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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. Area of Trapezoid
Number of desired outcomes/number of total outcomes
The distance from one point on the circle to another point on the circle.
1/2 h (b1 + 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.

2. x^-a =
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
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
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/x^a

3. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
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.
4/3pir^3
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

4. Area of Triangle
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.
2Length + 2width [or (length + width) x 2]
1/2bh

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

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6. What is the formula for the diagonal of any square?
S*v2
N x M
The distance across the circle through the center of the circle.The diameter is twice the radius.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

7. What is the length of an arc?
(n degrees/360) * 2(pi)r
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
x² + 2xy + y²

8. Area of Square
S^2
2(pi)r(r+h)
Sum of terms/number of terms
1/3pir^2*h

9. What is the circumference of a circle?
2 pi r
4s (where s = length of a side)
x² -2xy + y²
2(pi)r

10. The probability of an event happening and the probability of an event NOT happening must add up to what number?
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.
(n-2)180
Pi*d
1. Given event A: A + notA = 1.

11. What is the area of a sector?
Opens down
Last term
(n degrees/360) * (pi)r^2
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.

12. What is the equation of a line?

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13. How do you find the slope?
1/2 h (b1 + 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.
The total # of possible outcomes.
y2-y1/x2-x1

14. What is the prime factorization of 200?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
2pi*r
2x2x2x5x5
1/2 h (b1 + b2)

15. How do you calculate the percentage of change?
y = kx
1/1
Percentage Change = Difference/Original * 100
(y-y1)=m(x-x1)

16. Define the range of a set of numbers.
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.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

17. Central Angle
An ange whose vertex is the center of the circle
(n-2)180
Part of a circle connecting two points on the circle.
Bh

18. Quadratic Formula
Sum of the lengths of the sides
b±[vb²-4ac]/2a
T1 + (n-1)d
(0 -0)

19. Area of rectangle - square - parallelogram
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.
2lw+2lh+2wh
A=bh
(a-b)²

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

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21. If something is possible but not certain - what is the numeric range of probability of it happening?
Equal
Between 0 and 1.
Lw
Bh

22. Surface Area of rectangular prism
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.
1.4
(x-y)²
2lw+2lh+2wh

23. 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.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(pi)r^2
Negative

24. Chord
4s
The distance from one point on the circle to another point on the circle.
Groups - teams - or committees.
4pir^2

25. What is the factored version of x² -2xy + y² ?
A²-b²
?r²
(x-y)²
(a+b)(a-b)

26. (a+b)(a-b)=
Number of desired outcomes/number of total outcomes
A²-b²
Less
4s

27. Sector
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.
Sqr( x2 -x1) + (y2- y1)
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.

28. What is the average speed?
x°/360 times (?r²) - where x is the degrees in the angle
1/1
Total distance/total time
1/x^a

29. What do permutation problems often ask for?
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
?d OR 2?r
Arrangements - orders - schedules - or lists.
S^2

30. In a coordinate system - identify the quadrants and describe their location.
(n degrees/360) * (pi)r^2
A=?r2
1/1
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

31. Volume of pyramid
1/3Bh
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
2lw+2lh+2wh
A+b

32. Diameter
1/1
Last term
The distance across the circle through the center of the circle.The diameter is twice the radius.
Middle term

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

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34. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
1/3Bh
The average - mean - median - or mode.
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

35. Area of a trapezoid
Ac+ad+bc+bd
½(b1 +b2) x h [or (b1 +b2) x h÷2]
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.
S^2

36. What is the area of a solid rectangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
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.
2(lw+wh+lh)
Bh

37. What do combination problems usually ask for?
Not necessarily. This is a trick question - because x could be either positive or negative.
Groups - teams - or committees.
(n degrees/360) * (pi)r^2
Pi*r^2

38. What is the sum of the inside angles of an n-sided polygon?
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
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.
(n-2)180
A²-b²

39. What is the factored version of x² + 2xy + y² ?
(x+y)²
2l+2w
2Length + 2width [or (length + width) x 2]
x²-y²

40. What is inversely proportional?
A+b
y = k/x
Order does matter for a permutation - but does not matter for a combination.
4/3pir^3

41. What is an 'equilateral' triangle?
1.7
(a+b)(a²-ab+b²)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
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

42. Rough est. of v1 =
1
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
2 pi r
1/1

43. What is a 'Right isosceles' triangle?
An ange whose vertex is the center of the circle
Sum of the lengths of the sides
Lw
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.

44. How do you find the midpoint?
(x1+x2)/2 - (y1+y2)/2
(pi)r^2
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
1/3Bh

45. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
y = kx
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.

46. What is the area of a triangle?
1/2bh
A segment connecting the center of a circle to any point on the circle
(a-b)²
S² - where s = length of a side

47. Volume of Cone
Less
(n-2)180
1/3pir^2*h
2(pi)r(r+h)

48. Area of a sector
(x-y)²
x°/360 times (?r²) - where x is the degrees in the angle
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'.
1/1

49. Arc
(x+y)(x-y)
Part of a circle connecting two points on the circle.
Last term
?d OR 2?r

50. Area of Circle
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.
Pi*r^2
1/x^a
2pi*r