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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. How do you find the nth term of a geometric sequence?
T1 * r^(n-1)
2(pi)r
S*v2
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.

2. Volume of sphere
(y2-y1)/(x2-x1)
4/3pir^3
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1.7

3. x^-a =
The average - mean - median - or mode.
(n-2)180
1/x^a
2pir^2 + 2pir*h

4. Circumference Formula
x°/360 times (?r²) - where x is the degrees in the angle
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.
S^2
C =?d

5. What is the prime factorization of 200?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
2x2x2x5x5
Groups - teams - or committees.
1/2bh

6. What is the unfactored version of (x+y)² ?
4s (where s = length of a side)
x² + 2xy + y²
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.

7. Point-Slope form
y-y1=m(x-x1)
(n/2) * (t1+tn)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
?r²

8. Volume of prism
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
Number of desired outcomes/number of total outcomes
Bh
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.

9. What is a 'Right isosceles' triangle?
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.
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.
1. Given event A: A + notA = 1.
Bh

10. What'S the most important thing to remember about charts you'll see on the GRE?
Groups - teams - or committees.
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
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.
(n-2)180

11. How do you calculate the probability of two events in a row? (Probability of A and B)
4/3pir^3
T1 + (n-1)d
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
Probability A * Probability B

12. x^a * x^b = x^__
x² -2xy + y²
C =?d
A+b
2pir^2 + 2pir*h

13. 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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14. Surface Area of rectangular prism
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.
Part of a circle connecting two points on the circle.
2lw+2lh+2wh
Arrangements - orders - schedules - or lists.

15. Area of Trapezoid
Total distance/total time
1/1
1/2 h (b1 + b2)
Ac+ad+bc+bd

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

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17. If something is possible but not certain - what is the numeric range of probability of it happening?
Probability A * Probability B
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Bh
Between 0 and 1.

18. What is inversely proportional?
The distance across the circle through the center of the circle.The diameter is twice the radius.
y = k/x
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.

19. Central Angle
An ange whose vertex is the center of the circle
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
The four big angles are equal and the four small angles are equal
4/3pir^3

20. Explain the special properties of zero.
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.
?d OR 2?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.
Bh

21. In a coordinate system - identify the quadrants and describe their location.
The total # of possible outcomes.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(y2-y1)/(x2-x1)
2x2x2x5x5

22. Area of Triangle
2lw+2lh+2wh
b±[vb²-4ac]/2a
1/2bh
x² -2xy + y²

23. What is the area of a triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
1/2bh
(x+y)(x-y)
?r²

24. What do permutation problems often ask for?
Order does matter for a permutation - but does not matter for a combination.
Arrangements - orders - schedules - or lists.
1
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.

25. Circumference of a circle
(0 -0)
4s
?d OR 2?r
1/3Bh

26. Arc
½(base x height) [or (base x height)÷2]
Part of a circle connecting two points on the circle.
(y2-y1)/(x2-x1)
(n-2)180

27. Area of Square
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Equal
x°/360 times (2 pi r) - where x is the degrees in the angle
S^2

28. Rough est. of v3 =
1.7
2l+2w
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(x-y)²

29. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
4s
1/3pir^2*h
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

30. What is the circumference of a circle?
Not necessarily. This is a trick question - because x could be either positive or negative.
4pir^2
Less
2(pi)r

31. How do you calculate the percentage of change?
2l+2w
(n/2) * (t1+tn)
Percentage Change = Difference/Original * 100
2Length + 2width [or (length + width) x 2]

32. Circumference of a circle using radius
2lw+2lh+2wh
2pi*r
1/3Bh
Ac+ad+bc+bd

33. What is the unfactored version of (x-y)² ?
(n degrees/360) * 2(pi)r
x² -2xy + y²
The average - mean - median - or mode.
y-y1=m(x-x1)

34. What is the 'Third side' rule for triangles?
Opens down
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
(a+b)²

35. a²+2ab+b²
(a+b)²
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Part of a circle connecting two points on the circle.
(0 -0)

36. If x² = 144 - does v144 = x?
Equal
1/3Bh
Not necessarily. This is a trick question - because x could be either positive or negative.
2(pi)r(r+h)

37. Lines reflected over the x or y axis have ____ slopes.
Middle term
Negative
Not necessarily. This is a trick question - because x could be either positive or negative.
(n degrees/360) * (pi)r^2

38. What is the average?
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
Sum of terms/number of terms
C =?d
Not necessarily. This is a trick question - because x could be either positive or negative.

39. Define the 'Third side' rule for triangles

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40. The probability of an event happening and the probability of an event NOT happening must add up to what number?
A=bh
y = kx
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1. Given event A: A + notA = 1.

41. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
A=bh
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 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.

42. What is the point-slope form?
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
x°/360 times (2 pi r) - where x is the degrees in the angle
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.
(y-y1)=m(x-x1)

43. perimeter of square
2(pi)r
4s
y = k/x
(n-2)180

44. In a parabola - if the first term is positive - the parabola ________.
x°/360 times (?r²) - where x is the degrees in the angle
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
Opens up

45. Perimeter of a rectangle
A²-b²
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.
2Length + 2width [or (length + width) x 2]
Middle term

46. Surface Area of Cylinder
An ange whose vertex is the center of the circle
A²-b²
Ac+ad+bc+bd
2pir^2 + 2pir*h

47. What is the volume of a cylinder?
(pi)r^2(h)
2(lw+wh+lh)
½(base x height) [or (base x height)÷2]
2pir^2 + 2pir*h

48. Area of a triangle
½(base x height) [or (base x height)÷2]
?d OR 2?r
The distance from one point on the circle to another point on the circle.
A=bh

49. Surface Area of Sphere
2pi*r
(n degrees/360) * (pi)r^2
4pir^2
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. Volume of Cone
Ac+ad+bc+bd
1/3pir^2*h
Arrangements - orders - schedules - or lists.
Bh

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GRE Math 2

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