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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. Lines reflected over the x or y axis have ____ slopes.
2x2x2x5x5
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
2l+2w
Negative

2. What are the side ratios for a 30:60:90 triangle?
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
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n degrees/360) * (pi)r^2
T1 + (n-1)d

3. Point-Slope form
y-y1=m(x-x1)
(0 -0)
2x2x2x5x5
2(lw+wh+lh)

4. What is the volume of a solid rectangle?
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.
Lwh
(y2-y1)/(x2-x1)
x² -2xy + y²

5. If something is possible but not certain - what is the numeric range of probability of it happening?
An ange whose vertex is the center of the circle
(a-b)(a²+ab+b²)
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.
Between 0 and 1.

6. a³+b³
Not necessarily. This is a trick question - because x could be either positive or negative.
(a+b)(a²-ab+b²)
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 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.

7. What is the point-slope form?
(n-2)180
(y-y1)=m(x-x1)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
1

8. How do you calculate the probability of two events in a row? (Probability of A and B)
Probability A * Probability B
(pi)r^2(h)
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.
2(pi)r(r+h)

9. Define the range of a set of numbers.
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
?r²

10. To divide powers with the same base...
(a-b)(a+b)
A segment connecting the center of a circle to any point on the circle
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

11. Define the 'Third side' rule for triangles

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12. In a coordinate system - identify the quadrants and describe their location.
Negative
½(b1 +b2) x h [or (b1 +b2) x h÷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
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

13. Area of Square
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.
S^2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
4s (where s = length of a side)

14. What is the volume of a cylinder?
(pi)r^2(h)
Groups - teams - or committees.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A segment connecting the center of a circle to any point on the circle

15. (a+b)(a-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.
(n degrees/360) * (pi)r^2
A²-b²
1.4

16. a²-2ab+b²
(a-b)²
Less
1/1
The total # of possible outcomes.

17. What is the 'Third side' rule for triangles?
T1 * r^(n-1)/(r-1)
(a+b)(a-b)
A segment connecting the center of a circle to any point on the circle
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.

18. Perimeter of a rectangle
Bh
Arrangements - orders - schedules - or lists.
2lw+2lh+2wh
2Length + 2width [or (length + width) x 2]

19. Perimeter of a square
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.
(n/2) * (t1+tn)
4s (where s = length of a side)

20. When you reverse FOIL - the term that needs to add out is the _____
Pi*r^2
Middle term
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.
4s

21. List two odd behaviors of exponents
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)
An ange whose vertex is the center of the circle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

22. Area of a trapezoid
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pi*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.
1

23. Area of Parallelogram
2x2x2x5x5
x² -2xy + y²
Bh
Ac+ad+bc+bd

24. What is the area of a cylinder?
x² + 2xy + y²
2(pi)r(r+h)
Opens up
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

25. Circumference of cirlce using diameter
Pi*d
A=bh
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.
1.7

26. Rough est. of v3 =
x² + 2xy + y²
Probability A * Probability B
Not necessarily. This is a trick question - because x could be either positive or negative.
1.7

27. If something is certain to happen - how is the probability of this event expressed mathematically?
Total distance/total time
2l+2w
1/1
x² -2xy + y²

28. What is a 'Right isosceles' triangle?
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.
Order does matter for a permutation - but does not matter for a combination.
Part of a circle connecting two points on the circle.
Middle term

29. Radius (Radii)
Order does matter for a permutation - but does not matter for a combination.
Pir^2h
(a+b)(a²-ab+b²)
A segment connecting the center of a circle to any point on the circle

30. Area of a square
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.
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.
S² - where s = length of a side
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.

31. Surface Area of Sphere
A=?r2
4pir^2
2lw+2lh+2wh
4s

32. What is the factored version of x² + 2xy + y² ?
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.
Lwh
(x+y)²
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

33. Perimeter of polygon
y2-y1/x2-x1
Sum of the lengths of the sides
A=bh
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. In a parabola - if the first term is positive - the parabola ________.
Sum of terms/number of terms
Opens up
Pi*d
(pi)r^2

35. Surface Area of Cylinder
Opens down
½(base x height) [or (base x height)÷2]
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
2pir^2 + 2pir*h

36. 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.
N x M
Lwh
(a+b)²

37. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
The distance from one point on the circle to another point on the circle.
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 x M
Middle term

38. Circumference Formula
(n degrees/360) * 2(pi)r
C =?d
The set of points which are all the same distance (the radius) from a certain point (the center).
A=?r2

39. For a bell curve - what three terms might be used to describe the number in the middle?
b±[vb²-4ac]/2a
The four big angles are equal and the four small angles are equal
Arrangements - orders - schedules - or lists.
The average - mean - median - or mode.

40. What is the circumference of a circle?
2(pi)r
2pir^2 + 2pir*h
(a+b)(a-b)
(x-y)²

41. What is the formula for the diagonal of any square?
S*v2
x²-y²
?r²
1/x^a

42. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Arrangements - orders - schedules - or lists.
Opens up
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
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.

43. How do you find the nth term of an arithmetic sequence?
Bh
T1 * r^(n-1)/(r-1)
?r²
T1 + (n-1)d

44. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

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45. Perimeter (circumference) of a circle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
2 pi r
2(pi)r(r+h)
Lw

46. How do you multiply and divide square roots?
4s
(a-b)(a+b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
2(pi)r

47. What is the area of a sector?
(n degrees/360) * (pi)r^2
Pir^2h
(0 -0)
A²-b²

48. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
1/3pir^2*h
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
Order does matter for a permutation - but does not matter for a combination.
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.

49. Circumference of a circle using radius
x² + 2xy + y²
1.7
T1 * r^(n-1)/(r-1)
2pi*r

50. What is the area of a triangle?
Equal
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
1/2bh