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GRE Math 2

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Volume of prism
2(pi)r(r+h)
Bh
Lw
1/1

2. What is the area of a triangle?
1/1
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.
1/2bh
2(pi)r(r+h)

3. Define the range of a set of numbers.
1.4
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.
(y2-y1)/(x2-x1)
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.

4. Volume of sphere
1
4/3pir^3
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Total distance/total time

5. Quadratic Formula
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The total # of possible outcomes.
Last term
b±[vb²-4ac]/2a

6. Area of a square
A²-b²
Opens up
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.
S² - where s = length of a side

7. What is the length of an arc?
(n degrees/360) * 2(pi)r
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
Pir^2h

8. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
Opens down
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
Pir^2h

9. Rough est. of v3 =
(pi)r^2
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
1.7
y-y1=m(x-x1)

10. What is the factored version of x² + 2xy + y² ?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

11. Does order matter for a permutation? How about for a combination?
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 terms/number of terms
1/2 h (b1 + b2)
Order does matter for a permutation - but does not matter for a combination.

12. 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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13. Circumference Formula
C =?d
An ange whose vertex is the center of the circle
(n degrees/360) * 2(pi)r
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

14. Area of Circles
The average - mean - median - or mode.
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.
A=?r2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

15. In a coordinate system - what is the origin?
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
2pir^2 + 2pir*h
Equal
(0 -0)

16. What is an 'equilateral' triangle?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
A=?r2
(a+b)(a-b)
1/3Bh

17. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.

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18. Volume of Cone
Probability A + Probability B
(x+y)(x-y)
1/3pir^2*h
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.

19. What is the side ratio for a Right Isosceles triangle?
(0 -0)
Pir^2h
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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

20. Central Angle
?r²
(x+y)²
A=?r2
An ange whose vertex is the center of the circle

21. Area of a triangle
1. Given event A: A + notA = 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.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
½(base x height) [or (base x height)÷2]

22. Circumference of a circle using radius
2pi*r
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Opens up
Ac+ad+bc+bd

23. Rough est. of v2 =
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.
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
1/2 h (b1 + b2)

24. What is the prime factorization of 200?
2x2x2x5x5
A²-b²
(a-b)(a+b)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

25. What is inversely proportional?
Probability A + Probability B
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
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.
y = k/x

26. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
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.
1.7
y = k/x

27. a²-b²
(0 -0)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(a-b)(a+b)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

28. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
A segment connecting the center of a circle to any point on the circle
Not necessarily. This is a trick question - because x could be either positive or negative.
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.

29. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A + Probability B
Opens down
The total # of possible outcomes.
(n degrees/360) * (pi)r^2

30. What is the unfactored version of (x+y)² ?
The distance from one point on the circle to another point on the circle.
x² + 2xy + y²
2l+2w
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

31. Circle
The set of points which are all the same distance (the radius) from a certain point (the center).
Bh
Less
y = k/x

32. Define the formula for calculating slope.
The distance across the circle through the center of the circle.The diameter is twice the radius.
1/2bh
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
b±[vb²-4ac]/2a

33. Volume of pyramid
1/3Bh
Negative
A segment connecting the center of a circle to any point on the circle
The four big angles are equal and the four small angles are equal

34. What is the volume of a cylinder?
2pir^2 + 2pir*h
(pi)r^2(h)
2 pi r
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.

35. Point-Slope form
Order does matter for a permutation - but does not matter for a combination.
y-y1=m(x-x1)
A=bh
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.

36. What is the side ratio for a 30:60:90 triangle?
Bh
S*v2
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(n-2)180

37. What is the factored version of x² -2xy + y² ?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x-y)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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

38. 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.
T1 * r^(n-1)/(r-1)
2x2x2x5x5
(pi)r^2

39. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
Sum of terms/number of terms
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
x°/360 times (?r²) - where x is the degrees in the angle
N x M

40. Area of rectangle - square - parallelogram
(a-b)²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
A=bh
Not necessarily. This is a trick question - because x could be either positive or negative.

41. Surface Area of Cylinder
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.
2pir^2 + 2pir*h
½(b1 +b2) x h [or (b1 +b2) x h÷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.

42. Perimeter of polygon
Sum of the lengths of the sides
Pi*r^2
4pir^2
Opens down

43. a²+2ab+b²
Pi*d
Equal
2(lw+wh+lh)
(a+b)²

44. Define the mode of a set of numbers.
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.
Between 0 and 1.
A=bh
4s

45. Surface Area of Sphere
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.
4/3pir^3
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
4pir^2

46. Rough est. of v1 =
?r²
2x2x2x5x5
1
Sqr( x2 -x1) + (y2- y1)

47. For a bell curve - what three terms might be used to describe the number in the middle?
A=bh
1/3Bh
The average - mean - median - or mode.
Last term

48. Define 'proportionate' values
½(b1 +b2) x h [or (b1 +b2) x h÷2]
T1 * r^(n-1)
Lw
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.

49. The probability of an event happening and the probability of an event NOT happening must add up to what number?
1. Given event A: A + notA = 1.
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
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.

50. What is the formula for the diagonal of any square?
b±[vb²-4ac]/2a
Pi*r^2
S*v2
x² + 2xy + y²

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GRE Math 2

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