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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. To divide powers with the same base...
4s (where s = length of a side)
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
An ange whose vertex is the center of the circle
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.

2. Area of Rectangle
Last term
Lw
(a+b)(a-b)
Lwh

3. What is the equation of a line?

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4. (a+b)(a-b)=
½(b1 +b2) x h [or (b1 +b2) x h÷2]
A²-b²
1
2x2x2x5x5

5. How do you solve a permutation?
(a-b)²
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
Probability A + Probability B
½(b1 +b2) x h [or (b1 +b2) x h÷2]

6. Volume of Cylinder
Less
Pir^2h
(pi)r^2
4pir^2

7. x^-a =
1/x^a
The set of points which are all the same distance (the radius) from a certain point (the center).
(a+b)(a²-ab+b²)
(a-b)(a+b)

8. Arc
(0 -0)
Less
Part of a circle connecting two points on the circle.
T1 + (n-1)d

9. What is the side ratio for a 30:60:90 triangle?
Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.
?d OR 2?r
The distance across the circle through the center of the circle.The diameter is twice the radius.
y-y1=m(x-x1)

10. Area of rectangle - square - parallelogram
4/3pir^3
y = k/x
A=bh
1

11. What is one misleading characteristic of quadratic equations that will be exploited on the GRE?
2(lw+wh+lh)
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.
x°/360 times (?r²) - where x is the degrees in the angle
1/2bh

12. The probability of an event happening and the probability of an event NOT happening must add up to what number?
Order does matter for a permutation - but does not matter for a combination.
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
1. Given event A: A + notA = 1.
½(base x height) [or (base x height)÷2]

13. Central Angle
Pir^2h
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.
An ange whose vertex is the center of the circle
1/3Bh

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

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15. Define the formula for calculating slope.
Slope = rise/run. Find the change in y-coordinates (rise) and the change in x-coordinates (run) to calculate.
(a+b)(a-b)
2Length + 2width [or (length + width) x 2]
Lw

16. Area of a trapezoid
2l+2w
½(b1 +b2) x h [or (b1 +b2) x h÷2]
y = kx
The four big angles are equal and the four small angles are equal

17. What is the point-slope form?
(a+b)²
A+b
x²-y²
(y-y1)=m(x-x1)

18. What'S the most important thing to remember about charts you'll see on the GRE?
½(b1 +b2) x h [or (b1 +b2) x h÷2]
4s
1/1
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.

19. Area of Circles
1. Given event A: A + notA = 1.
The formula is a² + b² + c² = d² where a - b - c are the dimensions of the figure and d is the diagonal.
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.
A=?r2

20. What is an 'equilateral' triangle?
2lw+2lh+2wh
Sqr( x2 -x1) + (y2- y1)
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
N x M

21. What must be true before a quadratic equation can be solved?

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22. 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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23. How do you multiply and divide square roots?
1.4
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.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
y-y1=m(x-x1)

24. What is a '30:60:90' triangle?
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
1/1
Ac+ad+bc+bd
The total # of possible outcomes.

25. What is the volume of a cylinder?
Pi*d
(pi)r^2(h)
(x+y)(x-y)
4pir^2

26. How do you find the midpoint?
Middle term
?d OR 2?r
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
(x1+x2)/2 - (y1+y2)/2

27. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
Order does matter for a permutation - but does not matter for a combination.
y = k/x
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.
(a+b)(a-b)

28. What is the side ratio for a Right Isosceles triangle?
Groups - teams - or committees.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Ac+ad+bc+bd
S^2

29. Chord
4s (where s = length of a side)
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.
Ratio of sides is x : xv3 : 2x - where x is the base - xv3 is the height - and 2x is the hypotenuse.

30. Circumference of a circle using radius
x² + 2xy + y²
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.
2pi*r
(x+y)(x-y)

31. Volume of Cone
Ac+ad+bc+bd
(y2-y1)/(x2-x1)
1/3pir^2*h
Not necessarily. This is a trick question - because x could be either positive or negative.

32. How do you find the nth term of a geometric sequence?
2 pi r
T1 * r^(n-1)
x²-y²
(a-b)²

33. What number goes on the bottom of a probability fraction?
Bh
Sum of the lengths of the sides
The total # of possible outcomes.
N x M

34. Surface Area of Cylinder
2(pi)r(r+h)
(a+b)(a-b)
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.
2pir^2 + 2pir*h

35. Surface Area of Sphere
2(pi)r(r+h)
Opens up
?d OR 2?r
4pir^2

36. Rough est. of v2 =
Pi*d
1.4
(n degrees/360) * (pi)r^2
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5

37. Rough est. of v3 =
1.7
(0 -0)
1/2 h (b1 + b2)
(a-b)(a²+ab+b²)

38. For a bell curve - what three terms might be used to describe the number in the middle?
Part of a circle connecting two points on the circle.
x°/360 times (2 pi r) - where x is the degrees in the angle
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 average - mean - median - or mode.

39. Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
x°/360 times (2 pi r) - where x is the degrees in the angle
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

40. Area of Triangle
2x2x2x5x5
1/2bh
½(base x height) [or (base x height)÷2]
2lw+2lh+2wh

41. Volume of prism
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.
Bh
(a-b)²
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.

42. perimeter of square
1.7
2pi*r
4s
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.

43. What is the average?
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.
4/3pir^3
An ange whose vertex is the center of the circle
Sum of terms/number of terms

44. Circumference Formula
C =?d
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.
A²-b²
Not necessarily. This is a trick question - because x could be either positive or negative.

45. How do you calculate the probability of EITHER one event OR another event happening? (Probability of A or B)
Probability A + Probability B
½(base x height) [or (base x height)÷2]
Less
A²-b²

46. What is the length of an arc?
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.
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 degrees/360) * 2(pi)r
2pi*r

47. What is inversely proportional?
x°/360 times (?r²) - where x is the degrees in the angle
Lw
4/3pir^3
y = k/x

48. Perimeter of rectangle
2l+2w
(y-y1)=m(x-x1)
The four big angles are equal and the four small angles are equal
4s (where s = length of a side)

49. Rough est. of v1 =
The total # of possible outcomes.
1
The four big angles are equal and the four small angles are equal
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

50. List two odd behaviors of exponents
2(lw+wh+lh)
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.
(x+y)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.