line crosses two parallel lines - ________.
(a-b)²
A segment connecting the center of a circle to any point on the 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.
The four big angles are equal and the four small angles are equal

45. What is the factored version of x² + 2xy + y² ?
Pi*d
Less
(x+y)²
Sqr( x2 -x1) + (y2- y1)

46. length of a sector
2lw+2lh+2wh
y-y1=m(x-x1)
x°/360 times (2 pi r) - where x is the degrees in the angle
b±[vb²-4ac]/2a

47. What is inversely proportional?
(n/2) * (t1+tn)
x²-y²
y = k/x
(a-b)(a²+ab+b²)

48. What'S the most important thing to remember about charts you'll see on the GRE?
Pir^2h
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
1/2bh

49. When you reverse FOIL - the term that needs to add out is the _____
1/2bh
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Middle term

50. What is the average?
2l+2w
(x-y)²
½(base x height) [or (base x height)÷2]
Sum of terms/number of terms