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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 rectangle - square - parallelogram
1/3Bh
The distance from one point on the circle to another point on the circle.
A=bh
Lw

2. Area of Rectangle
(a-b)(a²+ab+b²)
N x M
Lw
(0 -0)

3. What is the 'Third side' rule for triangles?
(a-b)(a²+ab+b²)
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 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.

4. Volume of Cone
?d OR 2?r
2pir^2 + 2pir*h
1/3pir^2*h
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

5. How do you calculate a diagonal inside a 3-dimensional rectangular box?
(x+y)²
Sum of the lengths of the sides
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/1

6. Arc
Part of a circle connecting two points on the circle.
S*v2
2pi*r
A=bh

7. a³-b³
½(base x height) [or (base x height)÷2]
The distance from one point on the circle to another point on the circle.
(a-b)(a²+ab+b²)
Ac+ad+bc+bd

8. What is the area of a sector?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(n degrees/360) * (pi)r^2
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A+b

9. How do you find the nth term of an arithmetic sequence?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(pi)r^2(h)
A=bh
T1 + (n-1)d

10. The length of one side of any triangle is ____ than the sum of the other two sides.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
Less

11. Rough est. of v3 =
Sum of terms/number of terms
The set of points which are all the same distance (the radius) from a certain point (the center).
1.4
1.7

12. What is the point-slope form?
(y-y1)=m(x-x1)
1.4
(n/2) * (t1+tn)
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.

13. Rough est. of v2 =
4s (where s = length of a side)
1.4
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(n degrees/360) * 2(pi)r

14. What is the average?
Sum of terms/number of terms
A segment connecting the center of a circle to any point on the circle
(x-y)²
2pi*r

15. Circumference Formula
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.
4/3pir^3
C =?d
S^2

16. Perimeter of a rectangle
Lwh
x²-y²
2Length + 2width [or (length + width) x 2]
(n/2) * (t1+tn)

17. What is the volume of a solid rectangle?
(y2-y1)/(x2-x1)
Equal
2pir^2 + 2pir*h
Lwh

18. Surface Area of rectangular prism
Groups - teams - or committees.
2lw+2lh+2wh
Part of a circle connecting two points on the circle.
x°/360 times (?r²) - where x is the degrees in the angle

19. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
2 pi r
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
(0 -0)

20. What must be true before a quadratic equation can be solved?

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21. 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
A+b
A²-b²
1/x^a

22. What is the length of an arc?
1/3Bh
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.
(n degrees/360) * 2(pi)r
x² + 2xy + y²

23. Perimeter (circumference) of a circle
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 pi r
½(base x height) [or (base x height)÷2]
2lw+2lh+2wh

24. How do you calculate the percentage of change?
A²-b²
Percentage Change = Difference/Original * 100
1.7
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. Point-Slope form
y-y1=m(x-x1)
Probability A + Probability B
(n degrees/360) * (pi)r^2
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

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

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27. How do you multiply powers with the same base?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
2lw+2lh+2wh
1

28. What is the formula for the diagonal of any square?
S*v2
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.
4s
1. Given event A: A + notA = 1.

29. What is the volume of a cylinder?
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.
2(pi)r(r+h)
(pi)r^2(h)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

30. What do combination problems usually ask for?
2(pi)r
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
1/3Bh
Groups - teams - or committees.

31. a³+b³
Percentage Change = Difference/Original * 100
2x2x2x5x5
Opens down
(a+b)(a²-ab+b²)

32. In a coordinate system - what is the origin?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Negative
Between 0 and 1.
(0 -0)

33. For a bell curve - what three terms might be used to describe the number in the middle?
Bh
The average - mean - median - or mode.
(a+b)(a²-ab+b²)
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.

34. Perimeter of polygon
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.
(y2-y1)/(x2-x1)
y2-y1/x2-x1
Sum of the lengths of the sides

35. What is the circumference of a circle?
Not necessarily. This is a trick question - because x could be either positive or negative.
Probability A * Probability B
Opens up
2(pi)r

36. Explain the special properties of zero.
Probability A * Probability B
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
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. Surface Area of Cylinder
(a+b)(a²-ab+b²)
2pir^2 + 2pir*h
Negative
1/3pir^2*h

38. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
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.
(a+b)(a-b)
y2-y1/x2-x1

39. If something is possible but not certain - what is the numeric range of probability of it happening?
1
Between 0 and 1.
Order does matter for a permutation - but does not matter for a combination.
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

40. Circumference of cirlce using diameter
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.
1/3Bh
Pi*d
T1 * r^(n-1)

41. Perimeter of a square
4s (where s = length of a side)
(pi)r^2
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
Between 0 and 1.

42. In a coordinate system - identify the quadrants and describe their location.
y = k/x
Equal
Lwh
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

43. What is the area of a cylinder?
2(pi)r(r+h)
Negative
2pir^2 + 2pir*h
(a+b)(a-b)

44. What is the prime factorization of 200?
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.
2pir^2 + 2pir*h
Part of a circle connecting two points on the circle.
2x2x2x5x5

45. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Ac+ad+bc+bd
Probability A + Probability B
Number of desired outcomes/number of total outcomes
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

46. Slope
y = k/x
(y2-y1)/(x2-x1)
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

47. a² - b² is equal to
(a+b)(a-b)
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
1/3Bh
?r²

48. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
Sqr( x2 -x1) + (y2- y1)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

49. If x² = 144 - does v144 = x?
Bh
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.
A²-b²
Not necessarily. This is a trick question - because x could be either positive or negative.

50. What is the unfactored version of (x+y)² ?
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.
1.4
x² + 2xy + y²
?r²