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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 '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.
1. Given event A: A + notA = 1.
½(b1 +b2) x h [or (b1 +b2) x h÷2]
(0 -0)

2. What is the point-slope form?
1
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.
2pi*r
(y-y1)=m(x-x1)

3. Explain the special properties of zero.
x² + 2xy + y²
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.
Arrangements - orders - schedules - or lists.
(a-b)(a²+ab+b²)

4. Area of Trapezoid
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
1/2 h (b1 + b2)
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
2(pi)r(r+h)

5. What is the sum of the inside angles of an n-sided polygon?
Between 0 and 1.
Percentage Change = Difference/Original * 100
1/1
(n-2)180

6. Define the 'Third side' rule for triangles

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7. What do combination problems usually ask for?
Sum of the lengths of the sides
Groups - teams - or committees.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7

8. How do you calculate a diagonal inside a 3-dimensional rectangular box?
(a-b)²
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2(pi)r(r+h)
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'.

9. Central Angle
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.
An ange whose vertex is the center of the circle
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(x-y)²

10. How do you find the slope?
x² + 2xy + y²
Equal
y2-y1/x2-x1
Lwh

11. a²+2ab+b²
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.
y-y1=m(x-x1)
(a+b)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

12. For a bell curve - what three terms might be used to describe the number in the middle?
Probability A + Probability B
1/2bh
The average - mean - median - or mode.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.

13. 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 x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
Negative
C =?d
Arrangements - orders - schedules - or lists.

14. What is the prime factorization of 200?
A segment connecting the center of a circle to any point on the circle
2x2x2x5x5
4s (where s = length of a side)
Number of desired outcomes/number of total outcomes

15. length of a sector
1/2 h (b1 + b2)
Total distance/total time
x°/360 times (2 pi r) - where x is the degrees in the angle
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

16. What are the side ratios for a 30:60:90 triangle?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pi*r
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Order does matter for a permutation - but does not matter for a combination.

17. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Groups - teams - or committees.
Number of desired outcomes/number of total outcomes
(0 -0)

18. How do you find the nth term of a geometric sequence?
x² -2xy + y²
y-y1=m(x-x1)
Equal
T1 * r^(n-1)

19. What'S a handy rough estimate for a circle'S perimeter - if you know it'S diameter?

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20. perimeter of square
1.7
4s
x² -2xy + y²
Negative

21. What'S the most important thing to remember about charts you'll see on the GRE?
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
b±[vb²-4ac]/2a
Less

22. In a coordinate system - identify the quadrants and describe their location.
4pir^2
x°/360 times (2 pi r) - where x is the degrees in the angle
x²-y²
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

23. a²-b²
Order does matter for a permutation - but does not matter for a combination.
(a-b)(a+b)
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
4s

24. Slope
1/x^a
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
(y2-y1)/(x2-x1)

25. Volume of prism
Pi*d
(n/2) * (t1+tn)
Bh
(0 -0)

26. When you reverse FOIL - the term that needs to multiply out is the _____
The distance across the circle through the center of the circle.The diameter is twice the radius.
Last term
Pi*d
(a-b)(a²+ab+b²)

27. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
The distance from one point on the circle to another point on the circle.
Percentage Change = Difference/Original * 100
(a-b)(a²+ab+b²)
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.

28. What is the average?
S² - where s = length of a side
Sum of terms/number of terms
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.
Middle term

29. What is 'absolute value' - and how is it represented?

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30. What is the volume of a cylinder?
(a+b)²
(x1+x2)/2 - (y1+y2)/2
(a-b)²
(pi)r^2(h)

31. What is inversely proportional?
Pi*d
y = k/x
y = kx
Groups - teams - or committees.

32. x^a * x^b = x^__
A+b
1/2bh
2(pi)r(r+h)
½(b1 +b2) x h [or (b1 +b2) x h÷2]

33. When a line crosses two parallel lines - ________.
The four big angles are equal and the four small angles are equal
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.
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.
Middle term

34. If something is possible but not certain - what is the numeric range of probability of it happening?
2l+2w
2(pi)r(r+h)
Between 0 and 1.
T1 * r^(n-1)/(r-1)

35. Arc
(pi)r^2
Part of a circle connecting two points on the circle.
The distance across the circle through the center of the circle.The diameter is twice the radius.
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.

36. If x² = 144 - does v144 = x?
1/2bh
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.
Not necessarily. This is a trick question - because x could be either positive or negative.
T1 * r^(n-1)/(r-1)

37. What is the unfactored version of x²-y² ?
1.7
(x+y)(x-y)
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.
½(base x height) [or (base x height)÷2]

38. Area of rectangle - square - parallelogram
1/3Bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
A=bh
x°/360 times (?r²) - where x is the degrees in the angle

39. Area of Circles
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
A=?r2
4/3pir^3
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

40. a³-b³
2 pi r
N x M
(a-b)(a²+ab+b²)
y-y1=m(x-x1)

41. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
A=?r2
N x M
1/2 h (b1 + b2)
4s (where s = length of a side)

42. What is the unfactored version of (x+y)² ?
Lwh
y = kx
Ac+ad+bc+bd
x² + 2xy + y²

43. Area of Square
2l+2w
S^2
2(pi)r(r+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.

44. Explain the difference between a digit and a number.

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45. How do you find the nth term of an arithmetic sequence?
Bh
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.
T1 + (n-1)d
Probability A + Probability B

46. The probability of an event happening and the probability of an event NOT happening must add up to what number?
x² -2xy + y²
1. Given event A: A + notA = 1.
b±[vb²-4ac]/2a
(n/2) * (t1+tn)

47. What is the circumference of a circle?
4/3pir^3
2(pi)r
(n degrees/360) * 2(pi)r
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.

48. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
(x+y)(x-y)
(n degrees/360) * 2(pi)r
Probability A + Probability B

49. What is the factored version of (x+y)(x-y) ?
Percentage Change = Difference/Original * 100
x²-y²
Ac+ad+bc+bd
An ange whose vertex is the center of the circle

50. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
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
x² + 2xy + y²
x°/360 times (?r²) - where x is the degrees in the angle
y2-y1/x2-x1