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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. What is the formula for the diagonal of any square?
1/x^a
Groups - teams - or committees.
S*v2
(n-2)180

2. Point-Slope form
y-y1=m(x-x1)
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'.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n/2) * (t1+tn)

3. Surface Area of rectangular prism
C =?d
1/3Bh
2lw+2lh+2wh
(pi)r^2

4. Surface Area of Sphere
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
(x-y)²
Probability A + Probability B
4pir^2

5. x^-a =
The set of points which are all the same distance (the radius) from a certain point (the center).
1/x^a
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
The four big angles are equal and the four small angles are equal

6. What is the factored version of x² -2xy + y² ?
Sum of terms/number of terms
Groups - teams - or committees.
S*v2
(x-y)²

7. In a parabola - if the first term is positive - the parabola ________.
Opens up
b±[vb²-4ac]/2a
T1 + (n-1)d
2 pi r

8. What is an 'equilateral' triangle?
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.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(pi)r^2
?r²

9. In a coordinate system - identify the quadrants and describe their location.
1/x^a
Sum of terms/number of terms
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
y = kx

10. What is the 'Third side' rule for triangles?
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.
Groups - teams - or committees.
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. Given event A: A + notA = 1.

11. Area of Parallelogram
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.
Bh
4/3pir^3

12. length of a sector
x°/360 times (2 pi r) - where x is the degrees in the angle
(a-b)(a²+ab+b²)
(a-b)(a+b)
C =?d

13. 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.
x²-y²
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.
Part of a circle connecting two points on the circle.

14. 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.
4s (where s = length of a side)
1. Given event A: A + notA = 1.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

15. Circumference of cirlce using diameter
(n degrees/360) * (pi)r^2
(x-y)²
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.
Pi*d

16. What is the area of a solid rectangle?
Opens down
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
2(lw+wh+lh)
(a+b)(a²-ab+b²)

17. Define the mode of a set of numbers.
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.
2lw+2lh+2wh
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.

18. What is the average speed?
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Order does matter for a permutation - but does not matter for a combination.
Last term
Total distance/total time

19. What is the probability?
2 pi r
Number of desired outcomes/number of total outcomes
Less
(a-b)²

20. What'S the most important thing to remember about charts you'll see on the GRE?
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.
Sqr( x2 -x1) + (y2- y1)
x² + 2xy + y²
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.

21. In a coordinate system - what is the origin?
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.
T1 + (n-1)d
(0 -0)
Less

22. What is the length of an arc?
Percentage Change = Difference/Original * 100
(n degrees/360) * 2(pi)r
1/3pir^2*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.

23. What is the area of a triangle?
Total distance/total time
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
(y-y1)=m(x-x1)
1/2bh

24. Sector
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.
Bh
Last term

25. Chord
The four big angles are equal and the four small angles are equal
N x M
2x2x2x5x5
The distance from one point on the circle to another point on the circle.

26. How do you calculate the percentage of change?
Lwh
Percentage Change = Difference/Original * 100
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
y = kx

27. What is the unfactored version of (x+y)² ?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1/3pir^2*h
x² + 2xy + y²
(x-y)²

28. Volume of sphere
Lw
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.
C =?d
4/3pir^3

29. Arc
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
2pi*r
Part of a circle connecting two points on the circle.
1. Given event A: A + notA = 1.

30. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
Middle term
Lw
x² -2xy + y²

31. Area of a sector
?d OR 2?r
S² - where s = length of a side
x² + 2xy + y²
x°/360 times (?r²) - where x is the degrees in the angle

32. (a+b)(a-b)=
A²-b²
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.
Negative
A segment connecting the center of a circle to any point on the circle

33. In intersecting lines - opposite angles are _____.
(pi)r^2
Equal
Pi*d
(x1+x2)/2 - (y1+y2)/2

34. a²-b²
Groups - teams - or committees.
Arrangements - orders - schedules - or lists.
Less
(a-b)(a+b)

35. What is the sum of the inside angles of an n-sided polygon?
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
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(a-b)(a²+ab+b²)
(n-2)180

36. Rough est. of v2 =
4pir^2
1.4
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Equal

37. What do combination problems usually ask for?
Groups - teams - or committees.
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.
Probability A * Probability B
2(pi)r(r+h)

38. Area of rectangle - square - parallelogram
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.
y = k/x
A=bh
(n degrees/360) * (pi)r^2

39. Perimeter of a square
The set of points which are all the same distance (the radius) from a certain point (the center).
(y-y1)=m(x-x1)
4s (where s = length of a side)
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.

40. Area of Trapezoid
(x+y)(x-y)
Between 0 and 1.
x² + 2xy + y²
1/2 h (b1 + b2)

41. a²-2ab+b²
(x+y)(x-y)
(a-b)²
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.
4s (where s = length of a side)

42. What is the circumference of a circle?
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
2(pi)r
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.
½(b1 +b2) x h [or (b1 +b2) x h÷2]

43. Perimeter of a rectangle
T1 + (n-1)d
S^2
1/2 h (b1 + b2)
2Length + 2width [or (length + width) x 2]

44. Area of a circle
(a-b)(a²+ab+b²)
2x2x2x5x5
?r²
(a+b)(a²-ab+b²)

45. What is the factored version of (x+y)(x-y) ?
T1 * r^(n-1)
S*v2
(a-b)²
x²-y²

46. If something is possible but not certain - what is the numeric range of probability of it happening?
2(pi)r(r+h)
Between 0 and 1.
The four big angles are equal and the four small angles are equal
A+b

47. How do you find the nth term of an arithmetic sequence?
(y2-y1)/(x2-x1)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2l+2w
T1 + (n-1)d

48. How do you calculate the surface area of a rectangular box?
(a+b)²
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.
Lw
4s (where s = length of a side)

49. Perimeter of rectangle
2(pi)r(r+h)
(n degrees/360) * (pi)r^2
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.
2l+2w

50. Perimeter of polygon
Sum of the lengths of the sides
2(pi)r
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 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.