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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 area of a circle?
Arrangements - orders - schedules - or lists.
(pi)r^2
T1 + (n-1)d
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.

2. Perimeter of polygon
1.7
2lw+2lh+2wh
½(base x height) [or (base x height)÷2]
Sum of the lengths of the sides

3. Define the range of a set of numbers.
N x M
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.
S^2
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.

4. Diameter
1. Given event A: A + notA = 1.
Lw
The distance across the circle through the center of the circle.The diameter is twice the radius.
2(pi)r(r+h)

5. Surface Area of Cylinder
Between 0 and 1.
The set of points which are all the same distance (the radius) from a certain point (the center).
2pir^2 + 2pir*h
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

6. (a+b)(a-b)=
Arrangements - orders - schedules - or lists.
A²-b²
(x+y)(x-y)
C =?d

7. a²+2ab+b²
½(base x height) [or (base x height)÷2]
(a+b)²
Probability A + Probability B
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'.

8. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
T1 * r^(n-1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a-b)²
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.

9. To divide powers with the same base...
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
N x M

10. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
(pi)r^2(h)
The distance from one point on the circle to another point on the circle.
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

11. Area of a circle
2x2x2x5x5
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.
?r²
x°/360 times (2 pi r) - where x is the degrees in the angle

12. If x² = 144 - does v144 = x?
1/3Bh
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

13. Explain the special properties of zero.
(pi)r^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Part of a circle connecting two points on the circle.
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.

14. What is the side ratio 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.
Probability A * Probability B
(x1+x2)/2 - (y1+y2)/2
1/3pir^2*h

15. Define 'proportionate' values
Lwh
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
The total # of possible outcomes.
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.

16. Perimeter (circumference) of a circle
(pi)r^2(h)
2 pi r
The four big angles are equal and the four small angles are equal
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

17. How do you find the nth term of an arithmetic sequence?
Not necessarily. This is a trick question - because x could be either positive or negative.
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.
T1 + (n-1)d
y = k/x

18. Circumference of a circle using radius
2pi*r
Less
1/2bh
2(pi)r(r+h)

19. Perimeter of a rectangle
S*v2
2(pi)r
2Length + 2width [or (length + width) x 2]
Probability A + Probability B

20. What'S the most important thing to remember about charts you'll see on the GRE?
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.
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.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

21. What is the factored version of (x+y)(x-y) ?
(a-b)²
x²-y²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2Length + 2width [or (length + width) x 2]

22. Area of a triangle
Lw
½(base x height) [or (base x height)÷2]
x°/360 times (?r²) - where x is the degrees in the angle
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.

23. Rough est. of v1 =
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.
(x1+x2)/2 - (y1+y2)/2
1
Less

24. a² - b² is equal to
2(pi)r
(a+b)(a-b)
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.
Last term

25. Arc
Part of a circle connecting two points on the circle.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Percentage Change = Difference/Original * 100
A+b

26. Area of Parallelogram
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
1/x^a
(n degrees/360) * (pi)r^2
Bh

27. What is the 'distributive law'?
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.
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.
4/3pir^3
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.

28. If something is possible but not certain - what is the numeric range of probability of it happening?
Equal
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.
Between 0 and 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.

29. a²-2ab+b²
N x M
(a-b)²
(x1+x2)/2 - (y1+y2)/2
Groups - teams - or committees.

30. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
T1 * r^(n-1)/(r-1)
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
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A=bh

31. Volume of Cylinder
S^2
1.7
Number of desired outcomes/number of total outcomes
Pir^2h

32. Volume of pyramid
2(pi)r(r+h)
Number of desired outcomes/number of total outcomes
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'.
1/3Bh

33. What is the equation of a line?

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34. Point-Slope form
y-y1=m(x-x1)
(n-2)180
2 pi r
Probability A + Probability B

35. Area of Triangle
(a-b)(a+b)
Pi*r^2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2bh

36. Radius (Radii)
4pir^2
A segment connecting the center of a circle to any point on the circle
2(pi)r
2Length + 2width [or (length + width) x 2]

37. Area of Trapezoid
Last term
Opens down
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.
1/2 h (b1 + b2)

38. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
Negative
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Sum of terms/number of terms

39. How do you find the slope?
y2-y1/x2-x1
The total # of possible outcomes.
(a+b)(a-b)
C =?d

40. Define the formula for calculating slope.
Lw
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?r²

41. a³-b³
Order does matter for a permutation - but does not matter for a combination.
(n degrees/360) * 2(pi)r
2Length + 2width [or (length + width) x 2]
(a-b)(a²+ab+b²)

42. What number goes on the bottom of a probability fraction?
Bh
?d OR 2?r
The total # of possible outcomes.
½(base x height) [or (base x height)÷2]

43. In a parabola - if the first term is negative - the parabola ________.
2x2x2x5x5
Pi*r^2
Opens down
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.

44. a²-b²
(a-b)(a+b)
The distance from one point on the circle to another point on the circle.
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.

45. What is the volume of a solid rectangle?
Lwh
Pi*d
A=bh
Ac+ad+bc+bd

46. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
N x M
Groups - teams - or committees.
T1 * r^(n-1)
Equal

47. What is the side ratio for a Right Isosceles triangle?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Pi*d
(x1+x2)/2 - (y1+y2)/2
T1 + (n-1)d

48. Quadratic Formula
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
T1 * r^(n-1)/(r-1)
Lwh
b±[vb²-4ac]/2a

49. Sector
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.
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.
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)180

50. What do permutation problems often ask for?
S² - where s = length of a side
Opens up
y-y1=m(x-x1)
Arrangements - orders - schedules - or lists.