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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'S the most important thing to remember about charts you'll see on the GRE?
(n degrees/360) * (pi)r^2
y = k/x
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.
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.

2. In a coordinate system - what is the origin?
Between 0 and 1.
A+b
(0 -0)
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.

3. What is the circumference of a circle?
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
A=bh
Bh
2(pi)r

4. What is directly proportional?
y = kx
Bh
T1 * r^(n-1)
(n degrees/360) * (pi)r^2

5. How do you multiply and divide square roots?
An ange whose vertex is the center of the circle
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Probability A * Probability B
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.

6. What is the side ratio for a Right Isosceles triangle?
Number of desired outcomes/number of total outcomes
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
N x M
1

7. Rough est. of v2 =
2pir^2 + 2pir*h
1.4
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.
A+b

8. How do you find the sum of an arithmetic sequence?
The distance across the circle through the center of the circle.The diameter is twice the radius.
(n/2) * (t1+tn)
?d OR 2?r
A=bh

9. a³-b³
½(base x height) [or (base x height)÷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.
(a-b)(a²+ab+b²)
(pi)r^2

10. The length of one side of any triangle is ____ than the sum of the other two sides.
(n degrees/360) * 2(pi)r
x² + 2xy + y²
y2-y1/x2-x1
Less

11. a²+2ab+b²
N x M
(a+b)²
1/1
A=?r2

12. Sector
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
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.
1.7

13. Area of Rectangle
Lw
(a+b)(a²-ab+b²)
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.
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.

14. How do you find the slope?
?r²
y2-y1/x2-x1
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.
1

15. Radius (Radii)
A=?r2
T1 + (n-1)d
A segment connecting the center of a circle to any point on the circle
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

16. Define the 'Third side' rule for triangles

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17. Area of Parallelogram
The average - mean - median - or mode.
A+b
Bh
Sum of terms/number of terms

18. Area of Trapezoid
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.
2(pi)r
1/2 h (b1 + b2)
1.7

19. What is the area of a cylinder?
2(pi)r(r+h)
The distance across the circle through the center of the circle.The diameter is twice the radius.
A segment connecting the center of a circle to any point on the circle
Sum of the lengths of the sides

20. List two odd behaviors of exponents
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
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.
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.

21. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
2pir^2 + 2pir*h
½(base x height) [or (base x height)÷2]
x°/360 times (2 pi r) - where x is the degrees in the angle

22. What is the factored version of x² + 2xy + y² ?
2(pi)r(r+h)
4/3pir^3
2pi*r
(x+y)²

23. Area of rectangle - square - parallelogram
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
A=bh
?r²
Probability A + Probability B

24. Area of a trapezoid
(a-b)(a²+ab+b²)
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
Bh

25. Lines reflected over the x or y axis have ____ slopes.
Negative
2pir^2 + 2pir*h
(a+b)²
2l+2w

26. What is the prime factorization of 200?
2lw+2lh+2wh
2x2x2x5x5
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.
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.

27. What is the volume of a solid rectangle?
2pir^2 + 2pir*h
x°/360 times (2 pi r) - where x is the degrees in the angle
Lwh
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

28. What is the formula for the diagonal of any square?
x²-y²
Not necessarily. This is a trick question - because x could be either positive or negative.
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'.
S*v2

29. The probability of an event happening and the probability of an event NOT happening must add up to what number?
½(base x height) [or (base x height)÷2]
A segment connecting the center of a circle to any point on the circle
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
1. Given event A: A + notA = 1.

30. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Arrangements - orders - schedules - or lists.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
1/2 h (b1 + b2)
Order does matter for a permutation - but does not matter for a combination.

31. What is the length of an arc?
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.
The set of points which are all the same distance (the radius) from a certain point (the center).
(n degrees/360) * 2(pi)r
(a-b)(a²+ab+b²)

32. Volume of Cylinder
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
Pir^2h
Bh
Probability A + Probability B

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

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34. What is the area of a solid rectangle?
2(lw+wh+lh)
A segment connecting the center of a circle to any point on the circle
Probability A * Probability B
4pir^2

35. Area of Triangle
Pi*r^2
(a-b)(a+b)
1.4
1/2bh

36. If something is possible but not certain - what is the numeric range of probability of it happening?
Opens down
(x1+x2)/2 - (y1+y2)/2
Between 0 and 1.
x² -2xy + y²

37. What is the area of a triangle?
1/2bh
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.
?r²
Percentage Change = Difference/Original * 100

38. Perimeter of polygon
Sum of the lengths of the sides
(0 -0)
4s
Pi*d

39. a² - b² is equal to
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
(a+b)(a-b)
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.
(pi)r^2(h)

40. Central Angle
x²-y²
Opens up
An ange whose vertex is the center of the circle
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

41. Define a factorial of a number - and how it is written.
1/2bh
The distance across the circle through the center of the circle.The diameter is twice the radius.
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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.

42. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
A=?r2
A²-b²
(n/2) * (t1+tn)

43. Volume of pyramid
A segment connecting the center of a circle to any point on the circle
2(lw+wh+lh)
1/3Bh
Arrangements - orders - schedules - or lists.

44. Chord
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The set of points which are all the same distance (the radius) from a certain point (the center).
The distance from one point on the circle to another point on the circle.
1/2 h (b1 + b2)

45. When you reverse FOIL - the term that needs to multiply out is the _____
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
Last term
The distance across the circle through the center of the circle.The diameter is twice the radius.
Pir^2h

46. Define the range of a set of numbers.
Groups - teams - or committees.
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.
A=?r2
S^2

47. x^-a =
Less
1/x^a
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Total distance/total time

48. Area of Square
2(pi)r(r+h)
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.
S^2
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.

49. Surface Area of Cylinder
4/3pir^3
2pi*r
(a+b)²
2pir^2 + 2pir*h

50. What is the average?
b±[vb²-4ac]/2a
An ange whose vertex is the center of the circle
Sum of terms/number of terms
A circle'S perimeter is roughly 3x its diameter (the formula is pd).

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GRE Math 2

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