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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.
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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 do combination problems usually ask for?
2pi*r
Number of desired outcomes/number of total outcomes
Groups - teams - or committees.
y = k/x

2. What is the point-slope form?
Last term
(y-y1)=m(x-x1)
1
Lw

3. Chord
(y2-y1)/(x2-x1)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
The distance from one point on the circle to another point on the circle.

4. What is the sum of the inside angles of an n-sided polygon?
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.
?r
(n-2)180
2(pi)r

5. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
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.
x-y
Less

6. Volume of prism
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Part of a circle connecting two points on the circle.
Between 0 and 1.
Bh

7. Area of rectangle - square - parallelogram
y = k/x
(pi)r^2
Bh
A=bh

8. What is the factored version of x -2xy + y ?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(x+y)
(x-y)
2l+2w

9. How do you find the nth term of a geometric sequence?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
T1 * r^(n-1)
1/2 h (b1 + b2)
(a-b)

10. How do you find the sum of a geometric sequence?
Arrangements - orders - schedules - or lists.
T1 * r^(n-1)/(r-1)
2pir^2 + 2pir*h
2(lw+wh+lh)

11. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
Opens down
(n degrees/360) * 2(pi)r
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.

12. x^a * x^b = x^__
A+b
Sum of terms/number of terms
(pi)r^2(h)
(n/2) * (t1+tn)

13. (a+b)(c+d)
(a+b)(a-b)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
Ac+ad+bc+bd
x-y

14. Circumference of a circle
?d OR 2?r
1.4
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/2) * (t1+tn)

15. What is the distance formula?
(n/2) * (t1+tn)
Sqr( x2 -x1) + (y2- y1)
Opens down
The total # of possible outcomes.

16. If something is possible but not certain - what is the numeric range of probability of it happening?
The set of points which are all the same distance (the radius) from a certain point (the center).
Between 0 and 1.
(pi)r^2(h)
Ac+ad+bc+bd

17. Lines reflected over the x or y axis have ____ slopes.
y = kx
Negative
Between 0 and 1.
4pir^2

18. Area of Square
S^2
Ac+ad+bc+bd
Less
Part of a circle connecting two points on the circle.

19. a - b is equal to
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
(a+b)(a-b)
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.
An ange whose vertex is the center of the circle

20. In intersecting lines - opposite angles are _____.
y = k/x
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Equal
Total distance/total time

21. What is the prime factorization of 200?
(x1+x2)/2 - (y1+y2)/2
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
The four big angles are equal and the four small angles are equal
2x2x2x5x5

22. To divide powers with the same base...
2pi*r
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.
(a+b)(a-b)
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5

23. Surface Area of rectangular prism
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.
(pi)r^2(h)
2lw+2lh+2wh
(n-2)180

24. What is directly proportional?
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.
y = kx
(b1 +b2) x h [or (b1 +b2) x h2]

25. How do you calculate the surface area of a rectangular box?
Arrangements - orders - schedules - or lists.
The four big angles are equal and the four small angles are equal
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.
4s (where s = length of a side)

26. Perimeter of a square
N x M
4s (where s = length of a side)
1/3pir^2*h
2(lw+wh+lh)

27. Area of a sector
x/360 times (?r) - where x is the degrees in the angle
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.
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.
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.

28. What is the probability?
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.
Number of desired outcomes/number of total outcomes
A=?r2
(0 -0)

29. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
1.7
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
1/2 h (b1 + b2)
Sum of terms/number of terms

30. What is the formula for the diagonal of any square?
The distance from one point on the circle to another point on the circle.
S*v2
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
The set of points which are all the same distance (the radius) from a certain point (the center).

31. Diameter
4pir^2
The distance across the circle through the center of the circle.The diameter is twice the radius.
T1 * r^(n-1)/(r-1)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

32. Circumference of a circle using radius
The average - mean - median - or mode.
Number of desired outcomes/number of total outcomes
2pi*r
2lw+2lh+2wh

33. Circumference of cirlce using diameter
(n-2)180
(a+b)(a-b)
Pi*d
x + 2xy + y

34. For a bell curve - what three terms might be used to describe the number in the middle?
Percentage Change = Difference/Original * 100
Total distance/total time
The average - mean - median - or mode.
A+b

35. If x = 144 - does v144 = x?
2lw+2lh+2wh
Not necessarily. This is a trick question - because x could be either positive or negative.
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2) = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287 = 1.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

36. What is the 'distributive law'?
(pi)r^2
A segment connecting the center of a circle to any point on the circle
Pi*d
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.

37. What'S the most important thing to remember about charts you'll see on the GRE?
x/360 times (?r) - where x is the degrees in the angle
(b1 +b2) x h [or (b1 +b2) x h2]
Probability A + Probability B
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.

38. List two odd behaviors of exponents
y-y1=m(x-x1)
1/3Bh
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2) = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287 = 1.
Lw

39. a-2ab+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
A=bh
Last term

40. Define the formula for calculating slope.
Less
The distance across the circle through the center of the circle.The diameter is twice the radius.
The formula is a + b + c = d where a - b - c are the dimensions of the figure and d is the diagonal.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

41. What is the unfactored version of (x-y) ?
(0 -0)
1/2bh
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
x -2xy + y

42. Explain the difference between a digit and a number.
(x-y)
1. Given event A: A + notA = 1.
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.
(y-y1)=m(x-x1)

43. Area of a triangle
2lw+2lh+2wh
(a-b)(a+ab+b)
(base x height) [or (base x height)2]
The four big angles are equal and the four small angles are equal

44. (a+b)(a-b)=
A-b
The distance across the circle through the center of the circle.The diameter is twice the radius.
Total distance/total time
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.

45. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
(x-y)
(n/2) * (t1+tn)
The distance from one point on the circle to another point on the circle.

46. perimeter of square
N x M
4s
Sum of the lengths of the sides
A segment connecting the center of a circle to any point on the circle

47. How do you find the midpoint?
1. Given event A: A + notA = 1.
(x1+x2)/2 - (y1+y2)/2
Opens down
Last term

48. What is 'absolute value' - and how is it represented?
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.
1/3Bh
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Pir^2h

49. Quadratic Formula
b[vb-4ac]/2a
1. Given event A: A + notA = 1.
(y-y1)=m(x-x1)
Probability A + Probability B

50. Define the mode of a set of numbers.
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
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.
T1 * r^(n-1)/(r-1)
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

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