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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. Define a factorial of a number - and how it is written.
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.
y-y1=m(x-x1)
Arrangements - orders - schedules - or lists.
Last term

2. What is a 'Right isosceles' triangle?
(pi)r^2
1/3Bh
1.7
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.

3. Perimeter of polygon
Sum of the lengths of the sides
T1 * r^(n-1)/(r-1)
2pi*r
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.

4. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
(x1+x2)/2 - (y1+y2)/2
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.
An ange whose vertex is the center of the circle
y-y1=m(x-x1)

5. 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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6. What is the volume of a cylinder?
(pi)r^2(h)
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
(a+b)(a-b)
Total distance/total time

7. Area of Parallelogram
S^2
y2-y1/x2-x1
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
Bh

8. What is the unfactored version of (x+y)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.
x² + 2xy + y²
S*v2
The distance across the circle through the center of the circle.The diameter is twice the radius.

9. If something is certain to happen - how is the probability of this event expressed mathematically?
1/1
Probability A + Probability B
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
Sqr( x2 -x1) + (y2- y1)

10. Surface Area of rectangular prism
(x1+x2)/2 - (y1+y2)/2
y2-y1/x2-x1
The four big angles are equal and the four small angles are equal
2lw+2lh+2wh

11. Perimeter of rectangle
S^2
Part of a circle connecting two points on the circle.
2l+2w
y = k/x

12. What is the prime factorization of 200?
Groups - teams - or committees.
Bh
2x2x2x5x5
½(b1 +b2) x h [or (b1 +b2) x h÷2]

13. Volume of Cone
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.
Negative
1/3pir^2*h
Pir^2h

14. How do you calculate the percentage of change?
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.
A=bh
Percentage Change = Difference/Original * 100
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.

15. How do you calculate a diagonal inside a 3-dimensional rectangular box?
Sum of terms/number of terms
Negative
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
Sum of the lengths of the sides

16. (a+b)(c+d)
Ac+ad+bc+bd
1/1
Less
The distance across the circle through the center of the circle.The diameter is twice the radius.

17. Area of a trapezoid
4pir^2
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(b1 +b2) x h [or (b1 +b2) x h÷2]
1

18. Radius (Radii)
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 segment connecting the center of a circle to any point on the circle
2(pi)r
x°/360 times (?r²) - where x is the degrees in the angle

19. Quadratic Formula
b±[vb²-4ac]/2a
Pi*r^2
An ange whose vertex is the center of the circle
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

20. What number goes on the bottom of a probability fraction?
Probability A + Probability B
4s
The total # of possible outcomes.
The distance from one point on the circle to another point on the circle.

21. What is the distance formula?
Sqr( x2 -x1) + (y2- y1)
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.
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.
T1 * r^(n-1)/(r-1)

22. Define the 'Third side' rule for triangles

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23. In a coordinate system - what is the origin?
(0 -0)
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
Total distance/total time
(n degrees/360) * 2(pi)r

24. Perimeter (circumference) of a circle
2 pi r
(a+b)(a-b)
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Between 0 and 1.

25. When a line crosses two parallel lines - ________.
(a-b)(a+b)
2pi*r
N x M
The four big angles are equal and the four small angles are equal

26. The probability of an event happening and the probability of an event NOT happening must add up to what number?
?r²
1. Given event A: A + notA = 1.
?d OR 2?r
2(pi)r

27. What is the equation of a line?

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

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29. (a+b)(a-b)=
A²-b²
T1 + (n-1)d
C =?d
(y-y1)=m(x-x1)

30. Volume of Cylinder
Pir^2h
(a+b)(a-b)
1. Given event A: A + notA = 1.
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.

31. If x² = 144 - does v144 = x?
Not necessarily. This is a trick question - because x could be either positive or negative.
(a-b)(a+b)
T1 + (n-1)d
2(pi)r(r+h)

32. Area of a circle
(x-y)²
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.
Ac+ad+bc+bd
?r²

33. What is the 'Third side' rule for triangles?
b±[vb²-4ac]/2a
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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=?r2

34. In a parabola - if the first term is positive - the parabola ________.
T1 + (n-1)d
Pi*r^2
Opens up
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

35. What is directly proportional?
y = k/x
y = kx
Last term
1. Given event A: A + notA = 1.

36. x^a * x^b = x^__
Between 0 and 1.
x² + 2xy + y²
A+b
Less

37. Circumference of cirlce using diameter
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
(x+y)(x-y)
The average - mean - median - or mode.
Pi*d

38. Area of a sector
(a-b)²
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.
1/3Bh
x°/360 times (?r²) - where x is the degrees in the angle

39. The length of one side of any triangle is ____ than the sum of the other two sides.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
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.
Less
Negative

40. When you reverse FOIL - the term that needs to multiply out is the _____
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.
Last term
The distance from one point on the circle to another point on the 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.

41. What is a '30:60:90' triangle?
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.
4s
1/3Bh
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

42. a³-b³
4s
4s (where s = length of a side)
(a-b)(a²+ab+b²)
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.

43. What is the volume of a solid rectangle?
Opens down
1/2bh
Lwh
Probability A + Probability B

44. How do you find the sum of a geometric sequence?
T1 * r^(n-1)/(r-1)
½(base x height) [or (base x height)÷2]
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
(y2-y1)/(x2-x1)

45. a²-2ab+b²
(a-b)²
The distance from one point on the circle to another point on the circle.
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.
Number of desired outcomes/number of total outcomes

46. length of a sector
Bh
x°/360 times (2 pi r) - where x is the degrees in the angle
1.7
Equal

47. Explain the special properties of zero.
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.
1/3pir^2*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.
y = k/x

48. Chord
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.
2Length + 2width [or (length + width) x 2]
The distance from one point on the circle to another point on the circle.
Last term

49. If something is possible but not certain - what is the numeric range of probability of it happening?
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Between 0 and 1.
Total distance/total time
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.

50. Volume of sphere
4pir^2
Less
2Length + 2width [or (length + width) x 2]
4/3pir^3