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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'S the most important thing to remember about charts you'll see on the GRE?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Sum of terms/number of terms
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/x^a

2. Does order matter for a permutation? How about for a combination?
y = k/x
Order does matter for a permutation - but does not matter for a combination.
(a+b)(a²-ab+b²)
(n-2)180

3. How do you solve a permutation?
Opens down
(n/2) * (t1+tn)
Part of a circle connecting two points on the circle.
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

4. Area of a square
Less
S² - where s = length of a side
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
4/3pir^3

5. How do you find the midpoint?
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.
y2-y1/x2-x1
(x1+x2)/2 - (y1+y2)/2
b±[vb²-4ac]/2a

6. How do you multiply powers with the same base?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(a-b)²
(x1+x2)/2 - (y1+y2)/2
Opens up

7. What is the equation of a line?

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8. Area of Trapezoid
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The set of points which are all the same distance (the radius) from a certain point (the center).
1/2 h (b1 + b2)
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

9. What is the area of a cylinder?
4pir^2
?r²
(a-b)(a+b)
2(pi)r(r+h)

10. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
(y-y1)=m(x-x1)
Last term
2pi*r

11. What is directly proportional?
S^2
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
Ac+ad+bc+bd
y = kx

12. a² - b² is equal to
(a+b)(a-b)
Number of desired outcomes/number of total outcomes
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n degrees/360) * (pi)r^2

13. Volume of pyramid
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
T1 * r^(n-1)
1/3Bh
y = kx

14. Define the mode of a set of numbers.
Last term
y = kx
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.
Sqr( x2 -x1) + (y2- y1)

15. In a parabola - if the first term is negative - the parabola ________.
Last term
A+b
Opens down
x²-y²

16. What is the average?
The four big angles are equal and the four small angles are equal
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.
Sum of terms/number of terms
Arrangements - orders - schedules - or lists.

17. What is the volume of a cylinder?
(pi)r^2(h)
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2(lw+wh+lh)

18. For a bell curve - what three terms might be used to describe the number in the middle?
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 pi r
The average - mean - median - or mode.
2lw+2lh+2wh

19. Area of Circles
Ac+ad+bc+bd
Pir^2h
Negative
A=?r2

20. Volume of prism
x² + 2xy + y²
(pi)r^2
S*v2
Bh

21. What is the factored version of x² + 2xy + y² ?
2l+2w
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.
(x+y)²
The four big angles are equal and the four small angles are equal

22. Rough est. of v2 =
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.
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.
Sqr( x2 -x1) + (y2- y1)
1.4

23. perimeter of square
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
4s
Bh
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

24. What do combination problems usually ask for?
Groups - teams - or committees.
?d OR 2?r
C =?d
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

25. x^a * x^b = x^__
Sqr( x2 -x1) + (y2- y1)
Pi*d
Part of a circle connecting two points on the circle.
A+b

26. What is the factored version of x² -2xy + y² ?
1. Given event A: A + notA = 1.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(x-y)²
b±[vb²-4ac]/2a

27. Area of rectangle - square - parallelogram
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.
1/3Bh
Pir^2h
A=bh

28. When you reverse FOIL - the term that needs to multiply out is the _____
Last term
(a+b)(a²-ab+b²)
2(lw+wh+lh)
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.

29. Define 'proportionate' values
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
(a+b)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.
1/2 h (b1 + b2)

30. In a coordinate system - identify the quadrants and describe their location.
Total distance/total time
N x M
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.

31. When a line crosses two parallel lines - ________.
The set of points which are all the same distance (the radius) from a certain point (the center).
The distance from one point on the circle to another point on the circle.
The four big angles are equal and the four small angles are equal
Bh

32. a²+2ab+b²
C =?d
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Probability A * Probability B
(a+b)²

33. Perimeter of polygon
Total distance/total time
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.
Sum of the lengths of the sides
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

34. What do permutation problems often ask for?
Bh
Arrangements - orders - schedules - or lists.
Last term
Total distance/total time

35. Area of Square
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(n degrees/360) * (pi)r^2
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.
S^2

36. What is the unfactored version of (x+y)² ?
2(pi)r(r+h)
Arrangements - orders - schedules - or lists.
(x+y)²
x² + 2xy + y²

37. How do you calculate the percentage of change?
(a+b)(a-b)
Percentage Change = Difference/Original * 100
A²-b²
4pir^2

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

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39. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
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.
1/3Bh
Bh
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.

40. What is the circumference of a circle?
2(pi)r
(a-b)(a²+ab+b²)
(0 -0)
Negative

41. What is the unfactored version of (x-y)² ?
Part of a circle connecting two points on the circle.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
x² -2xy + y²
(a-b)(a+b)

42. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
(y-y1)=m(x-x1)
The distance from one point on the circle to another point on the circle.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

43. Diameter
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
The distance across the circle through the center of the circle.The diameter is twice the radius.
(0 -0)
1/2bh

44. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x°/360 times (?r²) - where x is the degrees in the angle
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.

45. What is the length of an arc?
The average - mean - median - or mode.
1/3Bh
?d OR 2?r
(n degrees/360) * 2(pi)r

46. Define a factorial of a number - and how it is written.
(y-y1)=m(x-x1)
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.
2 pi r
Groups - teams - or committees.

47. length of a sector
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.
1.4
x°/360 times (2 pi r) - where x is the degrees in the angle
1/2 h (b1 + b2)

48. Radius (Radii)
A segment connecting the center of a circle to any point on the circle
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
N x M
Bh

49. Area of Triangle
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
(a+b)²
The set of points which are all the same distance (the radius) from a certain point (the center).

50. Surface Area of Sphere
4pir^2
1.4
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.
2l+2w